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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze206.0ms (2.6%)

Memory

7.0MiB live, 286.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample1.7s (20.7%)

Memory

-126.1MiB live, 1 511.2MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 748.0ms

ival-sin: 407.0ms (54.4% of total)

ival-mult: 162.0ms (21.7% of total)

ival-div: 157.0ms (21% of total)

exact: 12.0ms (1.6% of total)

ival-true: 7.0ms (0.9% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain210.0ms (2.6%)

Memory

-1.9MiB live, 157.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
70	0	-	1	(-3.6183703926100505e-162)	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
0	0	-	0	-	`(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`
0	115	(7.56809301057991e+75)	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	115	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	69	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	69

Confusion

	Predicted +	Predicted -
+	69	1
-	115	71

Precision

0.375

Recall

0.9857142857142858

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	69	0	1
-	115	0	71

Precision?

0.375

Recall?

0.9857142857142858

Freqs

test

number	freq
0	72
1	184

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

88.0ms

512×

valid

Compiler

Compiled 179 to 48 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-sin: 56.0ms (77.2% of total)

ival-mult: 9.0ms (12.4% of total)

ival-div: 7.0ms (9.6% of total)

exact: 1.0ms (1.4% of total)

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

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

preprocess52.0ms (0.6%)

Memory

37.2MiB live, 37.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	35	29
2	95	28
3	296	28
4	902	28
5	1780	28
6	1881	28
7	1911	28
8	1941	28
9	1953	28
10	2025	28
11	2453	28
0	11	14
0	19	14
1	26	14
2	36	14
3	45	14
4	48	14
0	48	14

Stop Event

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

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
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.9%	(/.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)

simplify31.0ms (0.4%)

Memory

-34.0MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
cost-diff	0	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
cost-diff	704	(/.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	36	45
3	45	45
4	48	45
0	48	45

Stop Event

1×	iter limit
1×	saturated
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 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (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 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(/.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)

localize59.0ms (0.7%)

Memory

-2.1MiB live, 36.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 x)
accuracy	0.2109375	(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
accuracy	0.36328125	(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
accuracy	16.488383889047036	(/.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

26.0ms

256×

valid

Compiler

Compiled 108 to 24 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 10.0ms (54.8% of total)

ival-mult: 4.0ms (21.9% of total)

ival-div: 3.0ms (16.4% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

5 → 20

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
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))

simplify243.0ms (3%)

Memory

6.5MiB live, 101.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	225
1	252	225
2	600	219
3	1793	219
4	3346	219
5	4709	219
6	5022	219
7	5317	219
8	5939	219
9	7811	219
0	8078	195

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

rewrite204.0ms (2.5%)

Memory

-12.6MiB live, 98.3MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	34
0	19	34
1	34	28
2	118	28
3	651	24
4	5470	21
0	8098	21

Stop Event

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

Counts

5 → 340

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

eval109.0ms (1.4%)

Memory: 13.4MiB live, 64.2MiB allocated
Compiler: Compiled 6 057 to 898 computations (85.2% saved)

prune70.0ms (0.9%)

Memory

-9.0MiB live, 30.3MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	342	17	359
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	343	17	360

Accuracy

100.0%

Counts

360 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.5%	(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	48.7%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
	48.3%	(/.f64 (+.f64 #s(literal 8/3 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 8/3 binary64))) (sin.f64 x))
	48.7%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
	73.9%	(/.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)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))))
▶	99.7%	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
	48.7%	(*.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)))
	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 #s(literal -1/2 binary64) x))))
	48.7%	(.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
▶	48.7%	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (sin.f64 x))))
	48.7%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)))
	99.2%	(.f64 (.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal -1/2 binary64) x)))
▶	99.4%	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
	55.3%	#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))
	55.2%	#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))
	55.2%	#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))
▶	55.1%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 528 to 402 computations (23.9% saved)

simplify213.0ms (2.7%)

Memory

-7.4MiB live, 31.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
cost-diff	5824	(pow.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) #s(literal 1/2 binary64))
cost-diff	7104	(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff	320	(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
cost-diff	6976	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (sin.f64 x))))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
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 x #s(literal 1/2 binary64))
cost-diff	0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
cost-diff	704	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	131
0	46	120
1	68	120
2	108	117
3	183	117
4	324	117
5	644	117
6	1183	117
7	1943	117
8	2832	117
9	3302	117
10	3803	117
11	4174	117
12	4405	117
13	4416	117
14	4575	117
15	4658	117
16	4667	117
17	4670	117
18	4670	117
19	4670	117
20	4670	117
21	4672	117
22	4673	117
0	4673	117

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize359.0ms (4.5%)

Memory

3.7MiB live, 121.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.11328125	(pow.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) #s(literal 1/2 binary64))
accuracy	0.2890625	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
accuracy	0.44140625	(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
accuracy	0.1640625	(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
accuracy	0.1796875	(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
accuracy	16.145690930832192	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	16.447919617680306	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (sin.f64 x))))
accuracy	0.0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.2890625	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
accuracy	0.25	(*.f64 #s(literal 2/3 binary64) x)
accuracy	14.232083625888958	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
accuracy	0.0	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.08984375	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))

Samples

206.0ms	45×	1	valid
58.0ms	69×	2	valid
19.0ms	62×	0	valid
19.0ms	22×	3	valid
19.0ms	58×	0	invalid

Compiler

Compiled 264 to 62 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 296.0ms

ival-mult: 199.0ms (67.3% of total)

ival-cos: 38.0ms (12.9% of total)

ival-sin: 14.0ms (4.7% of total)

ival-tan: 12.0ms (4.1% of total)

const: 8.0ms (2.7% of total)

ival-div: 7.0ms (2.4% of total)

adjust: 7.0ms (2.4% of total)

ival-pow2: 3.0ms (1% of total)

ival-sub: 2.0ms (0.7% of total)

ival-sqrt: 2.0ms (0.7% of total)

exact: 1.0ms (0.3% of total)

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

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

series13.0ms (0.2%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

14 → 47

Calls

Call 1

Inputs
(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(tan.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 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 3/8 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))))))))
(* 1/4 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))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ 4/3 x)
(/ (+ 4/3 (* 2/9 (pow x 2))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (* x (pow (sqrt 4/3) 2)))
(* x (+ (* 1/24 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/2 (pow (sqrt 4/3) 2))))
(* x (+ (* 1/2 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 1/240 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/24 (pow (sqrt 4/3) 2))))))
(* x (+ (* 1/2 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 1/24 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 17/40320 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/240 (pow (sqrt 4/3) 2))))))))
(* (sqrt x) (sqrt 2/3))
(+ (* 1/36 (* (sqrt (pow x 5)) (/ 1 (sqrt 2/3)))) (* (sqrt x) (sqrt 2/3)))
(+ (* (sqrt x) (sqrt 2/3)) (* (pow x 3) (+ (* 1/360 (* (sqrt (pow x 3)) (/ 1 (sqrt 2/3)))) (* 1/36 (* (sqrt (/ 1 x)) (/ 1 (sqrt 2/3)))))))
(+ (* (sqrt x) (sqrt 2/3)) (* (pow x 3) (+ (* 1/36 (* (sqrt (/ 1 x)) (/ 1 (sqrt 2/3)))) (* (pow x 2) (+ (* -1/2592 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 2/3) 3)))) (* 1/360 (* (sqrt (/ 1 x)) (/ 1 (sqrt 2/3)))))))))
(* 3/8 x)
(* x (+ 3/8 (* -1/16 (pow x 2))))
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(/ 4/3 (sin x))
(- 1 (cos x))
(cos x)
(/ (* (sin (* 1/2 x)) (pow (sqrt 4/3) 2)) (cos (* 1/2 x)))
(* (sqrt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (sqrt 4/3))
(* 3/8 (sin x))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (tan (* x 1/2)) (* x 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (* (tan (* x 1/2)) 4/3) (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (/ 1/2 (* 3/8 (sin x))) (- 1 (cos x)) (cos x) (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (pow (* (tan (* x 1/2)) 4/3) 1/2) (* 3/8 (sin x)))
4.0ms	x	@	-inf	((/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (tan (* x 1/2)) (* x 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (* (tan (* x 1/2)) 4/3) (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (/ 1/2 (* 3/8 (sin x))) (- 1 (cos x)) (cos x) (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (pow (* (tan (* x 1/2)) 4/3) 1/2) (* 3/8 (sin x)))
4.0ms	x	@	0	((/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (tan (* x 1/2)) (* x 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (* (tan (* x 1/2)) 4/3) (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (/ 1/2 (* 3/8 (sin x))) (- 1 (cos x)) (cos x) (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (pow (* (tan (* x 1/2)) 4/3) 1/2) (* 3/8 (sin x)))

Time

Variable

Point

Expression

4.0ms

inf

((/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (tan (* x 1/2)) (* x 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (* (tan (* x 1/2)) 4/3) (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (/ 1/2 (* 3/8 (sin x))) (- 1 (cos x)) (cos x) (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (pow (* (tan (* x 1/2)) 4/3) 1/2) (* 3/8 (sin x)))

4.0ms

-inf

((/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (tan (* x 1/2)) (* x 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (* (tan (* x 1/2)) 4/3) (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (/ 1/2 (* 3/8 (sin x))) (- 1 (cos x)) (cos x) (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (pow (* (tan (* x 1/2)) 4/3) 1/2) (* 3/8 (sin x)))

4.0ms

((/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (tan (* x 1/2)) (* x 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (* (tan (* x 1/2)) 4/3) (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (/ 1/2 (* 3/8 (sin x))) (- 1 (cos x)) (cos x) (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (pow (* (tan (* x 1/2)) 4/3) 1/2) (* 3/8 (sin x)))

simplify362.0ms (4.5%)

Memory

-17.2MiB live, 173.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	576
1	612	563
2	1779	556
3	4374	549
4	7321	549
0	8047	495

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

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))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ 4/3 x)
(/ (+ 4/3 (* 2/9 (pow x 2))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (* x (pow (sqrt 4/3) 2)))
(* x (+ (* 1/24 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/2 (pow (sqrt 4/3) 2))))
(* x (+ (* 1/2 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 1/240 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/24 (pow (sqrt 4/3) 2))))))
(* x (+ (* 1/2 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 1/24 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 17/40320 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/240 (pow (sqrt 4/3) 2))))))))
(* (sqrt x) (sqrt 2/3))
(+ (* 1/36 (* (sqrt (pow x 5)) (/ 1 (sqrt 2/3)))) (* (sqrt x) (sqrt 2/3)))
(+ (* (sqrt x) (sqrt 2/3)) (* (pow x 3) (+ (* 1/360 (* (sqrt (pow x 3)) (/ 1 (sqrt 2/3)))) (* 1/36 (* (sqrt (/ 1 x)) (/ 1 (sqrt 2/3)))))))
(+ (* (sqrt x) (sqrt 2/3)) (* (pow x 3) (+ (* 1/36 (* (sqrt (/ 1 x)) (/ 1 (sqrt 2/3)))) (* (pow x 2) (+ (* -1/2592 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 2/3) 3)))) (* 1/360 (* (sqrt (/ 1 x)) (/ 1 (sqrt 2/3)))))))))
(* 3/8 x)
(* x (+ 3/8 (* -1/16 (pow x 2))))
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(/ 4/3 (sin x))
(- 1 (cos x))
(cos x)
(/ (* (sin (* 1/2 x)) (pow (sqrt 4/3) 2)) (cos (* 1/2 x)))
(* (sqrt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (sqrt 4/3))
(* 3/8 (sin x))

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 (fma.f64 #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)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ 4/3 x)
(/.f64 #s(literal 4/3 binary64) x)
(/ (+ 4/3 (* 2/9 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 2/9 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/270 binary64) (.f64 x x) #s(literal 2/9 binary64)) (.f64 x x) #s(literal 4/3 binary64)) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/11340 binary64) (.f64 x x) #s(literal 7/270 binary64)) (.f64 x x) #s(literal 2/9 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* 1/2 (pow x 2))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #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 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (* x (pow (sqrt 4/3) 2)))
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ (* 1/24 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/2 (pow (sqrt 4/3) 2))))
(.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ (* 1/2 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 1/240 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/24 (pow (sqrt 4/3) 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x))
(* x (+ (* 1/2 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 1/24 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 17/40320 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/240 (pow (sqrt 4/3) 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (sqrt x) (sqrt 2/3))
(*.f64 (sqrt.f64 #s(literal 2/3 binary64)) (sqrt.f64 x))
(+ (* 1/36 (* (sqrt (pow x 5)) (/ 1 (sqrt 2/3)))) (* (sqrt x) (sqrt 2/3)))
(fma.f64 (/.f64 #s(literal 1/36 binary64) (sqrt.f64 #s(literal 2/3 binary64))) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal 2/3 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt 2/3)) (* (pow x 3) (+ (* 1/360 (* (sqrt (pow x 3)) (/ 1 (sqrt 2/3)))) (* 1/36 (* (sqrt (/ 1 x)) (/ 1 (sqrt 2/3)))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2/3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/36 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/360 binary64))) (.f64 (sqrt.f64 #s(literal 2/3 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt 2/3)) (* (pow x 3) (+ (* 1/36 (* (sqrt (/ 1 x)) (/ 1 (sqrt 2/3)))) (* (pow x 2) (+ (* -1/2592 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 2/3) 3)))) (* 1/360 (* (sqrt (/ 1 x)) (/ 1 (sqrt 2/3)))))))))
(fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2/3 binary64))) (fma.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2592 binary64) (.f64 x x)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 2/3 binary64)) (sqrt.f64 x)))
(* 3/8 x)
(*.f64 #s(literal 3/8 binary64) x)
(* x (+ 3/8 (* -1/16 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) x)
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/320 binary64) (.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 3/8 binary64)) x)
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/13440 binary64) (.f64 x x) #s(literal 1/320 binary64)) (.f64 x x) #s(literal -1/16 binary64)) (.f64 x x) #s(literal 3/8 binary64)) x)
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 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))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ (* (sin (* 1/2 x)) (pow (sqrt 4/3) 2)) (cos (* 1/2 x)))
(.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(* (sqrt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (sqrt 4/3))
(.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 #s(literal 4/3 binary64)))
(* 3/8 (sin x))
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))

rewrite396.0ms (4.9%)

Memory

-7.4MiB live, 318.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	93
0	46	82
1	123	79
2	621	76
3	5637	76
0	8630	76

Stop Event

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

Counts

14 → 901

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 8/3 binary64)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 #s(literal 4/3 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 #s(literal 4/3 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 #s(literal 8/3 binary64)))))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -3/4 binary64)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1/8 binary64))) (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/8 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -3/4 binary64)) (pow.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 #s(literal 64/9 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -3/4 binary64)) (pow.f64 #s(literal 16/9 binary64) #s(literal 1/8 binary64))) (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -3/4 binary64)) (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/4 binary64))) (pow.f64 #s(literal 16/9 binary64) #s(literal 1/8 binary64)))
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(.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1/8 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))))
(.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1/8 binary64)) (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (sqrt.f64 #s(literal -3/8 binary64)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 #s(literal -8/3 binary64)))
(.f64 (sqrt.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal 3/8 binary64)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 8/3 binary64)))
(.f64 (sqrt.f64 #s(literal 8/3 binary64)) (sqrt.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 8/3 binary64) (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 16/9 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 16/9 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (pow.f64 #s(literal 16/9 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 4/3 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 16/9 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 #s(literal 4/3 binary64) (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))))
(.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/4 binary64)))
(.f64 (sqrt.f64 #s(literal 4/3 binary64)) (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 #s(literal 4/3 binary64)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (.f64 #s(literal 16/9 binary64) (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal -1/2 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal -3/8 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 3/8 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (sqrt.f64 #s(literal -3/8 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 3/8 binary64))))
(/.f64 (sqrt.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 #s(literal -3/8 binary64)))
(/.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 3/8 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(fabs.f64 (sqrt.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))))
(exp.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(*.f64 #s(literal -3/8 binary64) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) #s(literal -3/8 binary64))
(.f64 (.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
(pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -8/3 binary64))
(/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(/.f64 (sin.f64 x) #s(literal 8/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(neg.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))

eval136.0ms (1.7%)

Memory: 24.1MiB live, 212.3MiB allocated
Compiler: Compiled 12 714 to 2 026 computations (84.1% saved)

prune27.0ms (0.3%)

Memory

-6.3MiB live, 83.1MiB allocated

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	772	12	784
Fresh	9	3	12
Picked	1	4	5
Done	0	0	0
Total	782	19	801

Accuracy

100.0%

Counts

801 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.5%	(pow.f64 (sqrt.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
▶	48.7%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓	99.7%	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
▶	99.7%	(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(literal 3/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
	99.4%	(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
	55.4%	(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
▶	99.4%	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
	99.4%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
	48.7%	(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	48.7%	(.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
✓	48.7%	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (sin.f64 x))))
	98.9%	(.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64))) (sqrt.f64 #s(literal 4/3 binary64)))
✓	99.4%	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
	55.2%	(.f64 #s(approx (tan ( x 1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
▶	55.2%	#s(approx (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x))
	55.3%	#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))
▶	55.2%	#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))
✓	55.1%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 465 to 359 computations (22.8% saved)

simplify214.0ms (2.7%)

Memory

-2.6MiB live, 74.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff	128	(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
cost-diff	6848	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
cost-diff	1088	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
cost-diff	0	(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
cost-diff	0	(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))
cost-diff	0	(.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)
cost-diff	0	#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))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
cost-diff	0	#s(approx (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #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)) #s(literal 1/2 binary64))
cost-diff	320	(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(literal 3/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	194
0	68	191
1	115	186
2	188	183
3	294	183
4	425	183
5	522	183
6	670	183
7	883	183
8	1197	183
9	1361	183
10	1621	183
11	1795	183
12	2134	183
13	2404	183
14	2665	183
15	3108	183
16	3884	183
17	4262	183
18	4303	183
19	4331	183
20	4407	183
21	4500	183
22	4508	183
23	4508	183
24	4564	183
25	4740	183
26	5324	183
27	5324	183
28	5324	183
0	5324	182

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(literal 3/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(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 3/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
#s(literal 3/8 binary64)
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(approx (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #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 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal 1/18 binary64)
(*.f64 x x)
x
#s(literal 2/3 binary64)
#s(approx (/ (* (* (/ 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))
(.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)
(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))
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
#s(literal 1/180 binary64)
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(literal 8/3 binary64)
(/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 2 binary64)
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
#s(literal 4/3 binary64)
(sin.f64 x)

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

localize267.0ms (3.3%)

Memory

16.6MiB live, 414.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 x)
accuracy	0.22265625	(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
accuracy	16.145690930832192	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	16.425883889047036	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.08203125	(/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
accuracy	0.27734375	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
accuracy	0.015625	(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))
accuracy	0.20703125	(.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)
accuracy	0.2503561028520959	(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
accuracy	14.059197942305799	#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))
accuracy	0.0	(*.f64 x x)
accuracy	0.2109375	(.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
accuracy	0.2416749905822117	(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
accuracy	14.109287788036358	#s(approx (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x))
accuracy	0.0	(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.06640625	(.f64 #s(literal 3/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
accuracy	0.078125	(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(literal 3/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))

Samples

68.0ms	74×	2	valid
58.0ms	62×	0	valid
46.0ms	58×	0	invalid
34.0ms	48×	1	valid
13.0ms	14×	3	valid

Compiler

Compiled 378 to 95 computations (74.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-cos: 40.0ms (24.1% of total)

ival-mult: 35.0ms (21.1% of total)

const: 22.0ms (13.3% of total)

ival-sin: 15.0ms (9% of total)

adjust: 14.0ms (8.4% of total)

ival-div: 10.0ms (6% of total)

ival-tan: 10.0ms (6% of total)

ival-add: 10.0ms (6% of total)

ival-sub: 3.0ms (1.8% of total)

ival-sqrt: 3.0ms (1.8% of total)

ival-pow2: 3.0ms (1.8% of total)

exact: 1.0ms (0.6% of total)

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

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

series18.0ms (0.2%)

Memory

0.8MiB live, 38.6MiB allocated

Counts

21 → 74

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(literal 3/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #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 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x 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))
(.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)
(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))
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(.f64 #s(literal 3/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(cos.f64 (*.f64 #s(literal 1/2 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 (* -1/96 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (- (* 1/7680 (pow x 2)) 1/96))))
(* x (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/7680 (* -1/1290240 (pow x 2)))) 1/96))))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(* 1/2 (* x (pow (sqrt 4/3) 2)))
(* x (+ (* 1/24 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/2 (pow (sqrt 4/3) 2))))
(* x (+ (* 1/2 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 1/240 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/24 (pow (sqrt 4/3) 2))))))
(* x (+ (* 1/2 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 1/24 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 17/40320 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/240 (pow (sqrt 4/3) 2))))))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(pow x 2)
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
1/18
(+ 1/18 (* 1/180 (pow x 2)))
(/ 4 x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
3/8
(+ 3/8 (* -3/64 (pow x 2)))
(+ 3/8 (* (pow x 2) (- (* 1/1024 (pow x 2)) 3/64)))
(+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/1024 (* -1/122880 (pow x 2)))) 3/64)))
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 (sin (* 1/2 x)))
(sin (* 1/2 x))
(/ (* (sin (* 1/2 x)) (pow (sqrt 4/3) 2)) (cos (* 1/2 x)))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 1/180 (pow x 5))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* 1/180 (pow x 4))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* 1/180 (pow x 2))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (- 1 (cos x)))
(- 1 (cos x))
(cos x)
(* 3/8 (cos (* 1/2 x)))
(cos (* 1/2 x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

((/ (* (sin (* 1/2 x)) 1/2) (* 3/8 (cos (* 1/2 x)))) (* (sin (* 1/2 x)) 1/2) (sin (* 1/2 x)) (* 1/2 x) (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (* (+ (* 1/18 (* x x)) 2/3) x) (+ (* 1/18 (* x x)) 2/3) (* x x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) (+ (* 1/180 (* x x)) 1/18) (/ 8/3 (/ 2 (tan (* 1/2 x)))) (/ 2 (tan (* 1/2 x))) (tan (* 1/2 x)) (/ (* (- 1 (cos x)) 4/3) (sin x)) (* (- 1 (cos x)) 4/3) (- 1 (cos x)) (cos x) (* 3/8 (cos (* 1/2 x))) (cos (* 1/2 x)))

5.0ms

inf

((/ (* (sin (* 1/2 x)) 1/2) (* 3/8 (cos (* 1/2 x)))) (* (sin (* 1/2 x)) 1/2) (sin (* 1/2 x)) (* 1/2 x) (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (* (+ (* 1/18 (* x x)) 2/3) x) (+ (* 1/18 (* x x)) 2/3) (* x x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) (+ (* 1/180 (* x x)) 1/18) (/ 8/3 (/ 2 (tan (* 1/2 x)))) (/ 2 (tan (* 1/2 x))) (tan (* 1/2 x)) (/ (* (- 1 (cos x)) 4/3) (sin x)) (* (- 1 (cos x)) 4/3) (- 1 (cos x)) (cos x) (* 3/8 (cos (* 1/2 x))) (cos (* 1/2 x)))

4.0ms

-inf

((/ (* (sin (* 1/2 x)) 1/2) (* 3/8 (cos (* 1/2 x)))) (* (sin (* 1/2 x)) 1/2) (sin (* 1/2 x)) (* 1/2 x) (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (* (+ (* 1/18 (* x x)) 2/3) x) (+ (* 1/18 (* x x)) 2/3) (* x x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) (+ (* 1/180 (* x x)) 1/18) (/ 8/3 (/ 2 (tan (* 1/2 x)))) (/ 2 (tan (* 1/2 x))) (tan (* 1/2 x)) (/ (* (- 1 (cos x)) 4/3) (sin x)) (* (- 1 (cos x)) 4/3) (- 1 (cos x)) (cos x) (* 3/8 (cos (* 1/2 x))) (cos (* 1/2 x)))

simplify189.0ms (2.4%)

Memory

2.6MiB live, 249.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	262	758
1	721	758
2	1906	757
3	4503	756
4	7652	756
0	8222	679

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 74

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 (* -1/96 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (- (* 1/7680 (pow x 2)) 1/96))))
(* x (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/7680 (* -1/1290240 (pow x 2)))) 1/96))))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(* 1/2 (* x (pow (sqrt 4/3) 2)))
(* x (+ (* 1/24 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/2 (pow (sqrt 4/3) 2))))
(* x (+ (* 1/2 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 1/240 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/24 (pow (sqrt 4/3) 2))))))
(* x (+ (* 1/2 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 1/24 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 17/40320 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/240 (pow (sqrt 4/3) 2))))))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(pow x 2)
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
1/18
(+ 1/18 (* 1/180 (pow x 2)))
(/ 4 x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
3/8
(+ 3/8 (* -3/64 (pow x 2)))
(+ 3/8 (* (pow x 2) (- (* 1/1024 (pow x 2)) 3/64)))
(+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/1024 (* -1/122880 (pow x 2)))) 3/64)))
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 (sin (* 1/2 x)))
(sin (* 1/2 x))
(/ (* (sin (* 1/2 x)) (pow (sqrt 4/3) 2)) (cos (* 1/2 x)))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 1/180 (pow x 5))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* 1/180 (pow x 4))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* 1/180 (pow x 2))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (- 1 (cos x)))
(- 1 (cos x))
(cos x)
(* 3/8 (cos (* 1/2 x)))
(cos (* 1/2 x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))

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 (* -1/96 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (- (* 1/7680 (pow x 2)) 1/96))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/7680 binary64) (.f64 x x) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/7680 (* -1/1290240 (pow x 2)))) 1/96))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1290240 binary64) (.f64 x x) #s(literal 1/7680 binary64)) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal 1/4 binary64)) 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 (fma.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))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 x x) #s(literal 1/3840 binary64)) (.f64 x x) #s(literal -1/48 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/2 (* x (pow (sqrt 4/3) 2)))
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ (* 1/24 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/2 (pow (sqrt 4/3) 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ (* 1/2 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 1/240 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/24 (pow (sqrt 4/3) 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 (+ (* 1/2 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 1/24 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 17/40320 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/240 (pow (sqrt 4/3) 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
#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) (+ 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))
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))
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 4 binary64)) x)
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(* 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 (fma.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 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (.f64 x x) #s(literal 1/540 binary64)) (.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* 1/2 (pow x 2))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #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 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
3/8
#s(literal 3/8 binary64)
(+ 3/8 (* -3/64 (pow x 2)))
(fma.f64 #s(literal -3/64 binary64) (*.f64 x x) #s(literal 3/8 binary64))
(+ 3/8 (* (pow x 2) (- (* 1/1024 (pow x 2)) 3/64)))
(fma.f64 (fma.f64 #s(literal 1/1024 binary64) (.f64 x x) #s(literal -3/64 binary64)) (.f64 x x) #s(literal 3/8 binary64))
(+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/1024 (* -1/122880 (pow x 2)))) 3/64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/122880 binary64) (.f64 x x) #s(literal 1/1024 binary64)) (.f64 x x) #s(literal -3/64 binary64)) (*.f64 x x) #s(literal 3/8 binary64))
(+ 1 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 x x) #s(literal 1/384 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (sin (* 1/2 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(/ (* (sin (* 1/2 x)) (pow (sqrt 4/3) 2)) (cos (* 1/2 x)))
(.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) 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) (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))
(* 1/180 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 1/180 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* 1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/180 binary64))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x)
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (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))
(* 1/180 (pow x 2))
(.f64 #s(literal 1/180 binary64) (.f64 x x))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
(* 2 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (- 1 (cos x)))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(* 3/8 (cos (* 1/2 x)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
(cos (* 1/2 x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 1/18 binary64)) x) x) #s(literal -1/180 binary64)) (pow.f64 x #s(literal 5 binary64)))

rewrite154.0ms (1.9%)

Memory

7.0MiB live, 277.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	169
0	68	172
1	224	153
2	1213	150
0	8303	150

Stop Event

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

Counts

21 → 729

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(literal 3/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #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 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x 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))
(.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)
(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))
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(.f64 #s(literal 3/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))

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

eval104.0ms (1.3%)

Memory: 6.4MiB live, 207.1MiB allocated
Compiler: Compiled 16 974 to 2 344 computations (86.2% saved)

prune29.0ms (0.4%)

Memory

-18.9MiB live, 55.8MiB allocated

Pruning

22 alts after pruning (13 fresh and 9 done)

	Pruned	Kept	Total
New	680	6	686
Fresh	3	7	10
Picked	0	5	5
Done	0	4	4
Total	683	22	705

Accuracy

100.0%

Counts

705 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.7%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓	99.7%	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
	99.4%	(/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
✓	99.7%	(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(literal 3/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
	48.8%	(/.f64 #s(approx (* (- 1 (cos x)) 4/3) (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))) (sin.f64 x))
▶	55.4%	(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
✓	99.4%	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
	56.0%	(/.f64 #s(literal 8/3 binary64) #s(approx (/ 2 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
	55.1%	(/.f64 #s(literal 8/3 binary64) #s(approx (/ 2 (tan (* 1/2 x))) (/.f64 #s(literal 4 binary64) x)))
▶	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
	99.4%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
	48.7%	(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
▶	48.7%	(.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
✓	48.7%	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (sin.f64 x))))
▶	98.9%	(.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64))) (sqrt.f64 #s(literal 4/3 binary64)))
✓	99.4%	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
	55.2%	(.f64 #s(approx (tan ( x 1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
	55.3%	#s(approx (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 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))
✓	55.2%	#s(approx (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x))
▶	55.3%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x) x) x (.f64 #s(literal 2/3 binary64) x)))
✓	55.2%	#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))
✓	55.1%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 508 to 396 computations (22% saved)

simplify177.0ms (2.2%)

Memory

29.1MiB live, 64.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
cost-diff	128	(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64))
cost-diff	7168	(.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64)))
cost-diff	1600	(.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64))) (sqrt.f64 #s(literal 4/3 binary64)))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x)
cost-diff	0	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x) x) x (.f64 #s(literal 2/3 binary64) x)))
cost-diff	320	(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x) x) x (.f64 #s(literal 2/3 binary64) x))
cost-diff	0	(*.f64 #s(literal 1/4 binary64) x)
cost-diff	0	#s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x))
cost-diff	0	(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	194
0	68	186
1	108	184
2	171	184
3	334	181
4	669	181
5	1000	181
6	1460	181
7	2120	181
8	2808	181
9	3203	181
10	3697	181
11	4000	181
12	4317	181
13	4332	181
14	4515	181
15	4622	181
16	4706	181
17	4780	181
18	4780	181
19	4792	181
20	4792	181
0	4792	178

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(literal 1 binary64)
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 3/4 binary64)
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
#s(literal 3/8 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x) x) x (.f64 #s(literal 2/3 binary64) x)))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x) x) x (.f64 #s(literal 2/3 binary64) x))
(.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x)
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
#s(literal 1/180 binary64)
(*.f64 x x)
x
#s(literal 1/18 binary64)
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
(.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64))) (sqrt.f64 #s(literal 4/3 binary64)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sqrt.f64 #s(literal 4/3 binary64))
#s(literal 4/3 binary64)
(.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
#s(literal 1/2 binary64)
(sin.f64 x)
x
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
#s(literal 8/3 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(literal 3/4 binary64)
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(tan.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(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
#s(literal 3/8 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x) x) x (.f64 #s(literal 2/3 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x) x) x (.f64 #s(literal 2/3 binary64) x))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x)
(.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x)
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))
#s(literal 1/180 binary64)
(*.f64 x x)
x
#s(literal 1/18 binary64)
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
(.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64))) (sqrt.f64 #s(literal 4/3 binary64)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64)))
(.f64 (sqrt.f64 #s(literal 4/3 binary64)) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(tan.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
(sqrt.f64 #s(literal 4/3 binary64))
#s(literal 4/3 binary64)
(.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
(.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
#s(literal 1/2 binary64)
(sin.f64 x)
x
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64))
(fma.f64 #s(literal -8/3 binary64) (cos.f64 x) #s(literal 8/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
#s(literal 8/3 binary64)

localize336.0ms (4.2%)

Memory

-17.7MiB live, 355.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
accuracy	0.3046875	(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64))
accuracy	16.25232846215402	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	16.511821389047036	(.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
accuracy	0.0	(sqrt.f64 #s(literal 4/3 binary64))
accuracy	0.00390625	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.37337875976844204	(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64)))
accuracy	0.39453125	(.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64))) (sqrt.f64 #s(literal 4/3 binary64)))
accuracy	0.21484375	(.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x)
accuracy	0.3203125	(*.f64 #s(literal 2/3 binary64) x)
accuracy	0.5002620403519669	(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
accuracy	28.452821484306263	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x) x) x (.f64 #s(literal 2/3 binary64) x)))
accuracy	0.0	(*.f64 #s(literal 1/4 binary64) x)
accuracy	0.1640625	(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
accuracy	28.566489868443437	#s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.00390625	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.08984375	(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
accuracy	0.30078125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))

Samples

135.0ms	74×	2	valid
63.0ms	120×	0	valid
26.0ms	48×	1	valid
12.0ms	14×	3	valid

Compiler

Compiled 375 to 92 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-mult: 32.0ms (25.1% of total)

const: 23.0ms (18.1% of total)

ival-cos: 22.0ms (17.3% of total)

ival-sin: 12.0ms (9.4% of total)

adjust: 11.0ms (8.6% of total)

ival-tan: 10.0ms (7.8% of total)

ival-div: 9.0ms (7.1% of total)

ival-sub: 3.0ms (2.4% of total)

ival-add: 3.0ms (2.4% of total)

ival-sqrt: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series16.0ms (0.2%)

Memory

-1.2MiB live, 35.1MiB allocated

Counts

21 → 68

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x) x) x (.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x) x) x (.f64 #s(literal 2/3 binary64) x)))
(.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x)
(.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64))) (sqrt.f64 #s(literal 4/3 binary64)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
(sin.f64 x)
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
(*.f64 #s(literal 2/3 binary64) x)
(sqrt.f64 #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.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))))))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/4 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))))))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))
(* 1/18 x)
(* x (+ 1/18 (* 1/180 (pow x 2))))
(* 1/2 (* x (pow (sqrt 4/3) 2)))
(* x (+ (* 1/24 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/2 (pow (sqrt 4/3) 2))))
(* x (+ (* 1/2 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 1/240 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/24 (pow (sqrt 4/3) 2))))))
(* x (+ (* 1/2 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 1/24 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 17/40320 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/240 (pow (sqrt 4/3) 2))))))))
(* 1/2 (* x (sqrt 4/3)))
(* x (+ (* 1/24 (* (pow x 2) (sqrt 4/3))) (* 1/2 (sqrt 4/3))))
(* x (+ (* 1/2 (sqrt 4/3)) (* (pow x 2) (+ (* 1/240 (* (pow x 2) (sqrt 4/3))) (* 1/24 (sqrt 4/3))))))
(* x (+ (* 1/2 (sqrt 4/3)) (* (pow x 2) (+ (* 1/24 (sqrt 4/3)) (* (pow x 2) (+ (* 17/40320 (* (pow x 2) (sqrt 4/3))) (* 1/240 (sqrt 4/3))))))))
(* 4/3 (pow x 2))
(* (pow x 2) (+ 4/3 (* -1/9 (pow x 2))))
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* 1/270 (pow x 2)) 1/9))))
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/270 (* -1/15120 (pow x 2)))) 1/9))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/12 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* 7/720 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 7/720 (* 31/30240 (pow x 2))))))) x)
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))))
1/18
(+ 1/18 (* 1/180 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/180 (pow x 5))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 1/180 (pow x 4))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* 1/180 (pow x 3))
(* (pow x 3) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(/ (* (sin (* 1/2 x)) (pow (sqrt 4/3) 2)) (cos (* 1/2 x)))
(/ (* (sin (* 1/2 x)) (sqrt 4/3)) (cos (* 1/2 x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 8/3 (- 1 (cos x)))
(/ 1/2 (sin x))
(sin x)
(* 1/180 (pow x 2))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(- 1 (cos x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

((/ 1 (/ 3/4 (tan (* 1/2 x)))) (/ 3/4 (tan (* 1/2 x))) (tan (* 1/2 x)) (* 1/2 x) (/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (* 1/4 x) (+ (* (* (* (+ (* 1/180 (* x x)) 1/18) x) x) x) (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (+ (* 1/180 (* x x)) 1/18) x) x) (* (+ (* 1/180 (* x x)) 1/18) x) (* (* (tan (* 1/2 x)) (sqrt 4/3)) (sqrt 4/3)) (* (tan (* 1/2 x)) (sqrt 4/3)) (* (/ 1/2 (sin x)) (* (- 1 (cos x)) 8/3)) (* (- 1 (cos x)) 8/3) (/ 1/2 (sin x)) (sin x) (+ (* 1/180 (* x x)) 1/18) (* 2/3 x) (sqrt 4/3) (- 1 (cos x)))

5.0ms

inf

((/ 1 (/ 3/4 (tan (* 1/2 x)))) (/ 3/4 (tan (* 1/2 x))) (tan (* 1/2 x)) (* 1/2 x) (/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (* 1/4 x) (+ (* (* (* (+ (* 1/180 (* x x)) 1/18) x) x) x) (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (+ (* 1/180 (* x x)) 1/18) x) x) (* (+ (* 1/180 (* x x)) 1/18) x) (* (* (tan (* 1/2 x)) (sqrt 4/3)) (sqrt 4/3)) (* (tan (* 1/2 x)) (sqrt 4/3)) (* (/ 1/2 (sin x)) (* (- 1 (cos x)) 8/3)) (* (- 1 (cos x)) 8/3) (/ 1/2 (sin x)) (sin x) (+ (* 1/180 (* x x)) 1/18) (* 2/3 x) (sqrt 4/3) (- 1 (cos x)))

5.0ms

-inf

((/ 1 (/ 3/4 (tan (* 1/2 x)))) (/ 3/4 (tan (* 1/2 x))) (tan (* 1/2 x)) (* 1/2 x) (/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (* 1/4 x) (+ (* (* (* (+ (* 1/180 (* x x)) 1/18) x) x) x) (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (+ (* 1/180 (* x x)) 1/18) x) x) (* (+ (* 1/180 (* x x)) 1/18) x) (* (* (tan (* 1/2 x)) (sqrt 4/3)) (sqrt 4/3)) (* (tan (* 1/2 x)) (sqrt 4/3)) (* (/ 1/2 (sin x)) (* (- 1 (cos x)) 8/3)) (* (- 1 (cos x)) 8/3) (/ 1/2 (sin x)) (sin x) (+ (* 1/180 (* x x)) 1/18) (* 2/3 x) (sqrt 4/3) (- 1 (cos x)))

simplify154.0ms (1.9%)

Memory

-5.3MiB live, 186.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	260	750
1	758	735
2	2080	732
3	3695	729
4	6916	729
0	8051	662

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 67

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))))))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/4 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))))))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))
(* 1/18 x)
(* x (+ 1/18 (* 1/180 (pow x 2))))
(* 1/2 (* x (pow (sqrt 4/3) 2)))
(* x (+ (* 1/24 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/2 (pow (sqrt 4/3) 2))))
(* x (+ (* 1/2 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 1/240 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/24 (pow (sqrt 4/3) 2))))))
(* x (+ (* 1/2 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 1/24 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 17/40320 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/240 (pow (sqrt 4/3) 2))))))))
(* 1/2 (* x (sqrt 4/3)))
(* x (+ (* 1/24 (* (pow x 2) (sqrt 4/3))) (* 1/2 (sqrt 4/3))))
(* x (+ (* 1/2 (sqrt 4/3)) (* (pow x 2) (+ (* 1/240 (* (pow x 2) (sqrt 4/3))) (* 1/24 (sqrt 4/3))))))
(* x (+ (* 1/2 (sqrt 4/3)) (* (pow x 2) (+ (* 1/24 (sqrt 4/3)) (* (pow x 2) (+ (* 17/40320 (* (pow x 2) (sqrt 4/3))) (* 1/240 (sqrt 4/3))))))))
(* 4/3 (pow x 2))
(* (pow x 2) (+ 4/3 (* -1/9 (pow x 2))))
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* 1/270 (pow x 2)) 1/9))))
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/270 (* -1/15120 (pow x 2)))) 1/9))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/12 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* 7/720 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 7/720 (* 31/30240 (pow x 2))))))) x)
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))))
1/18
(+ 1/18 (* 1/180 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/180 (pow x 5))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 1/180 (pow x 4))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* 1/180 (pow x 3))
(* (pow x 3) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(/ (* (sin (* 1/2 x)) (pow (sqrt 4/3) 2)) (cos (* 1/2 x)))
(/ (* (sin (* 1/2 x)) (sqrt 4/3)) (cos (* 1/2 x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 8/3 (- 1 (cos x)))
(/ 1/2 (sin x))
(sin x)
(* 1/180 (pow x 2))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(- 1 (cos x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))

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)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/4 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)
(* 1/18 (pow x 2))
(.f64 (.f64 #s(literal 1/18 binary64) x) x)
(* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* x (+ 1/18 (* 1/180 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x)
(* 1/2 (* x (pow (sqrt 4/3) 2)))
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ (* 1/24 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/2 (pow (sqrt 4/3) 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ (* 1/2 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 1/240 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/24 (pow (sqrt 4/3) 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 (+ (* 1/2 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 1/24 (pow (sqrt 4/3) 2)) (* (pow x 2) (+ (* 17/40320 (* (pow x 2) (pow (sqrt 4/3) 2))) (* 1/240 (pow (sqrt 4/3) 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 (* x (sqrt 4/3)))
(.f64 (.f64 (sqrt.f64 #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) x)
(* x (+ (* 1/24 (* (pow x 2) (sqrt 4/3))) (* 1/2 (sqrt 4/3))))
(.f64 (.f64 (sqrt.f64 #s(literal 4/3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)
(* x (+ (* 1/2 (sqrt 4/3)) (* (pow x 2) (+ (* 1/240 (* (pow x 2) (sqrt 4/3))) (* 1/24 (sqrt 4/3))))))
(.f64 (.f64 (sqrt.f64 #s(literal 4/3 binary64)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) x)
(* x (+ (* 1/2 (sqrt 4/3)) (* (pow x 2) (+ (* 1/24 (sqrt 4/3)) (* (pow x 2) (+ (* 17/40320 (* (pow x 2) (sqrt 4/3))) (* 1/240 (sqrt 4/3))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal 4/3 binary64)) (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) x))
(* 4/3 (pow x 2))
(.f64 (.f64 #s(literal 4/3 binary64) x) x)
(* (pow x 2) (+ 4/3 (* -1/9 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) x)
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* 1/270 (pow x 2)) 1/9))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/270 binary64) (.f64 x x) #s(literal -1/9 binary64)) (.f64 x x) #s(literal 4/3 binary64)) x) x)
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/270 (* -1/15120 (pow x 2)))) 1/9))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/15120 binary64) (.f64 x x) #s(literal 1/270 binary64)) (.f64 x x) #s(literal -1/9 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/12 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* 7/720 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 7/720 (* 31/30240 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
1/18
#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))
(* 1/2 (pow x 2))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))
(* 1/180 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 1/180 binary64))) (pow.f64 x #s(literal 5 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))
(* 1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/180 binary64))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x)
(* 1/180 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/180 binary64))
(* (pow x 3) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x)
(/ (* (sin (* 1/2 x)) (pow (sqrt 4/3) 2)) (cos (* 1/2 x)))
(.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (sin (* 1/2 x)) (sqrt 4/3)) (cos (* 1/2 x)))
(.f64 (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(* 8/3 (- 1 (cos x)))
(fma.f64 #s(literal -8/3 binary64) (cos.f64 x) #s(literal 8/3 binary64))
(/ 1/2 (sin x))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
(sin x)
(sin.f64 x)
(* 1/180 (pow x 2))
(.f64 #s(literal 1/180 binary64) (.f64 x x))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))
(.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 1/180 binary64))) (pow.f64 x #s(literal 5 binary64)))

rewrite196.0ms (2.4%)

Memory

-20.6MiB live, 269.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	164
0	68	156
1	191	151
2	951	151
0	8361	148

Stop Event

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

Counts

21 → 806

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x) x) x (.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x) x) x (.f64 #s(literal 2/3 binary64) x)))
(.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x)
(.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64))) (sqrt.f64 #s(literal 4/3 binary64)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
(sin.f64 x)
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
(*.f64 #s(literal 2/3 binary64) x)
(sqrt.f64 #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))

Outputs
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 4/3 binary64)) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (pow.f64 #s(literal 4/3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 4/3 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 4/3 binary64)) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 4/3 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 4/3 binary64))) (.f64 (sqrt.f64 #s(literal 4/3 binary64)) (tan.f64 (.f64 x #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal -4/3 binary64) (/.f64 (neg.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal -4/3 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal -4/3 binary64) (neg.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 4/3 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 4/3 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 4/3 binary64)) (tan.f64 (.f64 x #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 (neg.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 4/3 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 4/3 binary64)) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal 4/3 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 4/3 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 4/3 binary64)))
(.f64 (sqrt.f64 #s(literal 4/3 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 4/3 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 4/3 binary64)) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 (sqrt.f64 #s(literal 4/3 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 3/4 binary64)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (pow.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 4/3 binary64)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 4/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 4/3 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 4/3 binary64)) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal -4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 (sqrt.f64 #s(literal 4/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)))
(/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)))
(/.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 #s(literal -3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 #s(literal 3/4 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))))
(/.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -3/4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal -3/4 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 3/4 binary64) (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal -3/4 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 4/3 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 4/3 binary64)) #s(literal -1 binary64)))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))

eval103.0ms (1.3%)

Memory: 41.1MiB live, 192.7MiB allocated
Compiler: Compiled 23 130 to 2 811 computations (87.8% saved)

prune89.0ms (1.1%)

Memory

-0.8MiB live, 74.5MiB allocated

Pruning

26 alts after pruning (15 fresh and 11 done)

	Pruned	Kept	Total
New	835	8	843
Fresh	1	7	8
Picked	1	4	5
Done	2	7	9
Total	839	26	865

Accuracy

100.0%

Counts

865 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.7%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
	99.7%	(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
	99.7%	(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)))
	48.8%	(/.f64 #s(approx (* (- 1 (cos x)) 4/3) (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))) (sin.f64 x))
✓	55.4%	(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
✓	99.4%	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
	56.0%	(/.f64 #s(literal 8/3 binary64) #s(approx (/ 2 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
	55.1%	(/.f64 #s(literal 8/3 binary64) #s(approx (/ 2 (tan (* 1/2 x))) (/.f64 #s(literal 4 binary64) x)))
✓	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
	99.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal -3/4 binary64)))
	55.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
	56.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
	55.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(literal 3/2 binary64) x)))
	48.7%	(*.f64 (fma.f64 #s(literal -8/3 binary64) (cos.f64 x) #s(literal 8/3 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))
	99.4%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
	48.7%	(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	48.7%	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (sin.f64 x))))
✓	98.9%	(.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64))) (sqrt.f64 #s(literal 4/3 binary64)))
	54.8%	(.f64 (.f64 #s(approx (tan (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64))) (sqrt.f64 #s(literal 4/3 binary64)))
✓	99.4%	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
	55.2%	(.f64 #s(approx (tan ( x 1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
	55.3%	#s(approx (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 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))
✓	55.2%	#s(approx (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x))
✓	55.3%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x) x) x (.f64 #s(literal 2/3 binary64) x)))
✓	55.2%	#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))
✓	55.1%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 1 019 to 492 computations (51.7% saved)

regimes34.0ms (0.4%)

Memory

-29.0MiB live, 49.9MiB allocated

Counts

44 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(.f64 #s(approx (tan ( x 1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ 2 (tan (* 1/2 x))) (/.f64 #s(literal 4 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)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x) x) x (.f64 #s(literal 2/3 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ 2 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
(.f64 (.f64 #s(approx (tan (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64))) (sqrt.f64 #s(literal 4/3 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 (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 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))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal -3/4 binary64)))
(.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64))) (sqrt.f64 #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (- 1 (cos x)) 4/3) (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))) (sin.f64 x))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(pow.f64 (sqrt.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal -8/3 binary64) (cos.f64 x) #s(literal 8/3 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 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 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 8/3 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 8/3 binary64))) (sin.f64 x))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(literal 3/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) #s(literal 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 #s(literal -1/2 binary64) x)))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (.f64 #s(literal -8/3 binary64) (sin.f64 (.f64 #s(literal -1/2 binary64) 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))
(/.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)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes11.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

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 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(.f64 #s(approx (tan ( x 1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ 2 (tan (* 1/2 x))) (/.f64 #s(literal 4 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)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x) x) x (.f64 #s(literal 2/3 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ 2 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
(.f64 (.f64 #s(approx (tan (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64))) (sqrt.f64 #s(literal 4/3 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 (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 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))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))

Outputs
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))

Calls

2 calls:

5.0ms	x
5.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Results

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes14.0ms (0.2%)

Memory

-13.6MiB live, 21.6MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(.f64 #s(approx (tan ( x 1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ 2 (tan (* 1/2 x))) (/.f64 #s(literal 4 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)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x) x) x (.f64 #s(literal 2/3 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ 2 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
(.f64 (.f64 #s(approx (tan (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 4/3 binary64))) (sqrt.f64 #s(literal 4/3 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 (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 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))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))

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

Calls

2 calls:

9.0ms	x
5.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Results

Accuracy	Segments	Branch
56.0%	1	`x`
56.0%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(.f64 #s(approx (tan ( x 1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ 2 (tan (* 1/2 x))) (/.f64 #s(literal 4 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)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) x) x) x (.f64 #s(literal 2/3 binary64) x)))

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

Calls

2 calls:

3.0ms	x
3.0ms	(/.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
55.4%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
55.4%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes4.0ms (0%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

#s(approx (pow (pow (* (tan (* x 1/2)) 4/3) 1/2) 2) (*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))

Outputs
#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))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
55.2%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
55.2%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes5.0ms (0.1%)

Memory

-32.0MiB live, 7.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 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))

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:

3.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
1.0ms	x

Results

Accuracy	Segments	Branch
55.1%	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))`
55.1%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify10.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	82
1	55	82
2	65	82
3	74	82
4	77	82

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 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 #s(literal 2/3 binary64) x))

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

soundness1.4s (18%)

Memory

-14.4MiB live, 752.5MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	90	225
1	252	225
2	600	219
3	1793	219
4	3346	219
5	4709	219
6	5022	219
7	5317	219
8	5939	219
9	7811	219
0	8078	195
0	260	750
1	758	735
2	2080	732
3	3695	729
4	6916	729
0	8051	662
0	45	164
0	68	156
1	191	151
2	951	151
0	8361	148
0	11	34
0	19	34
1	34	28
2	118	28
3	651	24
4	5470	21
0	8098	21
0	215	576
1	612	563
2	1779	556
3	4374	549
4	7321	549
0	8047	495
0	32	93
0	46	82
1	123	79
2	621	76
3	5637	76
0	8630	76

Stop Event

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

Compiler

Compiled 180 to 108 computations (40% saved)

preprocess80.0ms (1%)

Memory: 11.8MiB live, 97.9MiB allocated
Remove: (negabs x)
Compiler: Compiled 260 to 156 computations (40% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze206.0ms (2.6%)

sample1.7s (20.7%)

explain210.0ms (2.6%)

preprocess52.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.4%)

localize59.0ms (0.7%)

series5.0ms (0.1%)

simplify243.0ms (3%)

rewrite204.0ms (2.5%)

eval109.0ms (1.4%)

prune70.0ms (0.9%)

simplify213.0ms (2.7%)

localize359.0ms (4.5%)

series13.0ms (0.2%)

simplify362.0ms (4.5%)

rewrite396.0ms (4.9%)

eval136.0ms (1.7%)

prune27.0ms (0.3%)

simplify214.0ms (2.7%)

localize267.0ms (3.3%)

series18.0ms (0.2%)

simplify189.0ms (2.4%)

rewrite154.0ms (1.9%)

eval104.0ms (1.3%)

prune29.0ms (0.4%)

simplify177.0ms (2.2%)

localize336.0ms (4.2%)

series16.0ms (0.2%)

simplify154.0ms (1.9%)

rewrite196.0ms (2.4%)

eval103.0ms (1.3%)

prune89.0ms (1.1%)

regimes34.0ms (0.4%)

regimes11.0ms (0.1%)

regimes14.0ms (0.2%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0.1%)

simplify10.0ms (0.1%)

soundness1.4s (18%)

preprocess80.0ms (1%)

end0.0ms (0%)

Profiling