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

analyze231.0ms (2.8%)

Memory

32.1MiB live, 513.9MiB allocated

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)

sample2.3s (28%)

Memory

24.9MiB live, 1 797.7MiB allocated

Samples

1.9s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-sin: 576.0ms (39.6% of total)

ival-mult: 469.0ms (32.3% of total)

ival-div: 387.0ms (26.6% of total)

exact: 11.0ms (0.8% of total)

ival-true: 6.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain285.0ms (3.4%)

Memory

-33.1MiB live, 341.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
77	0	-	4	(-6.997254252043974e-162)	`(/.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	-	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	102	(1.255620126306001e+241)	0	-	`(sin.f64 (*.f64 x #s(literal 1/2 binary64)))`
0	0	-	0	-	`#s(literal 8 binary64)`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`(*.f64 x #s(literal 1/2 binary64))`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`
0	0	-	0	-	`(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`#s(literal 1/2 binary64)`
0	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	102	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	73	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	73

Confusion

	Predicted +	Predicted -
+	73	4
-	102	77

Precision

0.41714285714285715

Recall

0.948051948051948

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	73	0	4
-	102	0	77

Precision?

0.41714285714285715

Recall?

0.948051948051948

Freqs

test

number	freq
0	81
1	175

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

161.0ms

512×

valid

Compiler

Compiled 126 to 37 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-div: 83.0ms (58.9% of total)

ival-sin: 48.0ms (34.1% of total)

ival-mult: 9.0ms (6.4% of total)

exact: 1.0ms (0.7% of total)

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

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

preprocess156.0ms (1.9%)

Memory

16.0MiB live, 205.4MiB allocated

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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.6%	(/.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)

simplify84.0ms (1%)

Memory

20.8MiB live, 112.6MiB allocated

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)

localize68.0ms (0.8%)

Memory

-0.9MiB live, 95.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 x)
accuracy	0.21484375	(.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	0.3671875	(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
accuracy	17.388445214670078	(/.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

60.0ms

256×

valid

Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-sin: 40.0ms (76.4% of total)

ival-div: 8.0ms (15.3% of total)

ival-mult: 4.0ms (7.6% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

-33.9MiB live, 12.0MiB allocated

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
7.0ms	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

7.0ms

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))

simplify155.0ms (1.9%)

Memory

35.1MiB live, 221.1MiB allocated

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)

rewrite91.0ms (1.1%)

Memory

-4.6MiB live, 133.0MiB allocated

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))))

eval20.0ms (0.2%)

Memory: -9.4MiB live, 29.1MiB allocated
Compiler: Compiled 1 133 to 229 computations (79.8% saved)

prune16.0ms (0.2%)

Memory

0.8MiB live, 46.6MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	48	12	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	12	61

Accuracy

99.6%

Counts

61 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.4%	(/.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))
▶	72.5%	(/.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))
	8.6%	(/.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 (+.f64 (neg.f64 x) (PI.f64))))
	72.6%	(/.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))
	34.0%	(/.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))
▶	34.4%	(/.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))
	72.5%	(.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)))
▶	72.6%	(.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)))
	98.8%	(.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)))
	60.4%	#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))
▶	60.6%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 390 to 298 computations (23.6% saved)

simplify257.0ms (3.1%)

Memory

7.1MiB live, 194.0MiB allocated

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)

localize124.0ms (1.5%)

Memory

-3.3MiB live, 288.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 x)
accuracy	0.21875	(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
accuracy	0.27962875976844204	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
accuracy	17.388445214670078	(/.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	0.21875	(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
accuracy	0.38900375976844204	(.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	17.3128106358813	(/.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	0.16796875	(.f64 (.f64 x x) #s(literal 2/3 binary64))
accuracy	17.388445214670078	(/.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	24.694809831762022	#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
accuracy	0.33984375	(*.f64 #s(literal 2/3 binary64) x)
accuracy	24.97457557816172	#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	0.12109375	(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
accuracy	0.171875	(.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	0.3671875	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))

Samples

90.0ms	254×	0	valid
2.0ms	2×	3	valid

Compiler

Compiled 180 to 29 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 33.0ms (45.6% of total)

ival-sin: 21.0ms (29% of total)

ival-div: 8.0ms (11% of total)

const: 7.0ms (9.7% of total)

ival-pow2: 3.0ms (4.1% of total)

exact: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

series10.0ms (0.1%)

Memory

-6.2MiB live, 40.9MiB allocated

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
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	@	-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

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

-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))

simplify218.0ms (2.6%)

Memory

2.8MiB live, 248.4MiB allocated

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)

rewrite96.0ms (1.2%)

Memory

20.8MiB live, 118.8MiB allocated

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

eval137.0ms (1.7%)

Memory: 5.9MiB live, 134.6MiB allocated
Compiler: Compiled 7 258 to 1 092 computations (85% saved)

prune50.0ms (0.6%)

Memory

-0.9MiB live, 85.4MiB allocated

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	350	19	369
Fresh	4	3	7
Picked	0	5	5
Done	0	0	0
Total	354	27	381

Accuracy

99.8%

Counts

381 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.2%	(/.f64 (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))) (sin.f64 x))
	8.6%	(/.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))))
✓	72.5%	(/.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))
	43.4%	(/.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))
	43.4%	(/.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))
	43.4%	(/.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))
	52.7%	(/.f64 (.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))))) (sin.f64 x))
	50.3%	(/.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))
	34.0%	(/.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))
	6.6%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
	5.5%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 (neg.f64 (+.f64 (PI.f64) x))))
✓	34.4%	(/.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))
▶	33.4%	(/.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)))
▶	72.5%	(.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)))
▶	79.1%	(.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)))
✓	72.6%	(.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))
	43.5%	(.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))
	79.3%	(.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))))))
✓	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)))
	60.6%	(.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)))
	34.4%	(.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))
	43.4%	(.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))
	79.2%	(.f64 (.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 8/3 binary64))
	64.1%	(.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)))
▶	60.4%	#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))
✓	60.6%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 930 to 668 computations (28.2% saved)

simplify137.0ms (1.7%)

Memory

36.3MiB live, 130.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff	0	(/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 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	3	(.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)))
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	(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)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
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)) #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: 0 (0.0ms)

Iter	Nodes	Cost
0	42	261
0	69	234
1	118	234
2	225	234
3	591	234
4	1372	234
5	1874	234
6	2432	234
7	3665	234
8	6285	234
0	8010	234

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)) #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)) #s(literal -1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1/6 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)))
(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)
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)
(.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 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x))
(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)
(sin.f64 x)
(.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 #s(literal 1/2 binary64) x)
#s(literal 8/3 binary64)

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)) #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 #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)) #s(literal -1/6 binary64) x))
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1/6 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)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 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)
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)
(.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 #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 (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)) (sin.f64 x))
(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)
(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)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 8/3 binary64)

localize212.0ms (2.5%)

Memory

-43.8MiB live, 290.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x))
accuracy	0.1015625	(.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)))
accuracy	0.29296875	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
accuracy	0.4296875	(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
accuracy	0.0	(sin.f64 x)
accuracy	0.109375	(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
accuracy	0.30078125	(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
accuracy	17.422608546397264	(.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)))
accuracy	0.1328125	(.f64 (.f64 x x) #s(literal 2/3 binary64))
accuracy	12.499601389036261	#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
accuracy	12.701980025583671	#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
accuracy	17.325945214670078	(/.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)))
accuracy	0.0	(*.f64 x x)
accuracy	0.03515625	(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
accuracy	0.2578125	(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
accuracy	12.627351868051315	#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	0.0546875	(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
accuracy	0.06640625	(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy	0.33041000976844204	(.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

110.0ms	203×	0	valid
22.0ms	51×	0	invalid
2.0ms	2×	3	valid

Compiler

Compiled 237 to 39 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 35.0ms (34.4% of total)

const: 30.0ms (29.5% of total)

ival-sin: 16.0ms (15.7% of total)

ival-div: 8.0ms (7.9% of total)

ival-pow2: 5.0ms (4.9% of total)

ival-pow: 3.0ms (2.9% of total)

ival-sqrt: 2.0ms (2% of total)

ival-add: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

series9.0ms (0.1%)

Memory

26.1MiB live, 26.1MiB allocated

Counts

23 → 57

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)) #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 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.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.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(.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)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x))
(sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin.f64 x)
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))

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))))
(* 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))))
(* (sqrt x) (sqrt 1/2))
(+ (* -1/96 (* (sqrt (pow x 5)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2)))
(+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* 1/7680 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2)))))))
(+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/18432 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/7680 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))))))))
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 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)
(* 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))))
(/ (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))
(pow (sin (* 1/2 x)) 2)
(sqrt (sin (* 1/2 x)))
(sin x)
(/ 8/3 (sin x))
(* 8/3 (sin (* 1/2 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) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (sin (* 1/2 x)) (* 1/2 x) (* (/ (pow (sqrt (sin (* x 1/2))) 2) (sin x)) (* (sin (* 1/2 x)) 8/3)) (pow (sqrt (sin (* x 1/2))) 2) (/ (pow (sqrt (sin (* x 1/2))) 2) (sin x)) (sqrt (sin (* x 1/2))) (sin x) (sin x) (/ 8/3 (sin x)) (* (sin (* 1/2 x)) 8/3))

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

2.0ms

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

simplify170.0ms (2%)

Memory

-10.9MiB live, 271.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	643
1	759	624
2	2458	615
3	6561	610
0	8660	558

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 56

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))))
(* 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))))
(* (sqrt x) (sqrt 1/2))
(+ (* -1/96 (* (sqrt (pow x 5)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2)))
(+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* 1/7680 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2)))))))
(+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/18432 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/7680 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))))))))
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 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)
(* 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))))
(/ (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))
(pow (sin (* 1/2 x)) 2)
(sqrt (sin (* 1/2 x)))
(sin x)
(/ 8/3 (sin x))
(* 8/3 (sin (* 1/2 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 (.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
#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))
(* 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))
(* (sqrt x) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x))
(+ (* -1/96 (* (sqrt (pow x 5)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2)))
(fma.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* 1/7680 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2)))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/7680 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/96 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/18432 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/7680 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/46080 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x))) (pow.f64 x #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(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)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (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))) (pow.f64 x #s(literal 3 binary64)) x)
(/ 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)
(* 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 (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))) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 4/3 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))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sqrt (sin (* 1/2 x)))
(sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(sin x)
(sin.f64 x)
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))

rewrite280.0ms (3.4%)

Memory

34.3MiB live, 258.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	210
0	69	183
1	178	183
2	694	183
3	5866	183
0	8158	183

Stop Event

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

Counts

23 → 663

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)) #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 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.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.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(.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)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x))
(sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin.f64 x)
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))

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

eval195.0ms (2.3%)

Memory: -33.6MiB live, 224.5MiB allocated
Compiler: Compiled 19 044 to 2 793 computations (85.3% saved)

prune59.0ms (0.7%)

Memory

16.7MiB live, 79.9MiB allocated

Pruning

32 alts after pruning (24 fresh and 8 done)

	Pruned	Kept	Total
New	695	16	711
Fresh	9	8	17
Picked	2	3	5
Done	0	5	5
Total	706	32	738

Accuracy

100.0%

Counts

738 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.6%	(/.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))))
✓	72.5%	(/.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))
	43.4%	(/.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))
	43.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
	34.0%	(/.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))
	33.5%	(/.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)) #s(literal -1/6 binary64) x)))
	6.6%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
	5.5%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 (neg.f64 (+.f64 (PI.f64) x))))
✓	34.4%	(/.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))
	33.6%	(/.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 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
	33.4%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 #s(literal 2/3 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
	52.5%	(.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
✓	72.5%	(.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)))
	60.3%	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/2 binary64)) (.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
✓	72.6%	(.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))
▶	43.5%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (*.f64 #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)))
	60.6%	(.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)))
▶	43.4%	(.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))
	43.1%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	43.4%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	74.4%	(.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #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))
▶	79.2%	(.f64 (.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 8/3 binary64))
▶	64.1%	(.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))
	34.3%	(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	60.2%	#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))))
✓	60.4%	#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))
	60.0%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 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)))))))
	59.5%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 6 binary64)) #s(literal 64/729 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/5832 binary64) (pow.f64 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)))))) x))
▶	60.2%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64)))))
✓	60.6%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 1 250 to 914 computations (26.9% saved)

simplify184.0ms (2.2%)

Memory

-13.9MiB live, 174.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
cost-diff	2	(*.f64 #s(literal 1 binary64) x)
cost-diff	2	(.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))
cost-diff	6	(-.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)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))
cost-diff	2	(*.f64 #s(literal 1 binary64) x)
cost-diff	2	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (sin.f64 x))) #s(literal 8/3 binary64))
cost-diff	3	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2 binary64) (sin.f64 x)))
cost-diff	0	(*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64))))
cost-diff	0	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64)))))
cost-diff	0	(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
cost-diff	0	(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff	0	(.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))
cost-diff	0	(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
cost-diff	0	(.f64 (.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (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)) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
cost-diff	6	(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	329
0	83	301
1	140	283
2	274	268
3	579	262
4	1280	262
5	2383	262
6	4313	262
7	7929	262
0	8100	262

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 8/3 binary64))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (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)
(sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#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 (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #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 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64)))))
(.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64))))
(-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64))
(*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/324 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 4/9 binary64)
(/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64)))
(-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64))
(.f64 #s(literal 1/18 binary64) (.f64 x x))
#s(literal 1/18 binary64)
(*.f64 x x)
#s(literal 2/3 binary64)
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (sin.f64 x))) #s(literal 8/3 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2 binary64) (sin.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
x
(*.f64 #s(literal 2 binary64) (sin.f64 x))
#s(literal 2 binary64)
(sin.f64 x)
#s(literal 8/3 binary64)
(.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 #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)))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
#s(literal 1/2 binary64)
(sin.f64 x)
x
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))
(.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 8/3 binary64)

Outputs
(.f64 (.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (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 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)) (sin.f64 x))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 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)
(sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sqrt.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 (.f64 #s(literal -8/3 binary64) #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) x)))
(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
#s(literal 1/2 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 8/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64))))
(.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64))))
(.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)))
(-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64))
(*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64))
#s(literal 1/324 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 4/9 binary64)
(/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64)))
(/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(.f64 #s(literal 1/18 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(*.f64 x x)
#s(literal 2/3 binary64)
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (sin.f64 x))) #s(literal 8/3 binary64))
(.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2 binary64) (sin.f64 x)))
(.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(cos.f64 x)
(*.f64 #s(literal 1 binary64) x)
x
x
(*.f64 #s(literal 2 binary64) (sin.f64 x))
#s(literal 2 binary64)
(sin.f64 x)
#s(literal 8/3 binary64)
(.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 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal -1/2 binary64) x)))
(-.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)))
(.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
#s(literal 1/2 binary64)
(sin.f64 x)
x
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (cos.f64 x))
(.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 (cos.f64 x) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(cos.f64 x)
(*.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
#s(literal 8/3 binary64)

localize514.0ms (6.2%)

Memory

-19.9MiB live, 647.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
accuracy	0.06640625	(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))
accuracy	0.33041000976844204	(.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))
accuracy	35.9648878654576	(-.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)))
accuracy	0.0	(cos.f64 (*.f64 #s(literal 1 binary64) x))
accuracy	0.33041000976844204	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (sin.f64 x))) #s(literal 8/3 binary64))
accuracy	17.2337312296737	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2 binary64) (sin.f64 x)))
accuracy	18.29610593999843	(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))
accuracy	0.1328125	(.f64 #s(literal 1/18 binary64) (.f64 x x))
accuracy	0.8677770943485268	(.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64))))
accuracy	6.170609614486782	(/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64)))
accuracy	12.627351868051315	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64)))))
accuracy	0.0	(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.06640625	(.f64 #s(approx (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy	0.33041000976844204	(.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))
accuracy	11.61996952179309	#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
accuracy	0.0546875	(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
accuracy	0.08984375	(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
accuracy	0.33041000976844204	(.f64 (.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 8/3 binary64))
accuracy	0.39453125	(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))

Samples

199.0ms	59×	2	valid
99.0ms	69×	1	valid
64.0ms	53×	0	valid
54.0ms	24×	3	valid
53.0ms	51×	0	invalid

Compiler

Compiled 309 to 47 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 394.0ms

ival-mult: 141.0ms (35.7% of total)

ival-sin: 65.0ms (16.5% of total)

adjust: 60.0ms (15.2% of total)

ival-sub: 43.0ms (10.9% of total)

ival-cos: 40.0ms (10.1% of total)

const: 21.0ms (5.3% of total)

ival-div: 19.0ms (4.8% of total)

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

ival-sqrt: 2.0ms (0.5% of total)

exact: 1.0ms (0.3% of total)

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

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

series27.0ms (0.3%)

Memory

15.1MiB live, 56.2MiB allocated

Counts

23 → 66

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (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))
(.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 (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 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 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64)))))
(.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64))))
(-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64))
(*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2 binary64) (sin.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (sin.f64 x))) #s(literal 8/3 binary64))
(*.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))
(-.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)))
(.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 #s(literal 1/2 binary64) (sin.f64 x))
(/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64)))
(.f64 #s(literal 1/18 binary64) (.f64 x x))
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))

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))))))))
(* (sqrt x) (sqrt 1/8))
(+ (* 1/6 (* (sqrt (pow x 5)) (sqrt 1/8))) (* (sqrt x) (sqrt 1/8)))
(+ (* (sqrt x) (sqrt 1/8)) (* (pow x 2) (+ (* -1/128 (* (sqrt x) (/ 1 (sqrt 1/8)))) (* 1/6 (* (sqrt x) (sqrt 1/8))))))
(+ (* (sqrt x) (sqrt 1/8)) (* (pow x 2) (+ (* 1/6 (* (sqrt x) (sqrt 1/8))) (* x (+ (* -1/128 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/8)))) (* 7/360 (* (sqrt (pow x 3)) (sqrt 1/8))))))))
(* 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))))
-4/9
(- (* 1/324 (pow x 4)) 4/9)
(* 1/324 (pow x 4))
x
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/12 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* 7/720 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 7/720 (* 31/30240 (pow x 2))))))) x)
(* -3/2 x)
(* x (- (* -1/8 (pow x 2)) 3/2))
(* x (- (* (pow x 2) (- (* -1/96 (pow x 2)) 1/8)) 3/2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1152 (pow x 2)) 1/96)) 1/8)) 3/2))
(* 1/18 (pow x 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(/ (+ 1/2 (* -1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (- (* -1/90 (pow x 2)) 1/6))) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/945 (pow x 2)) 1/90)) 1/6))) x)
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(* (/ 1 (sin x)) (sqrt (pow (sin (* 1/2 x)) 3)))
(* 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)))))
(* (pow x 4) (- 1/324 (* 4/9 (/ 1 (pow x 4)))))
(* 1/2 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(- 1 (cos x))
(- (* 1/2 (/ 1 (sin x))) (* 1/2 (/ (cos x) (sin x))))
(* 8/3 (- (* 1/2 (/ 1 (sin x))) (* 1/2 (/ (cos x) (sin x)))))
(/ 1/2 (sin x))
(/ 18 x)
(/ (+ 18 (* 216 (/ 1 (pow x 2)))) x)
(/ (+ 18 (+ (* 216 (/ 1 (pow x 2))) (/ 2592 (pow x 4)))) x)
(/ (+ 18 (+ (* 216 (/ 1 (pow x 2))) (+ (* 31104 (/ 1 (pow x 6))) (/ 2592 (pow x 4))))) x)
(cos x)
(* 1/2 (/ (cos x) (sin x)))
(* -1 (/ (- (* -1 (/ (+ 216 (* 2592 (/ 1 (pow x 2)))) (pow x 2))) 18) x))
(* -1 (/ (- (* -1 (/ (+ 2592 (* 31104 (/ 1 (pow x 2)))) (pow x 4))) (+ 18 (* 216 (/ 1 (pow x 2))))) x))

Calls

3 calls:

Time

Variable

Point

Expression

12.0ms

-inf

((* (* (/ (sin (* x 1/2)) (sin x)) (sqrt (sin (* x 1/2)))) (sqrt (sin (* x 1/2)))) (* (/ (sin (* x 1/2)) (sin x)) (sqrt (sin (* x 1/2)))) (* (* (* (/ (sin (* x 1/2)) (sin x)) (sqrt (sin (* x 1/2)))) (sqrt (sin (* x 1/2)))) 8/3) (/ (sin (* x 1/2)) (sin x)) (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (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 1/2))) (sin x)) (* (- (* 1/324 (pow x 4)) 4/9) (/ x (- (* 1/18 (* x x)) 2/3))) (- (* 1/324 (pow x 4)) 4/9) (* 1/324 (pow x 4)) (/ (- 1 (cos (* 1 x))) (* 2 (sin x))) (* (/ (- 1 (cos (* 1 x))) (* 2 (sin x))) 8/3) (* 1 x) (- 1 (cos (* 1 x))) (- (/ 1/2 (sin x)) (/ (* (cos (* 1 x)) 1/2) (sin x))) (* (- (/ 1/2 (sin x)) (/ (* (cos (* 1 x)) 1/2) (sin x))) 8/3) (/ 1/2 (sin x)) (/ x (- (* 1/18 (* x x)) 2/3)) (* 1/18 (* x x)) (cos (* 1 x)) (/ (* (cos (* 1 x)) 1/2) (sin x)))

7.0ms

inf

((* (* (/ (sin (* x 1/2)) (sin x)) (sqrt (sin (* x 1/2)))) (sqrt (sin (* x 1/2)))) (* (/ (sin (* x 1/2)) (sin x)) (sqrt (sin (* x 1/2)))) (* (* (* (/ (sin (* x 1/2)) (sin x)) (sqrt (sin (* x 1/2)))) (sqrt (sin (* x 1/2)))) 8/3) (/ (sin (* x 1/2)) (sin x)) (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (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 1/2))) (sin x)) (* (- (* 1/324 (pow x 4)) 4/9) (/ x (- (* 1/18 (* x x)) 2/3))) (- (* 1/324 (pow x 4)) 4/9) (* 1/324 (pow x 4)) (/ (- 1 (cos (* 1 x))) (* 2 (sin x))) (* (/ (- 1 (cos (* 1 x))) (* 2 (sin x))) 8/3) (* 1 x) (- 1 (cos (* 1 x))) (- (/ 1/2 (sin x)) (/ (* (cos (* 1 x)) 1/2) (sin x))) (* (- (/ 1/2 (sin x)) (/ (* (cos (* 1 x)) 1/2) (sin x))) 8/3) (/ 1/2 (sin x)) (/ x (- (* 1/18 (* x x)) 2/3)) (* 1/18 (* x x)) (cos (* 1 x)) (/ (* (cos (* 1 x)) 1/2) (sin x)))

6.0ms

((* (* (/ (sin (* x 1/2)) (sin x)) (sqrt (sin (* x 1/2)))) (sqrt (sin (* x 1/2)))) (* (/ (sin (* x 1/2)) (sin x)) (sqrt (sin (* x 1/2)))) (* (* (* (/ (sin (* x 1/2)) (sin x)) (sqrt (sin (* x 1/2)))) (sqrt (sin (* x 1/2)))) 8/3) (/ (sin (* x 1/2)) (sin x)) (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (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 1/2))) (sin x)) (* (- (* 1/324 (pow x 4)) 4/9) (/ x (- (* 1/18 (* x x)) 2/3))) (- (* 1/324 (pow x 4)) 4/9) (* 1/324 (pow x 4)) (/ (- 1 (cos (* 1 x))) (* 2 (sin x))) (* (/ (- 1 (cos (* 1 x))) (* 2 (sin x))) 8/3) (* 1 x) (- 1 (cos (* 1 x))) (- (/ 1/2 (sin x)) (/ (* (cos (* 1 x)) 1/2) (sin x))) (* (- (/ 1/2 (sin x)) (/ (* (cos (* 1 x)) 1/2) (sin x))) 8/3) (/ 1/2 (sin x)) (/ x (- (* 1/18 (* x x)) 2/3)) (* 1/18 (* x x)) (cos (* 1 x)) (/ (* (cos (* 1 x)) 1/2) (sin x)))

simplify396.0ms (4.8%)

Memory

-17.7MiB live, 231.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	281	727
1	842	718
2	2532	711
3	6552	711
0	9059	666

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

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))))))))
(* (sqrt x) (sqrt 1/8))
(+ (* 1/6 (* (sqrt (pow x 5)) (sqrt 1/8))) (* (sqrt x) (sqrt 1/8)))
(+ (* (sqrt x) (sqrt 1/8)) (* (pow x 2) (+ (* -1/128 (* (sqrt x) (/ 1 (sqrt 1/8)))) (* 1/6 (* (sqrt x) (sqrt 1/8))))))
(+ (* (sqrt x) (sqrt 1/8)) (* (pow x 2) (+ (* 1/6 (* (sqrt x) (sqrt 1/8))) (* x (+ (* -1/128 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/8)))) (* 7/360 (* (sqrt (pow x 3)) (sqrt 1/8))))))))
(* 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))))
-4/9
(- (* 1/324 (pow x 4)) 4/9)
(* 1/324 (pow x 4))
x
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/12 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* 7/720 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 7/720 (* 31/30240 (pow x 2))))))) x)
(* -3/2 x)
(* x (- (* -1/8 (pow x 2)) 3/2))
(* x (- (* (pow x 2) (- (* -1/96 (pow x 2)) 1/8)) 3/2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1152 (pow x 2)) 1/96)) 1/8)) 3/2))
(* 1/18 (pow x 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(/ (+ 1/2 (* -1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (- (* -1/90 (pow x 2)) 1/6))) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/945 (pow x 2)) 1/90)) 1/6))) x)
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(* (/ 1 (sin x)) (sqrt (pow (sin (* 1/2 x)) 3)))
(* 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)))))
(* (pow x 4) (- 1/324 (* 4/9 (/ 1 (pow x 4)))))
(* 1/2 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(- 1 (cos x))
(- (* 1/2 (/ 1 (sin x))) (* 1/2 (/ (cos x) (sin x))))
(* 8/3 (- (* 1/2 (/ 1 (sin x))) (* 1/2 (/ (cos x) (sin x)))))
(/ 1/2 (sin x))
(/ 18 x)
(/ (+ 18 (* 216 (/ 1 (pow x 2)))) x)
(/ (+ 18 (+ (* 216 (/ 1 (pow x 2))) (/ 2592 (pow x 4)))) x)
(/ (+ 18 (+ (* 216 (/ 1 (pow x 2))) (+ (* 31104 (/ 1 (pow x 6))) (/ 2592 (pow x 4))))) x)
(cos x)
(* 1/2 (/ (cos x) (sin x)))
(* -1 (/ (- (* -1 (/ (+ 216 (* 2592 (/ 1 (pow x 2)))) (pow x 2))) 18) x))
(* -1 (/ (- (* -1 (/ (+ 2592 (* 31104 (/ 1 (pow x 2)))) (pow x 4))) (+ 18 (* 216 (/ 1 (pow x 2))))) 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)
(* (sqrt x) (sqrt 1/8))
(*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 x))
(+ (* 1/6 (* (sqrt (pow x 5)) (sqrt 1/8))) (* (sqrt x) (sqrt 1/8)))
(*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/6 binary64) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt 1/8)) (* (pow x 2) (+ (* -1/128 (* (sqrt x) (/ 1 (sqrt 1/8)))) (* 1/6 (* (sqrt x) (sqrt 1/8))))))
(fma.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal -1/128 binary64) (sqrt.f64 #s(literal 1/8 binary64))))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt 1/8)) (* (pow x 2) (+ (* 1/6 (* (sqrt x) (sqrt 1/8))) (* x (+ (* -1/128 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/8)))) (* 7/360 (* (sqrt (pow x 3)) (sqrt 1/8))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 x)) (.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (*.f64 #s(literal 7/360 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64))))
(* 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 (.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 (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))) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) x))
-4/9
#s(literal -4/9 binary64)
(- (* 1/324 (pow x 4)) 4/9)
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64))
(* 1/324 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64))
x
(* 1/2 (pow x 2))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/12 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* 7/720 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 7/720 (* 31/30240 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* x (- (* -1/8 (pow x 2)) 3/2))
(.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) x)
(* x (- (* (pow x 2) (- (* -1/96 (pow x 2)) 1/8)) 3/2))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) x) x) #s(literal 3/2 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1152 (pow x 2)) 1/96)) 1/8)) 3/2))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/1152 binary64) (.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 3/2 binary64)) x)
(* 1/18 (pow x 2))
(.f64 #s(literal 1/18 binary64) (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(/ (+ 1/2 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (- (* -1/90 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/90 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/945 (pow x 2)) 1/90)) 1/6))) x)
(/.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/945 binary64) (.f64 x x)) #s(literal 1/90 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 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))
(* (/ 1 (sin x)) (sqrt (pow (sin (* 1/2 x)) 3)))
(/.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin 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)))
(/ (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 #s(literal 1/18 binary64) (pow.f64 x #s(literal 3 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)))
(* (pow x 4) (- 1/324 (* 4/9 (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/324 binary64) (/.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* 1/2 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- (* 1/2 (/ 1 (sin x))) (* 1/2 (/ (cos x) (sin x))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(* 8/3 (- (* 1/2 (/ 1 (sin x))) (* 1/2 (/ (cos x) (sin x)))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/ 1/2 (sin x))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
(/ 18 x)
(/.f64 #s(literal 18 binary64) x)
(/ (+ 18 (* 216 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 216 binary64) (*.f64 x x)) #s(literal 18 binary64)) x)
(/ (+ 18 (+ (* 216 (/ 1 (pow x 2))) (/ 2592 (pow x 4)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 2592 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -216 binary64) (*.f64 x x)) #s(literal 18 binary64))) x)
(/ (+ 18 (+ (* 216 (/ 1 (pow x 2))) (+ (* 31104 (/ 1 (pow x 6))) (/ 2592 (pow x 4))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2592 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -31104 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -216 binary64) (*.f64 x x)) #s(literal 18 binary64))) x)
(cos x)
(cos.f64 x)
(* 1/2 (/ (cos x) (sin x)))
(*.f64 (cos.f64 x) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* -1 (/ (- (* -1 (/ (+ 216 (* 2592 (/ 1 (pow x 2)))) (pow x 2))) 18) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2592 binary64) (.f64 x x)) #s(literal -216 binary64)) (.f64 x x)) #s(literal 18 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ 2592 (* 31104 (/ 1 (pow x 2)))) (pow x 4))) (+ 18 (* 216 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -31104 binary64) (.f64 x x)) #s(literal -2592 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 216 binary64) (.f64 x x)) #s(literal 18 binary64))) (neg.f64 x))

rewrite363.0ms (4.4%)

Memory

16.4MiB live, 340.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	258
0	83	236
1	221	209
2	1279	193
0	8094	193

Stop Event

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

Counts

23 → 648

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (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))
(.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 (/ (sin ( x 1/2)) (sin x)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 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 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64)))))
(.f64 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64))))
(-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64))
(*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2 binary64) (sin.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (sin.f64 x))) #s(literal 8/3 binary64))
(*.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))
(-.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)))
(.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 #s(literal 1/2 binary64) (sin.f64 x))
(/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64)))
(.f64 #s(literal 1/18 binary64) (.f64 x x))
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))

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

eval115.0ms (1.4%)

Memory: 25.7MiB live, 273.3MiB allocated
Compiler: Compiled 17 526 to 2 651 computations (84.9% saved)

prune42.0ms (0.5%)

Memory

-18.6MiB live, 173.6MiB allocated

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	638	13	651
Fresh	16	3	19
Picked	4	1	5
Done	2	6	8
Total	660	23	683

Accuracy

100.0%

Counts

683 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.6%	(/.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))))
✓	72.5%	(/.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))
	72.1%	(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))))
	43.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) (.f64 #s(literal 2 binary64) (sin.f64 x)))
✓	34.4%	(/.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))
	52.5%	(.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
✓	72.5%	(.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)))
	72.1%	(.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))) #s(literal 8/3 binary64))
	43.5%	(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) #s(literal -4/3 binary64))
	43.4%	(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
	43.4%	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -8/3 binary64) (.f64 #s(literal -2 binary64) (sin.f64 x))))
✓	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))
✓	64.1%	(.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))
	60.2%	(.f64 (.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (sin (* x 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 8/3 binary64))
	99.4%	(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
	59.8%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/34012224 binary64)) #s(literal 64/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/104976 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/729 binary64) #s(literal 16/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))))
	59.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/104976 binary64)) #s(literal 16/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))))
	60.2%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
✓	60.4%	#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))
	60.0%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 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)))))))
	61.0%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(approx (- ( 1/324 (pow x 4)) 4/9) #s(literal -4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64)))))
✓	60.6%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
	19.4%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (- (* 1/324 (pow x 4)) 4/9) (/ x (- (* 1/18 (* x x)) 2/3))) (.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 1 770 to 688 computations (61.1% saved)

regimes103.0ms (1.2%)

Memory

29.7MiB live, 121.9MiB allocated

Counts

61 → 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))
(.f64 (.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (sin (* x 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #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(approx (- ( 1/324 (pow x 4)) 4/9) #s(literal -4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 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 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/.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 (* (- (* 1/324 (pow x 4)) 4/9) (/ x (- (* 1/18 (* x x)) 2/3))) (.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.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))) (sin.f64 (neg.f64 (+.f64 (PI.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 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 #s(literal 2/3 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) 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 #s(literal 1/6 binary64) (pow.f64 x #s(literal 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))) #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 (-.f64 (.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 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))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (.f64 (.f64 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 (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)) #s(literal -1/6 binary64) x)))
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) #s(literal -4/3 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -8/3 binary64) (.f64 #s(literal -2 binary64) (sin.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) (.f64 #s(literal 2 binary64) (sin.f64 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 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 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 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 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))
(/.f64 (.f64 (-.f64 #s(literal 1 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 1 binary64) (/.f64 (+.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #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 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 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 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/104976 binary64)) #s(literal 16/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))))
(.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 (+.f64 (neg.f64 x) (PI.f64))))
(.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 (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 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 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 (.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 (.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 (+.f64 (neg.f64 x) (PI.f64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/34012224 binary64)) #s(literal 64/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/104976 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/729 binary64) #s(literal 16/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 6 binary64)) #s(literal 64/729 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/5832 binary64) (pow.f64 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)))))) 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 (sin.f64 x) #s(literal 2 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))) #s(literal 8/3 binary64))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))))
(.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 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/2 binary64)) (.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(.f64 (.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (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 (.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 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))))) (sin.f64 x))
(.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(/.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 (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))) (sin.f64 x))

Outputs
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))

Calls

2 calls:

57.0ms	x
43.0ms	(/.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
99.4%	1	`x`
99.4%	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)

regimes8.0ms (0.1%)

Memory

-27.8MiB live, 17.1MiB allocated

Counts

6 → 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))
(.f64 (.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (sin (* x 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #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(approx (- ( 1/324 (pow x 4)) 4/9) #s(literal -4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 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))

Outputs
(.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)))

Calls

2 calls:

5.0ms	(/.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))
3.0ms	x

Results

Accuracy	Segments	Branch
64.1%	1	`x`
64.1%	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)

regimes5.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

4 → 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))
(.f64 (.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (sin (* x 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #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(approx (- ( 1/324 (pow x 4)) 4/9) #s(literal -4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64)))))

Outputs

#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (- (* 1/324 (pow x 4)) 4/9) #s(literal -4/9 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))))

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))
2.0ms	x

Results

Accuracy	Segments	Branch
61.0%	1	`x`
61.0%	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)

regimes4.0ms (0%)

Memory

12.5MiB live, 12.5MiB allocated

Accuracy

Total -0.7b remaining (-2.7%)

Threshold costs -0.7b (-2.7%)

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))

(*.f64 (*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 8/3 binary64))

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))
2.0ms	x

Results

Accuracy	Segments	Branch
60.6%	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))`
60.6%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify77.0ms (0.9%)

Memory

-13.6MiB live, 86.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	74
1	55	74
2	75	74
3	121	74
4	229	74
5	465	74
6	1140	74
7	4809	74

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 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)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(approx (- ( 1/324 (pow x 4)) 4/9) #s(literal -4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Outputs
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 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)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(approx (- ( 1/324 (pow x 4)) 4/9) #s(literal -4/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 2/3 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

soundness955.0ms (11.5%)

Memory

-10.6MiB live, 846.5MiB allocated

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	11	34
0	19	34
1	29	28
2	81	28
0	360	28
0	42	210
0	69	183
1	178	183
2	694	183
3	5866	183
0	8158	183
0	51	258
0	83	236
1	221	209
2	1279	193
0	8094	193
0	281	727
1	842	718
2	2532	711
3	6552	711
0	9059	666
0	90	225
1	292	225
2	833	219
3	3515	219
0	8076	201
0	159	446
1	552	446
2	1638	440
3	4344	440
0	8010	402

Stop Event

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

Compiler

Compiled 383 to 187 computations (51.2% saved)

preprocess126.0ms (1.5%)

Memory: 10.5MiB live, 112.5MiB allocated
Remove: (negabs x)
Compiler: Compiled 232 to 144 computations (37.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze231.0ms (2.8%)

sample2.3s (28%)

explain285.0ms (3.4%)

preprocess156.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify84.0ms (1%)

localize68.0ms (0.8%)

series10.0ms (0.1%)

simplify155.0ms (1.9%)

rewrite91.0ms (1.1%)

eval20.0ms (0.2%)

prune16.0ms (0.2%)

simplify257.0ms (3.1%)

localize124.0ms (1.5%)

series10.0ms (0.1%)

simplify218.0ms (2.6%)

rewrite96.0ms (1.2%)

eval137.0ms (1.7%)

prune50.0ms (0.6%)

simplify137.0ms (1.7%)

localize212.0ms (2.5%)

series9.0ms (0.1%)

simplify170.0ms (2%)

rewrite280.0ms (3.4%)

eval195.0ms (2.3%)

prune59.0ms (0.7%)

simplify184.0ms (2.2%)

localize514.0ms (6.2%)

series27.0ms (0.3%)

simplify396.0ms (4.8%)

rewrite363.0ms (4.4%)

eval115.0ms (1.4%)

prune42.0ms (0.5%)

regimes103.0ms (1.2%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

simplify77.0ms (0.9%)

soundness955.0ms (11.5%)

preprocess126.0ms (1.5%)

end0.0ms (0%)

Profiling