Metrics for (1/sin(x))-(1/tan(x)) + (1-cos(x))

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	24.2%	75.8%	0%	0%	0%	0
0%	0%	24.2%	75.8%	0%	0%	0%	1
50%	12.1%	12.1%	75.8%	0%	0%	0%	2
75%	18.2%	6.1%	75.8%	0%	0%	0%	3
87.5%	21.2%	3%	75.8%	0%	0%	0%	4
93.8%	22.7%	1.5%	75.8%	0%	0%	0%	5
96.9%	23.5%	0.8%	75.8%	0%	0%	0%	6
98.4%	23.9%	0.4%	75.8%	0%	0%	0%	7
99.2%	24.1%	0.2%	75.8%	0%	0%	0%	8
99.6%	24.2%	0.1%	75.8%	0%	0%	0%	9
99.8%	24.2%	0%	75.8%	0%	0%	0%	10
99.9%	24.2%	0%	75.8%	0%	0%	0%	11
100%	24.2%	0%	75.8%	0%	0%	0%	12

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample14.7s (81.8%)

Memory

234.3MiB live, 2 806.2MiB allocated

Samples

14.2s	8 250×	1	valid
16.0ms	6×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 13.8s

ival-tan: 7.8s (56.3% of total)

ival-sin: 4.1s (29.9% of total)

ival-div: 493.0ms (3.6% of total)

adjust: 492.0ms (3.6% of total)

ival-cos: 422.0ms (3.1% of total)

ival-sub: 215.0ms (1.6% of total)

ival-<=: 124.0ms (0.9% of total)

ival-add: 111.0ms (0.8% of total)

exact: 25.0ms (0.2% of total)

ival-and: 18.0ms (0.1% of total)

ival-assert: 8.0ms (0.1% of total)

Bogosity

explain858.0ms (4.8%)

Memory

17.1MiB live, 91.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
116	-	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
0	-	-	`(/.f64 #s(literal 1 binary64) (sin.f64 x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(tan.f64 x)`
0	-	-	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))`
0	-	-	`(cos.f64 x)`
0	-	-	`(sin.f64 x)`
0	-	-	`x`
0	-	-	`(/.f64 #s(literal 1 binary64) (tan.f64 x))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`	cancellation	255	0
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	19	0
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`	nan-rescue	1	0
↳	`(/.f64 #s(literal 1 binary64) (sin.f64 x))`	overflow	1
↳	`(/.f64 #s(literal 1 binary64) (tan.f64 x))`	overflow	1

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	237
2	19

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

729.0ms	510×	1	valid
6.0ms	2×	3	valid

Compiler

Compiled 104 to 34 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 708.0ms

ival-tan: 422.0ms (59.6% of total)

ival-sin: 215.0ms (30.4% of total)

ival-cos: 20.0ms (2.8% of total)

ival-div: 18.0ms (2.5% of total)

adjust: 17.0ms (2.4% of total)

ival-sub: 10.0ms (1.4% of total)

ival-add: 5.0ms (0.7% of total)

ival-true: 1.0ms (0.1% of total)

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

exact: 0.0ms (0% of total)

preprocess69.0ms (0.4%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	36	33
2	98	28
3	306	28
4	918	28
5	1328	28
6	1386	28
7	1400	28
0	10	14
0	18	14
1	29	14
2	61	14
3	147	14
4	377	14
5	767	14
6	1132	14
7	1372	14
8	1394	14
9	1402	14
10	1404	14
0	1404	14

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))

Outputs

(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))

(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.7%	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify38.0ms (0.2%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sin.f64 x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (sin.f64 x))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
cost-diff	0	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
0	18	43
1	29	43
2	61	43
3	147	43
4	377	43
5	767	43
6	1132	43
7	1372	43
8	1394	43
9	1402	43
10	1404	43
0	1404	43

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
#s(literal 1 binary64)
(sin.f64 x)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)

Outputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
#s(literal 1 binary64)
(sin.f64 x)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)

localize436.0ms (2.4%)

Memory

-98.4MiB live, 27.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 x)
accuracy	0.00390625	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
accuracy	26.776630456970185	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	60.34542538257204	(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Samples

422.0ms	255×	1	valid
3.0ms	1×	3	valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 361.0ms

ival-tan: 209.0ms (57.8% of total)

ival-sin: 109.0ms (30.2% of total)

adjust: 16.0ms (4.4% of total)

ival-cos: 10.0ms (2.8% of total)

ival-div: 9.0ms (2.5% of total)

ival-sub: 5.0ms (1.4% of total)

ival-add: 2.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Counts

6 → 29

Calls

Call 1

Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(sin.f64 x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)

Outputs
(* 1/2 x)
(* x (+ 1/2 (* 1/2 x)))
(* x (+ 1/2 (* x (+ 1/2 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/2 (* x (+ 1/24 (* -1/24 x)))))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ 1 x)
(/ (+ 1 (* 1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
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)))
(- (+ 1 (/ 1 (sin x))) (+ (cos x) (/ (cos x) (sin x))))
(- (/ 1 (sin x)) (/ (cos x) (sin x)))
(/ 1 (sin x))
(sin x)
(- 1 (cos x))
(cos x)

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (- (/ 1 (sin x)) (/ 1 (tan x))) (/ 1 (sin x)) (sin x) (- 1 (cos x)) (cos x))
2.0ms	x	@	inf	((+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (- (/ 1 (sin x)) (/ 1 (tan x))) (/ 1 (sin x)) (sin x) (- 1 (cos x)) (cos x))
2.0ms	x	@	0	((+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (- (/ 1 (sin x)) (/ 1 (tan x))) (/ 1 (sin x)) (sin x) (- 1 (cos x)) (cos x))

Time

Variable

Point

Expression

2.0ms

-inf

((+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (- (/ 1 (sin x)) (/ 1 (tan x))) (/ 1 (sin x)) (sin x) (- 1 (cos x)) (cos x))

2.0ms

inf

((+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (- (/ 1 (sin x)) (/ 1 (tan x))) (/ 1 (sin x)) (sin x) (- 1 (cos x)) (cos x))

2.0ms

((+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (- (/ 1 (sin x)) (/ 1 (tan x))) (/ 1 (sin x)) (sin x) (- 1 (cos x)) (cos x))

simplify197.0ms (1.1%)

Memory

41.4MiB live, 41.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	308
1	337	308
2	838	302
3	2303	302
4	3915	302
5	4383	301
6	5024	297
7	5987	293
8	7735	290
0	8095	254

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/2 x)))
(* x (+ 1/2 (* x (+ 1/2 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/2 (* x (+ 1/24 (* -1/24 x)))))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ 1 x)
(/ (+ 1 (* 1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
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)))
(- (+ 1 (/ 1 (sin x))) (+ (cos x) (/ (cos x) (sin x))))
(- (/ 1 (sin x)) (/ (cos x) (sin x)))
(/ 1 (sin x))
(sin x)
(- 1 (cos x))
(cos x)

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* x (+ 1/2 (* 1/24 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* x (+ 1/2 (* x (+ 1/24 (* -1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/6 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.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)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
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 (.f64 x x) #s(literal 1/24 binary64) #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))
(- (+ 1 (/ 1 (sin x))) (+ (cos x) (/ (cos x) (sin x))))
(-.f64 (-.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (cos.f64 x))
(- (/ 1 (sin x)) (/ (cos x) (sin x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(sin x)
(sin.f64 x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)

rewrite200.0ms (1.1%)

Memory

-19.7MiB live, 64.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
0	18	35
1	86	35
2	988	35
0	8352	34

Stop Event

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

Counts

6 → 462

Calls

Call 1

Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(sin.f64 x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)

Outputs
(*.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (+.f64 (expm1.f64 (neg.f64 (log.f64 (tan.f64 x)))) (cos.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (+.f64 (expm1.f64 (neg.f64 (log.f64 (tan.f64 x)))) (cos.f64 x)))))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))))))
(.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x))))))
(.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (pow.f64 (+.f64 (expm1.f64 (neg.f64 (log.f64 (tan.f64 x)))) (cos.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (+.f64 (pow.f64 (+.f64 (expm1.f64 (neg.f64 (log.f64 (tan.f64 x)))) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (+.f64 (expm1.f64 (neg.f64 (log.f64 (tan.f64 x)))) (cos.f64 x)))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))) (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))))
(.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x))))))
(.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x))))))
(.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (sin.f64 x) (tan.f64 x)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (-.f64 (tan.f64 x) (sin.f64 x)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (tan.f64 x)))))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x))))))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x))))))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (sin.f64 x) (tan.f64 x)) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (tan.f64 x) (sin.f64 x)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (tan.f64 x)))))
(.f64 (fma.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(.f64 (fma.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(.f64 (fma.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(.f64 (fma.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))))))))
(*.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))) (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (pow.f64 (tan.f64 x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))))))
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(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (-.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))))
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(-.f64 (/.f64 (tan.f64 x) (.f64 (sin.f64 x) (tan.f64 x))) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (tan.f64 x))))
(-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x))))))
(+.f64 (/.f64 (tan.f64 x) (.f64 (sin.f64 x) (tan.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (tan.f64 x)))))
(+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(+.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (sin.f64 x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sin.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(exp.f64 (neg.f64 (log.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) #s(literal 1 binary64))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(sin.f64 x)
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) #s(literal -1 binary64)))
(exp.f64 (log.f64 (sin.f64 x)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))
(-.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)

eval57.0ms (0.3%)

Memory: -34.8MiB live, 40.2MiB allocated
Compiler: Compiled 18 426 to 1 698 computations (90.8% saved)

prune6.0ms (0%)

Memory

17.5MiB live, 17.5MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	488	2	490
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	489	2	491

Accuracy

100.0%

Counts

491 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x))
▶	99.5%	#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 #s(literal 1/2 binary64) x))

Status

Accuracy

Program

▶

100.0%

#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x))

▶

99.5%

#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify42.0ms (0.2%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 #s(literal 1/2 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	56
0	19	56
1	33	56
2	73	56
3	166	56
4	413	56
5	812	56
6	1190	56
7	1429	56
8	1451	56
9	1459	56
10	1461	56
0	1461	56

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x

Outputs
#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x

localize382.0ms (2.1%)

Memory

20.6MiB live, 20.6MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x))
accuracy	0.00390625	(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.3087070414410512	#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 #s(literal 1/2 binary64) x))

Samples

368.0ms	255×	1	valid
3.0ms	1×	2	valid

Compiler

Compiled 49 to 16 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 357.0ms

ival-tan: 209.0ms (58.5% of total)

ival-sin: 108.0ms (30.2% of total)

adjust: 10.0ms (2.8% of total)

ival-div: 9.0ms (2.5% of total)

ival-cos: 9.0ms (2.5% of total)

ival-sub: 5.0ms (1.4% of total)

ival-add: 4.0ms (1.1% of total)

ival-mult: 3.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Counts

5 → 10

Calls

Call 1

Inputs
#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))

Outputs
(* 1/2 x)
(* x (+ 1/2 (* 1/2 x)))
(* x (+ 1/2 (* x (+ 1/2 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/2 (* x (+ 1/24 (* -1/24 x)))))))
1/2
(+ 1/2 (* 1/2 x))
(- (+ 1 (/ 1 (sin x))) (+ (cos x) (/ (cos x) (sin x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x))))
(* x (+ 1/2 (* 1/2 (/ 1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (* 1/2 x) (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (* (+ (* 1/2 x) 1/2) x) (+ (* 1/2 x) 1/2))
1.0ms	x	@	inf	((+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (* 1/2 x) (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (* (+ (* 1/2 x) 1/2) x) (+ (* 1/2 x) 1/2))
1.0ms	x	@	0	((+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (* 1/2 x) (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (* (+ (* 1/2 x) 1/2) x) (+ (* 1/2 x) 1/2))

Time

Variable

Point

Expression

1.0ms

-inf

((+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (* 1/2 x) (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (* (+ (* 1/2 x) 1/2) x) (+ (* 1/2 x) 1/2))

1.0ms

inf

((+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (* 1/2 x) (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (* (+ (* 1/2 x) 1/2) x) (+ (* 1/2 x) 1/2))

1.0ms

((+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (* 1/2 x) (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (* (+ (* 1/2 x) 1/2) x) (+ (* 1/2 x) 1/2))

simplify210.0ms (1.2%)

Memory

-46.2MiB live, 31.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	74
1	108	74
2	234	74
3	445	74
4	820	74
5	2062	74
6	3889	73
7	4821	70
8	5253	70
9	5622	70
10	6088	70
11	6684	70
12	7897	70
0	8023	61

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/2 x)))
(* x (+ 1/2 (* x (+ 1/2 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/2 (* x (+ 1/24 (* -1/24 x)))))))
1/2
(+ 1/2 (* 1/2 x))
(- (+ 1 (/ 1 (sin x))) (+ (cos x) (/ (cos x) (sin x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x))))
(* x (+ 1/2 (* 1/2 (/ 1 x))))

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* x (+ 1/2 (* 1/24 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* x (+ 1/2 (* x (+ 1/24 (* -1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))
(- (+ 1 (/ 1 (sin x))) (+ (cos x) (/ (cos x) (sin x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))

rewrite139.0ms (0.8%)

Memory

43.8MiB live, 43.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	52
0	19	52
1	104	52
2	1128	52
0	8441	50

Stop Event

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

Counts

5 → 58

Calls

Call 1

Inputs
#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))

Outputs
#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (.f64 x (.f64 #s(literal 1/2 binary64) x)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal 1/2 binary64) x) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (.f64 x (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/4 binary64)) x #s(literal -1/4 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) x)) (neg.f64 (fma.f64 (.f64 x #s(literal 1/4 binary64)) x (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x #s(literal 1/4 binary64)) x #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 x #s(literal 1/4 binary64)) x (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/4 binary64)) x #s(literal -1/4 binary64)) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) x) (fma.f64 (.f64 x #s(literal 1/4 binary64)) x (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(/.f64 (.f64 x (fma.f64 (.f64 x #s(literal 1/4 binary64)) x #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (fma.f64 (.f64 x #s(literal 1/4 binary64)) x (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 x #s(literal 1/4 binary64)) x #s(literal -1/4 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x #s(literal 1/4 binary64)) x (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/4 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)) (.f64 x (fma.f64 (.f64 x #s(literal 1/4 binary64)) x #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x #s(literal 1/4 binary64)) x (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/4 binary64)))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal 1/2 binary64) x)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 x #s(literal 1/4 binary64)) x #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (.f64 x #s(literal 1/4 binary64)) x (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64))) (.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) x #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x #s(literal 1/4 binary64)) x (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) x #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 x #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 x #s(literal 1/4 binary64)) x (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) x #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 x #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) x (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 x #s(literal 1/4 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))

eval8.0ms (0%)

Memory: 6.2MiB live, 6.2MiB allocated
Compiler: Compiled 1 980 to 265 computations (86.6% saved)

prune4.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	64	3	67

Accuracy

100.0%

Counts

67 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

100.0%

#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 #s(literal 1/2 binary64) x)))

✓

100.0%

#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x))

✓

99.5%

#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 138 to 68 computations (50.7% saved)

regimes3.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1/2 binary64) x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))

Outputs
#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1/2 binary64) x)))

Calls

2 calls:

2.0ms	x
1.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 #s(literal 1/2 binary64) x))

#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x))

Outputs
#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x))

Calls

2 calls:

1.0ms	x
1.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 #s(literal 1/2 binary64) x))

Outputs
#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 #s(literal 1/2 binary64) x))

Calls

2 calls:

1.0ms	x
1.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify186.0ms (1%)

Memory

-186.3MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	62
1	29	62
2	61	62
3	149	62
4	431	62
5	1014	62
6	1646	62
7	4253	62
8	6522	62

Stop Event

1×	node limit

Calls

Call 1

Inputs

#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 #s(literal 1/2 binary64) x)))

#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x))

#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 #s(literal 1/2 binary64) x))

Outputs

#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 #s(literal 1/2 binary64) x)))

#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x))

#s(approx (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (*.f64 #s(literal 1/2 binary64) x))

soundness411.0ms (2.3%)

Memory

1.6MiB live, 1.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	308
1	337	308
2	838	302
3	2303	302
4	3915	302
5	4383	301
6	5024	297
7	5987	293
8	7735	290
0	8095	254
0	16	52
0	19	52
1	104	52
2	1128	52
0	8441	50

Stop Event

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

Compiler

Compiled 98 to 43 computations (56.1% saved)

preprocess23.0ms (0.1%)

Memory: 16.5MiB live, 16.5MiB allocated
Compiler: Compiled 152 to 56 computations (63.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample14.7s (81.8%)

explain858.0ms (4.8%)

preprocess69.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify38.0ms (0.2%)

localize436.0ms (2.4%)

series6.0ms (0%)

simplify197.0ms (1.1%)

rewrite200.0ms (1.1%)

eval57.0ms (0.3%)

prune6.0ms (0%)

simplify42.0ms (0.2%)

localize382.0ms (2.1%)

series4.0ms (0%)

simplify210.0ms (1.2%)

rewrite139.0ms (0.8%)

eval8.0ms (0%)

prune4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify186.0ms (1%)

soundness411.0ms (2.3%)

preprocess23.0ms (0.1%)

end0.0ms (0%)

Profiling