Metrics for 0.5 + 0.4 * cos(x) + 0.1 * cos(2 x)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 21 to 18 computations (14.3% saved)

sample1.4s (34.2%)

Memory

-43.2MiB live, 711.2MiB allocated

Samples

932.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 635.0ms

ival-<=: 178.0ms (28% of total)

ival-mult: 170.0ms (26.8% of total)

ival-cos: 155.0ms (24.4% of total)

ival-add: 90.0ms (14.2% of total)

exact: 26.0ms (4.1% of total)

ival-and: 13.0ms (2% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain220.0ms (5.3%)

Memory

47.7MiB live, 143.1MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x)))`
0	-	-	`(*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))`
0	-	-	`#s(literal 3602879701896397/9007199254740992 binary64)`
0	-	-	`(*.f64 #s(literal 2 binary64) x)`
1	(591.1840515872964)	-	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`
0	-	-	`#s(literal 3602879701896397/36028797018963968 binary64)`
0	-	-	`(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))`
0	-	-	`(.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(cos.f64 x)`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	1	254

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	0

Precision?

0.0

Recall?

0/0

Samples

44.0ms

512×

valid

Compiler

Compiled 103 to 40 computations (61.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 10.0ms (38.5% of total)

ival-cos: 9.0ms (34.7% of total)

ival-add: 5.0ms (19.3% of total)

ival-true: 1.0ms (3.9% of total)

exact: 1.0ms (3.9% of total)

ival-assert: 0.0ms (0% of total)

preprocess62.0ms (1.5%)

Memory

-29.3MiB live, 32.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	33	26
2	87	26
3	180	26
4	307	26
5	452	26
6	585	26
7	639	26
8	649	26
0	12	13
0	19	13
1	26	13
2	33	13
3	35	13
0	35	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs

(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))

Outputs

(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))

(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))

Symmetry

(abs x)

Compiler

Compiled 13 to 12 computations (7.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))

Status

Accuracy

Program

▶

100.0%

(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify4.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 x)
cost-diff	0	(*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))
cost-diff	1	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x)))
cost-diff	1	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
0	19	43
1	26	43
2	33	43
3	35	43
0	35	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))
#s(literal 3602879701896397/9007199254740992 binary64)
(cos.f64 x)
x
(.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))
#s(literal 3602879701896397/36028797018963968 binary64)
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

Outputs
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64))
#s(literal 3602879701896397/9007199254740992 binary64)
(cos.f64 x)
x
(.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64))
#s(literal 3602879701896397/36028797018963968 binary64)
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize30.0ms (0.7%)

Memory

39.4MiB live, 39.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
accuracy	0.0078125	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x)))
accuracy	0.0078125	(*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))
accuracy	0.0078125	(.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))

Samples

22.0ms

256×

valid

Compiler

Compiled 45 to 14 computations (68.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 5.0ms (39.3% of total)

ival-cos: 4.0ms (31.5% of total)

ival-add: 2.0ms (15.7% of total)

exact: 1.0ms (7.9% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

5 → 25

Calls

Call 1

Inputs
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x)))
(*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))
(cos.f64 x)
(.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))

Outputs
36028797018963969/36028797018963968
(+ 36028797018963969/36028797018963968 (* -3602879701896397/9007199254740992 (pow x 2)))
(+ 36028797018963969/36028797018963968 (* (pow x 2) (- (* 18014398509481985/216172782113783808 (pow x 2)) 3602879701896397/9007199254740992)))
(+ 36028797018963969/36028797018963968 (* (pow x 2) (- (* (pow x 2) (+ 18014398509481985/216172782113783808 (* -61248954932238749/6485183463413514240 (pow x 2)))) 3602879701896397/9007199254740992)))
8106479329266893/9007199254740992
(+ 8106479329266893/9007199254740992 (* -3602879701896397/18014398509481984 (pow x 2)))
(+ 8106479329266893/9007199254740992 (* (pow x 2) (- (* 3602879701896397/216172782113783808 (pow x 2)) 3602879701896397/18014398509481984)))
(+ 8106479329266893/9007199254740992 (* (pow x 2) (- (* (pow x 2) (+ 3602879701896397/216172782113783808 (* -3602879701896397/6485183463413514240 (pow x 2)))) 3602879701896397/18014398509481984)))
3602879701896397/9007199254740992
(+ 3602879701896397/9007199254740992 (* -3602879701896397/18014398509481984 (pow x 2)))
(+ 3602879701896397/9007199254740992 (* (pow x 2) (- (* 3602879701896397/216172782113783808 (pow x 2)) 3602879701896397/18014398509481984)))
(+ 3602879701896397/9007199254740992 (* (pow x 2) (- (* (pow x 2) (+ 3602879701896397/216172782113783808 (* -3602879701896397/6485183463413514240 (pow x 2)))) 3602879701896397/18014398509481984)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
3602879701896397/36028797018963968
(+ 3602879701896397/36028797018963968 (* -3602879701896397/18014398509481984 (pow x 2)))
(+ 3602879701896397/36028797018963968 (* (pow x 2) (- (* 3602879701896397/54043195528445952 (pow x 2)) 3602879701896397/18014398509481984)))
(+ 3602879701896397/36028797018963968 (* (pow x 2) (- (* (pow x 2) (+ 3602879701896397/54043195528445952 (* -3602879701896397/405323966463344640 (pow x 2)))) 3602879701896397/18014398509481984)))
(+ 1/2 (+ (* 3602879701896397/36028797018963968 (cos (* 2 x))) (* 3602879701896397/9007199254740992 (cos x))))
(+ 1/2 (* 3602879701896397/9007199254740992 (cos x)))
(* 3602879701896397/9007199254740992 (cos x))
(cos x)
(* 3602879701896397/36028797018963968 (cos (* 2 x)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/9007199254740992 (cos x)) (cos x) (* 3602879701896397/36028797018963968 (cos (* 2 x))))
1.0ms	x	@	inf	((+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/9007199254740992 (cos x)) (cos x) (* 3602879701896397/36028797018963968 (cos (* 2 x))))
1.0ms	x	@	-inf	((+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/9007199254740992 (cos x)) (cos x) (* 3602879701896397/36028797018963968 (cos (* 2 x))))

Time

Variable

Point

Expression

1.0ms

((+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/9007199254740992 (cos x)) (cos x) (* 3602879701896397/36028797018963968 (cos (* 2 x))))

1.0ms

inf

((+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/9007199254740992 (cos x)) (cos x) (* 3602879701896397/36028797018963968 (cos (* 2 x))))

1.0ms

-inf

((+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/9007199254740992 (cos x)) (cos x) (* 3602879701896397/36028797018963968 (cos (* 2 x))))

simplify316.0ms (7.6%)

Memory

84.0MiB live, 163.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	231
1	163	231
2	365	231
3	800	231
4	1430	231
5	1953	231
6	2308	231
7	3018	231
8	4520	231
9	6889	231
0	8112	198

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

Inputs
36028797018963969/36028797018963968
(+ 36028797018963969/36028797018963968 (* -3602879701896397/9007199254740992 (pow x 2)))
(+ 36028797018963969/36028797018963968 (* (pow x 2) (- (* 18014398509481985/216172782113783808 (pow x 2)) 3602879701896397/9007199254740992)))
(+ 36028797018963969/36028797018963968 (* (pow x 2) (- (* (pow x 2) (+ 18014398509481985/216172782113783808 (* -61248954932238749/6485183463413514240 (pow x 2)))) 3602879701896397/9007199254740992)))
8106479329266893/9007199254740992
(+ 8106479329266893/9007199254740992 (* -3602879701896397/18014398509481984 (pow x 2)))
(+ 8106479329266893/9007199254740992 (* (pow x 2) (- (* 3602879701896397/216172782113783808 (pow x 2)) 3602879701896397/18014398509481984)))
(+ 8106479329266893/9007199254740992 (* (pow x 2) (- (* (pow x 2) (+ 3602879701896397/216172782113783808 (* -3602879701896397/6485183463413514240 (pow x 2)))) 3602879701896397/18014398509481984)))
3602879701896397/9007199254740992
(+ 3602879701896397/9007199254740992 (* -3602879701896397/18014398509481984 (pow x 2)))
(+ 3602879701896397/9007199254740992 (* (pow x 2) (- (* 3602879701896397/216172782113783808 (pow x 2)) 3602879701896397/18014398509481984)))
(+ 3602879701896397/9007199254740992 (* (pow x 2) (- (* (pow x 2) (+ 3602879701896397/216172782113783808 (* -3602879701896397/6485183463413514240 (pow x 2)))) 3602879701896397/18014398509481984)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
3602879701896397/36028797018963968
(+ 3602879701896397/36028797018963968 (* -3602879701896397/18014398509481984 (pow x 2)))
(+ 3602879701896397/36028797018963968 (* (pow x 2) (- (* 3602879701896397/54043195528445952 (pow x 2)) 3602879701896397/18014398509481984)))
(+ 3602879701896397/36028797018963968 (* (pow x 2) (- (* (pow x 2) (+ 3602879701896397/54043195528445952 (* -3602879701896397/405323966463344640 (pow x 2)))) 3602879701896397/18014398509481984)))
(+ 1/2 (+ (* 3602879701896397/36028797018963968 (cos (* 2 x))) (* 3602879701896397/9007199254740992 (cos x))))
(+ 1/2 (* 3602879701896397/9007199254740992 (cos x)))
(* 3602879701896397/9007199254740992 (cos x))
(cos x)
(* 3602879701896397/36028797018963968 (cos (* 2 x)))

Outputs
36028797018963969/36028797018963968
#s(literal 36028797018963969/36028797018963968 binary64)
(+ 36028797018963969/36028797018963968 (* -3602879701896397/9007199254740992 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64) #s(literal 36028797018963969/36028797018963968 binary64))
(+ 36028797018963969/36028797018963968 (* (pow x 2) (- (* 18014398509481985/216172782113783808 (pow x 2)) 3602879701896397/9007199254740992)))
(fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64))
(+ 36028797018963969/36028797018963968 (* (pow x 2) (- (* (pow x 2) (+ 18014398509481985/216172782113783808 (* -61248954932238749/6485183463413514240 (pow x 2)))) 3602879701896397/9007199254740992)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61248954932238749/6485183463413514240 binary64) (.f64 x x) #s(literal 18014398509481985/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (*.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64))
8106479329266893/9007199254740992
#s(literal 8106479329266893/9007199254740992 binary64)
(+ 8106479329266893/9007199254740992 (* -3602879701896397/18014398509481984 (pow x 2)))
(fma.f64 #s(literal -3602879701896397/18014398509481984 binary64) (*.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))
(+ 8106479329266893/9007199254740992 (* (pow x 2) (- (* 3602879701896397/216172782113783808 (pow x 2)) 3602879701896397/18014398509481984)))
(fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))
(+ 8106479329266893/9007199254740992 (* (pow x 2) (- (* (pow x 2) (+ 3602879701896397/216172782113783808 (* -3602879701896397/6485183463413514240 (pow x 2)))) 3602879701896397/18014398509481984)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -3602879701896397/6485183463413514240 binary64) (.f64 x x) #s(literal 3602879701896397/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))
3602879701896397/9007199254740992
#s(literal 3602879701896397/9007199254740992 binary64)
(+ 3602879701896397/9007199254740992 (* -3602879701896397/18014398509481984 (pow x 2)))
(fma.f64 #s(literal -3602879701896397/18014398509481984 binary64) (*.f64 x x) #s(literal 3602879701896397/9007199254740992 binary64))
(+ 3602879701896397/9007199254740992 (* (pow x 2) (- (* 3602879701896397/216172782113783808 (pow x 2)) 3602879701896397/18014398509481984)))
(fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 3602879701896397/9007199254740992 binary64))
(+ 3602879701896397/9007199254740992 (* (pow x 2) (- (* (pow x 2) (+ 3602879701896397/216172782113783808 (* -3602879701896397/6485183463413514240 (pow x 2)))) 3602879701896397/18014398509481984)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -3602879701896397/6485183463413514240 binary64) (.f64 x x) #s(literal 3602879701896397/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x x) #s(literal 3602879701896397/9007199254740992 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
3602879701896397/36028797018963968
#s(literal 3602879701896397/36028797018963968 binary64)
(+ 3602879701896397/36028797018963968 (* -3602879701896397/18014398509481984 (pow x 2)))
(fma.f64 #s(literal -3602879701896397/18014398509481984 binary64) (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))
(+ 3602879701896397/36028797018963968 (* (pow x 2) (- (* 3602879701896397/54043195528445952 (pow x 2)) 3602879701896397/18014398509481984)))
(fma.f64 (fma.f64 #s(literal 3602879701896397/54043195528445952 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))
(+ 3602879701896397/36028797018963968 (* (pow x 2) (- (* (pow x 2) (+ 3602879701896397/54043195528445952 (* -3602879701896397/405323966463344640 (pow x 2)))) 3602879701896397/18014398509481984)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -3602879701896397/405323966463344640 binary64) (.f64 x x) #s(literal 3602879701896397/54043195528445952 binary64)) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))
(+ 1/2 (+ (* 3602879701896397/36028797018963968 (cos (* 2 x))) (* 3602879701896397/9007199254740992 (cos x))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))
(+ 1/2 (* 3602879701896397/9007199254740992 (cos x)))
(fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64))
(* 3602879701896397/9007199254740992 (cos x))
(*.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64))
(cos x)
(cos.f64 x)
(* 3602879701896397/36028797018963968 (cos (* 2 x)))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64))

rewrite298.0ms (7.2%)

Memory

-142.0MiB live, 48.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
0	19	31
1	57	31
2	425	31
3	6197	31
0	8024	28

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 178

Calls

Call 1

Inputs
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x)))
(*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))
(cos.f64 x)
(.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))

Outputs
(.f64 (/.f64 (fma.f64 #s(literal -12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(literal 3 binary64)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 46768052394588901170963202449162931770298562773/46768052394588893382517914646921056628989841375232 binary64) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 #s(literal -3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 #s(literal -3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 46768052394588901170963202449162931770298562773/46768052394588893382517914646921056628989841375232 binary64) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 #s(literal -3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 #s(literal -3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64))) (-.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 #s(literal -3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64))) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (neg.f64 (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 #s(literal -3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 (fma.f64 #s(literal -3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 #s(literal -3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64)) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 46768052394588901170963202449162931770298562773/46768052394588893382517914646921056628989841375232 binary64) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64))) (-.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (*.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 #s(literal -3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 46768052394588901170963202449162931770298562773/46768052394588893382517914646921056628989841375232 binary64) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 #s(literal -3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64)) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 #s(literal -12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 #s(literal -3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64)) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 #s(literal -3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64)) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 #s(literal -3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64)) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 #s(literal -3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64)) (pow.f64 (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))))
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(+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 12980742146337070512478121581609/81129638414606681695789005144064 binary64) (fma.f64 #s(literal -3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64)))
(*.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64))
(*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))
(cos.f64 x)
(.f64 (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (+.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (cos.f64 x) (sin.f64 x)))
(.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (.f64 (-.f64 (cos.f64 x) (sin.f64 x)) #s(literal 3602879701896397/36028797018963968 binary64)))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64))
(.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) #s(literal 3602879701896397/36028797018963968 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3602879701896397/36028797018963968 binary64) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 3602879701896397/36028797018963968 binary64)))
(fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3602879701896397/36028797018963968 binary64)) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 3602879701896397/36028797018963968 binary64)))
(+.f64 (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))

eval25.0ms (0.6%)

Memory: 20.3MiB live, 20.3MiB allocated
Compiler: Compiled 6 480 to 677 computations (89.6% saved)

prune10.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	193	10	203
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	194	10	204

Accuracy

100.0%

Counts

204 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))
	99.0%	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -3602879701896397/405323966463344640 binary64) (.f64 x x) #s(literal 3602879701896397/54043195528445952 binary64)) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))))
	99.0%	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/54043195528445952 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))))
▶	98.1%	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64)))
	99.0%	(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -3602879701896397/6485183463413514240 binary64) (.f64 x x) #s(literal 3602879701896397/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
▶	99.0%	(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
	98.9%	#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61248954932238749/6485183463413514240 binary64) (.f64 x x) #s(literal 18014398509481985/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (*.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
▶	99.0%	#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
	98.5%	#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64) #s(literal 36028797018963969/36028797018963968 binary64)))
▶	98.1%	#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))

Compiler

Compiled 452 to 350 computations (22.6% saved)

simplify9.0ms (0.2%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))
cost-diff	0	#s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64)))
cost-diff	1	(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
cost-diff	0	(cos.f64 x)
cost-diff	0	(*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))
cost-diff	0	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64)))
cost-diff	1	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64))
cost-diff	0	#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
cost-diff	0	#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))
cost-diff	0	(fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	216
0	60	208
1	93	208
2	134	208
3	225	208
4	287	208
5	291	208
6	293	208
0	293	207

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal 3602879701896397/36028797018963968 binary64)
(fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64))
(cos.f64 x)
#s(literal 3602879701896397/9007199254740992 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))
#s(literal 36028797018963969/36028797018963968 binary64)
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
(fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64))
(fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64))
#s(literal 18014398509481985/216172782113783808 binary64)
(*.f64 x x)
x
#s(literal -3602879701896397/9007199254740992 binary64)
#s(literal 36028797018963969/36028797018963968 binary64)
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))
#s(literal 3602879701896397/9007199254740992 binary64)
(cos.f64 x)
x
#s(approx (* 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64))
#s(literal 3602879701896397/36028797018963968 binary64)
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
#s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64)))
(fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))
(fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64))
#s(literal 3602879701896397/216172782113783808 binary64)
(*.f64 x x)
x
#s(literal -3602879701896397/18014398509481984 binary64)
#s(literal 8106479329266893/9007199254740992 binary64)
(.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))
#s(literal 3602879701896397/36028797018963968 binary64)
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

Outputs
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(literal 3602879701896397/36028797018963968 binary64)
(fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(cos.f64 x)
#s(literal 3602879701896397/9007199254740992 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))
#s(literal 36028797018963969/36028797018963968 binary64)
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 18014398509481985/216172782113783808 binary64) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
(fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 18014398509481985/216172782113783808 binary64) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64))
(fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64))
(fma.f64 (*.f64 x x) #s(literal 18014398509481985/216172782113783808 binary64) #s(literal -3602879701896397/9007199254740992 binary64))
#s(literal 18014398509481985/216172782113783808 binary64)
(*.f64 x x)
x
#s(literal -3602879701896397/9007199254740992 binary64)
#s(literal 36028797018963969/36028797018963968 binary64)
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64)))
(fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) (+.f64 #s(approx (* 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x)))
(fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))
#s(literal 3602879701896397/9007199254740992 binary64)
(cos.f64 x)
x
#s(approx (* 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64))
#s(literal 3602879701896397/36028797018963968 binary64)
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))) #s(approx (+ 1/2 ( 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))))
#s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64)))
(fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))
(fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64))
#s(literal 3602879701896397/216172782113783808 binary64)
(*.f64 x x)
x
#s(literal -3602879701896397/18014398509481984 binary64)
#s(literal 8106479329266893/9007199254740992 binary64)
(.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))
#s(literal 3602879701896397/36028797018963968 binary64)
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize102.0ms (2.5%)

Memory

-57.6MiB live, 31.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64))
accuracy	0.00390625	(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
accuracy	0.0078125	(.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))
accuracy	0.614117343066091	#s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64)))
accuracy	0.00390625	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64)))
accuracy	0.0078125	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x)))
accuracy	0.0078125	(*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))
accuracy	1.3868932908870037	#s(approx (* 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64))
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64))
accuracy	0.6447994641328292	#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
accuracy	1.2422046913353386	#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))
accuracy	0.0	(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.0	(cos.f64 x)
accuracy	0.00390625	(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))
accuracy	0.0078125	(fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64))

Samples

81.0ms

256×

valid

Compiler

Compiled 185 to 33 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 16.0ms (36.8% of total)

const: 14.0ms (32.2% of total)

ival-add: 9.0ms (20.7% of total)

ival-cos: 4.0ms (9.2% of total)

exact: 1.0ms (2.3% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

19 → 45

Calls

Call 1

Inputs
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
(fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64))
(fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64))
(*.f64 x x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64)))
(*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))
(cos.f64 x)
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
#s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64)))
(fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))
(fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64))
#s(approx (* 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64))
(.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))

Outputs
36028797018963969/36028797018963968
(+ 36028797018963969/36028797018963968 (* -3602879701896397/9007199254740992 (pow x 2)))
(+ 36028797018963969/36028797018963968 (* (pow x 2) (- (* 18014398509481985/216172782113783808 (pow x 2)) 3602879701896397/9007199254740992)))
(+ 36028797018963969/36028797018963968 (* (pow x 2) (- (* (pow x 2) (+ 18014398509481985/216172782113783808 (* -61248954932238749/6485183463413514240 (pow x 2)))) 3602879701896397/9007199254740992)))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
8106479329266893/9007199254740992
(+ 8106479329266893/9007199254740992 (* -3602879701896397/18014398509481984 (pow x 2)))
(+ 8106479329266893/9007199254740992 (* (pow x 2) (- (* 3602879701896397/216172782113783808 (pow x 2)) 3602879701896397/18014398509481984)))
(+ 8106479329266893/9007199254740992 (* (pow x 2) (- (* (pow x 2) (+ 3602879701896397/216172782113783808 (* -3602879701896397/6485183463413514240 (pow x 2)))) 3602879701896397/18014398509481984)))
-3602879701896397/9007199254740992
(- (* 18014398509481985/216172782113783808 (pow x 2)) 3602879701896397/9007199254740992)
(pow x 2)
3602879701896397/9007199254740992
(+ 3602879701896397/9007199254740992 (* -3602879701896397/18014398509481984 (pow x 2)))
(+ 3602879701896397/9007199254740992 (* (pow x 2) (- (* 3602879701896397/216172782113783808 (pow x 2)) 3602879701896397/18014398509481984)))
(+ 3602879701896397/9007199254740992 (* (pow x 2) (- (* (pow x 2) (+ 3602879701896397/216172782113783808 (* -3602879701896397/6485183463413514240 (pow x 2)))) 3602879701896397/18014398509481984)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
-3602879701896397/18014398509481984
(- (* 3602879701896397/216172782113783808 (pow x 2)) 3602879701896397/18014398509481984)
3602879701896397/36028797018963968
(+ 3602879701896397/36028797018963968 (* -3602879701896397/18014398509481984 (pow x 2)))
(+ 3602879701896397/36028797018963968 (* (pow x 2) (- (* 3602879701896397/54043195528445952 (pow x 2)) 3602879701896397/18014398509481984)))
(+ 3602879701896397/36028797018963968 (* (pow x 2) (- (* (pow x 2) (+ 3602879701896397/54043195528445952 (* -3602879701896397/405323966463344640 (pow x 2)))) 3602879701896397/18014398509481984)))
(+ 1/2 (+ (* 3602879701896397/36028797018963968 (cos (* 2 x))) (* 3602879701896397/9007199254740992 (cos x))))
(cos (* 2 x))
(+ 1/2 (* 3602879701896397/9007199254740992 (cos x)))
(* 18014398509481985/216172782113783808 (pow x 4))
(* (pow x 4) (- 18014398509481985/216172782113783808 (* 3602879701896397/9007199254740992 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 18014398509481985/216172782113783808 (/ 36028797018963969/36028797018963968 (pow x 4))) (* 3602879701896397/9007199254740992 (/ 1 (pow x 2)))))
(* 18014398509481985/216172782113783808 (pow x 2))
(* (pow x 2) (- 18014398509481985/216172782113783808 (* 3602879701896397/9007199254740992 (/ 1 (pow x 2)))))
(* 3602879701896397/9007199254740992 (cos x))
(cos x)
(* 3602879701896397/216172782113783808 (pow x 4))
(* (pow x 4) (- 3602879701896397/216172782113783808 (* 3602879701896397/18014398509481984 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3602879701896397/216172782113783808 (/ 8106479329266893/9007199254740992 (pow x 4))) (* 3602879701896397/18014398509481984 (/ 1 (pow x 2)))))
(* 3602879701896397/216172782113783808 (pow x 2))
(* (pow x 2) (- 3602879701896397/216172782113783808 (* 3602879701896397/18014398509481984 (/ 1 (pow x 2)))))
(* 3602879701896397/36028797018963968 (cos (* 2 x)))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ (* (cos (* 2 x)) 3602879701896397/36028797018963968) (+ (* (cos x) 3602879701896397/9007199254740992) 1/2)) (cos (* 2 x)) (* 2 x) (+ (* (cos x) 3602879701896397/9007199254740992) 1/2) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ (* (+ (* 18014398509481985/216172782113783808 (* x x)) -3602879701896397/9007199254740992) (* x x)) 36028797018963969/36028797018963968) (+ (* 18014398509481985/216172782113783808 (* x x)) -3602879701896397/9007199254740992) (* x x) (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (* 3602879701896397/9007199254740992 (cos x)) (cos x) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (+ (* (+ (* 3602879701896397/216172782113783808 (* x x)) -3602879701896397/18014398509481984) (* x x)) 8106479329266893/9007199254740992) (+ (* 3602879701896397/216172782113783808 (* x x)) -3602879701896397/18014398509481984) (* 3602879701896397/36028797018963968 (cos (* 2 x))) (* 3602879701896397/36028797018963968 (cos (* 2 x))))
2.0ms	x	@	0	((+ (* (cos (* 2 x)) 3602879701896397/36028797018963968) (+ (* (cos x) 3602879701896397/9007199254740992) 1/2)) (cos (* 2 x)) (* 2 x) (+ (* (cos x) 3602879701896397/9007199254740992) 1/2) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ (* (+ (* 18014398509481985/216172782113783808 (* x x)) -3602879701896397/9007199254740992) (* x x)) 36028797018963969/36028797018963968) (+ (* 18014398509481985/216172782113783808 (* x x)) -3602879701896397/9007199254740992) (* x x) (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (* 3602879701896397/9007199254740992 (cos x)) (cos x) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (+ (* (+ (* 3602879701896397/216172782113783808 (* x x)) -3602879701896397/18014398509481984) (* x x)) 8106479329266893/9007199254740992) (+ (* 3602879701896397/216172782113783808 (* x x)) -3602879701896397/18014398509481984) (* 3602879701896397/36028797018963968 (cos (* 2 x))) (* 3602879701896397/36028797018963968 (cos (* 2 x))))
2.0ms	x	@	-inf	((+ (* (cos (* 2 x)) 3602879701896397/36028797018963968) (+ (* (cos x) 3602879701896397/9007199254740992) 1/2)) (cos (* 2 x)) (* 2 x) (+ (* (cos x) 3602879701896397/9007199254740992) 1/2) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ (* (+ (* 18014398509481985/216172782113783808 (* x x)) -3602879701896397/9007199254740992) (* x x)) 36028797018963969/36028797018963968) (+ (* 18014398509481985/216172782113783808 (* x x)) -3602879701896397/9007199254740992) (* x x) (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (* 3602879701896397/9007199254740992 (cos x)) (cos x) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (+ (* (+ (* 3602879701896397/216172782113783808 (* x x)) -3602879701896397/18014398509481984) (* x x)) 8106479329266893/9007199254740992) (+ (* 3602879701896397/216172782113783808 (* x x)) -3602879701896397/18014398509481984) (* 3602879701896397/36028797018963968 (cos (* 2 x))) (* 3602879701896397/36028797018963968 (cos (* 2 x))))

Time

Variable

Point

Expression

2.0ms

inf

((+ (* (cos (* 2 x)) 3602879701896397/36028797018963968) (+ (* (cos x) 3602879701896397/9007199254740992) 1/2)) (cos (* 2 x)) (* 2 x) (+ (* (cos x) 3602879701896397/9007199254740992) 1/2) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ (* (+ (* 18014398509481985/216172782113783808 (* x x)) -3602879701896397/9007199254740992) (* x x)) 36028797018963969/36028797018963968) (+ (* 18014398509481985/216172782113783808 (* x x)) -3602879701896397/9007199254740992) (* x x) (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (* 3602879701896397/9007199254740992 (cos x)) (cos x) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (+ (* (+ (* 3602879701896397/216172782113783808 (* x x)) -3602879701896397/18014398509481984) (* x x)) 8106479329266893/9007199254740992) (+ (* 3602879701896397/216172782113783808 (* x x)) -3602879701896397/18014398509481984) (* 3602879701896397/36028797018963968 (cos (* 2 x))) (* 3602879701896397/36028797018963968 (cos (* 2 x))))

2.0ms

((+ (* (cos (* 2 x)) 3602879701896397/36028797018963968) (+ (* (cos x) 3602879701896397/9007199254740992) 1/2)) (cos (* 2 x)) (* 2 x) (+ (* (cos x) 3602879701896397/9007199254740992) 1/2) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ (* (+ (* 18014398509481985/216172782113783808 (* x x)) -3602879701896397/9007199254740992) (* x x)) 36028797018963969/36028797018963968) (+ (* 18014398509481985/216172782113783808 (* x x)) -3602879701896397/9007199254740992) (* x x) (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (* 3602879701896397/9007199254740992 (cos x)) (cos x) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (+ (* (+ (* 3602879701896397/216172782113783808 (* x x)) -3602879701896397/18014398509481984) (* x x)) 8106479329266893/9007199254740992) (+ (* 3602879701896397/216172782113783808 (* x x)) -3602879701896397/18014398509481984) (* 3602879701896397/36028797018963968 (cos (* 2 x))) (* 3602879701896397/36028797018963968 (cos (* 2 x))))

2.0ms

-inf

((+ (* (cos (* 2 x)) 3602879701896397/36028797018963968) (+ (* (cos x) 3602879701896397/9007199254740992) 1/2)) (cos (* 2 x)) (* 2 x) (+ (* (cos x) 3602879701896397/9007199254740992) 1/2) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ (* (+ (* 18014398509481985/216172782113783808 (* x x)) -3602879701896397/9007199254740992) (* x x)) 36028797018963969/36028797018963968) (+ (* 18014398509481985/216172782113783808 (* x x)) -3602879701896397/9007199254740992) (* x x) (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (* 3602879701896397/9007199254740992 (cos x)) (cos x) (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (+ (* (+ (* 3602879701896397/216172782113783808 (* x x)) -3602879701896397/18014398509481984) (* x x)) 8106479329266893/9007199254740992) (+ (* 3602879701896397/216172782113783808 (* x x)) -3602879701896397/18014398509481984) (* 3602879701896397/36028797018963968 (cos (* 2 x))) (* 3602879701896397/36028797018963968 (cos (* 2 x))))

simplify125.0ms (3%)

Memory

30.9MiB live, 30.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	378
1	249	378
2	606	378
3	1405	378
4	3206	378
5	7267	378
0	8451	329

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 45

Calls

Call 1

Inputs
36028797018963969/36028797018963968
(+ 36028797018963969/36028797018963968 (* -3602879701896397/9007199254740992 (pow x 2)))
(+ 36028797018963969/36028797018963968 (* (pow x 2) (- (* 18014398509481985/216172782113783808 (pow x 2)) 3602879701896397/9007199254740992)))
(+ 36028797018963969/36028797018963968 (* (pow x 2) (- (* (pow x 2) (+ 18014398509481985/216172782113783808 (* -61248954932238749/6485183463413514240 (pow x 2)))) 3602879701896397/9007199254740992)))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
8106479329266893/9007199254740992
(+ 8106479329266893/9007199254740992 (* -3602879701896397/18014398509481984 (pow x 2)))
(+ 8106479329266893/9007199254740992 (* (pow x 2) (- (* 3602879701896397/216172782113783808 (pow x 2)) 3602879701896397/18014398509481984)))
(+ 8106479329266893/9007199254740992 (* (pow x 2) (- (* (pow x 2) (+ 3602879701896397/216172782113783808 (* -3602879701896397/6485183463413514240 (pow x 2)))) 3602879701896397/18014398509481984)))
-3602879701896397/9007199254740992
(- (* 18014398509481985/216172782113783808 (pow x 2)) 3602879701896397/9007199254740992)
(pow x 2)
3602879701896397/9007199254740992
(+ 3602879701896397/9007199254740992 (* -3602879701896397/18014398509481984 (pow x 2)))
(+ 3602879701896397/9007199254740992 (* (pow x 2) (- (* 3602879701896397/216172782113783808 (pow x 2)) 3602879701896397/18014398509481984)))
(+ 3602879701896397/9007199254740992 (* (pow x 2) (- (* (pow x 2) (+ 3602879701896397/216172782113783808 (* -3602879701896397/6485183463413514240 (pow x 2)))) 3602879701896397/18014398509481984)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
-3602879701896397/18014398509481984
(- (* 3602879701896397/216172782113783808 (pow x 2)) 3602879701896397/18014398509481984)
3602879701896397/36028797018963968
(+ 3602879701896397/36028797018963968 (* -3602879701896397/18014398509481984 (pow x 2)))
(+ 3602879701896397/36028797018963968 (* (pow x 2) (- (* 3602879701896397/54043195528445952 (pow x 2)) 3602879701896397/18014398509481984)))
(+ 3602879701896397/36028797018963968 (* (pow x 2) (- (* (pow x 2) (+ 3602879701896397/54043195528445952 (* -3602879701896397/405323966463344640 (pow x 2)))) 3602879701896397/18014398509481984)))
(+ 1/2 (+ (* 3602879701896397/36028797018963968 (cos (* 2 x))) (* 3602879701896397/9007199254740992 (cos x))))
(cos (* 2 x))
(+ 1/2 (* 3602879701896397/9007199254740992 (cos x)))
(* 18014398509481985/216172782113783808 (pow x 4))
(* (pow x 4) (- 18014398509481985/216172782113783808 (* 3602879701896397/9007199254740992 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 18014398509481985/216172782113783808 (/ 36028797018963969/36028797018963968 (pow x 4))) (* 3602879701896397/9007199254740992 (/ 1 (pow x 2)))))
(* 18014398509481985/216172782113783808 (pow x 2))
(* (pow x 2) (- 18014398509481985/216172782113783808 (* 3602879701896397/9007199254740992 (/ 1 (pow x 2)))))
(* 3602879701896397/9007199254740992 (cos x))
(cos x)
(* 3602879701896397/216172782113783808 (pow x 4))
(* (pow x 4) (- 3602879701896397/216172782113783808 (* 3602879701896397/18014398509481984 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3602879701896397/216172782113783808 (/ 8106479329266893/9007199254740992 (pow x 4))) (* 3602879701896397/18014398509481984 (/ 1 (pow x 2)))))
(* 3602879701896397/216172782113783808 (pow x 2))
(* (pow x 2) (- 3602879701896397/216172782113783808 (* 3602879701896397/18014398509481984 (/ 1 (pow x 2)))))
(* 3602879701896397/36028797018963968 (cos (* 2 x)))

Outputs
36028797018963969/36028797018963968
#s(literal 36028797018963969/36028797018963968 binary64)
(+ 36028797018963969/36028797018963968 (* -3602879701896397/9007199254740992 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64) #s(literal 36028797018963969/36028797018963968 binary64))
(+ 36028797018963969/36028797018963968 (* (pow x 2) (- (* 18014398509481985/216172782113783808 (pow x 2)) 3602879701896397/9007199254740992)))
(fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64))
(+ 36028797018963969/36028797018963968 (* (pow x 2) (- (* (pow x 2) (+ 18014398509481985/216172782113783808 (* -61248954932238749/6485183463413514240 (pow x 2)))) 3602879701896397/9007199254740992)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61248954932238749/6485183463413514240 binary64) (.f64 x x) #s(literal 18014398509481985/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (*.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
8106479329266893/9007199254740992
#s(literal 8106479329266893/9007199254740992 binary64)
(+ 8106479329266893/9007199254740992 (* -3602879701896397/18014398509481984 (pow x 2)))
(fma.f64 #s(literal -3602879701896397/18014398509481984 binary64) (*.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))
(+ 8106479329266893/9007199254740992 (* (pow x 2) (- (* 3602879701896397/216172782113783808 (pow x 2)) 3602879701896397/18014398509481984)))
(fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))
(+ 8106479329266893/9007199254740992 (* (pow x 2) (- (* (pow x 2) (+ 3602879701896397/216172782113783808 (* -3602879701896397/6485183463413514240 (pow x 2)))) 3602879701896397/18014398509481984)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -3602879701896397/6485183463413514240 binary64) (.f64 x x) #s(literal 3602879701896397/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))
-3602879701896397/9007199254740992
#s(literal -3602879701896397/9007199254740992 binary64)
(- (* 18014398509481985/216172782113783808 (pow x 2)) 3602879701896397/9007199254740992)
(fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64))
(pow x 2)
(*.f64 x x)
3602879701896397/9007199254740992
#s(literal 3602879701896397/9007199254740992 binary64)
(+ 3602879701896397/9007199254740992 (* -3602879701896397/18014398509481984 (pow x 2)))
(fma.f64 #s(literal -3602879701896397/18014398509481984 binary64) (*.f64 x x) #s(literal 3602879701896397/9007199254740992 binary64))
(+ 3602879701896397/9007199254740992 (* (pow x 2) (- (* 3602879701896397/216172782113783808 (pow x 2)) 3602879701896397/18014398509481984)))
(fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 3602879701896397/9007199254740992 binary64))
(+ 3602879701896397/9007199254740992 (* (pow x 2) (- (* (pow x 2) (+ 3602879701896397/216172782113783808 (* -3602879701896397/6485183463413514240 (pow x 2)))) 3602879701896397/18014398509481984)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -3602879701896397/6485183463413514240 binary64) (.f64 x x) #s(literal 3602879701896397/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x x) #s(literal 3602879701896397/9007199254740992 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
-3602879701896397/18014398509481984
#s(literal -3602879701896397/18014398509481984 binary64)
(- (* 3602879701896397/216172782113783808 (pow x 2)) 3602879701896397/18014398509481984)
(fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64))
3602879701896397/36028797018963968
#s(literal 3602879701896397/36028797018963968 binary64)
(+ 3602879701896397/36028797018963968 (* -3602879701896397/18014398509481984 (pow x 2)))
(fma.f64 #s(literal -3602879701896397/18014398509481984 binary64) (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))
(+ 3602879701896397/36028797018963968 (* (pow x 2) (- (* 3602879701896397/54043195528445952 (pow x 2)) 3602879701896397/18014398509481984)))
(fma.f64 (fma.f64 #s(literal 3602879701896397/54043195528445952 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))
(+ 3602879701896397/36028797018963968 (* (pow x 2) (- (* (pow x 2) (+ 3602879701896397/54043195528445952 (* -3602879701896397/405323966463344640 (pow x 2)))) 3602879701896397/18014398509481984)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -3602879701896397/405323966463344640 binary64) (.f64 x x) #s(literal 3602879701896397/54043195528445952 binary64)) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))
(+ 1/2 (+ (* 3602879701896397/36028797018963968 (cos (* 2 x))) (* 3602879701896397/9007199254740992 (cos x))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(+ 1/2 (* 3602879701896397/9007199254740992 (cos x)))
(fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64))
(* 18014398509481985/216172782113783808 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 18014398509481985/216172782113783808 binary64))
(* (pow x 4) (- 18014398509481985/216172782113783808 (* 3602879701896397/9007199254740992 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) x) x)
(* (pow x 4) (- (+ 18014398509481985/216172782113783808 (/ 36028797018963969/36028797018963968 (pow x 4))) (* 3602879701896397/9007199254740992 (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64))
(* 18014398509481985/216172782113783808 (pow x 2))
(.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x))
(* (pow x 2) (- 18014398509481985/216172782113783808 (* 3602879701896397/9007199254740992 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64))
(* 3602879701896397/9007199254740992 (cos x))
(*.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64))
(cos x)
(cos.f64 x)
(* 3602879701896397/216172782113783808 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3602879701896397/216172782113783808 binary64))
(* (pow x 4) (- 3602879701896397/216172782113783808 (* 3602879701896397/18014398509481984 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) x) x)
(* (pow x 4) (- (+ 3602879701896397/216172782113783808 (/ 8106479329266893/9007199254740992 (pow x 4))) (* 3602879701896397/18014398509481984 (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))
(* 3602879701896397/216172782113783808 (pow x 2))
(.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x))
(* (pow x 2) (- 3602879701896397/216172782113783808 (* 3602879701896397/18014398509481984 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64))
(* 3602879701896397/36028797018963968 (cos (* 2 x)))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64))

rewrite246.0ms (6%)

Memory

-14.2MiB live, 61.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	184
0	60	176
1	238	176
2	1647	176
0	8846	175

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

19 → 351

Calls

Call 1

Inputs
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
(fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64))
(fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64))
(*.f64 x x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64)))
(*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))
(cos.f64 x)
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
#s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64)))
(fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))
(fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64))
#s(approx (* 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64))
(.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))

Outputs
(*.f64 (fma.f64 #s(literal 12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) (neg.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 46768052394588901170963202449162931770298562773/46768052394588893382517914646921056628989841375232 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)))) (*.f64 #s(literal 12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 46768052394588901170963202449162931770298562773/46768052394588893382517914646921056628989841375232 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) (neg.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) (pow.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) (neg.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (pow.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal 12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 46768052394588901170963202449162931770298562773/46768052394588893382517914646921056628989841375232 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) (neg.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) (pow.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 46768052394588901170963202449162931770298562773/46768052394588893382517914646921056628989841375232 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64))) (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) (neg.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) (neg.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64))) (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) (neg.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal 12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64))) (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) (neg.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64))))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) (neg.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) (neg.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64))))) (.f64 (/.f64 (*.f64 #s(literal 12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64))) (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) (neg.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) (neg.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (pow.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (/.f64 (.f64 #s(literal 12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (.f64 #s(literal 12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x))))) (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (.f64 #s(literal 12980742146337070512478121581609/1298074214633706907132624082305024 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 12980742146337070512478121581609/81129638414606681695789005144064 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))))))
(/.f64 (fma.f64 #s(literal 46768052394588901170963202449162931770298562773/730750818665451459101842416358141509827966271488 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3 binary64))) (fma.f64 #s(literal 12980742146337070512478121581609/81129638414606681695789005144064 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x))))) (.f64 (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x))))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(literal 1/2 binary64))))))
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(/.f64 (-.f64 (.f64 (.f64 #s(literal 12980742146337070512478121581609/46730671726813448656774466962980864 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal 3602879701896397/18014398509481984 binary64))) (.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 12980742146337070512478121581609/324518553658426726783156020576256 binary64))) (.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal 3602879701896397/18014398509481984 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 #s(literal 12980742146337070512478121581609/46730671726813448656774466962980864 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -12980742146337070512478121581609/324518553658426726783156020576256 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 12980742146337070512478121581609/46730671726813448656774466962980864 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 12980742146337070512478121581609/324518553658426726783156020576256 binary64) (.f64 (.f64 x x) #s(literal -12980742146337070512478121581609/3894222643901120721397872246915072 binary64)))) (fma.f64 #s(literal 46768052394588901170963202449162931770298562773/10101899317231200970623869563734948231861805737050112 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46768052394588901170963202449162931770298562773/5846006549323611672814739330865132078623730171904 binary64)))))
(/.f64 (-.f64 #s(literal 12980742146337070512478121581609/324518553658426726783156020576256 binary64) (.f64 #s(literal 12980742146337070512478121581609/46730671726813448656774466962980864 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -3602879701896397/18014398509481984 binary64) (.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 12980742146337070512478121581609/46730671726813448656774466962980864 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -12980742146337070512478121581609/324518553658426726783156020576256 binary64))) (neg.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x) #s(literal 3602879701896397/18014398509481984 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 46768052394588901170963202449162931770298562773/10101899317231200970623869563734948231861805737050112 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46768052394588901170963202449162931770298562773/5846006549323611672814739330865132078623730171904 binary64))) (neg.f64 (+.f64 #s(literal 12980742146337070512478121581609/324518553658426726783156020576256 binary64) (-.f64 (.f64 #s(literal 12980742146337070512478121581609/46730671726813448656774466962980864 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -12980742146337070512478121581609/3894222643901120721397872246915072 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 46768052394588901170963202449162931770298562773/10101899317231200970623869563734948231861805737050112 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46768052394588901170963202449162931770298562773/5846006549323611672814739330865132078623730171904 binary64))) (neg.f64 (fma.f64 #s(literal 12980742146337070512478121581609/46730671726813448656774466962980864 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 12980742146337070512478121581609/324518553658426726783156020576256 binary64) (.f64 (.f64 x x) #s(literal -12980742146337070512478121581609/3894222643901120721397872246915072 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 #s(literal 12980742146337070512478121581609/46730671726813448656774466962980864 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -12980742146337070512478121581609/324518553658426726783156020576256 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 12980742146337070512478121581609/46730671726813448656774466962980864 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 12980742146337070512478121581609/324518553658426726783156020576256 binary64) (.f64 (.f64 x x) #s(literal -12980742146337070512478121581609/3894222643901120721397872246915072 binary64)))) (fma.f64 #s(literal 46768052394588901170963202449162931770298562773/10101899317231200970623869563734948231861805737050112 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46768052394588901170963202449162931770298562773/5846006549323611672814739330865132078623730171904 binary64))))
(/.f64 (fma.f64 #s(literal 12980742146337070512478121581609/46730671726813448656774466962980864 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -12980742146337070512478121581609/324518553658426726783156020576256 binary64)) (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x) #s(literal 3602879701896397/18014398509481984 binary64)))
(/.f64 (fma.f64 #s(literal 46768052394588901170963202449162931770298562773/10101899317231200970623869563734948231861805737050112 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46768052394588901170963202449162931770298562773/5846006549323611672814739330865132078623730171904 binary64)) (+.f64 #s(literal 12980742146337070512478121581609/324518553658426726783156020576256 binary64) (-.f64 (.f64 #s(literal 12980742146337070512478121581609/46730671726813448656774466962980864 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -12980742146337070512478121581609/3894222643901120721397872246915072 binary64)))))
(/.f64 (fma.f64 #s(literal 46768052394588901170963202449162931770298562773/10101899317231200970623869563734948231861805737050112 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46768052394588901170963202449162931770298562773/5846006549323611672814739330865132078623730171904 binary64)) (fma.f64 #s(literal 12980742146337070512478121581609/46730671726813448656774466962980864 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 12980742146337070512478121581609/324518553658426726783156020576256 binary64) (.f64 (.f64 x x) #s(literal -12980742146337070512478121581609/3894222643901120721397872246915072 binary64)))))
(fma.f64 (*.f64 #s(literal 3602879701896397/216172782113783808 binary64) x) x #s(literal -3602879701896397/18014398509481984 binary64))
(fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64))
(fma.f64 (*.f64 x x) #s(literal 3602879701896397/216172782113783808 binary64) #s(literal -3602879701896397/18014398509481984 binary64))
(fma.f64 x (*.f64 #s(literal 3602879701896397/216172782113783808 binary64) x) #s(literal -3602879701896397/18014398509481984 binary64))
(-.f64 (/.f64 #s(literal 12980742146337070512478121581609/324518553658426726783156020576256 binary64) (-.f64 #s(literal -3602879701896397/18014398509481984 binary64) (.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 12980742146337070512478121581609/46730671726813448656774466962980864 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -3602879701896397/18014398509481984 binary64) (.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 12980742146337070512478121581609/46730671726813448656774466962980864 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal 3602879701896397/18014398509481984 binary64))) (/.f64 #s(literal 12980742146337070512478121581609/324518553658426726783156020576256 binary64) (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x) #s(literal 3602879701896397/18014398509481984 binary64))))
(+.f64 (.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x)) #s(literal -3602879701896397/18014398509481984 binary64))
(+.f64 #s(literal -3602879701896397/18014398509481984 binary64) (.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x)))
#s(approx (* 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64))
(*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (+.f64 x x)))
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 3602879701896397/36028797018963968 binary64))

eval57.0ms (1.4%)

Memory: -33.5MiB live, 42.7MiB allocated
Compiler: Compiled 15 506 to 1 454 computations (90.6% saved)

prune13.0ms (0.3%)

Memory

19.1MiB live, 19.1MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	401	6	407
Fresh	2	3	5
Picked	4	1	5
Done	0	0	0
Total	407	10	417

Accuracy

100.0%

Counts

417 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))
	99.0%	(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (+ ( (cos x) 3602879701896397/9007199254740992) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -3602879701896397/6485183463413514240 binary64) (.f64 x x) #s(literal 3602879701896397/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))))
	98.1%	(fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) (+.f64 #s(literal 1/2 binary64) #s(approx (* 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64))))
	99.0%	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/54043195528445952 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))))
	99.0%	(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (cos ( 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
	99.0%	(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (cos ( 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
	98.9%	#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61248954932238749/6485183463413514240 binary64) (.f64 x x) #s(literal 18014398509481985/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (*.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
	99.0%	#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 (.f64 #s(literal 18014398509481985/216172782113783808 binary64) x) x #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
	98.5%	#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64) #s(literal 36028797018963969/36028797018963968 binary64)))
✓	98.1%	#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))

Compiler

Compiled 645 to 279 computations (56.7% saved)

regimes7.0ms (0.2%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 (.f64 #s(literal 18014398509481985/216172782113783808 binary64) x) x #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61248954932238749/6485183463413514240 binary64) (.f64 x x) #s(literal 18014398509481985/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (*.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (cos ( 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (cos ( 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) (+.f64 #s(literal 1/2 binary64) #s(approx (* 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/54043195528445952 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -3602879701896397/405323966463344640 binary64) (.f64 x x) #s(literal 3602879701896397/54043195528445952 binary64)) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (+ ( (cos x) 3602879701896397/9007199254740992) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -3602879701896397/6485183463413514240 binary64) (.f64 x x) #s(literal 3602879701896397/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -3602879701896397/6485183463413514240 binary64) (.f64 x x) #s(literal 3602879701896397/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))

Outputs

(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))

Calls

2 calls:

4.0ms

3.0ms

(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes7.0ms (0.2%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 (.f64 #s(literal 18014398509481985/216172782113783808 binary64) x) x #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61248954932238749/6485183463413514240 binary64) (.f64 x x) #s(literal 18014398509481985/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (*.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (cos ( 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (cos ( 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) (+.f64 #s(literal 1/2 binary64) #s(approx (* 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/54043195528445952 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -3602879701896397/405323966463344640 binary64) (.f64 x x) #s(literal 3602879701896397/54043195528445952 binary64)) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (+ ( (cos x) 3602879701896397/9007199254740992) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -3602879701896397/6485183463413514240 binary64) (.f64 x x) #s(literal 3602879701896397/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -3602879701896397/6485183463413514240 binary64) (.f64 x x) #s(literal 3602879701896397/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))

Outputs
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))

Calls

2 calls:

3.0ms

(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes7.0ms (0.2%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 (.f64 #s(literal 18014398509481985/216172782113783808 binary64) x) x #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61248954932238749/6485183463413514240 binary64) (.f64 x x) #s(literal 18014398509481985/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (*.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (cos ( 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (cos ( 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) (+.f64 #s(literal 1/2 binary64) #s(approx (* 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/54043195528445952 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -3602879701896397/405323966463344640 binary64) (.f64 x x) #s(literal 3602879701896397/54043195528445952 binary64)) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (+ ( (cos x) 3602879701896397/9007199254740992) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -3602879701896397/6485183463413514240 binary64) (.f64 x x) #s(literal 3602879701896397/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -3602879701896397/6485183463413514240 binary64) (.f64 x x) #s(literal 3602879701896397/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))

Outputs

(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))

Calls

2 calls:

3.0ms

(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes5.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 (.f64 #s(literal 18014398509481985/216172782113783808 binary64) x) x #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61248954932238749/6485183463413514240 binary64) (.f64 x x) #s(literal 18014398509481985/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (*.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (cos ( 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (cos ( 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) (+.f64 #s(literal 1/2 binary64) #s(approx (* 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/54043195528445952 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))))

Outputs

(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx (* 3602879701896397/36028797018963968 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/54043195528445952 binary64) (*.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))))

Calls

2 calls:

2.0ms

(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes5.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 (.f64 #s(literal 18014398509481985/216172782113783808 binary64) x) x #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61248954932238749/6485183463413514240 binary64) (.f64 x x) #s(literal 18014398509481985/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (*.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (cos ( 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (cos ( 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) (+.f64 #s(literal 1/2 binary64) #s(approx (* 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) #s(literal 3602879701896397/36028797018963968 binary64)))

Outputs

(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))

Calls

2 calls:

2.0ms

(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 (.f64 #s(literal 18014398509481985/216172782113783808 binary64) x) x #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61248954932238749/6485183463413514240 binary64) (.f64 x x) #s(literal 18014398509481985/216172782113783808 binary64)) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (*.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))

Outputs

#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (*.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))

Calls

2 calls:

2.0ms

1.0ms

(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))

#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64) #s(literal 36028797018963969/36028797018963968 binary64)))

Outputs

#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64) #s(literal 36028797018963969/36028797018963968 binary64)))

Calls

2 calls:

1.0ms

(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes2.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))

Outputs
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))

Calls

2 calls:

1.0ms

(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (*.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))

1.0ms

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))`

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify12.0ms (0.3%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	171
1	62	171
2	69	171
3	71	171

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/54043195528445952 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (cos ( 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))

Outputs
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 3602879701896397/36028797018963968 binary64) (fma.f64 (cos.f64 x) #s(literal 3602879701896397/9007199254740992 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3602879701896397/9007199254740992 binary64) (cos.f64 x))) #s(approx ( 3602879701896397/36028797018963968 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/54043195528445952 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64))))
(+.f64 #s(approx (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (fma.f64 (fma.f64 #s(literal 3602879701896397/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 x x) #s(literal 8106479329266893/9007199254740992 binary64))) (.f64 #s(literal 3602879701896397/36028797018963968 binary64) #s(approx (cos ( 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 18014398509481985/216172782113783808 binary64) (.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x x) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) (fma.f64 (*.f64 x x) #s(literal -3602879701896397/9007199254740992 binary64) #s(literal 36028797018963969/36028797018963968 binary64)))
#s(approx (+ (+ 1/2 (* 3602879701896397/9007199254740992 (cos x))) (* 3602879701896397/36028797018963968 (cos (* 2 x)))) #s(literal 36028797018963969/36028797018963968 binary64))

soundness948.0ms (22.9%)

Memory

11.1MiB live, 11.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	231
1	163	231
2	365	231
3	800	231
4	1430	231
5	1953	231
6	2308	231
7	3018	231
8	4520	231
9	6889	231
0	8112	198
0	12	31
0	19	31
1	57	31
2	425	31
3	6197	31
0	8024	28
0	115	378
1	249	378
2	606	378
3	1405	378
4	3206	378
5	7267	378
0	8451	329
0	37	184
0	60	176
1	238	176
2	1647	176
0	8846	175

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 333 to 159 computations (52.3% saved)

preprocess197.0ms (4.8%)

Memory: -113.5MiB live, 29.1MiB allocated
Remove: (abs x)
Compiler: Compiled 420 to 186 computations (55.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	29
1	33	26
2	87	26
3	180	26
4	307	26
5	452	26
6	585	26
7	639	26
8	649	26
0	12	13
0	19	13
1	26	13
2	33	13
3	35	13
0	35	11

Iter	Nodes	Cost
0	37	216
0	60	208
1	93	208
2	134	208
3	225	208
4	287	208
5	291	208
6	293	208
0	293	207

Iter	Nodes	Cost
0	14	29
1	33	26
2	87	26
3	180	26
4	307	26
5	452	26
6	585	26
7	639	26
8	649	26
0	12	13
0	19	13
1	26	13
2	33	13
3	35	13
0	35	11

Iter	Nodes	Cost
0	37	216
0	60	208
1	93	208
2	134	208
3	225	208
4	287	208
5	291	208
6	293	208
0	293	207

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (34.2%)

explain220.0ms (5.3%)

preprocess62.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize30.0ms (0.7%)

series3.0ms (0.1%)

simplify316.0ms (7.6%)

rewrite298.0ms (7.2%)

eval25.0ms (0.6%)

prune10.0ms (0.2%)

simplify9.0ms (0.2%)

localize102.0ms (2.5%)

series7.0ms (0.2%)

simplify125.0ms (3%)

rewrite246.0ms (6%)

eval57.0ms (1.4%)

prune13.0ms (0.3%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

simplify12.0ms (0.3%)

soundness948.0ms (22.9%)

preprocess197.0ms (4.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	29
1	33	26
2	87	26
3	180	26
4	307	26
5	452	26
6	585	26
7	639	26
8	649	26
0	12	13
0	19	13
1	26	13
2	33	13
3	35	13
0	35	11

Iter	Nodes	Cost
0	37	216
0	60	208
1	93	208
2	134	208
3	225	208
4	287	208
5	291	208
6	293	208
0	293	207