Metrics for (1 / 2) * (1 + (x - 0.5) / 0.5 + (1 / PI) * sin((x

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 32 to 19 computations (40.6% saved)

sample12.9s (66.2%)

Memory

201.4MiB live, 3 651.1MiB allocated

Samples

8.8s	6 493×	1	valid
2.9s	1 572×	2	valid
133.0ms	191×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 11.3s

ival-sinu: 8.3s (73.6% of total)

ival-mult: 649.0ms (5.7% of total)

ival-div: 560.0ms (4.9% of total)

adjust: 529.0ms (4.7% of total)

ival-add: 480.0ms (4.2% of total)

ival-sub: 338.0ms (3% of total)

ival-pi: 278.0ms (2.5% of total)

ival-<=: 111.0ms (1% of total)

exact: 23.0ms (0.2% of total)

ival-and: 15.0ms (0.1% of total)

ival-assert: 5.0ms (0% of total)

Bogosity

explain1.1s (5.7%)

Memory

74.6MiB live, 363.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
254	-	1	(0.007680511354442311)	`(sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))`
253	-	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))`
93	-	0	-	`(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))`
0	-	0	-	`(/.f64 #s(literal 1 binary64) (PI.f64))`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))`
0	-	0	-	`(*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(-.f64 x #s(literal 1/2 binary64))`
0	-	0	-	`#s(literal 1/2 binary64)`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))`
0	-	0	-	`(PI.f64)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))`	cancellation	253	0
`+.f64`	`(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))`	cancellation	253	1
`+.f64`	`(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))`	cancellation	93	0

Confusion

	Predicted +	Predicted -
+	255	0
-	0	1

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	255	0	0
-	0	0	1

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	1
1	2
2	162
3	91

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

750.0ms	418×	1	valid
110.0ms	82×	2	valid
2.0ms	12×	0	valid

Compiler

Compiled 222 to 49 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 822.0ms

ival-sinu: 736.0ms (89.6% of total)

ival-mult: 24.0ms (2.9% of total)

ival-div: 20.0ms (2.4% of total)

adjust: 17.0ms (2.1% of total)

ival-add: 10.0ms (1.2% of total)

ival-sub: 6.0ms (0.7% of total)

ival-pi: 6.0ms (0.7% of total)

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

exact: 1.0ms (0.1% of total)

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

preprocess190.0ms (1%)

Memory

41.3MiB live, 41.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	48
1	50	40
2	168	32
3	546	30
4	1391	28
5	4039	28
6	6442	26
0	15	22
0	28	22
1	53	18
2	105	16
3	228	16
4	517	16
5	1516	14
6	3155	14
7	4688	14
0	8329	12

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

(fma.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (PI.f64))) x)

Compiler

Compiled 24 to 15 computations (37.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))

Status

Accuracy

Program

▶

4.2%

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

Compiler

Compiled 24 to 15 computations (37.5% saved)

simplify191.0ms (1%)

Memory

-35.4MiB live, 37.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	2	(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	2	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
cost-diff	3	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	93
0	28	93
1	53	81
2	105	75
3	228	75
4	517	75
5	1516	73
6	3155	73
7	4688	73
0	8329	65

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (PI.f64))) x)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))
(fma.f64 x #s(literal 2 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (PI.f64))) (PI.f64)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (PI.f64))) (PI.f64))
(/.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))
(sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (PI.f64)))
(*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))
(*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))

localize274.0ms (1.4%)

Memory

35.1MiB live, 35.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.42578125	(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))
accuracy	20.554050507423067	(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))
accuracy	58.2685286842327	(sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))
accuracy	58.351741683757716	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))

Samples

204.0ms	209×	1	valid
53.0ms	41×	2	valid
1.0ms	6×	0	valid

Compiler

Compiled 99 to 17 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 240.0ms

ival-sinu: 200.0ms (83.4% of total)

ival-mult: 12.0ms (5% of total)

ival-div: 9.0ms (3.8% of total)

adjust: 8.0ms (3.3% of total)

ival-add: 5.0ms (2.1% of total)

ival-sub: 3.0ms (1.3% of total)

ival-pi: 2.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

6 → 25

Calls

Call 1

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

Outputs
(* 2 x)
(* 1/2 (/ (sin (* -1 (PI))) (PI)))
(+ (* 1/2 (* x (+ 2 (* 2 (cos (* -1 (PI))))))) (* 1/2 (/ (sin (* -1 (PI))) (PI))))
(+ (* 1/2 (/ (sin (* -1 (PI))) (PI))) (* x (+ (* -1 (* x (* (PI) (sin (* -1 (PI)))))) (* 1/2 (+ 2 (* 2 (cos (* -1 (PI)))))))))
(+ (* 1/2 (/ (sin (* -1 (PI))) (PI))) (* x (+ (* 1/2 (+ 2 (* 2 (cos (* -1 (PI)))))) (* x (+ (* -1 (* (PI) (sin (* -1 (PI))))) (* -2/3 (* x (* (pow (PI) 2) (cos (* -1 (PI)))))))))))
(/ (sin (* -1 (PI))) (PI))
(+ (* 2 (* x (cos (* -1 (PI))))) (/ (sin (* -1 (PI))) (PI)))
(+ (* x (+ (* -2 (* x (* (PI) (sin (* -1 (PI)))))) (* 2 (cos (* -1 (PI)))))) (/ (sin (* -1 (PI))) (PI)))
(+ (* x (+ (* 2 (cos (* -1 (PI)))) (* x (+ (* -2 (* (PI) (sin (* -1 (PI))))) (* -4/3 (* x (* (pow (PI) 2) (cos (* -1 (PI)))))))))) (/ (sin (* -1 (PI))) (PI)))
(sin (* -1 (PI)))
(+ (sin (* -1 (PI))) (* 2 (* x (* (PI) (cos (* -1 (PI)))))))
(+ (sin (* -1 (PI))) (* x (+ (* -2 (* x (* (pow (PI) 2) (sin (* -1 (PI)))))) (* 2 (* (PI) (cos (* -1 (PI))))))))
(+ (sin (* -1 (PI))) (* x (+ (* 2 (* (PI) (cos (* -1 (PI))))) (* x (+ (* -2 (* (pow (PI) 2) (sin (* -1 (PI))))) (* -4/3 (* x (* (pow (PI) 3) (cos (* -1 (PI)))))))))))
(+ (* x (+ 2 (* 2 (cos (* -1 (PI)))))) (/ (sin (* -1 (PI))) (PI)))
(+ (* x (+ 2 (+ (* -2 (* x (* (PI) (sin (* -1 (PI)))))) (* 2 (cos (* -1 (PI))))))) (/ (sin (* -1 (PI))) (PI)))
(+ (* x (+ 2 (+ (* 2 (cos (* -1 (PI)))) (* x (+ (* -2 (* (PI) (sin (* -1 (PI))))) (* -4/3 (* x (* (pow (PI) 2) (cos (* -1 (PI))))))))))) (/ (sin (* -1 (PI))) (PI)))
x
(* x (+ 1 (* 1/2 (/ (sin (* 2 (* (PI) (- x 1/2)))) (* x (PI))))))
(/ (sin (* 2 (* (PI) (- x 1/2)))) (PI))
(sin (* 2 (* (PI) (- x 1/2))))
(* x (+ 2 (/ (sin (* 2 (* (PI) (- x 1/2)))) (* x (PI)))))
(* -1 (* x (- (* -1/2 (/ (sin (* -2 (* (PI) (+ 1/2 (* -1 x))))) (* x (PI)))) 1)))
(/ (sin (* -2 (* (PI) (+ 1/2 (* -1 x))))) (PI))
(sin (* -2 (* (PI) (+ 1/2 (* -1 x)))))
(* -1 (* x (- (* -1 (/ (sin (* -2 (* (PI) (+ 1/2 (* -1 x))))) (* x (PI)))) 2)))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (/ 1 2) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))) (sin (* (/ (- x 1/2) 1/2) (PI))) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI))))))
2.0ms	x	@	-inf	((+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (/ 1 2) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))) (sin (* (/ (- x 1/2) 1/2) (PI))) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI))))))
1.0ms	x	@	inf	((+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (/ 1 2) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))) (sin (* (/ (- x 1/2) 1/2) (PI))) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI))))))

Time

Variable

Point

Expression

2.0ms

((+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (/ 1 2) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))) (sin (* (/ (- x 1/2) 1/2) (PI))) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI))))))

2.0ms

-inf

((+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (/ 1 2) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))) (sin (* (/ (- x 1/2) 1/2) (PI))) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI))))))

1.0ms

inf

((+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (/ 1 2) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))) (sin (* (/ (- x 1/2) 1/2) (PI))) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI))))))

simplify1.6s (8.3%)

Memory

-359.8MiB live, 24.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	330
1	336	315
2	1003	225
3	3278	169
0	8637	155

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 24

Calls

Call 1

Inputs
(* 2 x)
(* 1/2 (/ (sin (* -1 (PI))) (PI)))
(+ (* 1/2 (* x (+ 2 (* 2 (cos (* -1 (PI))))))) (* 1/2 (/ (sin (* -1 (PI))) (PI))))
(+ (* 1/2 (/ (sin (* -1 (PI))) (PI))) (* x (+ (* -1 (* x (* (PI) (sin (* -1 (PI)))))) (* 1/2 (+ 2 (* 2 (cos (* -1 (PI)))))))))
(+ (* 1/2 (/ (sin (* -1 (PI))) (PI))) (* x (+ (* 1/2 (+ 2 (* 2 (cos (* -1 (PI)))))) (* x (+ (* -1 (* (PI) (sin (* -1 (PI))))) (* -2/3 (* x (* (pow (PI) 2) (cos (* -1 (PI)))))))))))
(/ (sin (* -1 (PI))) (PI))
(+ (* 2 (* x (cos (* -1 (PI))))) (/ (sin (* -1 (PI))) (PI)))
(+ (* x (+ (* -2 (* x (* (PI) (sin (* -1 (PI)))))) (* 2 (cos (* -1 (PI)))))) (/ (sin (* -1 (PI))) (PI)))
(+ (* x (+ (* 2 (cos (* -1 (PI)))) (* x (+ (* -2 (* (PI) (sin (* -1 (PI))))) (* -4/3 (* x (* (pow (PI) 2) (cos (* -1 (PI)))))))))) (/ (sin (* -1 (PI))) (PI)))
(sin (* -1 (PI)))
(+ (sin (* -1 (PI))) (* 2 (* x (* (PI) (cos (* -1 (PI)))))))
(+ (sin (* -1 (PI))) (* x (+ (* -2 (* x (* (pow (PI) 2) (sin (* -1 (PI)))))) (* 2 (* (PI) (cos (* -1 (PI))))))))
(+ (sin (* -1 (PI))) (* x (+ (* 2 (* (PI) (cos (* -1 (PI))))) (* x (+ (* -2 (* (pow (PI) 2) (sin (* -1 (PI))))) (* -4/3 (* x (* (pow (PI) 3) (cos (* -1 (PI)))))))))))
(+ (* x (+ 2 (* 2 (cos (* -1 (PI)))))) (/ (sin (* -1 (PI))) (PI)))
(+ (* x (+ 2 (+ (* -2 (* x (* (PI) (sin (* -1 (PI)))))) (* 2 (cos (* -1 (PI))))))) (/ (sin (* -1 (PI))) (PI)))
(+ (* x (+ 2 (+ (* 2 (cos (* -1 (PI)))) (* x (+ (* -2 (* (PI) (sin (* -1 (PI))))) (* -4/3 (* x (* (pow (PI) 2) (cos (* -1 (PI))))))))))) (/ (sin (* -1 (PI))) (PI)))
x
(* x (+ 1 (* 1/2 (/ (sin (* 2 (* (PI) (- x 1/2)))) (* x (PI))))))
(/ (sin (* 2 (* (PI) (- x 1/2)))) (PI))
(sin (* 2 (* (PI) (- x 1/2))))
(* x (+ 2 (/ (sin (* 2 (* (PI) (- x 1/2)))) (* x (PI)))))
(* -1 (* x (- (* -1/2 (/ (sin (* -2 (* (PI) (+ 1/2 (* -1 x))))) (* x (PI)))) 1)))
(/ (sin (* -2 (* (PI) (+ 1/2 (* -1 x))))) (PI))
(sin (* -2 (* (PI) (+ 1/2 (* -1 x)))))
(* -1 (* x (- (* -1 (/ (sin (* -2 (* (PI) (+ 1/2 (* -1 x))))) (* x (PI)))) 2)))

Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 1/2 (/ (sin (* -1 (PI))) (PI)))
#s(literal 0 binary64)
(+ (* 1/2 (* x (+ 2 (* 2 (cos (* -1 (PI))))))) (* 1/2 (/ (sin (* -1 (PI))) (PI))))
#s(literal 0 binary64)
(+ (* 1/2 (/ (sin (* -1 (PI))) (PI))) (* x (+ (* -1 (* x (* (PI) (sin (* -1 (PI)))))) (* 1/2 (+ 2 (* 2 (cos (* -1 (PI)))))))))
#s(literal 0 binary64)
(+ (* 1/2 (/ (sin (* -1 (PI))) (PI))) (* x (+ (* 1/2 (+ 2 (* 2 (cos (* -1 (PI)))))) (* x (+ (* -1 (* (PI) (sin (* -1 (PI))))) (* -2/3 (* x (* (pow (PI) 2) (cos (* -1 (PI)))))))))))
(.f64 (.f64 x x) (.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64)))
(/ (sin (* -1 (PI))) (PI))
#s(literal 0 binary64)
(+ (* 2 (* x (cos (* -1 (PI))))) (/ (sin (* -1 (PI))) (PI)))
(*.f64 #s(literal -2 binary64) x)
(+ (* x (+ (* -2 (* x (* (PI) (sin (* -1 (PI)))))) (* 2 (cos (* -1 (PI)))))) (/ (sin (* -1 (PI))) (PI)))
(*.f64 #s(literal -2 binary64) x)
(+ (* x (+ (* 2 (cos (* -1 (PI)))) (* x (+ (* -2 (* (PI) (sin (* -1 (PI))))) (* -4/3 (* x (* (pow (PI) 2) (cos (* -1 (PI)))))))))) (/ (sin (* -1 (PI))) (PI)))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) x) (PI.f64)) x) #s(literal 4/3 binary64) #s(literal -2 binary64)) x)
(sin (* -1 (PI)))
#s(literal 0 binary64)
(+ (sin (* -1 (PI))) (* 2 (* x (* (PI) (cos (* -1 (PI)))))))
(.f64 (.f64 #s(literal -2 binary64) x) (PI.f64))
(+ (sin (* -1 (PI))) (* x (+ (* -2 (* x (* (pow (PI) 2) (sin (* -1 (PI)))))) (* 2 (* (PI) (cos (* -1 (PI))))))))
(.f64 (.f64 #s(literal -2 binary64) x) (PI.f64))
(+ (sin (* -1 (PI))) (* x (+ (* 2 (* (PI) (cos (* -1 (PI))))) (* x (+ (* -2 (* (pow (PI) 2) (sin (* -1 (PI))))) (* -4/3 (* x (* (pow (PI) 3) (cos (* -1 (PI)))))))))))
(.f64 (.f64 (PI.f64) (fma.f64 (.f64 (.f64 (*.f64 (PI.f64) x) (PI.f64)) x) #s(literal 4/3 binary64) #s(literal -2 binary64))) x)
(+ (* x (+ 2 (* 2 (cos (* -1 (PI)))))) (/ (sin (* -1 (PI))) (PI)))
#s(literal 0 binary64)
(+ (* x (+ 2 (+ (* -2 (* x (* (PI) (sin (* -1 (PI)))))) (* 2 (cos (* -1 (PI))))))) (/ (sin (* -1 (PI))) (PI)))
#s(literal 0 binary64)
(+ (* x (+ 2 (+ (* 2 (cos (* -1 (PI)))) (* x (+ (* -2 (* (PI) (sin (* -1 (PI))))) (* -4/3 (* x (* (pow (PI) 2) (cos (* -1 (PI))))))))))) (/ (sin (* -1 (PI))) (PI)))
(.f64 (.f64 x x) (.f64 (.f64 (*.f64 x #s(literal 4/3 binary64)) (PI.f64)) (PI.f64)))
x
(* x (+ 1 (* 1/2 (/ (sin (* 2 (* (PI) (- x 1/2)))) (* x (PI))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) x)
(/ (sin (* 2 (* (PI) (- x 1/2)))) (PI))
(/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))
(sin (* 2 (* (PI) (- x 1/2))))
(sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64)))
(* x (+ 2 (/ (sin (* 2 (* (PI) (- x 1/2)))) (* x (PI)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))
(* -1 (* x (- (* -1/2 (/ (sin (* -2 (* (PI) (+ 1/2 (* -1 x))))) (* x (PI)))) 1)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) x)
(/ (sin (* -2 (* (PI) (+ 1/2 (* -1 x))))) (PI))
(/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))
(sin (* -2 (* (PI) (+ 1/2 (* -1 x)))))
(sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64)))
(* -1 (* x (- (* -1 (/ (sin (* -2 (* (PI) (+ 1/2 (* -1 x))))) (* x (PI)))) 2)))
(fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))

rewrite163.0ms (0.8%)

Memory

62.0MiB live, 62.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	70
0	28	70
1	120	58
2	949	58
0	8142	54

Stop Event

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

Counts

6 → 328

Calls

Call 1

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

Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (-.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))))
(-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))
(.f64 (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64))
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(fma.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (pow.f64 (PI.f64) #s(literal -1 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)))
(fma.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)))
(fma.f64 (neg.f64 (-.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (neg.f64 (PI.f64))) (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))))
(fma.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) #s(literal 2 binary64)) (-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))) (/.f64 (pow.f64 (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1/2 binary64)) (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1/2 binary64)) (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))))))
(-.f64 (/.f64 (pow.f64 (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)))) (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)))))
(+.f64 (+.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))) #s(literal 1 binary64))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)))
(+.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))))

eval74.0ms (0.4%)

Memory: -157.1MiB live, 38.6MiB allocated
Compiler: Compiled 14 076 to 1 355 computations (90.4% saved)

prune20.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	329	14	343
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	330	14	344

Accuracy

99.0%

Counts

344 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.2%	(fma.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	4.2%	(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (PI.f64) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (PI.f64)))
	67.2%	(+.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1/2 binary64)) (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))) #s(literal 1/2 binary64)))
	67.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)))))
	1.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))))
	1.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (sqrt.f64 (PI.f64))))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64)))))
	4.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
▶	4.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
▶	4.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
	5.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(approx ( (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) x) (PI.f64)) x) #s(literal 4/3 binary64) #s(literal -2 binary64)) x))))
▶	4.2%	(.f64 (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64))
	4.2%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) x))
▶	98.3%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))))
▶	66.0%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) #s(literal 0 binary64))

Compiler

Compiled 922 to 536 computations (41.9% saved)

simplify174.0ms (0.9%)

Memory

-29.0MiB live, 46.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	2	(.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff	2	(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	4	(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
cost-diff	2	(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	2	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
cost-diff	3	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))
cost-diff	1	(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
cost-diff	2	(-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
cost-diff	2	(.f64 (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) #s(literal 0 binary64))
cost-diff	0	(.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))))
cost-diff	2	(.f64 (.f64 x x) (.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	487
0	92	465
1	186	427
2	471	411
3	1573	395
4	5681	391
0	8398	368

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))))
(.f64 (.f64 x x) (.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64)))
(*.f64 x x)
x
(.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))
(.f64 (.f64 x #s(literal 2/3 binary64)) (PI.f64))
(*.f64 x #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(PI.f64)
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) #s(literal 0 binary64))
#s(literal 0 binary64)
(.f64 (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))
(sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))
(PI.f64)
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
x
#s(literal 2 binary64)
#s(literal -1 binary64)
(-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(*.f64 x #s(literal 2 binary64))
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))
(*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))
(/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 3 binary64)
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))
(*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))
(/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

Outputs
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (PI.f64)) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(.f64 (.f64 x x) (.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (PI.f64)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 x x)
x
(.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))
(.f64 (.f64 (PI.f64) (*.f64 #s(literal 2/3 binary64) x)) (PI.f64))
(.f64 (.f64 x #s(literal 2/3 binary64)) (PI.f64))
(.f64 (PI.f64) (.f64 #s(literal 2/3 binary64) x))
(*.f64 x #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
(PI.f64)
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) #s(literal 0 binary64))
#s(literal 0 binary64)
(.f64 (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (PI.f64)) x)
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 x #s(literal 2 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) (PI.f64))) (PI.f64)))
(/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))
(/.f64 (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) (PI.f64))) (PI.f64))
(sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))))
(sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) (PI.f64)))
(*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) (PI.f64))
(PI.f64)
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
x
#s(literal 2 binary64)
#s(literal -1 binary64)
(-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 x #s(literal 1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))
(fma.f64 x #s(literal 2 binary64) (/.f64 (sin.f64 (*.f64 (/.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 x #s(literal 1/2 binary64)))) (PI.f64)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
x
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (sin.f64 (*.f64 (/.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 x #s(literal 1/2 binary64)))) (PI.f64))
(/.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))
(sin.f64 (*.f64 (/.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))
(*.f64 (/.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 x #s(literal 1/2 binary64)))) (/.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))
(+.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 (*.f64 (/.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 x #s(literal 1/2 binary64)))) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 3 binary64)
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (sin.f64 (*.f64 (/.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 x #s(literal 1/2 binary64)))) (PI.f64))
(/.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))
(sin.f64 (*.f64 (/.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))
(*.f64 (/.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

localize761.0ms (3.9%)

Memory

19.1MiB live, 170.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.42578125	(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))
accuracy	20.554050507423067	(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))
accuracy	58.2685286842327	(sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))
accuracy	58.319276700926196	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
accuracy	0.42578125	(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))
accuracy	20.554050507423067	(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))
accuracy	58.2685286842327	(sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))
accuracy	58.42819461693089	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy	0.0234375	(*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))
accuracy	0.2578125	(/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))
accuracy	20.554050507423067	(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
accuracy	58.2685286842327	(sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))))
accuracy	21.77970143685316	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) #s(literal 0 binary64))
accuracy	0.28515625	(.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))
accuracy	0.3359375	(.f64 (.f64 x #s(literal 2/3 binary64)) (PI.f64))
accuracy	0.3515625	(*.f64 x #s(literal 2/3 binary64))
accuracy	0.7820367034059538	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))))

Samples

508.0ms	194×	1	valid
200.0ms	57×	2	valid
2.0ms	5×	0	valid

Compiler

Compiled 497 to 47 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 656.0ms

ival-sinu: 481.0ms (73.3% of total)

ival-mult: 82.0ms (12.5% of total)

adjust: 29.0ms (4.4% of total)

ival-add: 22.0ms (3.4% of total)

ival-div: 18.0ms (2.7% of total)

ival-sub: 10.0ms (1.5% of total)

ival-pow: 6.0ms (0.9% of total)

const: 4.0ms (0.6% of total)

ival-pi: 2.0ms (0.3% of total)

exact: 1.0ms (0.2% of total)

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

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

series17.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

24 → 62

Calls

Call 1

Inputs
(.f64 (.f64 x x) (.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64)))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))))
(*.f64 x x)
(.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) #s(literal 0 binary64))
(.f64 (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x #s(literal 2/3 binary64))
(.f64 (.f64 x #s(literal 2/3 binary64)) (PI.f64))
(sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))
(sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))

Outputs
(* 2/3 (* (pow x 3) (pow (PI) 2)))
(* 1/2 (/ (sin (* -1 (PI))) (PI)))
(+ (* 1/2 (* x (+ 2 (* 2 (cos (* -1 (PI))))))) (* 1/2 (/ (sin (* -1 (PI))) (PI))))
(+ (* 1/2 (/ (sin (* -1 (PI))) (PI))) (* x (+ (* -1 (* x (* (PI) (sin (* -1 (PI)))))) (* 1/2 (+ 2 (* 2 (cos (* -1 (PI)))))))))
(+ (* 1/2 (/ (sin (* -1 (PI))) (PI))) (* x (+ (* 1/2 (+ 2 (* 2 (cos (* -1 (PI)))))) (* x (+ (* -1 (* (PI) (sin (* -1 (PI))))) (* -2/3 (* x (* (pow (PI) 2) (cos (* -1 (PI)))))))))))
(pow x 2)
(* 2/3 (* x (pow (PI) 2)))
(* 2 x)
(/ (sin (* -1 (PI))) (PI))
(+ (* x (+ 2 (* 2 (cos (* -1 (PI)))))) (/ (sin (* -1 (PI))) (PI)))
(+ (* x (+ 2 (+ (* -2 (* x (* (PI) (sin (* -1 (PI)))))) (* 2 (cos (* -1 (PI))))))) (/ (sin (* -1 (PI))) (PI)))
(+ (* x (+ 2 (+ (* 2 (cos (* -1 (PI)))) (* x (+ (* -2 (* (PI) (sin (* -1 (PI))))) (* -4/3 (* x (* (pow (PI) 2) (cos (* -1 (PI))))))))))) (/ (sin (* -1 (PI))) (PI)))
(+ (* 2 (* x (cos (* -1 (PI))))) (/ (sin (* -1 (PI))) (PI)))
(+ (* x (+ (* -2 (* x (* (PI) (sin (* -1 (PI)))))) (* 2 (cos (* -1 (PI)))))) (/ (sin (* -1 (PI))) (PI)))
(+ (* x (+ (* 2 (cos (* -1 (PI)))) (* x (+ (* -2 (* (PI) (sin (* -1 (PI))))) (* -4/3 (* x (* (pow (PI) 2) (cos (* -1 (PI)))))))))) (/ (sin (* -1 (PI))) (PI)))
3
(+ 3 (* 6 x))
(+ 3 (* x (+ 6 (* 4 x))))
2
(+ 2 (* 2 x))
1
(+ 1 (* 2 x))
(* 2/3 x)
(* 2/3 (* x (PI)))
(sin (* -1 (PI)))
(+ (sin (* -1 (PI))) (* 2 (* x (* (PI) (cos (* -1 (PI)))))))
(+ (sin (* -1 (PI))) (* x (+ (* -2 (* x (* (pow (PI) 2) (sin (* -1 (PI)))))) (* 2 (* (PI) (cos (* -1 (PI))))))))
(+ (sin (* -1 (PI))) (* x (+ (* 2 (* (PI) (cos (* -1 (PI))))) (* x (+ (* -2 (* (pow (PI) 2) (sin (* -1 (PI))))) (* -4/3 (* x (* (pow (PI) 3) (cos (* -1 (PI)))))))))))
(* -1 (PI))
(+ (* -1 (PI)) (* 2 (* x (PI))))
(* 6 x)
(* x (+ 6 (* 12 x)))
(* x (+ 6 (* x (+ 12 (* 8 x)))))
x
(* x (+ 1 (* 1/2 (/ (sin (* 2 (* (PI) (- x 1/2)))) (* x (PI))))))
(* x (+ 1 (* 1/2 (/ (sin (* (PI) (- (* 2 x) 1))) (* x (PI))))))
(* x (+ 2 (/ (sin (* (PI) (- (* 2 x) 1))) (* x (PI)))))
(/ (sin (* (PI) (- (* 2 x) 1))) (PI))
(/ (sin (* 2 (* (PI) (- x 1/2)))) (PI))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 3 (pow x 2)))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (/ 1 x)))
(sin (* (PI) (- (* 2 x) 1)))
(* 2 (* x (PI)))
(* x (+ (* -1 (/ (PI) x)) (* 2 (PI))))
(sin (* 2 (* (PI) (- x 1/2))))
(* x (+ 2 (/ (sin (* 2 (* (PI) (- x 1/2)))) (* x (PI)))))
(* 8 (pow x 3))
(* (pow x 3) (+ 8 (* 12 (/ 1 x))))
(* (pow x 3) (+ 8 (+ (* 12 (/ 1 x)) (/ 6 (pow x 2)))))
(* -1 (* x (- (* -1/2 (/ (sin (* -2 (* (PI) (+ 1/2 (* -1 x))))) (* x (PI)))) 1)))
(* -1 (* x (- (* -1/2 (/ (sin (* -1 (* (PI) (+ 1 (* -2 x))))) (* x (PI)))) 1)))
(* -1 (* x (- (* -1 (/ (sin (* -1 (* (PI) (+ 1 (* -2 x))))) (* x (PI)))) 2)))
(/ (sin (* -1 (* (PI) (+ 1 (* -2 x))))) (PI))
(/ (sin (* -2 (* (PI) (+ 1/2 (* -1 x))))) (PI))
(sin (* -1 (* (PI) (+ 1 (* -2 x)))))
(* -1 (* x (+ (* -2 (PI)) (/ (PI) x))))
(sin (* -2 (* (PI) (+ 1/2 (* -1 x)))))
(* -1 (* x (- (* -1 (/ (sin (* -2 (* (PI) (+ 1/2 (* -1 x))))) (* x (PI)))) 2)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 12 (* 6 (/ 1 x))) x)) 8)))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((* (* x x) (* (* (* x 2/3) (PI)) (PI))) (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (* x x) (* (* (* x 2/3) (PI)) (PI)) (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (* (+ (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (* x 2) 0)) 1/2) (- (* x 2) 0) (+ (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (* x 2) 0)) (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (+ 1 (* x 2)) 1) (* (/ 1 2) (+ (- (+ 1 (* x 2)) 1) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (/ 1 2) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))) (+ (* (+ 1 (* x 2)) (+ 1 (* x 2))) (+ 1 (* (+ 1 (* x 2)) 1))) (+ 1 (* (+ 1 (* x 2)) 1)) (* (+ 1 (* x 2)) 1) (* x 2/3) (* (* x 2/3) (PI)) (sin (* (PI) (+ (* x 2) -1))) (* (PI) (+ (* x 2) -1)) (sin (* (/ (- x 1/2) 1/2) (PI))) (+ (- (+ 1 (* x 2)) 1) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI))))) (- (pow (+ 1 (* x 2)) 3) 1) (+ (/ (- (pow (+ 1 (* x 2)) 3) 1) (+ (* (+ 1 (* x 2)) (+ 1 (* x 2))) (+ 1 (* (+ 1 (* x 2)) 1)))) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI))))))
5.0ms	x	@	-inf	((* (* x x) (* (* (* x 2/3) (PI)) (PI))) (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (* x x) (* (* (* x 2/3) (PI)) (PI)) (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (* (+ (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (* x 2) 0)) 1/2) (- (* x 2) 0) (+ (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (* x 2) 0)) (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (+ 1 (* x 2)) 1) (* (/ 1 2) (+ (- (+ 1 (* x 2)) 1) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (/ 1 2) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))) (+ (* (+ 1 (* x 2)) (+ 1 (* x 2))) (+ 1 (* (+ 1 (* x 2)) 1))) (+ 1 (* (+ 1 (* x 2)) 1)) (* (+ 1 (* x 2)) 1) (* x 2/3) (* (* x 2/3) (PI)) (sin (* (PI) (+ (* x 2) -1))) (* (PI) (+ (* x 2) -1)) (sin (* (/ (- x 1/2) 1/2) (PI))) (+ (- (+ 1 (* x 2)) 1) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI))))) (- (pow (+ 1 (* x 2)) 3) 1) (+ (/ (- (pow (+ 1 (* x 2)) 3) 1) (+ (* (+ 1 (* x 2)) (+ 1 (* x 2))) (+ 1 (* (+ 1 (* x 2)) 1)))) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI))))))
5.0ms	x	@	inf	((* (* x x) (* (* (* x 2/3) (PI)) (PI))) (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (* x x) (* (* (* x 2/3) (PI)) (PI)) (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (* (+ (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (* x 2) 0)) 1/2) (- (* x 2) 0) (+ (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (* x 2) 0)) (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (+ 1 (* x 2)) 1) (* (/ 1 2) (+ (- (+ 1 (* x 2)) 1) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (/ 1 2) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))) (+ (* (+ 1 (* x 2)) (+ 1 (* x 2))) (+ 1 (* (+ 1 (* x 2)) 1))) (+ 1 (* (+ 1 (* x 2)) 1)) (* (+ 1 (* x 2)) 1) (* x 2/3) (* (* x 2/3) (PI)) (sin (* (PI) (+ (* x 2) -1))) (* (PI) (+ (* x 2) -1)) (sin (* (/ (- x 1/2) 1/2) (PI))) (+ (- (+ 1 (* x 2)) 1) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI))))) (- (pow (+ 1 (* x 2)) 3) 1) (+ (/ (- (pow (+ 1 (* x 2)) 3) 1) (+ (* (+ 1 (* x 2)) (+ 1 (* x 2))) (+ 1 (* (+ 1 (* x 2)) 1)))) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI))))))

Time

Variable

Point

Expression

5.0ms

((* (* x x) (* (* (* x 2/3) (PI)) (PI))) (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (* x x) (* (* (* x 2/3) (PI)) (PI)) (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (* (+ (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (* x 2) 0)) 1/2) (- (* x 2) 0) (+ (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (* x 2) 0)) (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (+ 1 (* x 2)) 1) (* (/ 1 2) (+ (- (+ 1 (* x 2)) 1) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (/ 1 2) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))) (+ (* (+ 1 (* x 2)) (+ 1 (* x 2))) (+ 1 (* (+ 1 (* x 2)) 1))) (+ 1 (* (+ 1 (* x 2)) 1)) (* (+ 1 (* x 2)) 1) (* x 2/3) (* (* x 2/3) (PI)) (sin (* (PI) (+ (* x 2) -1))) (* (PI) (+ (* x 2) -1)) (sin (* (/ (- x 1/2) 1/2) (PI))) (+ (- (+ 1 (* x 2)) 1) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI))))) (- (pow (+ 1 (* x 2)) 3) 1) (+ (/ (- (pow (+ 1 (* x 2)) 3) 1) (+ (* (+ 1 (* x 2)) (+ 1 (* x 2))) (+ 1 (* (+ 1 (* x 2)) 1)))) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI))))))

5.0ms

-inf

((* (* x x) (* (* (* x 2/3) (PI)) (PI))) (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (* x x) (* (* (* x 2/3) (PI)) (PI)) (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (* (+ (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (* x 2) 0)) 1/2) (- (* x 2) 0) (+ (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (* x 2) 0)) (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (+ 1 (* x 2)) 1) (* (/ 1 2) (+ (- (+ 1 (* x 2)) 1) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (/ 1 2) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))) (+ (* (+ 1 (* x 2)) (+ 1 (* x 2))) (+ 1 (* (+ 1 (* x 2)) 1))) (+ 1 (* (+ 1 (* x 2)) 1)) (* (+ 1 (* x 2)) 1) (* x 2/3) (* (* x 2/3) (PI)) (sin (* (PI) (+ (* x 2) -1))) (* (PI) (+ (* x 2) -1)) (sin (* (/ (- x 1/2) 1/2) (PI))) (+ (- (+ 1 (* x 2)) 1) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI))))) (- (pow (+ 1 (* x 2)) 3) 1) (+ (/ (- (pow (+ 1 (* x 2)) 3) 1) (+ (* (+ 1 (* x 2)) (+ 1 (* x 2))) (+ 1 (* (+ 1 (* x 2)) 1)))) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI))))))

5.0ms

inf

((* (* x x) (* (* (* x 2/3) (PI)) (PI))) (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (* x x) (* (* (* x 2/3) (PI)) (PI)) (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (* (+ (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (* x 2) 0)) 1/2) (- (* x 2) 0) (+ (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (* x 2) 0)) (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (+ 1 (* x 2)) 1) (* (/ 1 2) (+ (- (+ 1 (* x 2)) 1) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (/ 1 2) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))) (+ (* (+ 1 (* x 2)) (+ 1 (* x 2))) (+ 1 (* (+ 1 (* x 2)) 1))) (+ 1 (* (+ 1 (* x 2)) 1)) (* (+ 1 (* x 2)) 1) (* x 2/3) (* (* x 2/3) (PI)) (sin (* (PI) (+ (* x 2) -1))) (* (PI) (+ (* x 2) -1)) (sin (* (/ (- x 1/2) 1/2) (PI))) (+ (- (+ 1 (* x 2)) 1) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI))))) (- (pow (+ 1 (* x 2)) 3) 1) (+ (/ (- (pow (+ 1 (* x 2)) 3) 1) (+ (* (+ 1 (* x 2)) (+ 1 (* x 2))) (+ 1 (* (+ 1 (* x 2)) 1)))) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI))))))

simplify80.0ms (0.4%)

Memory

17.5MiB live, 17.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	619
1	622	601
2	1725	502
3	3898	405
4	7981	405
0	8002	376

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 61

Calls

Call 1

Inputs
(* 2/3 (* (pow x 3) (pow (PI) 2)))
(* 1/2 (/ (sin (* -1 (PI))) (PI)))
(+ (* 1/2 (* x (+ 2 (* 2 (cos (* -1 (PI))))))) (* 1/2 (/ (sin (* -1 (PI))) (PI))))
(+ (* 1/2 (/ (sin (* -1 (PI))) (PI))) (* x (+ (* -1 (* x (* (PI) (sin (* -1 (PI)))))) (* 1/2 (+ 2 (* 2 (cos (* -1 (PI)))))))))
(+ (* 1/2 (/ (sin (* -1 (PI))) (PI))) (* x (+ (* 1/2 (+ 2 (* 2 (cos (* -1 (PI)))))) (* x (+ (* -1 (* (PI) (sin (* -1 (PI))))) (* -2/3 (* x (* (pow (PI) 2) (cos (* -1 (PI)))))))))))
(pow x 2)
(* 2/3 (* x (pow (PI) 2)))
(* 2 x)
(/ (sin (* -1 (PI))) (PI))
(+ (* x (+ 2 (* 2 (cos (* -1 (PI)))))) (/ (sin (* -1 (PI))) (PI)))
(+ (* x (+ 2 (+ (* -2 (* x (* (PI) (sin (* -1 (PI)))))) (* 2 (cos (* -1 (PI))))))) (/ (sin (* -1 (PI))) (PI)))
(+ (* x (+ 2 (+ (* 2 (cos (* -1 (PI)))) (* x (+ (* -2 (* (PI) (sin (* -1 (PI))))) (* -4/3 (* x (* (pow (PI) 2) (cos (* -1 (PI))))))))))) (/ (sin (* -1 (PI))) (PI)))
(+ (* 2 (* x (cos (* -1 (PI))))) (/ (sin (* -1 (PI))) (PI)))
(+ (* x (+ (* -2 (* x (* (PI) (sin (* -1 (PI)))))) (* 2 (cos (* -1 (PI)))))) (/ (sin (* -1 (PI))) (PI)))
(+ (* x (+ (* 2 (cos (* -1 (PI)))) (* x (+ (* -2 (* (PI) (sin (* -1 (PI))))) (* -4/3 (* x (* (pow (PI) 2) (cos (* -1 (PI)))))))))) (/ (sin (* -1 (PI))) (PI)))
3
(+ 3 (* 6 x))
(+ 3 (* x (+ 6 (* 4 x))))
2
(+ 2 (* 2 x))
1
(+ 1 (* 2 x))
(* 2/3 x)
(* 2/3 (* x (PI)))
(sin (* -1 (PI)))
(+ (sin (* -1 (PI))) (* 2 (* x (* (PI) (cos (* -1 (PI)))))))
(+ (sin (* -1 (PI))) (* x (+ (* -2 (* x (* (pow (PI) 2) (sin (* -1 (PI)))))) (* 2 (* (PI) (cos (* -1 (PI))))))))
(+ (sin (* -1 (PI))) (* x (+ (* 2 (* (PI) (cos (* -1 (PI))))) (* x (+ (* -2 (* (pow (PI) 2) (sin (* -1 (PI))))) (* -4/3 (* x (* (pow (PI) 3) (cos (* -1 (PI)))))))))))
(* -1 (PI))
(+ (* -1 (PI)) (* 2 (* x (PI))))
(* 6 x)
(* x (+ 6 (* 12 x)))
(* x (+ 6 (* x (+ 12 (* 8 x)))))
x
(* x (+ 1 (* 1/2 (/ (sin (* 2 (* (PI) (- x 1/2)))) (* x (PI))))))
(* x (+ 1 (* 1/2 (/ (sin (* (PI) (- (* 2 x) 1))) (* x (PI))))))
(* x (+ 2 (/ (sin (* (PI) (- (* 2 x) 1))) (* x (PI)))))
(/ (sin (* (PI) (- (* 2 x) 1))) (PI))
(/ (sin (* 2 (* (PI) (- x 1/2)))) (PI))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 3 (pow x 2)))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (/ 1 x)))
(sin (* (PI) (- (* 2 x) 1)))
(* 2 (* x (PI)))
(* x (+ (* -1 (/ (PI) x)) (* 2 (PI))))
(sin (* 2 (* (PI) (- x 1/2))))
(* x (+ 2 (/ (sin (* 2 (* (PI) (- x 1/2)))) (* x (PI)))))
(* 8 (pow x 3))
(* (pow x 3) (+ 8 (* 12 (/ 1 x))))
(* (pow x 3) (+ 8 (+ (* 12 (/ 1 x)) (/ 6 (pow x 2)))))
(* -1 (* x (- (* -1/2 (/ (sin (* -2 (* (PI) (+ 1/2 (* -1 x))))) (* x (PI)))) 1)))
(* -1 (* x (- (* -1/2 (/ (sin (* -1 (* (PI) (+ 1 (* -2 x))))) (* x (PI)))) 1)))
(* -1 (* x (- (* -1 (/ (sin (* -1 (* (PI) (+ 1 (* -2 x))))) (* x (PI)))) 2)))
(/ (sin (* -1 (* (PI) (+ 1 (* -2 x))))) (PI))
(/ (sin (* -2 (* (PI) (+ 1/2 (* -1 x))))) (PI))
(sin (* -1 (* (PI) (+ 1 (* -2 x)))))
(* -1 (* x (+ (* -2 (PI)) (/ (PI) x))))
(sin (* -2 (* (PI) (+ 1/2 (* -1 x)))))
(* -1 (* x (- (* -1 (/ (sin (* -2 (* (PI) (+ 1/2 (* -1 x))))) (* x (PI)))) 2)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 12 (* 6 (/ 1 x))) x)) 8)))

Outputs
(* 2/3 (* (pow x 3) (pow (PI) 2)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))
(* 1/2 (/ (sin (* -1 (PI))) (PI)))
#s(literal 0 binary64)
(+ (* 1/2 (* x (+ 2 (* 2 (cos (* -1 (PI))))))) (* 1/2 (/ (sin (* -1 (PI))) (PI))))
#s(literal 0 binary64)
(+ (* 1/2 (/ (sin (* -1 (PI))) (PI))) (* x (+ (* -1 (* x (* (PI) (sin (* -1 (PI)))))) (* 1/2 (+ 2 (* 2 (cos (* -1 (PI)))))))))
#s(literal 0 binary64)
(+ (* 1/2 (/ (sin (* -1 (PI))) (PI))) (* x (+ (* 1/2 (+ 2 (* 2 (cos (* -1 (PI)))))) (* x (+ (* -1 (* (PI) (sin (* -1 (PI))))) (* -2/3 (* x (* (pow (PI) 2) (cos (* -1 (PI)))))))))))
(.f64 (.f64 x x) (.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2/3 binary64)) x))
(pow x 2)
(*.f64 x x)
(* 2/3 (* x (pow (PI) 2)))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2/3 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(/ (sin (* -1 (PI))) (PI))
#s(literal 0 binary64)
(+ (* x (+ 2 (* 2 (cos (* -1 (PI)))))) (/ (sin (* -1 (PI))) (PI)))
#s(literal 0 binary64)
(+ (* x (+ 2 (+ (* -2 (* x (* (PI) (sin (* -1 (PI)))))) (* 2 (cos (* -1 (PI))))))) (/ (sin (* -1 (PI))) (PI)))
#s(literal 0 binary64)
(+ (* x (+ 2 (+ (* 2 (cos (* -1 (PI)))) (* x (+ (* -2 (* (PI) (sin (* -1 (PI))))) (* -4/3 (* x (* (pow (PI) 2) (cos (* -1 (PI))))))))))) (/ (sin (* -1 (PI))) (PI)))
(.f64 (.f64 (.f64 #s(literal 4/3 binary64) (.f64 (*.f64 (PI.f64) (PI.f64)) x)) x) x)
(+ (* 2 (* x (cos (* -1 (PI))))) (/ (sin (* -1 (PI))) (PI)))
(*.f64 #s(literal -2 binary64) x)
(+ (* x (+ (* -2 (* x (* (PI) (sin (* -1 (PI)))))) (* 2 (cos (* -1 (PI)))))) (/ (sin (* -1 (PI))) (PI)))
(*.f64 #s(literal -2 binary64) x)
(+ (* x (+ (* 2 (cos (* -1 (PI)))) (* x (+ (* -2 (* (PI) (sin (* -1 (PI))))) (* -4/3 (* x (* (pow (PI) 2) (cos (* -1 (PI)))))))))) (/ (sin (* -1 (PI))) (PI)))
(.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) x)) x #s(literal -2 binary64)) x)
3
#s(literal 3 binary64)
(+ 3 (* 6 x))
(fma.f64 #s(literal 6 binary64) x #s(literal 3 binary64))
(+ 3 (* x (+ 6 (* 4 x))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 3 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 (* x (PI)))
(.f64 (.f64 (PI.f64) x) #s(literal 2/3 binary64))
(sin (* -1 (PI)))
#s(literal 0 binary64)
(+ (sin (* -1 (PI))) (* 2 (* x (* (PI) (cos (* -1 (PI)))))))
(.f64 (.f64 #s(literal -2 binary64) x) (PI.f64))
(+ (sin (* -1 (PI))) (* x (+ (* -2 (* x (* (pow (PI) 2) (sin (* -1 (PI)))))) (* 2 (* (PI) (cos (* -1 (PI))))))))
(.f64 (.f64 #s(literal -2 binary64) x) (PI.f64))
(+ (sin (* -1 (PI))) (* x (+ (* 2 (* (PI) (cos (* -1 (PI))))) (* x (+ (* -2 (* (pow (PI) 2) (sin (* -1 (PI))))) (* -4/3 (* x (* (pow (PI) 3) (cos (* -1 (PI)))))))))))
(.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) x)) x (.f64 #s(literal -2 binary64) (PI.f64))) x)
(* -1 (PI))
(neg.f64 (PI.f64))
(+ (* -1 (PI)) (* 2 (* x (PI))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* 12 x)))
(*.f64 (fma.f64 #s(literal 12 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* x (+ 12 (* 8 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 8 binary64) x #s(literal 12 binary64)) x #s(literal 6 binary64)) x)
x
(* x (+ 1 (* 1/2 (/ (sin (* 2 (* (PI) (- x 1/2)))) (* x (PI))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (sin.f64 (.f64 (.f64 #s(literal -2 binary64) x) (PI.f64))) x)
(* x (+ 1 (* 1/2 (/ (sin (* (PI) (- (* 2 x) 1))) (* x (PI))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (sin.f64 (.f64 (.f64 #s(literal -2 binary64) x) (PI.f64))) x)
(* x (+ 2 (/ (sin (* (PI) (- (* 2 x) 1))) (* x (PI)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (.f64 (.f64 #s(literal -2 binary64) x) (PI.f64))) (PI.f64)))
(/ (sin (* (PI) (- (* 2 x) 1))) (PI))
(/.f64 (sin.f64 (.f64 (.f64 #s(literal -2 binary64) x) (PI.f64))) (PI.f64))
(/ (sin (* 2 (* (PI) (- x 1/2)))) (PI))
(/.f64 (sin.f64 (.f64 (.f64 #s(literal -2 binary64) x) (PI.f64))) (PI.f64))
(* 4 (pow x 2))
(.f64 (.f64 #s(literal 4 binary64) x) x)
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 3 (pow x 2)))))
(fma.f64 (/.f64 #s(literal 3 binary64) x) x (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(sin (* (PI) (- (* 2 x) 1)))
(sin.f64 (.f64 (.f64 #s(literal -2 binary64) x) (PI.f64)))
(* 2 (* x (PI)))
(.f64 (.f64 (PI.f64) #s(literal 2 binary64)) x)
(* x (+ (* -1 (/ (PI) x)) (* 2 (PI))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))
(sin (* 2 (* (PI) (- x 1/2))))
(sin.f64 (.f64 (.f64 #s(literal -2 binary64) x) (PI.f64)))
(* x (+ 2 (/ (sin (* 2 (* (PI) (- x 1/2)))) (* x (PI)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (.f64 (.f64 #s(literal -2 binary64) x) (PI.f64))) (PI.f64)))
(* 8 (pow x 3))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 8 (* 12 (/ 1 x))))
(.f64 (fma.f64 #s(literal 8 binary64) x #s(literal 12 binary64)) (.f64 x x))
(* (pow x 3) (+ 8 (+ (* 12 (/ 1 x)) (/ 6 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 8 binary64) x #s(literal 12 binary64)) x #s(literal 6 binary64)) x)
(* -1 (* x (- (* -1/2 (/ (sin (* -2 (* (PI) (+ 1/2 (* -1 x))))) (* x (PI)))) 1)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (sin.f64 (.f64 (.f64 #s(literal -2 binary64) x) (PI.f64))) x)
(* -1 (* x (- (* -1/2 (/ (sin (* -1 (* (PI) (+ 1 (* -2 x))))) (* x (PI)))) 1)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (sin.f64 (.f64 (.f64 #s(literal -2 binary64) x) (PI.f64))) x)
(* -1 (* x (- (* -1 (/ (sin (* -1 (* (PI) (+ 1 (* -2 x))))) (* x (PI)))) 2)))
(fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (.f64 (.f64 #s(literal -2 binary64) x) (PI.f64))) (PI.f64)))
(/ (sin (* -1 (* (PI) (+ 1 (* -2 x))))) (PI))
(/.f64 (sin.f64 (.f64 (.f64 #s(literal -2 binary64) x) (PI.f64))) (PI.f64))
(/ (sin (* -2 (* (PI) (+ 1/2 (* -1 x))))) (PI))
(/.f64 (sin.f64 (.f64 (.f64 #s(literal -2 binary64) x) (PI.f64))) (PI.f64))
(sin (* -1 (* (PI) (+ 1 (* -2 x)))))
(sin.f64 (.f64 (.f64 #s(literal -2 binary64) x) (PI.f64)))
(* -1 (* x (+ (* -2 (PI)) (/ (PI) x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))
(sin (* -2 (* (PI) (+ 1/2 (* -1 x)))))
(sin.f64 (.f64 (.f64 #s(literal -2 binary64) x) (PI.f64)))
(* -1 (* x (- (* -1 (/ (sin (* -2 (* (PI) (+ 1/2 (* -1 x))))) (* x (PI)))) 2)))
(fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (.f64 (.f64 #s(literal -2 binary64) x) (PI.f64))) (PI.f64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 12 (* 6 (/ 1 x))) x)) 8)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 12 binary64)) x) #s(literal -8 binary64)) (pow.f64 x #s(literal 3 binary64)))

rewrite212.0ms (1.1%)

Memory

10.7MiB live, 84.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	304
0	88	237
1	359	215
2	3402	215
0	8647	202

Stop Event

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

Counts

24 → 1 551

Calls

Call 1

Inputs
(.f64 (.f64 x x) (.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64)))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))))
(*.f64 x x)
(.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) #s(literal 0 binary64))
(.f64 (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x #s(literal 2/3 binary64))
(.f64 (.f64 x #s(literal 2/3 binary64)) (PI.f64))
(sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))
(sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))

Outputs
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (PI.f64))
(.f64 (.f64 (.f64 x x) (PI.f64)) (.f64 (PI.f64) (*.f64 #s(literal 2/3 binary64) x)))
(.f64 (.f64 (.f64 x x) (.f64 #s(literal 2/3 binary64) x)) (*.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (.f64 (.f64 (PI.f64) (*.f64 #s(literal 2/3 binary64) x)) (PI.f64)) x) x)
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64))) (PI.f64))
(.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 2/3 binary64) x)) (PI.f64)) (*.f64 x x))
(.f64 (.f64 (PI.f64) (.f64 #s(literal 2/3 binary64) x)) (.f64 (PI.f64) (*.f64 x x)))
(.f64 (PI.f64) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(.f64 (.f64 #s(literal 2/3 binary64) x) (pow.f64 (*.f64 (PI.f64) x) #s(literal 2 binary64)))
(.f64 (.f64 x x) (.f64 (.f64 (PI.f64) (*.f64 #s(literal 2/3 binary64) x)) (PI.f64)))
(.f64 x (.f64 (.f64 (.f64 (PI.f64) (*.f64 #s(literal 2/3 binary64) x)) (PI.f64)) x))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 #s(literal 2/3 binary64) x) (pow.f64 (*.f64 (PI.f64) x) #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 2/3 binary64) x)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 2/3 binary64) x)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (PI.f64))
(.f64 (.f64 (PI.f64) x) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (PI.f64) (.f64 #s(literal 2/3 binary64) x))))
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 2/3 binary64) x))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (PI.f64) (.f64 #s(literal 2/3 binary64) x))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (.f64 #s(literal 2/3 binary64) x)) (PI.f64)))
(.f64 (.f64 (PI.f64) (*.f64 #s(literal 2/3 binary64) x)) (PI.f64))
(.f64 (PI.f64) (.f64 (PI.f64) (*.f64 #s(literal 2/3 binary64) x)))
(.f64 (.f64 #s(literal 2/3 binary64) x) (*.f64 (PI.f64) (PI.f64)))
(.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 (PI.f64) (PI.f64))))
(.f64 x (.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (PI.f64)))
(.f64 x (.f64 #s(literal 2/3 binary64) (*.f64 (PI.f64) (PI.f64))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) #s(literal 0 binary64))
(.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64)))) #s(literal -2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) (.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64)))) #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64)))) #s(literal -3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) (-.f64 (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64)))) #s(literal -3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64)))) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64)))) #s(literal -2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))))) (neg.f64 (-.f64 (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) (.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64)))) #s(literal -2 binary64))))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64)))) #s(literal -3 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) (-.f64 (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64)))) #s(literal -3 binary64))))) (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64)))) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (.f64 (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (.f64 (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) #s(literal 1/2 binary64)))))))
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(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))))
(fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))))
(fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))
(fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))
(fma.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))
(fma.f64 #s(literal 2 binary64) x (-.f64 (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))))
(fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))
(fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) (.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))
(fma.f64 x #s(literal 2 binary64) (-.f64 (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) #s(literal 0 binary64)))
(fma.f64 x #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))))
(fma.f64 x #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))
(fma.f64 x #s(literal 2 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))) (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))) (/.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) #s(literal 0 binary64))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))))))
(-.f64 (+.f64 (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (pow.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 (+.f64 (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64)))) #s(literal -2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64)))) #s(literal -2 binary64)) (-.f64 (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) (.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) (*.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))
(-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))
(-.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) #s(literal 0 binary64))
(-.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))
(+.f64 (+.f64 (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 (+.f64 (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)))
(+.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) #s(literal 1 binary64))
(+.f64 (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) (.f64 #s(literal 2 binary64) x))
(+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))
(+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))
(+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))))
(+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) #s(literal 0 binary64))
(+.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))))
(+.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))
(+.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64)))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64) (/.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))))

eval136.0ms (0.7%)

Memory: -49.8MiB live, 100.6MiB allocated
Compiler: Compiled 33 467 to 3 730 computations (88.9% saved)

prune38.0ms (0.2%)

Memory

43.7MiB live, 43.7MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	849	19	868
Fresh	6	3	9
Picked	3	2	5
Done	0	0	0
Total	858	24	882

Accuracy

99.5%

Counts

882 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.2%	(.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) #s(literal 1/2 binary64))
	1.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))))
	1.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (sqrt.f64 (PI.f64))))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64)))))
	5.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(approx ( (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) x) (PI.f64)) x) #s(literal 4/3 binary64) #s(literal -2 binary64)) x))))
	67.2%	(.f64 (+.f64 #s(approx (/ (sin ( (PI) (+ (* x 2) -1))) (PI)) (.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) x)) x #s(literal -2 binary64)) x)) (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64))
	98.4%	(.f64 #s(approx (+ (/ (sin ( (PI) (+ (* x 2) -1))) (PI)) (- (* x 2) 0)) (.f64 (.f64 (.f64 #s(literal 4/3 binary64) (.f64 (*.f64 (PI.f64) (PI.f64)) x)) x) x)) #s(literal 1/2 binary64))
	10.5%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (sin.f64 (.f64 (.f64 #s(literal -2 binary64) x) (PI.f64))) x))
	97.8%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))
	98.1%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
	98.4%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (*.f64 #s(literal 2/3 binary64) x)) (PI.f64)) x) x))
	98.4%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 2/3 binary64) x)) (*.f64 (PI.f64) (PI.f64))))
	98.4%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 (.f64 x x) (PI.f64)) (.f64 (PI.f64) (*.f64 #s(literal 2/3 binary64) x))))
	98.1%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 #s(literal 2/3 binary64) x) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (PI.f64))))
	97.8%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 2/3 binary64) x)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))))
	98.1%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 2/3 binary64) x)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
	98.4%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (*.f64 (PI.f64) x) #s(literal 2/3 binary64)) (PI.f64))))
	98.3%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) x) (PI.f64))))
✓	98.3%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))))
	98.3%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (PI.f64) x) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
	98.4%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 (PI.f64) (PI.f64))))))
	98.4%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 #s(literal 2/3 binary64) x) (pow.f64 (*.f64 (PI.f64) x) #s(literal 2 binary64))))
	96.1%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))))
	98.4%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) #s(approx (* (* x x) (* (* (* x 2/3) (PI)) (PI))) (.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))))
✓	66.0%	#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) #s(literal 0 binary64))

Compiler

Compiled 2 049 to 773 computations (62.3% saved)

regimes31.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) #s(literal 0 binary64))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 (PI.f64) (PI.f64))))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (PI.f64) x) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) x) (PI.f64))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (*.f64 (PI.f64) x) #s(literal 2/3 binary64)) (PI.f64))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 (.f64 x x) (PI.f64)) (.f64 (PI.f64) (*.f64 #s(literal 2/3 binary64) x))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 2/3 binary64) x)) (*.f64 (PI.f64) (PI.f64))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (*.f64 #s(literal 2/3 binary64) x)) (PI.f64)) x) x))
(.f64 #s(approx (+ (/ (sin ( (PI) (+ (* x 2) -1))) (PI)) (- (* x 2) 0)) (.f64 (.f64 (.f64 #s(literal 4/3 binary64) (.f64 (*.f64 (PI.f64) (PI.f64)) x)) x) x)) #s(literal 1/2 binary64))
(.f64 (+.f64 #s(approx (/ (sin ( (PI) (+ (* x 2) -1))) (PI)) (.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) x)) x #s(literal -2 binary64)) x)) (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 2/3 binary64) x)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 #s(literal 2/3 binary64) x) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(approx ( (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) x) (PI.f64)) x) #s(literal 4/3 binary64) #s(literal -2 binary64)) x))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) #s(approx (* (* x x) (* (* (* x 2/3) (PI)) (PI))) (.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 #s(literal 2/3 binary64) x) (pow.f64 (*.f64 (PI.f64) x) #s(literal 2 binary64))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (sin.f64 (.f64 (.f64 #s(literal -2 binary64) x) (PI.f64))) x))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) x))
(.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (PI.f64))) (PI.f64))) #s(literal 1/2 binary64))
(.f64 (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1/2 binary64)) (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))))
(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (PI.f64) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (PI.f64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 2/3 binary64) x)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (PI.f64)))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (sin.f64 (.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))) (sqrt.f64 (PI.f64))))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64)))))

Outputs
(.f64 #s(approx (+ (/ (sin ( (PI) (+ (* x 2) -1))) (PI)) (- (* x 2) 0)) (.f64 (.f64 (.f64 #s(literal 4/3 binary64) (.f64 (*.f64 (PI.f64) (PI.f64)) x)) x) x)) #s(literal 1/2 binary64))

Calls

5 calls:

7.0ms	x
6.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
5.0ms	(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))
5.0ms	(-.f64 x #s(literal 1/2 binary64))
5.0ms	(/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))`
98.4%	1	`(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))`
98.4%	1	`(/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))`
98.4%	1	`(-.f64 x #s(literal 1/2 binary64))`

Compiler

Compiled 53 to 35 computations (34% saved)

regimes11.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) #s(literal 0 binary64))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 (PI.f64) (PI.f64))))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (PI.f64) x) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (*.f64 x #s(literal 2/3 binary64)) (PI.f64)) (PI.f64))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) x) (PI.f64))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 (.f64 (*.f64 (PI.f64) x) #s(literal 2/3 binary64)) (PI.f64))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 (.f64 x x) (PI.f64)) (.f64 (PI.f64) (*.f64 #s(literal 2/3 binary64) x))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 2/3 binary64) x)) (*.f64 (PI.f64) (PI.f64))))
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (*.f64 #s(literal 2/3 binary64) x)) (PI.f64)) x) x))

Outputs
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (.f64 (.f64 x x) (.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 (PI.f64) (PI.f64))))))

Calls

5 calls:

2.0ms	x
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
2.0ms	(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))
2.0ms	(-.f64 x #s(literal 1/2 binary64))
2.0ms	(/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))`
98.4%	1	`(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))`
98.4%	1	`(/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))`
98.4%	1	`(-.f64 x #s(literal 1/2 binary64))`

Compiler

Compiled 53 to 35 computations (34% saved)

regimes39.0ms (0.2%)

Memory

-137.2MiB live, 11.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) #s(literal 0 binary64))

Outputs
#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) #s(literal 0 binary64))

Calls

5 calls:

33.0ms	(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))
1.0ms	x
1.0ms	(/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
1.0ms	(-.f64 x #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
66.0%	1	`x`
66.0%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64))))))`
66.0%	1	`(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sin.f64 (.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (PI.f64)))))`
66.0%	1	`(/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))`
66.0%	1	`(-.f64 x #s(literal 1/2 binary64))`

Compiler

Compiled 53 to 35 computations (34% saved)

simplify44.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	40	86
1	78	82
2	177	78
3	511	74
4	948	74
5	1676	70
6	4514	70

Stop Event

1×	node limit

Calls

Call 1

Inputs

(*.f64 #s(approx (+ (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (* x 2) 0)) (*.f64 (*.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) x)) x) x)) #s(literal 1/2 binary64))

#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (*.f64 (*.f64 x x) (*.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 (PI.f64) (PI.f64))))))

#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) #s(literal 0 binary64))

Outputs

(*.f64 #s(approx (+ (/ (sin (* (PI) (+ (* x 2) -1))) (PI)) (- (* x 2) 0)) (*.f64 (*.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) x)) x) x)) #s(literal 1/2 binary64))

#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) (*.f64 (*.f64 x x) (*.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 (PI.f64) (PI.f64))))))

#s(approx (* (/ 1 2) (+ (+ 1 (/ (- x 1/2) 1/2)) (* (/ 1 (PI)) (sin (* (/ (- x 1/2) 1/2) (PI)))))) #s(literal 0 binary64))

soundness1.4s (7%)

Memory

23.0MiB live, 23.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	304
0	88	237
1	359	215
2	3402	215
0	8647	202
0	108	330
1	336	315
2	1003	225
3	3278	169
0	8637	155
0	201	619
1	622	601
2	1725	502
3	3898	405
4	7981	405
0	8002	376
0	15	70
0	28	70
1	120	58
2	949	58
0	8142	54

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×	node limit
1×	iter limit

Compiler

Compiled 175 to 83 computations (52.6% saved)

preprocess19.0ms (0.1%)

Memory: 14.1MiB live, 14.1MiB allocated
Compiler: Compiled 232 to 114 computations (50.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

(1 / 2) * (1 + (x - 0.5) / 0.5 + (1 / PI) * sin((x - 0.5) / 0.5 * PI))

start0.0ms (0%)

analyze1.0ms (0%)

sample12.9s (66.2%)

explain1.1s (5.7%)

preprocess190.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify191.0ms (1%)

localize274.0ms (1.4%)

series6.0ms (0%)

simplify1.6s (8.3%)

rewrite163.0ms (0.8%)

eval74.0ms (0.4%)

prune20.0ms (0.1%)

simplify174.0ms (0.9%)

localize761.0ms (3.9%)

series17.0ms (0.1%)

simplify80.0ms (0.4%)

rewrite212.0ms (1.1%)

eval136.0ms (0.7%)

prune38.0ms (0.2%)

regimes31.0ms (0.2%)

regimes11.0ms (0.1%)

regimes39.0ms (0.2%)

simplify44.0ms (0.2%)

soundness1.4s (7%)

preprocess19.0ms (0.1%)

end0.0ms (0%)

Profiling