Metrics for Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze417.0ms (5.5%)

Memory

22.5MiB live, 544.0MiB allocated; 127ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample1.7s (22.1%)

Memory

34.1MiB live, 2 209.6MiB allocated; 541ms collecting garbage

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-sin: 492.0ms (47% of total)

ival-div: 288.0ms (27.5% of total)

ival-mult: 245.0ms (23.4% of total)

exact: 11.0ms (1.1% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

explain207.0ms (2.7%)

Memory

19.4MiB live, 255.3MiB allocated; 44ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
61	0	-	-	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
0	0	-	-	`(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`
0	133	(6.919139504972803e+201)	-	`(sin.f64 (*.f64 x #s(literal 1/2 binary64)))`
0	0	-	-	`#s(literal 8 binary64)`
0	0	-	-	`#s(literal 3 binary64)`
0	0	-	-	`(*.f64 x #s(literal 1/2 binary64))`
0	0	-	-	`(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`
0	0	-	-	`(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))`
0	0	-	-	`(sin.f64 x)`
0	0	-	-	`#s(literal 1/2 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (*.f64 x #s(literal 1/2 binary64)))`	sensitivity	133	0
`/.f64`	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`	u/n	61	0
↳	`(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`	underflow	61

Confusion

	Predicted +	Predicted -
+	61	0
-	133	62

Precision

0.31443298969072164

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	61	0	0
-	133	0	62

Precision?

0.31443298969072164

Recall?

1.0

Freqs

test

number	freq
0	62
1	194

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms

512×

valid

Compiler

Compiled 126 to 37 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-div: 26.0ms (44.2% of total)

ival-sin: 22.0ms (37.4% of total)

ival-mult: 9.0ms (15.3% of total)

exact: 1.0ms (1.7% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess185.0ms (2.4%)

Memory

-2.4MiB live, 139.5MiB allocated; 34ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	29	29
2	87	28
3	276	28
4	544	28
5	1120	28
6	2476	28
7	5113	28
0	11	14
0	19	14
1	26	14
2	40	14
3	83	14
4	186	14
5	397	14
6	816	14
7	1829	14
8	4532	14
0	8173	14

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Outputs

(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

(*.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal -1/2 binary64) x)))

Symmetry

(negabs x)

Compiler

Compiled 16 to 11 computations (31.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.3%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify122.0ms (1.6%)

Memory

-7.5MiB live, 83.6MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
cost-diff	0	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
cost-diff	2	(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	19	45
1	26	45
2	40	45
3	83	45
4	186	45
5	397	45
6	816	45
7	1829	45
8	4532	45
0	8173	45

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)

Outputs
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (.f64 #s(literal -1/2 binary64) x)))
(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal -8/3 binary64) (sin.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 #s(literal -8/3 binary64) (sin.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8/3 binary64)
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(sin.f64 x)

localize50.0ms (0.7%)

Memory

11.2MiB live, 56.5MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 x)
accuracy	0.1875	(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
accuracy	0.36328125	(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
accuracy	14.383837214617671	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Samples

42.0ms

256×

valid

Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sin: 25.0ms (73% of total)

ival-div: 4.0ms (11.7% of total)

ival-mult: 4.0ms (11.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

5 → 20

Calls

Call 1

Inputs
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(sin.f64 x)

Outputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(sin x)

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x))
2.0ms	x	@	inf	((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x))
1.0ms	x	@	0	((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x))

Time

Variable

Point

Expression

2.0ms

-inf

((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x))

2.0ms

inf

((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x))

1.0ms

((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x))

simplify201.0ms (2.6%)

Memory

-42.8MiB live, 254.8MiB allocated; 44ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	225
1	292	225
2	833	219
3	3515	219
0	8076	201

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(sin x)

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(* 2/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64))) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))
(* 4/3 x)
(*.f64 #s(literal 4/3 binary64) x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/241920 binary64) (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/18 binary64))) (*.f64 #s(literal 4/3 binary64) x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(sin x)
(sin.f64 x)

rewrite48.0ms (0.6%)

Memory

20.7MiB live, 114.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
0	19	34
1	29	28
2	81	28
0	360	28

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

5 → 41

Calls

Call 1

Inputs
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(sin.f64 x)

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

eval7.0ms (0.1%)

Memory: 25.6MiB live, 25.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 133 to 229 computations (79.8% saved)

prune27.0ms (0.4%)

Memory

-1.9MiB live, 46.4MiB allocated; 6ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	49	11	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	11	61

Accuracy

99.6%

Counts

61 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.8%	(/.f64 (/.f64 (.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) (sin.f64 x))
▶	77.3%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
	77.3%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	26.6%	(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
▶	27.2%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
	77.2%	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
▶	77.2%	(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
▶	99.2%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
	99.2%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
	48.3%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
▶	48.7%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 352 to 270 computations (23.3% saved)

simplify246.0ms (3.2%)

Memory

24.9MiB live, 281.2MiB allocated; 54ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
cost-diff	0	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
cost-diff	0	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
cost-diff	0	(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))
cost-diff	0	(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 2/3 binary64))
cost-diff	0	#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
cost-diff	0	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
cost-diff	0	(*.f64 #s(literal 2/3 binary64) x)
cost-diff	0	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
cost-diff	3	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	188
0	46	176
1	77	176
2	116	176
3	197	176
4	333	176
5	566	176
6	1084	176
7	2168	176
8	5025	176
0	8163	176

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sin.f64 x)
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
#s(literal 8/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 2/3 binary64)
(sin.f64 x)
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
(sin.f64 x)
#s(literal 8/3 binary64)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
#s(literal 8/3 binary64)
(sin.f64 x)

Outputs
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(sin.f64 x)
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(.f64 #s(literal -8/3 binary64) (sin.f64 (.f64 #s(literal -1/2 binary64) x)))
#s(literal 8/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 2/3 binary64)
(sin.f64 x)
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
(sin.f64 x)
#s(literal 8/3 binary64)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
#s(literal 8/3 binary64)
(sin.f64 x)

localize129.0ms (1.7%)

Memory

1.9MiB live, 239.3MiB allocated; 63ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 x)
accuracy	0.26171875	(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
accuracy	0.27734375	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
accuracy	14.383837214617671	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
accuracy	0.0	(sin.f64 x)
accuracy	0.26171875	(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
accuracy	0.4140625	(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
accuracy	14.339912839804702	(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))
accuracy	0.0	(sin.f64 x)
accuracy	0.19140625	(.f64 (.f64 x x) #s(literal 2/3 binary64))
accuracy	14.383837214617671	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
accuracy	32.3255545228709	#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
accuracy	0.36328125	(*.f64 #s(literal 2/3 binary64) x)
accuracy	32.63392951078384	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
accuracy	0.0	(sin.f64 x)
accuracy	0.171875	(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
accuracy	0.23046875	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
accuracy	0.36328125	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))

Samples

83.0ms

256×

valid

Compiler

Compiled 180 to 29 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 21.0ms (32.9% of total)

ival-sin: 17.0ms (26.6% of total)

const: 14.0ms (21.9% of total)

ival-div: 8.0ms (12.5% of total)

ival-pow2: 2.0ms (3.1% of total)

exact: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

series49.0ms (0.6%)

Memory

-38.8MiB live, 29.3MiB allocated; 42ms collecting garbage

Counts

17 → 41

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(sin.f64 x)

Outputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(pow x 2)
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(pow (sin (* 1/2 x)) 2)
(* 8/3 (sin (* 1/2 x)))
(sin x)

Calls

3 calls:

Time	Variable		Point	Expression
43.0ms	x	@	-inf	((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (* (sin (* 1/2 x)) 8/3) (sin x))
4.0ms	x	@	inf	((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (* (sin (* 1/2 x)) 8/3) (sin x))
2.0ms	x	@	0	((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (* (sin (* 1/2 x)) 8/3) (sin x))

Time

Variable

Point

Expression

43.0ms

-inf

((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (* (sin (* 1/2 x)) 8/3) (sin x))

4.0ms

inf

((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (* (sin (* 1/2 x)) 8/3) (sin x))

2.0ms

((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (* (sin (* 1/2 x)) 8/3) (sin x))

simplify191.0ms (2.5%)

Memory

-2.3MiB live, 231.3MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	446
1	552	446
2	1638	440
3	4344	440
0	8010	402

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 40

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(pow x 2)
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(pow (sin (* 1/2 x)) 2)
(* 8/3 (sin (* 1/2 x)))
(sin x)

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/16 (pow x 2)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 5/768 binary64) (.f64 x x) #s(literal 1/16 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (.f64 x x) #s(literal 5/768 binary64)) (*.f64 x x) #s(literal 1/16 binary64)) x) x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/645120 binary64) (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 x x)) #s(literal 1/48 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(* 2/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64))) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
(* 1/4 (pow x 2))
(.f64 (.f64 #s(literal 1/4 binary64) x) x)
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64))) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
(* 4/3 x)
(*.f64 #s(literal 4/3 binary64) x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/241920 binary64) (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/18 binary64))) (*.f64 #s(literal 4/3 binary64) x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(sin x)
(sin.f64 x)

rewrite61.0ms (0.8%)

Memory

10.3MiB live, 104.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	147
0	46	135
1	95	135
2	218	135
0	900	135

Stop Event

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

Counts

17 → 231

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(sin.f64 x)

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

eval100.0ms (1.3%)

Memory: 2.5MiB live, 140.2MiB allocated; 17ms collecting garbage
Compiler: Compiled 7 258 to 1 092 computations (85% saved)

prune39.0ms (0.5%)

Memory

-7.0MiB live, 94.1MiB allocated; 10ms collecting garbage

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	348	21	369
Fresh	2	4	6
Picked	2	3	5
Done	0	0	0
Total	352	28	380

Accuracy

99.8%

Counts

380 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.5%	(/.f64 (.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
▶	6.2%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
✓	77.3%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
	54.7%	(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x))
	54.8%	(/.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
	54.8%	(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
	24.9%	(/.f64 (.f64 (+.f64 (sinh.f64 (.f64 (log.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal 8/3 binary64)) (sin.f64 x))
	77.3%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	47.7%	(/.f64 (.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
	26.6%	(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
✓	27.2%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
	5.4%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶	26.0%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)))
	26.1%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
	27.2%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x))
	77.2%	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	71.5%	(.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
	54.5%	(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)) #s(literal 8/3 binary64))
	54.8%	(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
	71.6%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (.f64 #s(literal 8/3 binary64) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))))
	48.6%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
	27.2%	(.f64 (/.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 (.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64))
	54.7%	(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
▶	99.2%	(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
	99.2%	(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
	52.3%	(.f64 #s(approx (/ (sin ( 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
▶	48.3%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓	48.7%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 1 027 to 743 computations (27.7% saved)

simplify146.0ms (1.9%)

Memory

35.1MiB live, 167.0MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff	0	(.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
cost-diff	0	(/.f64 (.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
cost-diff	3	(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
cost-diff	0	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
cost-diff	0	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
cost-diff	1	(+.f64 (neg.f64 x) (PI.f64))
cost-diff	2	(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 2/3 binary64))
cost-diff	0	#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
cost-diff	0	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
cost-diff	0	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
cost-diff	0	(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
cost-diff	0	(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
cost-diff	3	(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	49	303
0	82	270
1	129	270
2	267	270
3	712	270
4	1716	270
5	2394	270
6	3227	270
7	5550	269
0	8242	269

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 8/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 2/3 binary64)
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
#s(literal 8/3 binary64)
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(+.f64 (neg.f64 x) (PI.f64))
(neg.f64 x)
(PI.f64)
(/.f64 (.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 8/3 binary64)
(sin.f64 x)

Outputs
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 8/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 #s(literal 2/3 binary64) (.f64 x x))) #s(approx (sin x) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 #s(literal 2/3 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 2/3 binary64)
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (sin x) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
#s(literal 8/3 binary64)
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(sin.f64 x)
(+.f64 (neg.f64 x) (PI.f64))
(-.f64 (PI.f64) x)
(neg.f64 x)
(PI.f64)
(/.f64 (.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 8/3 binary64)
(sin.f64 x)

localize501.0ms (6.6%)

Memory

-47.1MiB live, 789.6MiB allocated; 245ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy	0.1640625	(.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
accuracy	0.3203125	(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
accuracy	14.286180964617671	(/.f64 (.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
accuracy	0.1640625	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
accuracy	14.286180964617671	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
accuracy	17.194893873218973	(PI.f64)
accuracy	43.763841011848186	(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
accuracy	0.14453125	(.f64 (.f64 x x) #s(literal 2/3 binary64))
accuracy	14.286180964617671	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)))
accuracy	15.351896669307303	#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
accuracy	15.669773960645061	#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.053066259768442016	(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
accuracy	0.19921875	(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
accuracy	15.633910855730962	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
accuracy	0.0	(sin.f64 x)
accuracy	0.078125	(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy	0.08203125	(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
accuracy	0.28125	(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))

Samples

176.0ms	129×	1	valid
142.0ms	55×	2	valid
49.0ms	71×	0	invalid
0.0ms	1×	0	valid

Compiler

Compiled 267 to 46 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 329.0ms

ival-sin: 100.0ms (30.4% of total)

ival-mult: 98.0ms (29.8% of total)

ival-add: 43.0ms (13.1% of total)

const: 30.0ms (9.1% of total)

adjust: 21.0ms (6.4% of total)

ival-pow2: 13.0ms (3.9% of total)

ival-div: 12.0ms (3.6% of total)

ival-pow: 4.0ms (1.2% of total)

ival-sqrt: 3.0ms (0.9% of total)

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

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

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series10.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Counts

22 → 59

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(+.f64 (neg.f64 x) (PI.f64))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(sin.f64 x)
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
(PI.f64)

Outputs
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(pow x 2)
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(sin (PI))
(+ (sin (PI)) (* -1 (* x (cos (PI)))))
(+ (sin (PI)) (* x (+ (* -1 (cos (PI))) (* -1/2 (* x (sin (PI)))))))
(+ (sin (PI)) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (sin (PI))) (* 1/6 (* x (cos (PI)))))))))
(PI)
(+ (PI) (* -1 x))
(* 2/3 (/ (pow x 2) (sin (PI))))
(* (pow x 2) (+ (* 2/3 (/ (* x (cos (PI))) (pow (sin (PI)) 2))) (* 2/3 (/ 1 (sin (PI))))))
(* (pow x 2) (+ (* x (+ (* 2/3 (/ (cos (PI)) (pow (sin (PI)) 2))) (* 8/3 (* x (- (* 1/8 (/ 1 (sin (PI)))) (+ (* -1/4 (/ (pow (cos (PI)) 2) (pow (sin (PI)) 3))) (* 1/48 (/ 1 (sin (PI)))))))))) (* 2/3 (/ 1 (sin (PI))))))
(* (pow x 2) (+ (* x (+ (* 2/3 (/ (cos (PI)) (pow (sin (PI)) 2))) (* x (+ (* -8/3 (* x (+ (* -1 (/ (* (cos (PI)) (- (* 1/8 (/ 1 (sin (PI)))) (+ (* -1/4 (/ (pow (cos (PI)) 2) (pow (sin (PI)) 3))) (* 1/48 (/ 1 (sin (PI))))))) (sin (PI)))) (+ (* -1/8 (/ (cos (PI)) (pow (sin (PI)) 2))) (* 1/24 (/ (cos (PI)) (pow (sin (PI)) 2))))))) (* 8/3 (- (* 1/8 (/ 1 (sin (PI)))) (+ (* -1/4 (/ (pow (cos (PI)) 2) (pow (sin (PI)) 3))) (* 1/48 (/ 1 (sin (PI))))))))))) (* 2/3 (/ 1 (sin (PI))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(sin (- (PI) x))
(* -1 x)
(* x (- (/ (PI) x) 1))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin (- (PI) x))))
(pow (sin (* 1/2 x)) 2)
(sin x)
(sin (+ (PI) (* -1 x)))
(* -1 (* x (+ 1 (* -1 (/ (PI) x)))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin (+ (PI) (* -1 x)))))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (sin (+ (neg x) (PI))) (+ (neg x) (PI)) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sqrt (sin (* x 1/2))) 2) (/ (* (pow (pow (sqrt (sin (* x 1/2))) 2) 2) 8/3) (sin x)) (* (pow (pow (sqrt (sin (* x 1/2))) 2) 2) 8/3) (pow (pow (sqrt (sin (* x 1/2))) 2) 2) (sin x) (sin x) (PI))

3.0ms

inf

((* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (sin (+ (neg x) (PI))) (+ (neg x) (PI)) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sqrt (sin (* x 1/2))) 2) (/ (* (pow (pow (sqrt (sin (* x 1/2))) 2) 2) 8/3) (sin x)) (* (pow (pow (sqrt (sin (* x 1/2))) 2) 2) 8/3) (pow (pow (sqrt (sin (* x 1/2))) 2) 2) (sin x) (sin x) (PI))

3.0ms

((* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (sin (+ (neg x) (PI))) (+ (neg x) (PI)) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sqrt (sin (* x 1/2))) 2) (/ (* (pow (pow (sqrt (sin (* x 1/2))) 2) 2) 8/3) (sin x)) (* (pow (pow (sqrt (sin (* x 1/2))) 2) 2) 8/3) (pow (pow (sqrt (sin (* x 1/2))) 2) 2) (sin x) (sin x) (PI))

simplify163.0ms (2.1%)

Memory

23.2MiB live, 215.0MiB allocated; 51ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	603
1	852	562
2	2729	552
3	7150	546
0	8468	503

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 58

Calls

Call 1

Inputs
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(pow x 2)
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(sin (PI))
(+ (sin (PI)) (* -1 (* x (cos (PI)))))
(+ (sin (PI)) (* x (+ (* -1 (cos (PI))) (* -1/2 (* x (sin (PI)))))))
(+ (sin (PI)) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (sin (PI))) (* 1/6 (* x (cos (PI)))))))))
(PI)
(+ (PI) (* -1 x))
(* 2/3 (/ (pow x 2) (sin (PI))))
(* (pow x 2) (+ (* 2/3 (/ (* x (cos (PI))) (pow (sin (PI)) 2))) (* 2/3 (/ 1 (sin (PI))))))
(* (pow x 2) (+ (* x (+ (* 2/3 (/ (cos (PI)) (pow (sin (PI)) 2))) (* 8/3 (* x (- (* 1/8 (/ 1 (sin (PI)))) (+ (* -1/4 (/ (pow (cos (PI)) 2) (pow (sin (PI)) 3))) (* 1/48 (/ 1 (sin (PI)))))))))) (* 2/3 (/ 1 (sin (PI))))))
(* (pow x 2) (+ (* x (+ (* 2/3 (/ (cos (PI)) (pow (sin (PI)) 2))) (* x (+ (* -8/3 (* x (+ (* -1 (/ (* (cos (PI)) (- (* 1/8 (/ 1 (sin (PI)))) (+ (* -1/4 (/ (pow (cos (PI)) 2) (pow (sin (PI)) 3))) (* 1/48 (/ 1 (sin (PI))))))) (sin (PI)))) (+ (* -1/8 (/ (cos (PI)) (pow (sin (PI)) 2))) (* 1/24 (/ (cos (PI)) (pow (sin (PI)) 2))))))) (* 8/3 (- (* 1/8 (/ 1 (sin (PI)))) (+ (* -1/4 (/ (pow (cos (PI)) 2) (pow (sin (PI)) 3))) (* 1/48 (/ 1 (sin (PI))))))))))) (* 2/3 (/ 1 (sin (PI))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(sin (- (PI) x))
(* -1 x)
(* x (- (/ (PI) x) 1))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin (- (PI) x))))
(pow (sin (* 1/2 x)) 2)
(sin x)
(sin (+ (PI) (* -1 x)))
(* -1 (* x (+ 1 (* -1 (/ (PI) x)))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin (+ (PI) (* -1 x)))))

Outputs
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/16 (pow x 2)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 5/768 binary64) (.f64 x x) #s(literal 1/16 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (.f64 x x) #s(literal 5/768 binary64)) (.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/645120 binary64) (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 x x)) #s(literal 1/48 binary64))) (*.f64 #s(literal 1/2 binary64) x))
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* 1/18 (pow x 2)))
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(pow x 2)
(*.f64 x x)
(* 2/3 (pow x 2))
(.f64 (.f64 #s(literal 2/3 binary64) x) x)
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64))) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))
(sin (PI))
#s(literal 0 binary64)
(+ (sin (PI)) (* -1 (* x (cos (PI)))))
x
(+ (sin (PI)) (* x (+ (* -1 (cos (PI))) (* -1/2 (* x (sin (PI)))))))
x
(+ (sin (PI)) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (sin (PI))) (* 1/6 (* x (cos (PI)))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(PI)
(PI.f64)
(+ (PI) (* -1 x))
(-.f64 (PI.f64) x)
(* 2/3 (/ (pow x 2) (sin (PI))))
(.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x)
(* (pow x 2) (+ (* 2/3 (/ (* x (cos (PI))) (pow (sin (PI)) 2))) (* 2/3 (/ 1 (sin (PI))))))
(.f64 (.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 2/3 binary64)) #s(literal 0 binary64)) x) x)
(* (pow x 2) (+ (* x (+ (* 2/3 (/ (cos (PI)) (pow (sin (PI)) 2))) (* 8/3 (* x (- (* 1/8 (/ 1 (sin (PI)))) (+ (* -1/4 (/ (pow (cos (PI)) 2) (pow (sin (PI)) 3))) (* 1/48 (/ 1 (sin (PI)))))))))) (* 2/3 (/ 1 (sin (PI))))))
(.f64 (fma.f64 (.f64 x (.f64 #s(literal 8/3 binary64) x)) (/.f64 #s(literal -7/48 binary64) #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 2/3 binary64)) #s(literal 0 binary64))) (.f64 x x))
(* (pow x 2) (+ (* x (+ (* 2/3 (/ (cos (PI)) (pow (sin (PI)) 2))) (* x (+ (* -8/3 (* x (+ (* -1 (/ (* (cos (PI)) (- (* 1/8 (/ 1 (sin (PI)))) (+ (* -1/4 (/ (pow (cos (PI)) 2) (pow (sin (PI)) 3))) (* 1/48 (/ 1 (sin (PI))))))) (sin (PI)))) (+ (* -1/8 (/ (cos (PI)) (pow (sin (PI)) 2))) (* 1/24 (/ (cos (PI)) (pow (sin (PI)) 2))))))) (* 8/3 (- (* 1/8 (/ 1 (sin (PI)))) (+ (* -1/4 (/ (pow (cos (PI)) 2) (pow (sin (PI)) 3))) (* 1/48 (/ 1 (sin (PI))))))))))) (* 2/3 (/ 1 (sin (PI))))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -8/3 binary64) (-.f64 (.f64 (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -7/48 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) x) (/.f64 #s(literal -7/48 binary64) #s(literal 0 binary64)))) x (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64))) x (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64))) x) x)
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64))) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x)
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 1/18 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(* 1/18 (pow x 2))
(.f64 #s(literal 1/18 binary64) (.f64 x x))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(sin (- (PI) x))
(sin.f64 x)
(* -1 x)
(neg.f64 x)
(* x (- (/ (PI) x) 1))
(*.f64 (-.f64 (/.f64 (PI.f64) x) #s(literal 1 binary64)) x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin (- (PI) x))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin x)
(sin.f64 x)
(sin (+ (PI) (* -1 x)))
(sin.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (PI) x)))))
(fma.f64 (/.f64 (PI.f64) x) x (neg.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin (+ (PI) (* -1 x)))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))

rewrite220.0ms (2.9%)

Memory

-22.6MiB live, 258.6MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	222
0	82	189
1	242	189
2	1145	189
0	9116	189

Stop Event

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

Counts

22 → 629

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(+.f64 (neg.f64 x) (PI.f64))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(sin.f64 x)
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
(PI.f64)

Outputs
(.f64 (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))))
(neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) (sin.f64 x))))
(neg.f64 (.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (cosh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sinh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(fma.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (cosh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sinh.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (sin.f64 x)))
(+.f64 (.f64 (cosh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (.f64 (sinh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(+.f64 (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (cosh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))) (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sinh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (/.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sinh.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (sin.f64 x)))
(.f64 (.f64 (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))
(.f64 (.f64 (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (.f64 (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)) (neg.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))
(.f64 (.f64 (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)) (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/2 binary64))) (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (.f64 #s(literal -1/2 binary64) x)))
(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)))
(/.f64 (.f64 #s(literal -8/3 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1 binary64) x)))) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 8/3 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1 binary64) x)))) (*.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1 binary64) x))) #s(literal -8/3 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
(/.f64 (.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(neg.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))
(neg.f64 (.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 x))))
(neg.f64 (.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))))
(neg.f64 (.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 x)) (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (/.f64 (.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x)))
(fma.f64 (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (cosh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (.f64 (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sinh.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(fma.f64 (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)) (cosh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (.f64 (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)) (sinh.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(fma.f64 (cosh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (.f64 (sinh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))))
(fma.f64 (cosh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)) (.f64 (sinh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64))))
(fma.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (.f64 (sinh.f64 (.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (cosh.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sinh.f64 (.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (.f64 (cosh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) (.f64 (sinh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))))
(+.f64 (.f64 (cosh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64))) (.f64 (sinh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64))))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(+.f64 (.f64 (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (cosh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))) (.f64 (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sinh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (.f64 (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)) (cosh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))) (.f64 (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)) (sinh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))))
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(/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sin.f64 x)))
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(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
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(+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cosh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sinh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))))
(/.f64 (neg.f64 (+.f64 (sin.f64 x) (sin.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64))))
(/.f64 (+.f64 (sin.f64 x) (sin.f64 x)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) x) (.f64 x x)))) (cos.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) x) (.f64 x x)))) (.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) x) (.f64 x x)))) (sin.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) x) (*.f64 x x))))))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (PI.f64)))))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (PI.f64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)) #s(literal 0 binary64))
(sin.f64 (neg.f64 (+.f64 x (PI.f64))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 x)) (PI.f64))))
(sin.f64 (+.f64 (-.f64 x (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 x)) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (-.f64 (neg.f64 x) (PI.f64)))
(sin.f64 (+.f64 (PI.f64) (neg.f64 x)))
(sin.f64 x)
(-.f64 (.f64 (sin.f64 (/.f64 (.f64 (neg.f64 x) x) (+.f64 x (PI.f64)))) (cos.f64 (/.f64 (.f64 (neg.f64 (PI.f64)) (PI.f64)) (+.f64 x (PI.f64))))) (.f64 (cos.f64 (/.f64 (.f64 (neg.f64 x) x) (+.f64 x (PI.f64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (PI.f64)) (PI.f64)) (+.f64 x (PI.f64))))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 x) (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(-.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (PI.f64)))))
(-.f64 (sin.f64 x) #s(literal 0 binary64))
(cos.f64 (neg.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (-.f64 x (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 x (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 x)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (/.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (sin.f64 x) #s(literal 0 binary64)))) (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (sin.f64 x) #s(literal 0 binary64)))))
(+.f64 (.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) x) (.f64 x x)))) (cos.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) x) (.f64 x x))))) (.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) x) (.f64 x x)))) (sin.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) x) (.f64 x x))))))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(+.f64 (sin.f64 x) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) #s(literal 0 binary64)))
(+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (PI.f64)))))
(+.f64 (sin.f64 x) #s(literal 0 binary64))
#s(approx (sin x) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(neg.f64 (neg.f64 #s(approx (sin x) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (.f64 (neg.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (cbrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (cbrt.f64 (PI.f64)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (neg.f64 (PI.f64))) (sqrt.f64 (neg.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (pow.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (PI.f64))))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (PI.f64)))
(pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (log.f64 (PI.f64))) (cosh.f64 (log.f64 (PI.f64)))) (.f64 (sinh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64))))) (-.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (PI.f64))) (cosh.f64 (log.f64 (PI.f64))) (-.f64 (.f64 (sinh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))) (.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))))))
(neg.f64 (neg.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (neg.f64 (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(+.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64))))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)

eval196.0ms (2.6%)

Memory: -3.7MiB live, 382.6MiB allocated; 60ms collecting garbage
Compiler: Compiled 15 696 to 2 399 computations (84.7% saved)

prune83.0ms (1.1%)

Memory

-2.7MiB live, 105.2MiB allocated; 8ms collecting garbage

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	589	13	602
Fresh	4	16	20
Picked	2	3	5
Done	0	3	3
Total	595	35	630

Accuracy

100.0%

Counts

630 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.8%	(/.f64 (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) x (PI.f64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
	49.5%	(/.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
	54.8%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (PI.f64))))))
	6.2%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 #s(approx (+ (neg x) (PI)) (-.f64 (PI.f64) x))))
✓	77.3%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
	27.0%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin (+ (neg x) (PI))) x))
	54.7%	(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x))
	54.8%	(/.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
	54.8%	(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
	24.9%	(/.f64 (.f64 (+.f64 (sinh.f64 (.f64 (log.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal 8/3 binary64)) (sin.f64 x))
▶	47.7%	(/.f64 (.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
	26.6%	(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	25.7%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
▶	25.6%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
✓	27.2%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
	5.4%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓	26.0%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)))
	26.1%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
	27.2%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x))
	77.2%	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	54.5%	(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)) #s(literal 8/3 binary64))
	54.8%	(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
	48.6%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
	27.2%	(.f64 (/.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 (.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64))
	54.7%	(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
✓	99.2%	(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
	56.0%	(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/2 binary64)))
▶	99.2%	(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
	52.3%	(.f64 (.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
	99.2%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))
▶	1.5%	#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x))
▶	47.7%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
	47.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64))))
✓	48.3%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓	48.7%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 1 373 to 1 004 computations (26.9% saved)

simplify180.0ms (2.4%)

Memory

0.2MiB live, 229.8MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (log.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
cost-diff	0	(.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64))
cost-diff	0	(/.f64 (.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
cost-diff	2	(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x)
cost-diff	0	(/.f64 (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x)))))
cost-diff	0	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
cost-diff	1	(-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (.f64 x x)))
cost-diff	0	(.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
cost-diff	0	#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
cost-diff	0	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
cost-diff	0	(/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64))
cost-diff	0	(*.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x)
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x)
cost-diff	0	#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x))
cost-diff	0	(sin.f64 x)
cost-diff	0	(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
cost-diff	0	(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
cost-diff	3	(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	382
0	107	363
1	179	363
2	386	361
3	1139	361
4	3159	361
0	8261	357

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)
x
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x))
(.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x)
(*.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x)
(/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64))
#s(literal -2/3 binary64)
#s(literal 0 binary64)
x
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal -1/18 binary64)
(*.f64 x x)
x
#s(literal 2/3 binary64)
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x)))))
(*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x)
(fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))
#s(literal 1/5832 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 8/27 binary64)
(fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (.f64 x x))))
#s(literal 1/324 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (.f64 x x)))
#s(literal 4/9 binary64)
(.f64 #s(literal 1/27 binary64) (.f64 x x))
#s(literal 1/27 binary64)
(*.f64 x x)
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(.f64 (log.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 8/3 binary64)
(sin.f64 x)

Outputs
(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)
x
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (.f64 (.f64 (/.f64 #s(literal 2/3 binary64) #s(literal 0 binary64)) x) x))
(.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x)
(.f64 (.f64 (/.f64 #s(literal 2/3 binary64) #s(literal 0 binary64)) x) x)
(*.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x)
(*.f64 (/.f64 #s(literal 2/3 binary64) #s(literal 0 binary64)) x)
(/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 2/3 binary64) #s(literal 0 binary64))
#s(literal -2/3 binary64)
#s(literal 0 binary64)
x
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64))
#s(literal -1/18 binary64)
(*.f64 x x)
x
#s(literal 2/3 binary64)
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (sin x) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (fma.f64 #s(literal -1/27 binary64) (.f64 x x) #s(literal 4/9 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x)))))
(.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (fma.f64 #s(literal -1/27 binary64) (.f64 x x) #s(literal 4/9 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)))
(*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x)
(fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64))
#s(literal 1/5832 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 8/27 binary64)
(fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)))
#s(literal 1/324 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (.f64 x x)))
(fma.f64 #s(literal -1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64))
#s(literal 4/9 binary64)
(.f64 #s(literal 1/27 binary64) (.f64 x x))
#s(literal 1/27 binary64)
(*.f64 x x)
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(.f64 (log.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 8/3 binary64)
(sin.f64 x)

localize328.0ms (4.3%)

Memory

29.2MiB live, 411.4MiB allocated; 66ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.0	(sin.f64 x)
accuracy	0.0	(log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy	0.0	(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
accuracy	0.0	(*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(.f64 #s(literal 1/27 binary64) (.f64 x x))
accuracy	0.0	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(.f64 #s(literal 1/120 binary64) (.f64 x x))
accuracy	0.0	#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
accuracy	0.0	#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
accuracy	0.0	(/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64))
accuracy	0.0	(*.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x)
accuracy	0.0	(.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x)
accuracy	0.0	#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x))
accuracy	0.0	(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
accuracy	0.0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.0	(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.0	(sin.f64 x)

Samples

217.0ms

256×

invalid

Compiler

Compiled 321 to 68 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-mult: 74.0ms (39.3% of total)

ival-sin: 43.0ms (22.8% of total)

const: 35.0ms (18.6% of total)

ival-div: 9.0ms (4.8% of total)

ival-pow: 8.0ms (4.2% of total)

ival-add: 6.0ms (3.2% of total)

ival-exp: 3.0ms (1.6% of total)

ival-log: 3.0ms (1.6% of total)

ival-pow2: 3.0ms (1.6% of total)

ival-sub: 2.0ms (1.1% of total)

ival-pi: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

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

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

series115.0ms (1.5%)

Memory

-16.5MiB live, 126.6MiB allocated; 37ms collecting garbage

Counts

27 → 72

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(sin.f64 x)
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x))
(.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x)
(*.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x)
(/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (.f64 x x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x)))))
(*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x)
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64))
(.f64 (log.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(*.f64 x x)
(.f64 #s(literal 1/27 binary64) (.f64 x x))
(log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))

Outputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
4/3
(+ 4/3 (* 1/6 (pow x 2)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 2/3 (/ (pow x 2) (sin (PI))))
(* (pow x 2) (+ (* 2/3 (/ (* x (cos (PI))) (pow (sin (PI)) 2))) (* 2/3 (/ 1 (sin (PI))))))
(* (pow x 2) (+ (* x (+ (* 2/3 (/ (cos (PI)) (pow (sin (PI)) 2))) (* 8/3 (* x (- (* 1/8 (/ 1 (sin (PI)))) (+ (* -1/4 (/ (pow (cos (PI)) 2) (pow (sin (PI)) 3))) (* 1/48 (/ 1 (sin (PI)))))))))) (* 2/3 (/ 1 (sin (PI))))))
(* (pow x 2) (+ (* x (+ (* 2/3 (/ (cos (PI)) (pow (sin (PI)) 2))) (* x (+ (* -8/3 (* x (+ (* -1 (/ (* (cos (PI)) (- (* 1/8 (/ 1 (sin (PI)))) (+ (* -1/4 (/ (pow (cos (PI)) 2) (pow (sin (PI)) 3))) (* 1/48 (/ 1 (sin (PI))))))) (sin (PI)))) (+ (* -1/8 (/ (cos (PI)) (pow (sin (PI)) 2))) (* 1/24 (/ (cos (PI)) (pow (sin (PI)) 2))))))) (* 8/3 (- (* 1/8 (/ 1 (sin (PI)))) (+ (* -1/4 (/ (pow (cos (PI)) 2) (pow (sin (PI)) 3))) (* 1/48 (/ 1 (sin (PI))))))))))) (* 2/3 (/ 1 (sin (PI))))))
(* (pow x 2) (NAN))
(* x (NAN))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* x (+ 2/3 (* -1/18 (pow x 2))))
4/9
(+ 4/9 (* -1/27 (pow x 2)))
(* 8/27 x)
(* x (+ 8/27 (* 1/5832 (pow x 6))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(* 2 (+ (log 1/2) (log x)))
(+ (* -1/12 (pow x 2)) (* 2 (+ (log 1/2) (log x))))
(+ (* 2 (+ (log 1/2) (log x))) (* (pow x 2) (- (* -1/1440 (pow x 2)) 1/12)))
(+ (* 2 (+ (log 1/2) (log x))) (* (pow x 2) (- (* (pow x 2) (- (* -1/90720 (pow x 2)) 1/1440)) 1/12)))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(* 1/120 (pow x 2))
(pow x 2)
(* 1/27 (pow x 2))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* -1/24 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (- (* -1/2880 (pow x 2)) 1/24))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (- (* (pow x 2) (- (* -1/181440 (pow x 2)) 1/2880)) 1/24))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(/ 8/3 (sin x))
(sin x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin (- (PI) x))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* -1/18 (pow x 4))
(* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* -1/18 (pow x 3))
(* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* -1/27 (pow x 2))
(* (pow x 2) (- (* 4/9 (/ 1 (pow x 2))) 1/27))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/5832 (pow x 7))
(* (pow x 7) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))
(pow (sin (* 1/2 x)) 2)
(* 2 (log (sin (* 1/2 x))))
(sin (* 1/2 x))
(log (sin (* 1/2 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin (+ (PI) (* -1 x)))))
(* -1 (* (pow x 3) (- 1/18 (* 2/3 (/ 1 (pow x 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

56.0ms

inf

((* (* (/ 8/3 (sin x)) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8/3 (sin x)) (sin (* x 1/2))) (/ 8/3 (sin x)) (sin x) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (* (* (/ -2/3 0) x) x) (* (/ -2/3 0) x) (/ -2/3 0) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (* (+ (* -1/18 (* x x)) 2/3) x) (- 4/9 (* 1/27 (* x x))) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/ (* (+ (* 1/5832 (pow x 6)) 8/27) x) (+ (* 1/324 (pow x 4)) (- 4/9 (* 1/27 (* x x))))) (* (+ (* 1/5832 (pow x 6)) 8/27) x) (exp (* (log (sin (* x 1/2))) 2)) (/ (* (exp (* (log (sin (* x 1/2))) 2)) 8/3) (sin x)) (* (exp (* (log (sin (* x 1/2))) 2)) 8/3) (* (log (sin (* x 1/2))) 2) (sin (* x 1/2)) (* x 1/2) (sin x) (* 1/120 (* x x)) (* x x) (* 1/27 (* x x)) (log (sin (* x 1/2))))

44.0ms

-inf

((* (* (/ 8/3 (sin x)) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8/3 (sin x)) (sin (* x 1/2))) (/ 8/3 (sin x)) (sin x) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (* (* (/ -2/3 0) x) x) (* (/ -2/3 0) x) (/ -2/3 0) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (* (+ (* -1/18 (* x x)) 2/3) x) (- 4/9 (* 1/27 (* x x))) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/ (* (+ (* 1/5832 (pow x 6)) 8/27) x) (+ (* 1/324 (pow x 4)) (- 4/9 (* 1/27 (* x x))))) (* (+ (* 1/5832 (pow x 6)) 8/27) x) (exp (* (log (sin (* x 1/2))) 2)) (/ (* (exp (* (log (sin (* x 1/2))) 2)) 8/3) (sin x)) (* (exp (* (log (sin (* x 1/2))) 2)) 8/3) (* (log (sin (* x 1/2))) 2) (sin (* x 1/2)) (* x 1/2) (sin x) (* 1/120 (* x x)) (* x x) (* 1/27 (* x x)) (log (sin (* x 1/2))))

12.0ms

((* (* (/ 8/3 (sin x)) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8/3 (sin x)) (sin (* x 1/2))) (/ 8/3 (sin x)) (sin x) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (* (* (/ -2/3 0) x) x) (* (/ -2/3 0) x) (/ -2/3 0) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (* (+ (* -1/18 (* x x)) 2/3) x) (- 4/9 (* 1/27 (* x x))) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/ (* (+ (* 1/5832 (pow x 6)) 8/27) x) (+ (* 1/324 (pow x 4)) (- 4/9 (* 1/27 (* x x))))) (* (+ (* 1/5832 (pow x 6)) 8/27) x) (exp (* (log (sin (* x 1/2))) 2)) (/ (* (exp (* (log (sin (* x 1/2))) 2)) 8/3) (sin x)) (* (exp (* (log (sin (* x 1/2))) 2)) 8/3) (* (log (sin (* x 1/2))) 2) (sin (* x 1/2)) (* x 1/2) (sin x) (* 1/120 (* x x)) (* x x) (* 1/27 (* x x)) (log (sin (* x 1/2))))

simplify214.0ms (2.8%)

Memory

9.2MiB live, 200.3MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	788
1	904	761
2	2758	752
3	7882	746
0	8498	698

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
4/3
(+ 4/3 (* 1/6 (pow x 2)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 2/3 (/ (pow x 2) (sin (PI))))
(* (pow x 2) (+ (* 2/3 (/ (* x (cos (PI))) (pow (sin (PI)) 2))) (* 2/3 (/ 1 (sin (PI))))))
(* (pow x 2) (+ (* x (+ (* 2/3 (/ (cos (PI)) (pow (sin (PI)) 2))) (* 8/3 (* x (- (* 1/8 (/ 1 (sin (PI)))) (+ (* -1/4 (/ (pow (cos (PI)) 2) (pow (sin (PI)) 3))) (* 1/48 (/ 1 (sin (PI)))))))))) (* 2/3 (/ 1 (sin (PI))))))
(* (pow x 2) (+ (* x (+ (* 2/3 (/ (cos (PI)) (pow (sin (PI)) 2))) (* x (+ (* -8/3 (* x (+ (* -1 (/ (* (cos (PI)) (- (* 1/8 (/ 1 (sin (PI)))) (+ (* -1/4 (/ (pow (cos (PI)) 2) (pow (sin (PI)) 3))) (* 1/48 (/ 1 (sin (PI))))))) (sin (PI)))) (+ (* -1/8 (/ (cos (PI)) (pow (sin (PI)) 2))) (* 1/24 (/ (cos (PI)) (pow (sin (PI)) 2))))))) (* 8/3 (- (* 1/8 (/ 1 (sin (PI)))) (+ (* -1/4 (/ (pow (cos (PI)) 2) (pow (sin (PI)) 3))) (* 1/48 (/ 1 (sin (PI))))))))))) (* 2/3 (/ 1 (sin (PI))))))
(* (pow x 2) (NAN))
(* x (NAN))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* x (+ 2/3 (* -1/18 (pow x 2))))
4/9
(+ 4/9 (* -1/27 (pow x 2)))
(* 8/27 x)
(* x (+ 8/27 (* 1/5832 (pow x 6))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(* 2 (+ (log 1/2) (log x)))
(+ (* -1/12 (pow x 2)) (* 2 (+ (log 1/2) (log x))))
(+ (* 2 (+ (log 1/2) (log x))) (* (pow x 2) (- (* -1/1440 (pow x 2)) 1/12)))
(+ (* 2 (+ (log 1/2) (log x))) (* (pow x 2) (- (* (pow x 2) (- (* -1/90720 (pow x 2)) 1/1440)) 1/12)))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(* 1/120 (pow x 2))
(pow x 2)
(* 1/27 (pow x 2))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* -1/24 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (- (* -1/2880 (pow x 2)) 1/24))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (- (* (pow x 2) (- (* -1/181440 (pow x 2)) 1/2880)) 1/24))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(/ 8/3 (sin x))
(sin x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin (- (PI) x))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* -1/18 (pow x 4))
(* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* -1/18 (pow x 3))
(* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* -1/27 (pow x 2))
(* (pow x 2) (- (* 4/9 (/ 1 (pow x 2))) 1/27))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/5832 (pow x 7))
(* (pow x 7) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))
(pow (sin (* 1/2 x)) 2)
(* 2 (log (sin (* 1/2 x))))
(sin (* 1/2 x))
(log (sin (* 1/2 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin (+ (PI) (* -1 x)))))
(* -1 (* (pow x 3) (- 1/18 (* 2/3 (/ 1 (pow x 2))))))

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 5/288 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 4/3 binary64))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/34560 binary64) (.f64 x x) #s(literal 5/288 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))
(/ 8/3 x)
(/.f64 #s(literal 8/3 binary64) x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/135 binary64) (.f64 x x) #s(literal 4/9 binary64)) (.f64 x x) #s(literal 8/3 binary64)) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/5670 binary64) (.f64 x x) #s(literal 7/135 binary64)) (.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x)
(* 2/3 (/ (pow x 2) (sin (PI))))
(.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x)
(* (pow x 2) (+ (* 2/3 (/ (* x (cos (PI))) (pow (sin (PI)) 2))) (* 2/3 (/ 1 (sin (PI))))))
(.f64 (.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 2/3 binary64)) #s(literal 0 binary64)) x) x)
(* (pow x 2) (+ (* x (+ (* 2/3 (/ (cos (PI)) (pow (sin (PI)) 2))) (* 8/3 (* x (- (* 1/8 (/ 1 (sin (PI)))) (+ (* -1/4 (/ (pow (cos (PI)) 2) (pow (sin (PI)) 3))) (* 1/48 (/ 1 (sin (PI)))))))))) (* 2/3 (/ 1 (sin (PI))))))
(.f64 (fma.f64 (.f64 x (.f64 (/.f64 #s(literal 19/48 binary64) #s(literal 0 binary64)) x)) #s(literal 8/3 binary64) (/.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 2/3 binary64)) #s(literal 0 binary64))) (.f64 x x))
(* (pow x 2) (+ (* x (+ (* 2/3 (/ (cos (PI)) (pow (sin (PI)) 2))) (* x (+ (* -8/3 (* x (+ (* -1 (/ (* (cos (PI)) (- (* 1/8 (/ 1 (sin (PI)))) (+ (* -1/4 (/ (pow (cos (PI)) 2) (pow (sin (PI)) 3))) (* 1/48 (/ 1 (sin (PI))))))) (sin (PI)))) (+ (* -1/8 (/ (cos (PI)) (pow (sin (PI)) 2))) (* 1/24 (/ (cos (PI)) (pow (sin (PI)) 2))))))) (* 8/3 (- (* 1/8 (/ 1 (sin (PI)))) (+ (* -1/4 (/ (pow (cos (PI)) 2) (pow (sin (PI)) 3))) (* 1/48 (/ 1 (sin (PI))))))))))) (* 2/3 (/ 1 (sin (PI))))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -8/3 binary64) (-.f64 (.f64 (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 19/48 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) x) (/.f64 #s(literal 19/48 binary64) #s(literal 0 binary64)))) x (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64))) x (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64))) x) x)
(* (pow x 2) (NAN))
(.f64 (NAN.f64) (.f64 x x))
(* x (NAN))
(*.f64 (NAN.f64) x)
(* 2/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64))) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))
(* x (+ 2/3 (* -1/18 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
4/9
#s(literal 4/9 binary64)
(+ 4/9 (* -1/27 (pow x 2)))
(fma.f64 #s(literal -1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64))
(* 8/27 x)
(*.f64 #s(literal 8/27 binary64) x)
(* x (+ 8/27 (* 1/5832 (pow x 6))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x)
(* 1/4 (pow x 2))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64))) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
(* 2 (+ (log 1/2) (log x)))
(*.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(+ (* -1/12 (pow x 2)) (* 2 (+ (log 1/2) (log x))))
(fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))
(+ (* 2 (+ (log 1/2) (log x))) (* (pow x 2) (- (* -1/1440 (pow x 2)) 1/12)))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/1440 binary64) (.f64 x x)) #s(literal 1/12 binary64)) x) x (.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+ (* 2 (+ (log 1/2) (log x))) (* (pow x 2) (- (* (pow x 2) (- (* -1/90720 (pow x 2)) 1/1440)) 1/12)))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/90720 binary64) (.f64 x x)) #s(literal 1/1440 binary64)) x) x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/645120 binary64) (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 x x)) #s(literal 1/48 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* 1/27 (pow x 2))
(.f64 #s(literal 1/27 binary64) (.f64 x x))
(+ (log 1/2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (log x) (* -1/24 (pow x 2))))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (- (* -1/2880 (pow x 2)) 1/24))))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/2880 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (- (* (pow x 2) (- (* -1/181440 (pow x 2)) 1/2880)) 1/24))))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/181440 binary64) (.f64 x x)) #s(literal 1/2880 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(sin x)
(sin.f64 x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin (- (PI) x))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(* -1/18 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18 binary64))
(* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 1/18 binary64)))
(* -1/18 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64))
(* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 1/18 binary64)))
(* -1/27 (pow x 2))
(.f64 #s(literal -1/27 binary64) (.f64 x x))
(* (pow x 2) (- (* 4/9 (/ 1 (pow x 2))) 1/27))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 4/9 binary64) (*.f64 x x)) #s(literal 1/27 binary64)) x) x)
(* 1/18 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 1/5832 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5832 binary64))
(* (pow x 7) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))
(*.f64 (+.f64 (/.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/5832 binary64)) (pow.f64 x #s(literal 7 binary64)))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(* 2 (log (sin (* 1/2 x))))
(.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(log (sin (* 1/2 x)))
(log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin (+ (PI) (* -1 x)))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* -1 (* (pow x 3) (- 1/18 (* 2/3 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (/.f64 #s(literal -2/3 binary64) (.f64 x x)) #s(literal -1 binary64) #s(literal -1/18 binary64)) (pow.f64 x #s(literal 3 binary64)))

rewrite287.0ms (3.8%)

Memory

-0.8MiB live, 314.8MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	294
0	107	275
1	328	273
2	1843	273
0	8596	270

Stop Event

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

Counts

27 → 388

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(sin.f64 x)
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x))
(.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x)
(*.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x)
(/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (.f64 x x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x)))))
(*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x)
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64))
(.f64 (log.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(*.f64 x x)
(.f64 #s(literal 1/27 binary64) (.f64 x x))
(log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))

Outputs
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)))
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(.f64 #s(literal 2 binary64) (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (-.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))))
(fma.f64 #s(literal 1 binary64) (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64) (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))))))))
(-.f64 (log.f64 (-.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))))
(+.f64 (log.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (log.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))))
(+.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(log.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(.f64 (neg.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (fabs.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (fabs.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (.f64 (cosh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (sinh.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(fabs.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))
(fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 (cosh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (sinh.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(approx (sin x) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (fabs.f64 (.f64 #s(literal 1/120 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 #s(literal 1/120 binary64) x)) x)
(.f64 (.f64 #s(literal 1/120 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/120 binary64) x) x)
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/120 binary64)))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 1/120 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal 1/120 binary64) x)))
(.f64 x (.f64 #s(literal 1/120 binary64) x))
(sqrt.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x))))
(fabs.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(.f64 (fabs.f64 (.f64 #s(literal 1/27 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 #s(literal 1/27 binary64) x)) x)
(.f64 (.f64 #s(literal 1/27 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/27 binary64) x) x)
(.f64 #s(literal 1/27 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/27 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/27 binary64)))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 1/27 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal 1/27 binary64) x)))
(.f64 x (.f64 #s(literal 1/27 binary64) x))
(sqrt.f64 (*.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 #s(literal 1/27 binary64) (.f64 x x))))
(fabs.f64 (.f64 #s(literal 1/27 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(+.f64 (log.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (log.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))
(log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))

eval173.0ms (2.3%)

Memory: 7.8MiB live, 226.1MiB allocated; 84ms collecting garbage
Compiler: Compiled 17 908 to 2 249 computations (87.4% saved)

prune97.0ms (1.3%)

Memory

-34.3MiB live, 113.3MiB allocated; 15ms collecting garbage

Pruning

36 alts after pruning (27 fresh and 9 done)

	Pruned	Kept	Total
New	494	7	501
Fresh	4	20	24
Picked	2	3	5
Done	0	6	6
Total	500	36	536

Accuracy

100.0%

Counts

536 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.8%	(/.f64 (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) x (PI.f64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
	49.5%	(/.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
	54.8%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (PI.f64))))))
	6.2%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 #s(approx (+ (neg x) (PI)) (-.f64 (PI.f64) x))))
✓	77.3%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
	27.0%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin (+ (neg x) (PI))) x))
	54.7%	(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x))
	54.8%	(/.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
	54.8%	(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
✓	47.7%	(/.f64 (.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
	26.6%	(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	25.6%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) (.f64 x x))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
	25.7%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
✓	27.2%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
	5.4%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓	26.0%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)))
	26.1%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
	27.2%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x))
	77.2%	(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x)))
	77.2%	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	54.5%	(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)) #s(literal 8/3 binary64))
	54.8%	(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
	99.2%	(.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
	48.6%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
	27.2%	(.f64 (/.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 (.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64))
	54.7%	(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
✓	99.2%	(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
✓	99.2%	(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
	52.3%	(.f64 #s(approx ( (/ 8/3 (sin x)) (sin (* x 1/2))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
✓	1.5%	#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x))
	47.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64))))
	48.2%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (+ (* 1/5832 (pow x 6)) 8/27) x) (.f64 #s(literal 8/27 binary64) x)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
	47.6%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (fma.f64 #s(literal -1/27 binary64) (.f64 x x) #s(literal 4/9 binary64))))))
✓	48.3%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓	48.7%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
	16.4%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (/ (* (+ (* 1/5832 (pow x 6)) 8/27) x) (+ (* 1/324 (pow x 4)) (- 4/9 (* 1/27 (* x x))))) (.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64)))))

Compiler

Compiled 1 948 to 891 computations (54.3% saved)

regimes31.0ms (0.4%)

Memory

38.7MiB live, 83.7MiB allocated; 3ms collecting garbage

Counts

53 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x))
(.f64 #s(approx ( (/ 8/3 (sin x)) (sin (* x 1/2))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 #s(approx (/ (sin ( 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (/ (* (+ (* 1/5832 (pow x 6)) 8/27) x) (+ (* 1/324 (pow x 4)) (- 4/9 (* 1/27 (* x x))))) (.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 (.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (+ (* 1/5832 (pow x 6)) 8/27) x) (.f64 #s(literal 8/27 binary64) x)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) (.f64 x x))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin (+ (neg x) (PI))) x))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (fma.f64 #s(literal -1/27 binary64) (.f64 x x) #s(literal 4/9 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 #s(approx (+ (neg x) (PI)) (-.f64 (PI.f64) x))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 #s(literal 8/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) (sin.f64 x))
(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) x (PI.f64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/2 binary64)))
(.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (.f64 #s(literal 8/3 binary64) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (PI.f64))))))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (.f64 (+.f64 (sinh.f64 (.f64 (log.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal 8/3 binary64)) (sin.f64 x))

Outputs
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))

Calls

2 calls:

16.0ms	x
13.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.2%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
99.2%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes26.0ms (0.3%)

Memory

-39.7MiB live, 57.7MiB allocated; 15ms collecting garbage

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x))
(.f64 #s(approx ( (/ 8/3 (sin x)) (sin (* x 1/2))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 #s(approx (/ (sin ( 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (/ (* (+ (* 1/5832 (pow x 6)) 8/27) x) (+ (* 1/324 (pow x 4)) (- 4/9 (* 1/27 (* x x))))) (.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 (.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (+ (* 1/5832 (pow x 6)) 8/27) x) (.f64 #s(literal 8/27 binary64) x)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) (.f64 x x))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin (+ (neg x) (PI))) x))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (fma.f64 #s(literal -1/27 binary64) (.f64 x x) #s(literal 4/9 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 #s(approx (+ (neg x) (PI)) (-.f64 (PI.f64) x))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))

Outputs
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))

Calls

2 calls:

13.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
12.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes28.0ms (0.4%)

Memory

21.9MiB live, 62.6MiB allocated; 11ms collecting garbage

Counts

31 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x))
(.f64 #s(approx ( (/ 8/3 (sin x)) (sin (* x 1/2))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 #s(approx (/ (sin ( 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (/ (* (+ (* 1/5832 (pow x 6)) 8/27) x) (+ (* 1/324 (pow x 4)) (- 4/9 (* 1/27 (* x x))))) (.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 (.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (+ (* 1/5832 (pow x 6)) 8/27) x) (.f64 #s(literal 8/27 binary64) x)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) (.f64 x x))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin (+ (neg x) (PI))) x))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (fma.f64 #s(literal -1/27 binary64) (.f64 x x) #s(literal 4/9 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 #s(approx (+ (neg x) (PI)) (-.f64 (PI.f64) x))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))

Outputs
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))

Calls

2 calls:

17.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
8.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
99.2%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes22.0ms (0.3%)

Memory

-5.1MiB live, 38.7MiB allocated; 8ms collecting garbage

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x))
(.f64 #s(approx ( (/ 8/3 (sin x)) (sin (* x 1/2))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 #s(approx (/ (sin ( 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (/ (* (+ (* 1/5832 (pow x 6)) 8/27) x) (+ (* 1/324 (pow x 4)) (- 4/9 (* 1/27 (* x x))))) (.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 (.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (+ (* 1/5832 (pow x 6)) 8/27) x) (.f64 #s(literal 8/27 binary64) x)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) (.f64 x x))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin (+ (neg x) (PI))) x))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (fma.f64 #s(literal -1/27 binary64) (.f64 x x) #s(literal 4/9 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 #s(approx (+ (neg x) (PI)) (-.f64 (PI.f64) x))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))

Outputs

#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (+ (* 1/5832 (pow x 6)) 8/27) x) (*.f64 #s(literal 8/27 binary64) x)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 #s(literal 1/27 binary64) (*.f64 x x))))))

(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))

Calls

2 calls:

13.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
8.0ms	x

Results

Accuracy	Segments	Branch
99.4%	3	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
99.4%	2	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes9.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated; 0ms collecting garbage

Counts

27 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x))
(.f64 #s(approx ( (/ 8/3 (sin x)) (sin (* x 1/2))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 #s(approx (/ (sin ( 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (/ (* (+ (* 1/5832 (pow x 6)) 8/27) x) (+ (* 1/324 (pow x 4)) (- 4/9 (* 1/27 (* x x))))) (.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 (.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (+ (* 1/5832 (pow x 6)) 8/27) x) (.f64 #s(literal 8/27 binary64) x)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) (.f64 x x))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin (+ (neg x) (PI))) x))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (fma.f64 #s(literal -1/27 binary64) (.f64 x x) #s(literal 4/9 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))

Outputs

#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (+ (* 1/5832 (pow x 6)) 8/27) x) (*.f64 #s(literal 8/27 binary64) x)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 #s(literal 1/27 binary64) (*.f64 x x))))))

(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes20.0ms (0.3%)

Memory

-32.8MiB live, 22.0MiB allocated; 18ms collecting garbage

Counts

25 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x))
(.f64 #s(approx ( (/ 8/3 (sin x)) (sin (* x 1/2))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 #s(approx (/ (sin ( 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (/ (* (+ (* 1/5832 (pow x 6)) 8/27) x) (+ (* 1/324 (pow x 4)) (- 4/9 (* 1/27 (* x x))))) (.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 (.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (+ (* 1/5832 (pow x 6)) 8/27) x) (.f64 #s(literal 8/27 binary64) x)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) (.f64 x x))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin (+ (neg x) (PI))) x))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (fma.f64 #s(literal -1/27 binary64) (.f64 x x) #s(literal 4/9 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))

Outputs

#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (+ (* 1/5832 (pow x 6)) 8/27) x) (*.f64 #s(literal 8/27 binary64) x)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 #s(literal 1/27 binary64) (*.f64 x x))))))

(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes16.0ms (0.2%)

Memory

-0.5MiB live, 44.8MiB allocated; 7ms collecting garbage

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin (+ (neg x) (PI)))) (.f64 (.f64 (/.f64 #s(literal -2/3 binary64) #s(literal 0 binary64)) x) x))
(.f64 #s(approx ( (/ 8/3 (sin x)) (sin (* x 1/2))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 #s(approx (/ (sin ( 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (/ (* (+ (* 1/5832 (pow x 6)) 8/27) x) (+ (* 1/324 (pow x 4)) (- 4/9 (* 1/27 (* x x))))) (.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 (.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (+ (* 1/5832 (pow x 6)) 8/27) x) (.f64 #s(literal 8/27 binary64) x)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (*.f64 x x))))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) (.f64 x x))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin (+ (neg x) (PI))) x))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Outputs
(.f64 #s(approx ( (/ 8/3 (sin x)) (sin (* x 1/2))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))

Calls

2 calls:

6.0ms	x
6.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Results

Accuracy	Segments	Branch
52.3%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
52.3%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes4.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Accuracy

Total -30.6b remaining (-93.3%)

Threshold costs -30.6b (-93.3%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))

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

Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Calls

2 calls:

2.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
1.0ms	x

Results

Accuracy	Segments	Branch
48.7%	1	`x`
48.7%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch7.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
6.0ms	1.1087559814277287e-6	7.355509080920204

Samples

4.0ms

48×

valid

Compiler

Compiled 181 to 147 computations (18.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (40.7% of total)

ival-mult: 1.0ms (40.7% of total)

ival-sin: 1.0ms (40.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Memory

-23.8MiB live, 22.1MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
12.0ms	1.1087559814277287e-6	7.355509080920204

Samples

8.0ms

64×

valid

Compiler

Compiled 397 to 323 computations (18.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (58% of total)

ival-div: 1.0ms (14.5% of total)

ival-sin: 1.0ms (14.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Memory

30.0MiB live, 30.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.1087559814277287e-6	7.355509080920204

Samples

9.0ms

128×

valid

Compiler

Compiled 523 to 420 computations (19.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (30.2% of total)

ival-mult: 2.0ms (30.2% of total)

ival-sin: 2.0ms (30.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify106.0ms (1.4%)

Memory

-33.8MiB live, 69.7MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	244
1	102	244
2	146	244
3	229	244
4	395	244
5	666	244
6	1110	244
7	2215	244
8	5122	244

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))
(if (<=.f64 x #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (+ (* 1/5832 (pow x 6)) 8/27) x) (.f64 #s(literal 8/27 binary64) x)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (.f64 x x)))))) (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)))
(if (<=.f64 x #s(literal 5534023222112865/18446744073709551616 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (+ (* 1/5832 (pow x 6)) 8/27) x) (.f64 #s(literal 8/27 binary64) x)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (.f64 x x)))))) (.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)))
(if (<=.f64 x #s(literal 4150517416584649/1152921504606846976 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (+ (* 1/5832 (pow x 6)) 8/27) x) (.f64 #s(literal 8/27 binary64) x)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (.f64 x x)))))) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
(.f64 #s(approx ( (/ 8/3 (sin x)) (sin (* x 1/2))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Outputs
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))
(if (<=.f64 x #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (+ (* 1/5832 (pow x 6)) 8/27) x) (.f64 #s(literal 8/27 binary64) x)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (.f64 x x)))))) (/.f64 (.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)))
(if (<=.f64 x #s(literal 5534023222112865/18446744073709551616 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (+ (* 1/5832 (pow x 6)) 8/27) x) (.f64 #s(literal 8/27 binary64) x)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (.f64 x x)))))) (.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)))
(if (<=.f64 x #s(literal 4150517416584649/1152921504606846976 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (+ (* 1/5832 (pow x 6)) 8/27) x) (.f64 #s(literal 8/27 binary64) x)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (.f64 x x)))))) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
(if (<=.f64 x #s(literal 4150517416584649/1152921504606846976 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (+ (* 1/5832 (pow x 6)) 8/27) x) (.f64 #s(literal 8/27 binary64) x)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 1/27 binary64) (.f64 x x)))))) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
(.f64 #s(approx ( (/ 8/3 (sin x)) (sin (* x 1/2))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

derivations587.0ms (7.7%)

Memory

12.6MiB live, 716.6MiB allocated; 80ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	147
0	46	135
1	95	135
2	218	135
0	900	135
0	90	225
1	292	225
2	833	219
3	3515	219
0	8076	201
0	11	34
0	19	34
1	29	28
2	81	28
0	360	28
0	49	222
0	82	189
1	242	189
2	1145	189
0	9116	189
0	290	788
1	904	761
2	2758	752
3	7882	746
0	8498	698

Stop Event

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

Compiler

Compiled 252 to 77 computations (69.4% saved)

preprocess257.0ms (3.4%)

Memory: -15.9MiB live, 235.0MiB allocated; 62ms collecting garbage
Compiler: Compiled 684 to 286 computations (58.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze417.0ms (5.5%)

sample1.7s (22.1%)

explain207.0ms (2.7%)

preprocess185.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify122.0ms (1.6%)

localize50.0ms (0.7%)

series5.0ms (0.1%)

simplify201.0ms (2.6%)

rewrite48.0ms (0.6%)

eval7.0ms (0.1%)

prune27.0ms (0.4%)

simplify246.0ms (3.2%)

localize129.0ms (1.7%)

series49.0ms (0.6%)

simplify191.0ms (2.5%)

rewrite61.0ms (0.8%)

eval100.0ms (1.3%)

prune39.0ms (0.5%)

simplify146.0ms (1.9%)

localize501.0ms (6.6%)

series10.0ms (0.1%)

simplify163.0ms (2.1%)

rewrite220.0ms (2.9%)

eval196.0ms (2.6%)

prune83.0ms (1.1%)

simplify180.0ms (2.4%)

localize328.0ms (4.3%)

series115.0ms (1.5%)

simplify214.0ms (2.8%)

rewrite287.0ms (3.8%)

eval173.0ms (2.3%)

prune97.0ms (1.3%)

regimes31.0ms (0.4%)

regimes26.0ms (0.3%)

regimes28.0ms (0.4%)

regimes22.0ms (0.3%)

regimes9.0ms (0.1%)

regimes20.0ms (0.3%)

regimes16.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch13.0ms (0.2%)

bsearch18.0ms (0.2%)

simplify106.0ms (1.4%)

derivations587.0ms (7.7%)

preprocess257.0ms (3.4%)

end0.0ms (0%)

Profiling