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

start0.0ms (0%)

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

analyze415.0ms (5.1%)

Memory

-40.5MiB live, 214.5MiB allocated; 87ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample1.8s (21.9%)

Memory

96.1MiB live, 2 510.9MiB allocated; 677ms collecting garbage

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 863.0ms

ival-sin: 449.0ms (52% of total)

ival-mult: 196.0ms (22.7% of total)

ival-div: 193.0ms (22.4% of total)

exact: 12.0ms (1.4% of total)

ival-true: 7.0ms (0.8% of total)

adjust: 3.0ms (0.3% of total)

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

Bogosity

explain156.0ms (1.9%)

Memory

-6.0MiB live, 320.1MiB allocated; 63ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
71	0	-	4	(9.258069447062442e-157)	`(/.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	118	(-2.6699431658950212e+101)	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	118	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	67	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	67

Confusion

	Predicted +	Predicted -
+	67	4
-	118	67

Precision

0.3621621621621622

Recall

0.9436619718309859

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	67	0	4
-	118	0	67

Precision?

0.3621621621621622

Recall?

0.9436619718309859

Freqs

test

number	freq
0	71
1	185

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

76.0ms

512×

valid

Compiler

Compiled 126 to 37 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-sin: 37.0ms (61.2% of total)

ival-mult: 15.0ms (24.8% of total)

ival-div: 7.0ms (11.6% of total)

exact: 1.0ms (1.7% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess125.0ms (1.5%)

Memory

11.1MiB live, 176.1MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(negabs x)

Compiler

Compiled 16 to 11 computations (31.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.3%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify119.0ms (1.5%)

Memory

1.4MiB live, 92.9MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize56.0ms (0.7%)

Memory

11.3MiB live, 55.0MiB allocated; 14ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 x)
accuracy	0.2265625	(.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	0.35546875	(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
accuracy	16.291458562660345	(/.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

48.0ms

256×

valid

Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-sin: 31.0ms (77.1% of total)

ival-div: 4.0ms (9.9% of total)

ival-mult: 4.0ms (9.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-31.6MiB live, 11.9MiB allocated; 15ms collecting garbage

Counts

5 → 20

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify181.0ms (2.2%)

Memory

15.7MiB live, 208.0MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

Calls

Call 1

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

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

rewrite48.0ms (0.6%)

Memory

-1.7MiB live, 43.0MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

5 → 41

Calls

Call 1

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

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

eval7.0ms (0.1%)

Memory: 14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 133 to 229 computations (79.8% saved)

prune44.0ms (0.5%)

Memory

-15.8MiB live, 40.1MiB allocated; 15ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	45	15	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	15	61

Accuracy

99.7%

Counts

61 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.8%	(/.f64 (/.f64 (.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) (sin.f64 x))
	74.2%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
	74.3%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
▶	28.8%	(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	29.0%	(/.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))
	27.9%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64))) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x))
	29.3%	(/.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))
▶	74.3%	(.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)))
	74.3%	(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
	99.2%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
▶	99.3%	(.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)))
▶	53.7%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
	53.6%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
	53.6%	#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))
▶	53.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 620 to 444 computations (28.4% saved)

simplify294.0ms (3.6%)

Memory

1.7MiB live, 192.6MiB allocated; 47ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	319
0	71	316
1	125	310
2	273	310
3	941	310
4	3427	310
5	7292	310
0	8820	310

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)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (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
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 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)
#s(literal 2/3 binary64)
x
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
(.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)
(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))
(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))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
#s(literal 17/30240 binary64)
(*.f64 x x)
x
#s(literal 1/180 binary64)
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (.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))
(.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)
(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))
(-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/18 binary64))
(.f64 #s(literal 1/1440 binary64) (.f64 x x))
#s(literal 1/1440 binary64)
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 4/3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sin.f64 x)
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(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)

Outputs
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 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
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 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)
#s(literal 2/3 binary64)
x
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
(.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)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(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))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(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))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
#s(literal 17/30240 binary64)
(*.f64 x x)
x
#s(literal 1/180 binary64)
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (/.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.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)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (.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))
(.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)
(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))
(-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/18 binary64))
(.f64 #s(literal 1/1440 binary64) (.f64 x x))
#s(literal 1/1440 binary64)
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 4/3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sin.f64 x)
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #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))
(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)
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)

localize205.0ms (2.5%)

Memory

16.3MiB live, 329.4MiB allocated; 54ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 x)
accuracy	0.21484375	(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
accuracy	0.27734375	(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
accuracy	16.346752479766028	(.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	0.1953125	(.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)
accuracy	0.2265625	(.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy	16.291458562660345	(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
accuracy	29.397547571008303	#s(approx (* (/ 8 3) (sin (* x 1/2))) (.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))
accuracy	0.0546875	(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
accuracy	0.060878759768442016	(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))
accuracy	0.19140625	(.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)
accuracy	29.476018208196727	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
accuracy	0.328125	(*.f64 #s(literal 2/3 binary64) x)
accuracy	29.354791566326092	#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	0.2421875	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
accuracy	0.27734375	(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
accuracy	0.38119125976844204	(.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)))

Samples

178.0ms

256×

valid

Compiler

Compiled 274 to 42 computations (84.7% saved)

Precisions

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

ival-mult: 82.0ms (58.1% of total)

const: 26.0ms (18.4% of total)

ival-sin: 17.0ms (12.1% of total)

ival-div: 5.0ms (3.5% of total)

ival-pow2: 5.0ms (3.5% of total)

ival-add: 4.0ms (2.8% of total)

ival-sub: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

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

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

series20.0ms (0.2%)

Memory

6.4MiB live, 62.9MiB allocated; 12ms collecting garbage

Counts

19 → 69

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (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)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
(.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)
(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))
(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 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (.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))
(.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)
(.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))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(sin.f64 x)
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))

Outputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
4/3
(+ 4/3 (* 1/6 (pow x 2)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(* 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)))
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
1/18
(+ 1/18 (* 1/180 (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))))
(* 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))))
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
1/180
(+ 1/180 (* 17/30240 (pow x 2)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(sin (* 1/2 x))
(* 17/30240 (pow x 7))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 6))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 4))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(* 1/1440 (pow x 5))
(* (pow x 5) (- 1/1440 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/1440 (/ 4/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(pow (sin (* 1/2 x)) 2)
(/ 8/3 (sin x))
(sin x)
(* 17/30240 (pow x 2))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) 1/1440)))
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) (+ 1/1440 (/ 4/3 (pow x 4))))))

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (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)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (/ (* (* (/ 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))) (* (+ (* (- (* 1/1440 (* x x)) 1/18) (* x x)) 4/3) x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x)) (sin x) (+ (* 17/30240 (* x x)) 1/180))
4.0ms	x	@	-inf	((* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (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)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (/ (* (* (/ 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))) (* (+ (* (- (* 1/1440 (* x x)) 1/18) (* x x)) 4/3) x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x)) (sin x) (+ (* 17/30240 (* x x)) 1/180))
3.0ms	x	@	0	((* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (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)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (/ (* (* (/ 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))) (* (+ (* (- (* 1/1440 (* x x)) 1/18) (* x x)) 4/3) x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x)) (sin x) (+ (* 17/30240 (* x x)) 1/180))

Time

Variable

Point

Expression

11.0ms

inf

((* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (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)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (/ (* (* (/ 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))) (* (+ (* (- (* 1/1440 (* x x)) 1/18) (* x x)) 4/3) x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x)) (sin x) (+ (* 17/30240 (* x x)) 1/180))

4.0ms

-inf

((* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (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)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (/ (* (* (/ 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))) (* (+ (* (- (* 1/1440 (* x x)) 1/18) (* x x)) 4/3) x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x)) (sin x) (+ (* 17/30240 (* x x)) 1/180))

3.0ms

((* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (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)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (/ (* (* (/ 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))) (* (+ (* (- (* 1/1440 (* x x)) 1/18) (* x x)) 4/3) x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x)) (sin x) (+ (* 17/30240 (* x x)) 1/180))

simplify180.0ms (2.2%)

Memory

-7.2MiB live, 273.5MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	773
1	735	773
2	2174	765
3	6023	765
0	8121	716

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 68

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
4/3
(+ 4/3 (* 1/6 (pow x 2)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(* 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)))
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
1/18
(+ 1/18 (* 1/180 (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))))
(* 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))))
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
1/180
(+ 1/180 (* 17/30240 (pow x 2)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(sin (* 1/2 x))
(* 17/30240 (pow x 7))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 6))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 4))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(* 1/1440 (pow x 5))
(* (pow x 5) (- 1/1440 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/1440 (/ 4/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(pow (sin (* 1/2 x)) 2)
(/ 8/3 (sin x))
(sin x)
(* 17/30240 (pow x 2))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) 1/1440)))
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) (+ 1/1440 (/ 4/3 (pow x 4))))))

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 5/288 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 4/3 binary64))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 61/34560 binary64) (.f64 x x) #s(literal 5/288 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 4/3 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 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(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))
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
(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))
1/18
#s(literal 1/18 binary64)
(+ 1/18 (* 1/180 (pow x 2)))
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
(+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))
(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))
(* 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))
(* 1/4 (pow x 2))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64))) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
(/ 8/3 x)
(/.f64 #s(literal 8/3 binary64) x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/135 binary64) (.f64 x x) #s(literal 4/9 binary64)) (.f64 x x) #s(literal 8/3 binary64)) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/5670 binary64) (.f64 x x) #s(literal 7/135 binary64)) (.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x)
1/180
#s(literal 1/180 binary64)
(+ 1/180 (* 17/30240 (pow x 2)))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 17/30240 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/30240 binary64))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/180 binary64) (.f64 x x)) #s(literal 17/30240 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) #s(literal 17/30240 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) #s(literal 17/30240 binary64))) (/.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* 17/30240 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/30240 binary64))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/180 binary64) (.f64 x x)) #s(literal 17/30240 binary64)))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) #s(literal 17/30240 binary64))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) #s(literal 17/30240 binary64))) (/.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 17/30240 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/30240 binary64))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/180 binary64) (.f64 x x)) #s(literal 17/30240 binary64)))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) #s(literal 17/30240 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))
(* 1/1440 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/1440 binary64))
(* (pow x 5) (- 1/1440 (* 1/18 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/18 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/1440 (/ 4/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 1/1440 binary64))) (pow.f64 x #s(literal 5 binary64)))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(sin x)
(sin.f64 x)
(* 17/30240 (pow x 2))
(.f64 #s(literal 17/30240 binary64) (.f64 x x))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/18 binary64) (.f64 x x))) x) x) #s(literal 17/30240 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))))
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) 1/1440)))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 1/1440 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) (+ 1/1440 (/ 4/3 (pow x 4))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 1/1440 binary64)) (/.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 4 binary64)))))

rewrite316.0ms (3.9%)

Memory

5.1MiB live, 312.4MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	248
0	71	245
1	206	239
2	1051	239
0	8841	239

Stop Event

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

Counts

19 → 375

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (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)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
(.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)
(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))
(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 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (.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))
(.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)
(.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))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(sin.f64 x)
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))

Outputs
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(.f64 (.f64 (.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 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))))
(.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 (pow.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 #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 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(.f64 #s(literal 8/3 binary64) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
(.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)))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))) (neg.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 17/5443200 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 17/30240 binary64)) #s(literal 1/180 binary64)))
(/.f64 (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) (-.f64 (+.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 17/5443200 binary64) (*.f64 x x))))
(/.f64 (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 17/5443200 binary64) (.f64 x x)))))
(neg.f64 (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64)))
(fma.f64 (fabs.f64 (*.f64 #s(literal -17/30240 binary64) x)) x #s(literal 1/180 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 17/30240 binary64) x)) x #s(literal 1/180 binary64))
(fma.f64 (*.f64 #s(literal -17/30240 binary64) x) (neg.f64 x) #s(literal 1/180 binary64))
(fma.f64 (*.f64 #s(literal 17/30240 binary64) x) x #s(literal 1/180 binary64))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -17/30240 binary64) x) #s(literal 1/180 binary64))
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal -17/30240 binary64) x)) #s(literal 1/180 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal 17/30240 binary64) x)) #s(literal 1/180 binary64))
(fma.f64 x (*.f64 #s(literal 17/30240 binary64) x) #s(literal 1/180 binary64))
(-.f64 (/.f64 #s(literal 1/32400 binary64) (-.f64 #s(literal 1/180 binary64) (.f64 (.f64 x x) #s(literal 17/30240 binary64)))) (/.f64 (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/180 binary64) (.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 17/30240 binary64)) #s(literal 1/180 binary64))) (/.f64 #s(literal 1/32400 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal 17/30240 binary64)) #s(literal 1/180 binary64))))
(-.f64 #s(literal 1/180 binary64) (.f64 #s(literal -17/30240 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1/5832000 binary64) (-.f64 (+.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 17/5443200 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))))
(+.f64 (/.f64 (.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 17/5443200 binary64) (.f64 x x)))) (/.f64 #s(literal 1/5832000 binary64) (-.f64 (+.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))))
(+.f64 (/.f64 #s(literal 1/5832000 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 17/5443200 binary64) (.f64 x x))))) (/.f64 (.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 17/5443200 binary64) (*.f64 x x))))))
(+.f64 (/.f64 (.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 17/5443200 binary64) (.f64 x x))))) (/.f64 #s(literal 1/5832000 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 17/5443200 binary64) (*.f64 x x))))))
(+.f64 (.f64 (.f64 x x) #s(literal 17/30240 binary64)) #s(literal 1/180 binary64))
(+.f64 #s(literal 1/180 binary64) (.f64 (neg.f64 (.f64 #s(literal -17/30240 binary64) x)) x))
(+.f64 #s(literal 1/180 binary64) (.f64 (.f64 x x) #s(literal 17/30240 binary64)))

eval136.0ms (1.7%)

Memory: -16.8MiB live, 163.0MiB allocated; 57ms collecting garbage
Compiler: Compiled 20 422 to 2 003 computations (90.2% saved)

prune73.0ms (0.9%)

Memory

-7.6MiB live, 81.2MiB allocated; 12ms collecting garbage

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	469	19	488
Fresh	5	5	10
Picked	2	3	5
Done	0	0	0
Total	476	27	503

Accuracy

99.9%

Counts

503 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.2%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
	49.8%	(/.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)))
▶	74.3%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	28.6%	(/.f64 (.f64 (.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (.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)) (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))
▶	29.0%	(/.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))
	29.3%	(/.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))
✓	74.3%	(.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)))
	29.2%	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
	74.3%	(.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))
	49.6%	(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	49.8%	(.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
▶	99.2%	(.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)))))
	49.9%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
▶	77.8%	(.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
	77.8%	(.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)))))
	50.8%	(.f64 (exp.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)))
	29.3%	(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	58.1%	(.f64 #s(approx ( (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
	27.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)))) (.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 #s(literal 2/3 binary64) x))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64))) (.f64 #s(literal 2/3 binary64) x))))
	53.0%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 2/3 binary64)) x))))
	53.0%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (-.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))))
✓	53.7%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
	53.6%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
▶	53.6%	#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))
✓	53.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
	8.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) #s(literal 17/30240 binary64))) (/.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))))
	8.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))))))

Compiler

Compiled 1 502 to 957 computations (36.3% saved)

simplify136.0ms (1.7%)

Memory

47.1MiB live, 187.4MiB allocated; 33ms collecting garbage

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)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
cost-diff	2	(.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
cost-diff	3	(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
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)) #s(literal 8/3 binary64))
cost-diff	0	(/.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))
cost-diff	2	(.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))))
cost-diff	0	(*.f64 #s(literal 4/3 binary64) x)
cost-diff	0	#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
cost-diff	0	(.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))))
cost-diff	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))
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	(*.f64 x #s(literal 1/2 binary64))
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	2	(.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)))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	255
0	65	249
1	105	246
2	190	236
3	424	236
4	954	236
5	1495	236
6	2115	236
7	3201	236
8	5759	236
0	8577	236

Stop Event

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

Calls

Call 1

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

Outputs
(.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 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.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)
(.f64 #s(literal 8/3 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)))
#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 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 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 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.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(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.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))))
(.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 4/3 binary64) x)
#s(literal 4/3 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)
#s(literal 1/2 binary64)
(sin.f64 x)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.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))))
(.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)) #s(literal 8/3 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)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 8/3 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)
(sin.f64 x)
(.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sqrt.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 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) 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)
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)

localize198.0ms (2.4%)

Memory

-37.0MiB live, 278.8MiB allocated; 115ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1875	(.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
accuracy	0.21484375	(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
accuracy	0.29296875	(.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
accuracy	0.3671875	(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
accuracy	0.0	(sin.f64 x)
accuracy	0.16015625	(.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))))
accuracy	0.28125	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
accuracy	16.221146062660345	(/.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))
accuracy	0.16015625	(.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))))
accuracy	0.25	(*.f64 #s(literal 4/3 binary64) x)
accuracy	15.689157587137457	#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
accuracy	16.221146062660345	(/.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))
accuracy	0.0	(*.f64 x x)
accuracy	0.05859375	(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
accuracy	0.203125	(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
accuracy	16.06585067087571	#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	0.08203125	(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
accuracy	0.10384750976844201	(.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)))))
accuracy	0.28125	(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))

Samples

130.0ms	201×	0	valid
25.0ms	55×	0	invalid

Compiler

Compiled 246 to 36 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-mult: 79.0ms (58.7% of total)

ival-sin: 20.0ms (14.9% of total)

const: 12.0ms (8.9% of total)

ival-add: 10.0ms (7.4% of total)

ival-div: 8.0ms (5.9% of total)

ival-sqrt: 2.0ms (1.5% of total)

ival-pow2: 2.0ms (1.5% of total)

exact: 1.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

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

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

series40.0ms (0.5%)

Memory

-39.0MiB live, 20.1MiB allocated; 10ms collecting garbage

Counts

23 → 52

Calls

Call 1

Inputs
(.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))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.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 (.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 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 4/3 binary64) x)
(.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))))
(/.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 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(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))))
(sin.f64 x)
(/.f64 #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
(+ 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))))
(* 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))))
4/3
(+ 4/3 (* 1/6 (pow x 2)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(* (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)
(* 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))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(sqrt (sin (* 1/2 x)))
(sin x)
(/ 8/3 (sin x))

Calls

3 calls:

Time

Variable

Point

Expression

34.0ms

-inf

((* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* 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))) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) (* (sin (* 1/2 x)) 8/3) (sin (* 1/2 x)) (pow (sqrt (sin (* x 1/2))) 2) (* (* (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) (sqrt (sin (* x 1/2))) (* 8/3 (sin (* x 1/2))) (sin x) (/ 8/3 (sin x)))

3.0ms

inf

((* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* 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))) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) (* (sin (* 1/2 x)) 8/3) (sin (* 1/2 x)) (pow (sqrt (sin (* x 1/2))) 2) (* (* (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) (sqrt (sin (* x 1/2))) (* 8/3 (sin (* x 1/2))) (sin x) (/ 8/3 (sin x)))

2.0ms

((* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* 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))) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) (* (sin (* 1/2 x)) 8/3) (sin (* 1/2 x)) (pow (sqrt (sin (* x 1/2))) 2) (* (* (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) (sqrt (sin (* x 1/2))) (* 8/3 (sin (* x 1/2))) (sin x) (/ 8/3 (sin x)))

simplify270.0ms (3.3%)

Memory

44.5MiB live, 226.1MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	573
1	682	554
2	2222	545
3	5965	540
0	8174	492

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 51

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
(+ 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))))
(* 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))))
4/3
(+ 4/3 (* 1/6 (pow x 2)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(* (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)
(* 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))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(sqrt (sin (* 1/2 x)))
(sin x)
(/ 8/3 (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
#s(literal 2/3 binary64)
(+ 2/3 (* 1/18 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(pow x 2)
(*.f64 x 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))
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 5/288 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 4/3 binary64))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/34560 binary64) (.f64 x x) #s(literal 5/288 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))
(* (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)
(* 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 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* 1/18 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/18 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #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))
(* 8/3 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(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))

rewrite138.0ms (1.7%)

Memory

-17.0MiB live, 297.2MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	202
0	65	158
1	140	155
2	462	155
3	3069	91
0	8820	91

Stop Event

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

Counts

23 → 325

Calls

Call 1

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

Outputs
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal 0 binary64))
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x) (.f64 (sin.f64 x) (sinh.f64 (log.f64 #s(literal 0 binary64))))) (.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
(/.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 0 binary64) (sin.f64 x))
(/.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x))))
(fma.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (*.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (cosh.f64 (log.f64 #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (sinh.f64 (log.f64 #s(literal 0 binary64)))))
(fma.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (cosh.f64 (log.f64 #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sinh.f64 (log.f64 #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(+.f64 (.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x))) (.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x))))
(+.f64 (.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) (.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (cosh.f64 (log.f64 #s(literal 0 binary64)))) (.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (sinh.f64 (log.f64 #s(literal 0 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (cosh.f64 (log.f64 #s(literal 0 binary64)))) (.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sinh.f64 (log.f64 #s(literal 0 binary64)))))
(+.f64 (/.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x)) (/.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal 0 binary64))
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x) (.f64 (sin.f64 x) (sinh.f64 (log.f64 #s(literal 0 binary64))))) (.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
(/.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 0 binary64) (sin.f64 x))
(/.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x))))
(fma.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (*.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (cosh.f64 (log.f64 #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (sinh.f64 (log.f64 #s(literal 0 binary64)))))
(fma.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (cosh.f64 (log.f64 #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sinh.f64 (log.f64 #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(+.f64 (.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x))) (.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x))))
(+.f64 (.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) (.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (cosh.f64 (log.f64 #s(literal 0 binary64)))) (.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (sinh.f64 (log.f64 #s(literal 0 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (cosh.f64 (log.f64 #s(literal 0 binary64)))) (.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sinh.f64 (log.f64 #s(literal 0 binary64)))))
(+.f64 (/.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x)) (/.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x)))
#s(literal 0 binary64)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x))
(.f64 (/.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 -1/5832 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)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64))))
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#s(literal 0 binary64)
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eval146.0ms (1.8%)

Memory: -14.0MiB live, 161.5MiB allocated; 22ms collecting garbage
Compiler: Compiled 12 384 to 1 435 computations (88.4% saved)

prune45.0ms (0.6%)

Memory

17.8MiB live, 63.8MiB allocated; 4ms collecting garbage

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	443	9	452
Fresh	8	11	19
Picked	0	5	5
Done	0	3	3
Total	451	28	479

Accuracy

99.9%

Counts

479 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.2%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
	49.8%	(/.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)))
✓	74.3%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
✓	29.0%	(/.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))
▶	29.3%	(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
	29.3%	(/.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))
	4.3%	(/.f64 #s(literal 0 binary64) (sin.f64 x))
✓	74.3%	(.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)))
	29.2%	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
▶	74.3%	(.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))
	49.6%	(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	49.8%	(.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
✓	99.2%	(.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)))))
▶	49.9%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
✓	77.8%	(.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
	50.8%	(.f64 (exp.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)))
	29.3%	(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
▶	58.1%	(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
	53.6%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/18 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
	53.1%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) x) (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64))))
	52.7%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (.f64 x x) #s(literal 4/9 binary64)))))
✓	53.7%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
	53.6%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
✓	53.6%	#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))
	53.3%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) x))
▶	53.3%	#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))
	53.0%	#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)))))
✓	53.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 1 054 to 757 computations (28.2% saved)

simplify140.0ms (1.7%)

Memory

15.7MiB live, 149.6MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	239
0	65	226
1	118	220
2	217	220
3	507	218
4	1256	218
5	2251	218
6	3800	218
7	6787	218
0	8030	216

Stop Event

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

Calls

Call 1

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

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

localize377.0ms (4.6%)

Memory

3.2MiB live, 390.5MiB allocated; 48ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 (*.f64 #s(literal 1 binary64) x))
accuracy	0.21484375	(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
accuracy	15.369341767849836	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))))
accuracy	16.253002479766028	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
accuracy	0.25	(*.f64 #s(literal 4/3 binary64) x)
accuracy	15.68817894161824	#s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))
accuracy	15.689157587137457	#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
accuracy	16.221146062660345	(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.29296875	(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
accuracy	14.663127421901114	#s(approx (* (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64))
accuracy	0.05859375	(fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64))
accuracy	0.19921875	(.f64 (fma.f64 (.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x)
accuracy	0.32421875	(*.f64 #s(literal -1/18 binary64) x)
accuracy	16.267353958928364	#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))
accuracy	0.0	(sin.f64 x)
accuracy	0.125	(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
accuracy	0.265625	(.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	16.176432337430448	(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))

Samples

142.0ms	69×	2	valid
68.0ms	67×	0	valid
49.0ms	55×	0	invalid
37.0ms	19×	3	valid
35.0ms	46×	1	valid

Compiler

Compiled 214 to 39 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-cos: 86.0ms (33.2% of total)

adjust: 45.0ms (17.4% of total)

ival-sqrt: 28.0ms (10.8% of total)

ival-mult: 28.0ms (10.8% of total)

ival-sub: 22.0ms (8.5% of total)

ival-sin: 18.0ms (6.9% of total)

const: 16.0ms (6.2% of total)

ival-div: 8.0ms (3.1% of total)

ival-pow2: 7.0ms (2.7% of total)

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

exact: 1.0ms (0.4% of total)

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

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

series31.0ms (0.4%)

Memory

-13.6MiB live, 29.7MiB allocated; 10ms collecting garbage

Counts

23 → 66

Calls

Call 1

Inputs
(.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))
#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 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64))
(*.f64 #s(literal -1/18 binary64) x)
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 4/3 binary64) x)
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x)))
(sin.f64 x)
#s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(cos.f64 (*.f64 #s(literal 1 binary64) 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))))))))
(* 1/4 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))))
(* 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))))
(* x (+ 2/3 (* -1/18 (pow x 2))))
2/3
(+ 2/3 (* -1/18 (pow x 2)))
(* -1/18 x)
4/3
(+ 4/3 (* 1/6 (pow x 2)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(* 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
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))
(* 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)
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)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(pow (sin (* 1/2 x)) 2)
(sin (* 1/2 x))
(* -1/18 (pow x 3))
(* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* -1/18 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))
(- 1/2 (* 1/2 (cos x)))
(* 1/2 (cos x))
(sin x)
(/ 8/3 (sin x))
(cos x)
(* -1 (* (pow x 3) (- 1/18 (* 2/3 (/ 1 (pow x 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

22.0ms

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

4.0ms

-inf

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

4.0ms

inf

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

simplify222.0ms (2.7%)

Memory

12.8MiB live, 206.1MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	664
1	755	658
2	2211	658
3	5557	657
0	8139	601

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

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))))))))
(* 1/4 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))))
(* 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))))
(* x (+ 2/3 (* -1/18 (pow x 2))))
2/3
(+ 2/3 (* -1/18 (pow x 2)))
(* -1/18 x)
4/3
(+ 4/3 (* 1/6 (pow x 2)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(* 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
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))
(* 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)
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)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(pow (sin (* 1/2 x)) 2)
(sin (* 1/2 x))
(* -1/18 (pow x 3))
(* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* -1/18 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))
(- 1/2 (* 1/2 (cos x)))
(* 1/2 (cos x))
(sin x)
(/ 8/3 (sin x))
(cos x)
(* -1 (* (pow x 3) (- 1/18 (* 2/3 (/ 1 (pow x 2))))))

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(* 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))
(* 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))
(* 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)
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))
(* -1/18 x)
(*.f64 #s(literal -1/18 binary64) x)
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 5/288 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 4/3 binary64))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 61/34560 binary64) (.f64 x x) #s(literal 5/288 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 4/3 binary64))
(* 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 (.f64 #s(literal -1/18 binary64) 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
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))
(fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
(* 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 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)
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))
(* 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))
(/ (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))
(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) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/18 (pow x 2))
(.f64 #s(literal -1/18 binary64) (.f64 x x))
(* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (.f64 x x))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (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))
(* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(- 1/2 (* 1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(* 1/2 (cos x))
(*.f64 (cos.f64 x) #s(literal 1/2 binary64))
(sin x)
(sin.f64 x)
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(cos x)
(cos.f64 x)
(* -1 (* (pow x 3) (- 1/18 (* 2/3 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal -2/3 binary64) (.f64 x x))))

rewrite304.0ms (3.7%)

Memory

-2.4MiB live, 474.5MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	208
0	65	193
1	172	189
2	699	189
3	5336	189
0	8158	183

Stop Event

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

Counts

23 → 677

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (cos.f64 x) (-.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (-.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 (cos.f64 x) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 x) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) #s(literal 1/4 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (fma.f64 (.f64 (cos.f64 x) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) #s(literal 1/4 binary64))) (-.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) #s(literal 1/16 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))))) (.f64 (sqrt.f64 (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))) (.f64 (/.f64 #s(literal 8/3 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 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (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 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 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal -8/3 binary64) (.f64 (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sin.f64 x)))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 8/3 binary64) (.f64 (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (sin.f64 x))))
(.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (/.f64 (.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))))
(.f64 (neg.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (.f64 (neg.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 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -8/3 binary64) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 x)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(.f64 #s(literal -8/3 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 x)))))
(.f64 #s(literal -8/3 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sin.f64 x)))))
(*.f64 #s(literal -8/3 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 (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 (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 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(.f64 (.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 (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 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))))
(.f64 #s(literal 8/3 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (sin.f64 x))))
(*.f64 #s(literal 8/3 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(literal 2 binary64))
(/.f64 (.f64 (+.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (neg.f64 (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (+.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (.f64 (.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal -1/2 binary64)) (cos.f64 x)) (.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal -1/2 binary64)) (cos.f64 x)))) (-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal -1/2 binary64)) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal -1/2 binary64)) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal -1/2 binary64)) (cos.f64 x)) (.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal -1/2 binary64)) (cos.f64 x))) (.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal -1/2 binary64)) (cos.f64 x))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) (neg.f64 (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -8/3 binary64))) (neg.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64))) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -8/3 binary64))) (neg.f64 (.f64 (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 8/3 binary64))) (.f64 (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -8/3 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x))))
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(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
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(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))))
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(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)))
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#s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64)))
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(cos.f64 x)
(+.f64 (.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(+.f64 (.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 (neg.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 (neg.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 (neg.f64 x) #s(literal 1/2 binary64)))) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 (neg.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal -1/2 binary64) x))))
(+.f64 (.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (.f64 x x)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (.f64 x x))))) (.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (.f64 x x)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (.f64 x x))))))
(+.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) (.f64 (cos.f64 x) #s(literal 1 binary64)))

eval143.0ms (1.8%)

Memory: -21.7MiB live, 182.7MiB allocated; 27ms collecting garbage
Compiler: Compiled 18 561 to 2 507 computations (86.5% saved)

prune94.0ms (1.2%)

Memory

17.6MiB live, 106.6MiB allocated; 11ms collecting garbage

Pruning

48 alts after pruning (39 fresh and 9 done)

	Pruned	Kept	Total
New	665	30	695
Fresh	6	9	15
Picked	2	3	5
Done	2	6	8
Total	675	48	723

Accuracy

100.0%

Counts

723 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.9%	(fma.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
	47.4%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (.f64 (.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal -1/2 binary64)) (cos.f64 x)) (.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal -1/2 binary64)) (cos.f64 x)))) (-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal -1/2 binary64)) (cos.f64 x))))
	49.8%	(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
	74.2%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
✓	74.3%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	4.7%	(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (neg.f64 (+.f64 (PI.f64) x))))
	28.2%	(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
	29.3%	(/.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))
	4.3%	(/.f64 #s(literal 0 binary64) (sin.f64 x))
	49.7%	(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 8/3 binary64) (.f64 (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (sin.f64 x))))
	49.9%	(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
✓	74.3%	(.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)))
	49.9%	(*.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
	52.7%	(.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
	74.3%	(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64))
✓	74.3%	(.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))
	49.6%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
✓	99.2%	(.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)))))
	49.8%	(.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))
	49.6%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	50.8%	(.f64 (exp.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)))
	29.3%	(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	53.7%	(.f64 #s(approx (/ (pow (sin ( 1/2 x)) 2) (sin x)) (.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)) #s(literal 8/3 binary64))
	53.6%	(.f64 #s(approx (/ (pow (sin ( 1/2 x)) 2) (sin x)) (.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)) #s(literal 8/3 binary64))
	55.2%	(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
	8.4%	(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (pow.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))
	8.5%	(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 #s(literal 2 binary64))))
	8.5%	(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
	8.5%	(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64))))
	9.4%	(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (+.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (PI.f64))))
✓	58.1%	(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
	7.9%	(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))))
	57.6%	(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
	7.6%	(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (cos.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
	9.1%	(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (cos.f64 (+.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	53.3%	(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) #s(approx (sin (* 1/2 x)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)))
	53.6%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/18 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
	53.1%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) x) (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64))))
	52.7%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (.f64 x x) #s(literal 4/9 binary64)))))
✓	53.7%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
	53.6%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
✓	53.6%	#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))
✓	53.3%	#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))
	53.0%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 (.f64 #s(literal -1/18 binary64) x) x) #s(literal 2/3 binary64)))))
	25.8%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(approx (+ ( (* -1/18 x) x) 2/3) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (.f64 x x))) x))
	3.7%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(approx (+ ( (* -1/18 x) x) 2/3) (.f64 #s(literal -1/18 binary64) (.f64 x x))) x))
✓	53.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
	21.2%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* -1/18 x) x) 2/3) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal -2/3 binary64) (.f64 x x))))))

Compiler

Compiled 2 936 to 1 198 computations (59.2% saved)

regimes100.0ms (1.2%)

Memory

-15.6MiB live, 82.1MiB allocated; 17ms collecting garbage

Counts

74 → 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 #s(approx (+ ( (* -1/18 x) x) 2/3) (.f64 #s(literal -1/18 binary64) (.f64 x x))) 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))
#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 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)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/18 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) #s(approx (sin (* 1/2 x)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
(.f64 #s(approx (/ (pow (sin ( 1/2 x)) 2) (sin x)) (.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)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(approx (+ ( (* -1/18 x) x) 2/3) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (.f64 x x))) x))
(.f64 #s(approx (/ (pow (sin ( 1/2 x)) 2) (sin x)) (.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)) #s(literal 8/3 binary64))
(.f64 #s(approx ( (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 0 binary64) (sin.f64 x))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (+.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (PI.f64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 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 (* (+ (* (* -1/18 x) x) 2/3) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal -2/3 binary64) (.f64 x x))))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (cos.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (cos.f64 (+.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (neg.f64 (+.f64 (PI.f64) x))))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #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 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) x) (fma.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 #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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 (.f64 #s(literal -1/18 binary64) x) x) #s(literal 2/3 binary64)))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (pow.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 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)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.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 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (.f64 x x) #s(literal 4/9 binary64)))))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64))) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 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 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (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 (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 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (/.f64 (sin.f64 (.f64 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 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 #s(literal 4/3 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 (-.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 8/3 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 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) #s(literal 17/30240 binary64))) (/.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (-.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))))
(/.f64 (.f64 (.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (.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)) (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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)))) (.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 #s(literal 2/3 binary64) x))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64))) (.f64 #s(literal 2/3 binary64) x))))
(.f64 (exp.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 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.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)) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64))
(.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 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 2/3 binary64)) x))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 8/3 binary64) (.f64 (fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (sin.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) x))))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (.f64 (.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal -1/2 binary64)) (cos.f64 x)) (.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal -1/2 binary64)) (cos.f64 x)))) (-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal -1/2 binary64)) (cos.f64 x))))

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

Calls

2 calls:

55.0ms	x
40.0ms	(/.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
99.3%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
99.3%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes34.0ms (0.4%)

Memory

-11.0MiB live, 78.7MiB allocated; 13ms collecting garbage

Counts

51 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(approx (+ ( (* -1/18 x) x) 2/3) (.f64 #s(literal -1/18 binary64) (.f64 x x))) 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))
#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 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)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/18 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) #s(approx (sin (* 1/2 x)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
(.f64 #s(approx (/ (pow (sin ( 1/2 x)) 2) (sin x)) (.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)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(approx (+ ( (* -1/18 x) x) 2/3) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (.f64 x x))) x))
(.f64 #s(approx (/ (pow (sin ( 1/2 x)) 2) (sin x)) (.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)) #s(literal 8/3 binary64))
(.f64 #s(approx ( (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 0 binary64) (sin.f64 x))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (+.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (PI.f64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 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 (* (+ (* (* -1/18 x) x) 2/3) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal -2/3 binary64) (.f64 x x))))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (cos.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (cos.f64 (+.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (neg.f64 (+.f64 (PI.f64) x))))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #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 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) x) (fma.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 #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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 (.f64 #s(literal -1/18 binary64) x) x) #s(literal 2/3 binary64)))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (pow.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 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)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.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 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (.f64 x x) #s(literal 4/9 binary64)))))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64))) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 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 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (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)))

Outputs

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

Calls

2 calls:

16.0ms	x
12.0ms	(/.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%	3	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
99.4%	2	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes35.0ms (0.4%)

Memory

-13.9MiB live, 44.1MiB allocated; 7ms collecting garbage

Counts

46 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(approx (+ ( (* -1/18 x) x) 2/3) (.f64 #s(literal -1/18 binary64) (.f64 x x))) 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))
#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 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)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/18 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) #s(approx (sin (* 1/2 x)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
(.f64 #s(approx (/ (pow (sin ( 1/2 x)) 2) (sin x)) (.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)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(approx (+ ( (* -1/18 x) x) 2/3) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (.f64 x x))) x))
(.f64 #s(approx (/ (pow (sin ( 1/2 x)) 2) (sin x)) (.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)) #s(literal 8/3 binary64))
(.f64 #s(approx ( (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 0 binary64) (sin.f64 x))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (+.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (PI.f64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 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 (* (+ (* (* -1/18 x) x) 2/3) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal -2/3 binary64) (.f64 x x))))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (cos.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (cos.f64 (+.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (neg.f64 (+.f64 (PI.f64) x))))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #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 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) x) (fma.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 #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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 (.f64 #s(literal -1/18 binary64) x) x) #s(literal 2/3 binary64)))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (pow.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 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)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.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 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (.f64 x x) #s(literal 4/9 binary64)))))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64))) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))))))

Outputs

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes20.0ms (0.3%)

Memory

41.9MiB live, 41.9MiB allocated; 0ms collecting garbage

Counts

35 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(approx (+ ( (* -1/18 x) x) 2/3) (.f64 #s(literal -1/18 binary64) (.f64 x x))) 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))
#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 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)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/18 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) #s(approx (sin (* 1/2 x)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
(.f64 #s(approx (/ (pow (sin ( 1/2 x)) 2) (sin x)) (.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)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(approx (+ ( (* -1/18 x) x) 2/3) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (.f64 x x))) x))
(.f64 #s(approx (/ (pow (sin ( 1/2 x)) 2) (sin x)) (.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)) #s(literal 8/3 binary64))
(.f64 #s(approx ( (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 0 binary64) (sin.f64 x))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (+.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (PI.f64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 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 (* (+ (* (* -1/18 x) x) 2/3) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal -2/3 binary64) (.f64 x x))))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (cos.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (cos.f64 (+.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (neg.f64 (+.f64 (PI.f64) x))))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #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 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) x) (fma.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 #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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 (.f64 #s(literal -1/18 binary64) x) x) #s(literal 2/3 binary64)))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (pow.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))

Outputs

(*.f64 #s(approx (* (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (pow.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))

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

Calls

2 calls:

9.0ms	x
9.0ms	(/.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
60.0%	2	`(/.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))`
58.1%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes61.0ms (0.7%)

Memory

-14.1MiB live, 32.1MiB allocated; 3ms collecting garbage

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(approx (+ ( (* -1/18 x) x) 2/3) (.f64 #s(literal -1/18 binary64) (.f64 x x))) 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))
#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 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)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/18 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) #s(approx (sin (* 1/2 x)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
(.f64 #s(approx (/ (pow (sin ( 1/2 x)) 2) (sin x)) (.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)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(approx (+ ( (* -1/18 x) x) 2/3) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (.f64 x x))) x))
(.f64 #s(approx (/ (pow (sin ( 1/2 x)) 2) (sin x)) (.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)) #s(literal 8/3 binary64))
(.f64 #s(approx ( (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 0 binary64) (sin.f64 x))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (+.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (PI.f64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 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 (* (+ (* (* -1/18 x) x) 2/3) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal -2/3 binary64) (.f64 x x))))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (cos.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (cos.f64 (+.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (neg.f64 (+.f64 (PI.f64) x))))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #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 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) x) (fma.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 #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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (.f64 (.f64 #s(literal -1/18 binary64) x) x) #s(literal 2/3 binary64)))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 #s(literal 2 binary64))))

Outputs

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

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

Calls

1 calls:

59.0ms

(/.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
60.0%	2	`(/.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)

regimes9.0ms (0.1%)

Memory

-19.0MiB live, 26.2MiB allocated; 3ms collecting garbage

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(approx (+ ( (* -1/18 x) x) 2/3) (.f64 #s(literal -1/18 binary64) (.f64 x x))) 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))
#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 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)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/18 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) #s(approx (sin (* 1/2 x)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
(.f64 #s(approx (/ (pow (sin ( 1/2 x)) 2) (sin x)) (.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)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(approx (+ ( (* -1/18 x) x) 2/3) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (.f64 x x))) x))
(.f64 #s(approx (/ (pow (sin ( 1/2 x)) 2) (sin x)) (.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)) #s(literal 8/3 binary64))
(.f64 #s(approx ( (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 0 binary64) (sin.f64 x))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64))))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (+.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (PI.f64))))

Outputs

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

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

Calls

1 calls:

8.0ms

(/.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
60.0%	2	`(/.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)

regimes6.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Counts

16 → 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 #s(approx (+ ( (* -1/18 x) x) 2/3) (.f64 #s(literal -1/18 binary64) (.f64 x x))) 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))
#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 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)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/18 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) #s(approx (sin (* 1/2 x)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
(.f64 #s(approx (/ (pow (sin ( 1/2 x)) 2) (sin x)) (.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)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(approx (+ ( (* -1/18 x) x) 2/3) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (.f64 x x))) x))
(.f64 #s(approx (/ (pow (sin ( 1/2 x)) 2) (sin x)) (.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)) #s(literal 8/3 binary64))
(.f64 #s(approx ( (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 0 binary64) (sin.f64 x))

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

Calls

1 calls:

4.0ms

(/.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
58.1%	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 16 to 11 computations (31.3% saved)

regimes11.0ms (0.1%)

Memory

-13.0MiB live, 32.7MiB allocated; 3ms collecting garbage

Accuracy

Total -33.7b remaining (-114.2%)

Threshold costs -33.7b (-114.2%)

Counts

13 → 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 #s(approx (+ ( (* -1/18 x) x) 2/3) (.f64 #s(literal -1/18 binary64) (.f64 x x))) 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))
#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 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)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/18 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) #s(approx (sin (* 1/2 x)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
(.f64 #s(approx (/ (pow (sin ( 1/2 x)) 2) (sin x)) (.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)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 #s(approx (+ ( (* -1/18 x) x) 2/3) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (.f64 x x))) x))
(.f64 #s(approx (/ (pow (sin ( 1/2 x)) 2) (sin x)) (.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)) #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:

6.0ms	x
4.0ms	(/.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
53.9%	1	`x`
53.9%	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)

bsearch6.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	3.4533053819095785e-13	2.0290038697011694e-9

Samples

3.0ms

32×

valid

Compiler

Compiled 109 to 89 computations (18.3% saved)

Precisions

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

ival-mult: 1.0ms (41.7% of total)

ival-sin: 1.0ms (41.7% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.3%)

Memory

13.9MiB live, 63.6MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.0393549473348163e-6	0.024021892212665007

Samples

10.0ms

128×

valid

Compiler

Compiled 371 to 303 computations (18.3% saved)

Precisions

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

ival-mult: 3.0ms (42.4% of total)

ival-div: 2.0ms (28.3% of total)

ival-sin: 2.0ms (28.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.029738513034620936	0.0

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.929032982232733e-7	0.016015364956454933

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch6.0ms (0.1%)

Memory

-42.5MiB live, 1.8MiB allocated; 9ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.029738513034620936	0.0

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify76.0ms (0.9%)

Memory

15.5MiB live, 101.4MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	313
1	109	301
2	145	301
3	257	301
4	567	301
5	1050	301
6	1594	301
7	2845	301
8	5438	301

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.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)))
(if (<=.f64 x #s(literal 7737125245533627/154742504910672534362390528 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 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)))
(if (<=.f64 x #s(literal 8264141345021879/73786976294838206464 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 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)))
(if (<=.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)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (pow.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))) (.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(if (<=.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)) #s(literal 4722366482869645/4722366482869645213696 binary64)) (.f64 #s(approx ( (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(approx (* (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))))
(if (<=.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)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx ( (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(approx (* (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(.f64 #s(approx ( (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.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))

Outputs
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 x #s(literal 7737125245533627/154742504910672534362390528 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 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)))
(if (<=.f64 x #s(literal 8264141345021879/73786976294838206464 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 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)))
(if (<=.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)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (pow.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))) (.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(if (<=.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)) #s(literal 4722366482869645/4722366482869645213696 binary64)) (.f64 #s(approx ( (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(approx (* (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))))
(if (<=.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)) #s(literal 4722366482869645/4722366482869645213696 binary64)) (.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(approx (* (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))))
(if (<=.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)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx ( (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(approx (* (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(if (<=.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)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(approx (* (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(.f64 #s(approx ( (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(approx ( (pow (sqrt (sin (* x 1/2))) 2) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.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))

derivations1.1s (12.9%)

Memory

-1.9MiB live, 918.8MiB allocated; 149ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	202	573
1	682	554
2	2222	545
3	5965	540
0	8174	492
0	90	225
1	292	225
2	833	219
3	3515	219
0	8076	201
0	220	773
1	735	773
2	2174	765
3	6023	765
0	8121	716
0	44	248
0	71	245
1	206	239
2	1051	239
0	8841	239
0	11	34
0	19	34
1	29	28
2	81	28
0	360	28
0	44	208
0	65	193
1	172	189
2	699	189
3	5336	189
0	8158	183
0	40	202
0	65	158
1	140	155
2	462	155
3	3069	91
0	8820	91

Stop Event

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

Compiler

Compiled 328 to 85 computations (74.1% saved)

preprocess236.0ms (2.9%)

Memory: 33.1MiB live, 323.6MiB allocated; 32ms collecting garbage
Compiler: Compiled 916 to 362 computations (60.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze415.0ms (5.1%)

sample1.8s (21.9%)

explain156.0ms (1.9%)

preprocess125.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify119.0ms (1.5%)

localize56.0ms (0.7%)

series13.0ms (0.2%)

simplify181.0ms (2.2%)

rewrite48.0ms (0.6%)

eval7.0ms (0.1%)

prune44.0ms (0.5%)

simplify294.0ms (3.6%)

localize205.0ms (2.5%)

series20.0ms (0.2%)

simplify180.0ms (2.2%)

rewrite316.0ms (3.9%)

eval136.0ms (1.7%)

prune73.0ms (0.9%)

simplify136.0ms (1.7%)

localize198.0ms (2.4%)

series40.0ms (0.5%)

simplify270.0ms (3.3%)

rewrite138.0ms (1.7%)

eval146.0ms (1.8%)

prune45.0ms (0.6%)

simplify140.0ms (1.7%)

localize377.0ms (4.6%)

series31.0ms (0.4%)

simplify222.0ms (2.7%)

rewrite304.0ms (3.7%)

eval143.0ms (1.8%)

prune94.0ms (1.2%)

regimes100.0ms (1.2%)

regimes34.0ms (0.4%)

regimes35.0ms (0.4%)

regimes20.0ms (0.3%)

regimes61.0ms (0.7%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch6.0ms (0.1%)

bsearch24.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch6.0ms (0.1%)

simplify76.0ms (0.9%)

derivations1.1s (12.9%)

preprocess236.0ms (2.9%)

end0.0ms (0%)

Profiling