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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze246.0ms (3.1%)

Memory

17.6MiB live, 246.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample1.8s (23.1%)

Memory

1.0MiB live, 1 219.8MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-sin: 596.0ms (51.9% of total)

ival-mult: 300.0ms (26.1% of total)

ival-div: 231.0ms (20.1% of total)

exact: 12.0ms (1% of total)

ival-true: 7.0ms (0.6% of total)

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

Bogosity

explain130.0ms (1.6%)

Memory

14.7MiB live, 262.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
65	0	-	5	(1.5548133363856468e-158)	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
0	0	-	0	-	`(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`
0	118	(1.703654628364161e+262)	0	-	`(sin.f64 (*.f64 x #s(literal 1/2 binary64)))`
0	0	-	0	-	`#s(literal 8 binary64)`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`(*.f64 x #s(literal 1/2 binary64))`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`
0	0	-	0	-	`(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`#s(literal 1/2 binary64)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (*.f64 x #s(literal 1/2 binary64)))`	sensitivity	118	1
`/.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	60	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	60

Confusion

	Predicted +	Predicted -
+	60	5
-	118	73

Precision

0.33707865168539325

Recall

0.9230769230769231

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	60	0	5
-	118	1	72

Precision?

0.33519553072625696

Recall?

0.9230769230769231

Freqs

test

number	freq
0	78
1	178

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

61.0ms

512×

valid

Compiler

Compiled 126 to 37 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sin: 27.0ms (60.5% of total)

ival-mult: 9.0ms (20.2% of total)

ival-div: 7.0ms (15.7% of total)

exact: 1.0ms (2.2% of total)

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

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

preprocess53.0ms (0.7%)

Memory

-11.4MiB live, 64.9MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.7%	(/.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)

simplify3.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	19	45
1	26	45
2	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)

localize47.0ms (0.6%)

Memory

-10.9MiB live, 68.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 x)
accuracy	0.234375	(.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	0.33203125	(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
accuracy	14.706011819571573	(/.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

34.0ms

256×

valid

Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 11.0ms (41.1% of total)

ival-sin: 11.0ms (41.1% of total)

ival-div: 4.0ms (14.9% 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

8.8MiB live, 8.8MiB 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))

simplify209.0ms (2.6%)

Memory

10.0MiB live, 201.7MiB 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)

rewrite405.0ms (5.1%)

Memory

14.7MiB live, 210.1MiB 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))

eval98.0ms (1.2%)

Memory: -34.1MiB live, 160.8MiB allocated
Compiler: Compiled 6 057 to 898 computations (85.2% saved)

prune31.0ms (0.4%)

Memory

-4.5MiB live, 33.5MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	344	15	359
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	345	15	360

Accuracy

100.0%

Counts

360 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.2%	(/.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)))
	50.0%	(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
	50.1%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
	76.7%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
▶	99.8%	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
	31.8%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
▶	99.3%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))))
	50.2%	(*.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))) (.f64 #s(literal 3/8 binary64) (sin.f64 x))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
	99.5%	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
▶	53.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
	53.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
	53.8%	#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))
	76.6%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (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))))
▶	53.8%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 504 to 366 computations (27.4% saved)

simplify39.0ms (0.5%)

Memory

-15.5MiB live, 31.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
cost-diff	0	(cos.f64 x)
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
cost-diff	0	(/.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)))
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	2	(/.f64 #s(literal -1 binary64) (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))
cost-diff	2	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
cost-diff	0	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
cost-diff	0	(*.f64 #s(literal 2/3 binary64) x)
cost-diff	0	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
cost-diff	0	(*.f64 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	2	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	201
0	62	195
1	96	193
2	156	193
3	330	193
4	776	193
5	1331	193
6	1383	193
7	1391	193
0	1391	193

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

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

localize213.0ms (2.7%)

Memory

-8.5MiB live, 301.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 x)
accuracy	0.19140625	(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
accuracy	14.824685722969303	(/.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)))
accuracy	16.70698543224227	(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
accuracy	0.0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.23828125	(/.f64 #s(literal -1 binary64) (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))
accuracy	0.2734375	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))))
accuracy	0.34375	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
accuracy	0.06640625	(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))
accuracy	0.09765625	(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
accuracy	0.1875	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
accuracy	29.347539223022622	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
accuracy	0.30078125	(*.f64 #s(literal 2/3 binary64) x)
accuracy	29.3865438338337	#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	0.12890625	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))

Samples

70.0ms	123×	0	valid
51.0ms	64×	2	valid
37.0ms	30×	3	valid
23.0ms	39×	1	valid

Compiler

Compiled 195 to 41 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-mult: 46.0ms (31% of total)

ival-cos: 21.0ms (14.2% of total)

ival-sin: 20.0ms (13.5% of total)

const: 19.0ms (12.8% of total)

ival-div: 13.0ms (8.8% of total)

adjust: 12.0ms (8.1% of total)

ival-add: 10.0ms (6.7% of total)

ival-tan: 6.0ms (4% of total)

exact: 1.0ms (0.7% of total)

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

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

series16.0ms (0.2%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

18 → 61

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

Outputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 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))))))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
1/18
(+ 1/18 (* 1/180 (pow x 2)))
(+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))
(/ -3/2 x)
(/ (- (* 1/8 (pow x 2)) 3/2) x)
(/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x)
(/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) x)
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
1
(+ 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 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))))
1/180
(+ 1/180 (* 17/30240 (pow x 2)))
(* 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)))
(* 17/30240 (pow x 7))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 6))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 4))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* -3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(+ 1/2 (* -1/2 (cos x)))
(cos x)
(* 3/8 (sin x))
(* 17/30240 (pow x 2))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	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) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (/ -1 (/ -1 (* (tan (* x 1/2)) 4/3))) (/ -1 (* (tan (* x 1/2)) 4/3)) (* (tan (* x 1/2)) 4/3) (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (+ (* -1/2 (cos x)) 1/2) (cos x) (* 3/8 (sin x)) (+ (* 17/30240 (* x x)) 1/180))
5.0ms	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) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (/ -1 (/ -1 (* (tan (* x 1/2)) 4/3))) (/ -1 (* (tan (* x 1/2)) 4/3)) (* (tan (* x 1/2)) 4/3) (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (+ (* -1/2 (cos x)) 1/2) (cos x) (* 3/8 (sin x)) (+ (* 17/30240 (* x x)) 1/180))
3.0ms	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) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (/ -1 (/ -1 (* (tan (* x 1/2)) 4/3))) (/ -1 (* (tan (* x 1/2)) 4/3)) (* (tan (* x 1/2)) 4/3) (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (+ (* -1/2 (cos x)) 1/2) (cos x) (* 3/8 (sin x)) (+ (* 17/30240 (* x x)) 1/180))

Time

Variable

Point

Expression

7.0ms

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

5.0ms

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

3.0ms

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

simplify165.0ms (2.1%)

Memory

-3.5MiB live, 154.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	676
1	587	676
2	1501	672
3	3726	666
4	6445	662
0	8198	603

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 61

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))))))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
1/18
(+ 1/18 (* 1/180 (pow x 2)))
(+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))
(/ -3/2 x)
(/ (- (* 1/8 (pow x 2)) 3/2) x)
(/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x)
(/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) x)
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
1
(+ 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 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))))
1/180
(+ 1/180 (* 17/30240 (pow x 2)))
(* 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)))
(* 17/30240 (pow x 7))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 6))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 4))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* -3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(+ 1/2 (* -1/2 (cos x)))
(cos x)
(* 3/8 (sin x))
(* 17/30240 (pow x 2))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
(* 1/2 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)
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* 1/18 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
1/18
#s(literal 1/18 binary64)
(+ 1/18 (* 1/180 (pow x 2)))
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
(+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64))
(/ -3/2 x)
(/.f64 #s(literal -3/2 binary64) x)
(/ (- (* 1/8 (pow x 2)) 3/2) x)
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))
(/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x)
(fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))
(/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) x)
(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)) x (/.f64 #s(literal -3/2 binary64) x))
(* 1/4 (pow x 2))
(.f64 (.f64 #s(literal 1/4 binary64) x) x)
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (.f64 x x) #s(literal -1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/80640 binary64) (.f64 x x) #s(literal 1/1440 binary64)) (.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 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 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)
1/180
#s(literal 1/180 binary64)
(+ 1/180 (* 17/30240 (pow x 2)))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
(* 4/3 (/ (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 4/3 binary64))
(* 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))
(* 17/30240 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/30240 binary64))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1/180 binary64) (.f64 x x)) #s(literal -17/30240 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 1/180 binary64)) x) x) #s(literal -17/30240 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/30240 binary64)) (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* 17/30240 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/30240 binary64))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/180 binary64) (.f64 x x)) #s(literal -17/30240 binary64)))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 1/180 binary64)) x) x) #s(literal -17/30240 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(fma.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) #s(literal -17/30240 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 2/3 binary64))
(* 17/30240 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/30240 binary64))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) x) x)
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64))
(* -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))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos x)
(cos.f64 x)
(* 3/8 (sin x))
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
(* 17/30240 (pow x 2))
(.f64 #s(literal 17/30240 binary64) (.f64 x x))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (.f64 x x)) #s(literal 1/180 binary64)) x) x) #s(literal -17/30240 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/30240 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))

rewrite216.0ms (2.7%)

Memory

22.6MiB live, 250.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	171
0	62	165
1	191	157
2	1069	157
0	8384	157

Stop Event

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

Counts

18 → 651

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

Outputs
(.f64 (.f64 #s(literal 8/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -8/3 binary64))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -4/3 binary64))
(.f64 #s(literal -4/3 binary64) (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1/2 binary64) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(.f64 #s(literal 4/3 binary64) (.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(.f64 #s(literal 4/3 binary64) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 4/3 binary64)))
(.f64 #s(literal 8/3 binary64) (.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 8/3 binary64) (pow.f64 (pow.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 8/3 binary64) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))
(.f64 (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 8/3 binary64))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(pow.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 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.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 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal -1/2 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 4/3 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
(neg.f64 (.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(neg.f64 (.f64 #s(literal -1/2 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (neg.f64 (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 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 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 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/9 binary64)) x) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal -2/3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 2/3 binary64)) x)) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/9 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal -2/3 binary64)) #s(literal -1 binary64)))
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(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/27653197824000 binary64) #s(literal 1/5832000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))))))
(.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/27653197824000 binary64) #s(literal 1/5832000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/32400 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 x x) #s(literal -17/5443200 binary64))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/27653197824000 binary64) #s(literal 1/5832000 binary64)) (pow.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64))) (/.f64 (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64)))) (.f64 (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64))) (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64))) (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64))) (/.f64 (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64))) (fma.f64 (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64))) (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64))) (.f64 (/.f64 (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64))) (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/180 binary64) (.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64)))) (neg.f64 (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/27653197824000 binary64) #s(literal 1/5832000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 17/5443200 binary64) (.f64 x x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 17/30240 binary64)) #s(literal 4 binary64)) #s(literal 1/1049760000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 24137569/764699349893278334976000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/34012224000000 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 17/30240 binary64)) #s(literal 4 binary64)) #s(literal 1/1049760000 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/29628426240000 binary64))) (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 24137569/764699349893278334976000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/34012224000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/27653197824000 binary64) #s(literal -1/5832000 binary64)) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 17/5443200 binary64) (.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 118587876497/21146382398483019084984666292224000000000 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/198359290368000000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 24137569/764699349893278334976000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/34012224000000 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/161273449709568000000 binary64)))) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 17/5443200 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64)) #s(literal 1/32400 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64))))
(/.f64 (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/180 binary64) (.f64 (*.f64 x x) #s(literal 17/30240 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64))) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/27653197824000 binary64) #s(literal 1/5832000 binary64))) (neg.f64 (+.f64 #s(literal 1/32400 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -17/5443200 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/27653197824000 binary64) #s(literal 1/5832000 binary64))) (neg.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 17/5443200 binary64) (.f64 x x))))))
(/.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64)) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/27653197824000 binary64) #s(literal 1/5832000 binary64)) (+.f64 #s(literal 1/32400 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -17/5443200 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/27653197824000 binary64) #s(literal 1/5832000 binary64)) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 17/5443200 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/180 binary64) (.f64 (.f64 x x) #s(literal 17/30240 binary64))) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/32400 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -17/5443200 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/27653197824000 binary64) #s(literal 1/5832000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64))) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/27653197824000 binary64) #s(literal 1/5832000 binary64))) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 17/5443200 binary64) (.f64 x x))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64)) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/27653197824000 binary64) #s(literal 1/5832000 binary64)) (neg.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal 17/5443200 binary64) (.f64 x x)))))))
(fma.f64 (*.f64 #s(literal 17/30240 binary64) x) x #s(literal 1/180 binary64))
(fma.f64 (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
(fma.f64 x (*.f64 #s(literal 17/30240 binary64) x) #s(literal 1/180 binary64))
(-.f64 (/.f64 #s(literal 1/32400 binary64) (-.f64 #s(literal 1/180 binary64) (.f64 (.f64 x x) #s(literal 17/30240 binary64)))) (/.f64 (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/180 binary64) (.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64))) (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal -1/180 binary64))) (neg.f64 (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 17/30240 binary64)) #s(literal 1/180 binary64))
(+.f64 #s(literal 1/180 binary64) (.f64 (.f64 x x) #s(literal 17/30240 binary64)))

eval110.0ms (1.4%)

Memory: -16.9MiB live, 137.5MiB allocated
Compiler: Compiled 20 208 to 2 350 computations (88.4% saved)

prune25.0ms (0.3%)

Memory

25.8MiB live, 62.9MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	629	14	643
Fresh	8	2	10
Picked	1	4	5
Done	0	0	0
Total	638	20	658

Accuracy

100.0%

Counts

658 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.2%	(/.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)))
✓	99.8%	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
	99.3%	(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
▶	54.0%	(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
	54.1%	(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
▶	99.5%	(/.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 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
	53.7%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 #s(approx (tan ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))))
	99.4%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)))
	99.3%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))))
▶	54.5%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (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)) x (/.f64 #s(literal -3/2 binary64) x))))
	54.6%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
	54.6%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))))
	53.9%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (/.f64 #s(literal -3/2 binary64) x)))
	99.5%	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
▶	50.2%	#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)))
✓	53.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
	53.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
▶	53.8%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓	53.8%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 605 to 473 computations (21.8% saved)

simplify22.0ms (0.3%)

Memory

-32.5MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 x)
cost-diff	0	(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
cost-diff	0	#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)))
cost-diff	0	(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))
cost-diff	0	(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)) x (/.f64 #s(literal -3/2 binary64) x))
cost-diff	0	#s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (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)) x (/.f64 #s(literal -3/2 binary64) x)))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (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)) x (/.f64 #s(literal -3/2 binary64) x))))
cost-diff	0	(fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
cost-diff	0	#s(approx (* (tan (* x 1/2)) 1/2) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x))
cost-diff	0	(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
cost-diff	0	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
cost-diff	0	(*.f64 #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	2	(/.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	59	258
0	85	256
1	129	252
2	190	252
3	305	252
4	474	252
5	522	252
6	530	252
7	534	252
8	540	252
9	549	252
10	557	252
11	559	252
0	559	251

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
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x))
(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))
#s(literal 1/48 binary64)
(*.f64 x x)
x
#s(literal 1/4 binary64)
#s(literal 3/8 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (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)) x (/.f64 #s(literal -3/2 binary64) x))))
#s(literal -1 binary64)
#s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (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)) x (/.f64 #s(literal -3/2 binary64) x)))
(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)) x (/.f64 #s(literal -3/2 binary64) x))
(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))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
x
#s(literal 1/480 binary64)
#s(literal 1/8 binary64)
(/.f64 #s(literal -3/2 binary64) x)
#s(literal -3/2 binary64)
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
#s(literal -4/3 binary64)
(cos.f64 x)
x
#s(literal 4/3 binary64)
(sin.f64 x)

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
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x))
(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))
#s(literal 1/48 binary64)
(*.f64 x x)
x
#s(literal 1/4 binary64)
#s(literal 3/8 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (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)) x (/.f64 #s(literal -3/2 binary64) x))))
#s(literal -1 binary64)
#s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (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)) x (/.f64 #s(literal -3/2 binary64) x)))
(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)) x (/.f64 #s(literal -3/2 binary64) x))
(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))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
x
#s(literal 1/480 binary64)
#s(literal 1/8 binary64)
(/.f64 #s(literal -3/2 binary64) x)
#s(literal -3/2 binary64)
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
#s(literal -4/3 binary64)
(cos.f64 x)
x
#s(literal 4/3 binary64)
(sin.f64 x)

localize486.0ms (6.1%)

Memory

31.8MiB live, 505.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 x)
accuracy	0.0	#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)))
accuracy	14.706011819571573	(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
accuracy	16.759388674590618	(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
accuracy	0.05859375	(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))
accuracy	0.06640625	(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))
accuracy	0.2734375	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (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)) x (/.f64 #s(literal -3/2 binary64) x))))
accuracy	29.27794148588828	#s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (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)) x (/.f64 #s(literal -3/2 binary64) x)))
accuracy	0.05078125	(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
accuracy	0.08203125	(fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))
accuracy	0.12890625	(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
accuracy	29.411615468839766	#s(approx (* (tan (* x 1/2)) 1/2) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.109375	(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
accuracy	0.2265625	(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
accuracy	29.408585676932113	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.1640625	(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))

Samples

114.0ms	123×	0	valid
85.0ms	74×	2	valid
30.0ms	20×	3	valid
28.0ms	39×	1	valid

Compiler

Compiled 204 to 60 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-mult: 40.0ms (20.9% of total)

const: 35.0ms (18.3% of total)

ival-div: 26.0ms (13.6% of total)

ival-cos: 21.0ms (11% of total)

ival-tan: 21.0ms (11% of total)

adjust: 20.0ms (10.5% of total)

ival-sin: 14.0ms (7.3% of total)

ival-add: 13.0ms (6.8% of total)

exact: 1.0ms (0.5% of total)

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

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

series167.0ms (2.1%)

Memory

-16.4MiB live, 21.5MiB allocated

Counts

21 → 67

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)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x))
(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (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)) x (/.f64 #s(literal -3/2 binary64) x))))
#s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (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)) x (/.f64 #s(literal -3/2 binary64) x)))
(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)) x (/.f64 #s(literal -3/2 binary64) x))
(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))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(cos.f64 x)
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))

Outputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(/ 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))))))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(pow x 2)
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
1/4
(+ 1/4 (* 1/48 (pow x 2)))
(/ -3/2 x)
(/ (- (* 1/8 (pow x 2)) 3/2) x)
(/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x)
(/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) x)
1/8
(+ 1/8 (* 1/480 (pow x 2)))
(+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (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
(+ 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)))
1/480
(+ 1/480 (* 1/20160 (pow x 2)))
(* 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)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin 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)))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/48 (pow x 3))
(* (pow x 3) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* 1/48 (pow x 2))
(* (pow x 2) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* -3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 5) (- (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))) (* 3/2 (/ 1 (pow x 6)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(+ 4/3 (* -4/3 (cos x)))
(cos x)
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 5) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))))

Calls

3 calls:

Time

Variable

Point

Expression

159.0ms

inf

((/ 1 (/ 3/4 (tan (* 1/2 x)))) (/ 3/4 (tan (* 1/2 x))) (tan (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (* (+ (* 1/48 (* x x)) 1/4) x) (+ (* 1/48 (* x x)) 1/4) (/ -1 (/ -1 (* (tan (* x 1/2)) 4/3))) (/ -1 (* (tan (* x 1/2)) 4/3)) (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) x) (/ -3/2 x)) (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (/ (+ (* -4/3 (cos x)) 4/3) (sin x)) (+ (* -4/3 (cos x)) 4/3) (cos x) (+ (* 1/20160 (* x x)) 1/480))

5.0ms

-inf

((/ 1 (/ 3/4 (tan (* 1/2 x)))) (/ 3/4 (tan (* 1/2 x))) (tan (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (* (+ (* 1/48 (* x x)) 1/4) x) (+ (* 1/48 (* x x)) 1/4) (/ -1 (/ -1 (* (tan (* x 1/2)) 4/3))) (/ -1 (* (tan (* x 1/2)) 4/3)) (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) x) (/ -3/2 x)) (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (/ (+ (* -4/3 (cos x)) 4/3) (sin x)) (+ (* -4/3 (cos x)) 4/3) (cos x) (+ (* 1/20160 (* x x)) 1/480))

2.0ms

((/ 1 (/ 3/4 (tan (* 1/2 x)))) (/ 3/4 (tan (* 1/2 x))) (tan (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (* (+ (* 1/48 (* x x)) 1/4) x) (+ (* 1/48 (* x x)) 1/4) (/ -1 (/ -1 (* (tan (* x 1/2)) 4/3))) (/ -1 (* (tan (* x 1/2)) 4/3)) (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) x) (/ -3/2 x)) (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (/ (+ (* -4/3 (cos x)) 4/3) (sin x)) (+ (* -4/3 (cos x)) 4/3) (cos x) (+ (* 1/20160 (* x x)) 1/480))

simplify244.0ms (3.1%)

Memory

-7.0MiB live, 148.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	667
1	577	667
2	1499	663
3	3696	657
4	6810	657
0	8190	598

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 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))))))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(pow x 2)
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
1/4
(+ 1/4 (* 1/48 (pow x 2)))
(/ -3/2 x)
(/ (- (* 1/8 (pow x 2)) 3/2) x)
(/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x)
(/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) x)
1/8
(+ 1/8 (* 1/480 (pow x 2)))
(+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (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
(+ 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)))
1/480
(+ 1/480 (* 1/20160 (pow x 2)))
(* 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)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin 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)))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/48 (pow x 3))
(* (pow x 3) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* 1/48 (pow x 2))
(* (pow x 2) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* -3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 5) (- (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))) (* 3/2 (/ 1 (pow x 6)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(+ 4/3 (* -4/3 (cos x)))
(cos x)
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 5) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))))

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(/ 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)
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)
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 1/48 (pow x 2)))
(fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(/ -3/2 x)
(/.f64 #s(literal -3/2 binary64) x)
(/ (- (* 1/8 (pow x 2)) 3/2) x)
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))
(/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x)
(fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))
(/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) x)
(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)) x (/.f64 #s(literal -3/2 binary64) x))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* 1/480 (pow x 2)))
(fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))
(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))
(* 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
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #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))
1/480
#s(literal 1/480 binary64)
(+ 1/480 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))
(* 4/3 (/ (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 4/3 binary64))
(* 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)))
(* 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))
(* 1/18 (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))
(* 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))
(* 1/48 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64))
(* (pow x 3) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(* 1/48 (pow x 2))
(.f64 #s(literal 1/48 binary64) (.f64 x x))
(* (pow x 2) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(* -3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(.f64 #s(literal -3/4 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(* 1/20160 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/20160 binary64))
(* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1/480 binary64) (.f64 x x)) #s(literal -1/20160 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/480 binary64) (.f64 x x)) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))) (* 3/2 (/ 1 (pow x 6)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/480 binary64) (.f64 x x)) #s(literal 1/20160 binary64))) (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* 1/20160 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64)) x) x)
(* (pow x 4) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(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))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(+ 4/3 (* -4/3 (cos x)))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(cos x)
(cos.f64 x)
(* 1/20160 (pow x 2))
(.f64 #s(literal 1/20160 binary64) (.f64 x x))
(* (pow x 2) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/480 binary64) (.f64 x x)) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/480 binary64) (.f64 x x)) #s(literal 1/20160 binary64))) (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))

rewrite371.0ms (4.7%)

Memory

-123.7MiB live, 182.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	227
0	85	225
1	295	218
2	1704	218
0	8225	217

Stop Event

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

Counts

21 → 514

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)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x))
(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (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)) x (/.f64 #s(literal -3/2 binary64) x))))
#s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (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)) x (/.f64 #s(literal -3/2 binary64) x)))
(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)) x (/.f64 #s(literal -3/2 binary64) x))
(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))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(cos.f64 x)
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))

Outputs
(.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)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))))
(fma.f64 (*.f64 #s(literal 1/20160 binary64) x) x #s(literal 1/480 binary64))
(fma.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/230400 binary64) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/480 binary64))
(fma.f64 x (*.f64 #s(literal 1/20160 binary64) x) #s(literal 1/480 binary64))
(-.f64 (/.f64 #s(literal 1/230400 binary64) (-.f64 #s(literal 1/480 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/480 binary64) (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64))) (/.f64 #s(literal 1/230400 binary64) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/480 binary64))) (neg.f64 (/.f64 #s(literal 1/230400 binary64) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64)))))
(+.f64 (.f64 #s(literal 1/20160 binary64) (.f64 x x)) #s(literal 1/480 binary64))
(+.f64 #s(literal 1/480 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))

eval112.0ms (1.4%)

Memory: -7.2MiB live, 140.7MiB allocated
Compiler: Compiled 19 748 to 2 488 computations (87.4% saved)

prune27.0ms (0.3%)

Memory

14.0MiB live, 88.6MiB allocated

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	587	13	600
Fresh	8	3	11
Picked	1	4	5
Done	1	3	4
Total	597	23	620

Accuracy

100.0%

Counts

620 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.2%	(/.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)))
	99.3%	(/.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))))
▶	99.8%	(/.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 #s(literal 3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
▶	54.1%	(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
▶	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64)))
✓	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
	99.4%	(/.f64 #s(literal 1 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))))
	54.6%	(/.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)))
▶	54.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
	54.6%	(/.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)))
	53.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(literal 3/2 binary64) x)))
	53.7%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 #s(approx (tan ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))))
✓	54.5%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (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)) x (/.f64 #s(literal -3/2 binary64) x))))
	54.6%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 (fma.f64 #s(approx (+ (* 1/20160 (* x x)) 1/480) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
▶	54.6%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
	99.5%	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
✓	50.2%	#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)))
	53.8%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)))
✓	53.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
	53.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
✓	53.8%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓	53.8%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 729 to 558 computations (23.5% saved)

simplify18.0ms (0.2%)

Memory

-16.3MiB live, 34.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff	2	(/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64)))
cost-diff	0	(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))
cost-diff	0	(/.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)
cost-diff	0	#s(approx (/ 3/4 (tan (* 1/2 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))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
cost-diff	0	#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))
cost-diff	0	#s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x)))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
cost-diff	0	#s(approx (+ (* 1/48 (* x x)) 1/4) #s(literal 1/4 binary64))
cost-diff	0	(.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)
cost-diff	0	#s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))
cost-diff	0	(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
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 3/4 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	295
0	74	295
1	107	287
2	150	285
3	246	285
4	316	285
5	337	285
6	346	285
7	353	285
8	363	285
9	382	285
10	392	285
11	398	285
0	398	273

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 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 3/4 binary64)
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))
(.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)
#s(approx (+ (* 1/48 (* x x)) 1/4) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
x
#s(literal 3/8 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
#s(literal -1 binary64)
#s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x)))
(fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
x
(/.f64 #s(literal -3/2 binary64) x)
#s(literal -3/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
#s(literal 1 binary64)
#s(approx (/ 3/4 (tan (* 1/2 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))
(/.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)
(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))
(fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal -1/8 binary64))
#s(literal -1/480 binary64)
(*.f64 x x)
x
#s(literal -1/8 binary64)
#s(literal 3/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64)))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64))
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(literal -1 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)

Outputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 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 3/4 binary64)
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))
(.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)
#s(approx (+ (* 1/48 (* x x)) 1/4) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
x
#s(literal 3/8 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
#s(literal -1 binary64)
#s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x)))
(fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
x
(/.f64 #s(literal -3/2 binary64) x)
#s(literal -3/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
#s(literal 1 binary64)
#s(approx (/ 3/4 (tan (* 1/2 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))
(/.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)
(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))
(fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal -1/8 binary64))
#s(literal -1/480 binary64)
(*.f64 x x)
x
#s(literal -1/8 binary64)
#s(literal 3/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (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)))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal -1 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 -4/3 binary64)

localize420.0ms (5.3%)

Memory

20.6MiB live, 252.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.140625	(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64)))
accuracy	0.3984375	(/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64))
accuracy	0.07157003162065376	(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))
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
accuracy	3.2339423026144787	(/.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)
accuracy	29.217496454436095	#s(approx (/ 3/4 (tan (* 1/2 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))
accuracy	0.05859375	(fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))
accuracy	0.2734375	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
accuracy	29.195052084751012	#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64))
accuracy	29.27794148588828	#s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x)))
accuracy	0.05078125	(.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)
accuracy	0.12890625	(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
accuracy	29.034808911943827	#s(approx (+ (* 1/48 (* x x)) 1/4) #s(literal 1/4 binary64))
accuracy	29.411615468839766	#s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))
accuracy	0.0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.12890625	(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))

Samples

191.0ms

256×

valid

Compiler

Compiled 201 to 50 computations (75.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-tan: 50.0ms (43.5% of total)

ival-div: 20.0ms (17.4% of total)

const: 19.0ms (16.5% of total)

ival-mult: 18.0ms (15.7% of total)

ival-add: 7.0ms (6.1% of total)

exact: 1.0ms (0.9% of total)

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

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

series9.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

18 → 58

Calls

Call 1

Inputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))
(.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)
#s(approx (+ (* 1/48 (* x x)) 1/4) #s(literal 1/4 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
#s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x)))
(fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
#s(approx (/ 3/4 (tan (* 1/2 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))
(/.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)
(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))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64))
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))

Outputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 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))))))))
1/4
(+ 1/4 (* 1/48 (pow x 2)))
(/ -3/2 x)
(/ (- (* 1/8 (pow x 2)) 3/2) x)
(/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x)
(/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) x)
1/8
(+ 1/8 (* 1/480 (pow x 2)))
(+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (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)
3/2
(+ 3/2 (* -1/8 (pow x 2)))
(+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8)))
(/ -2 x)
(/ (- (* 1/6 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (+ 1/6 (* 1/360 (pow x 2)))) 2) x)
(/ (- (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/360 (* 1/15120 (pow x 2)))))) 2) x)
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/48 (pow x 3))
(* (pow x 3) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* 1/48 (pow x 2))
(* (pow x 2) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* -3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 5) (- (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))) (* 3/2 (/ 1 (pow x 6)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* -1/480 (pow x 3))
(* -1 (* (pow x 3) (+ 1/480 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 3) (- (/ 3/2 (pow x 4)) (+ 1/480 (* 1/8 (/ 1 (pow x 2))))))
(* -1/480 (pow x 4))
(* -1 (* (pow x 4) (+ 1/480 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 3/2 (pow x 4)) (+ 1/480 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 5) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))))
(* -1 (* (pow x 3) (- (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (/ 3/2 (pow x 4)))))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((/ (tan (* x 1/2)) 3/4) (tan (* x 1/2)) (* x 1/2) (/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (* (+ (* 1/48 (* x x)) 1/4) x) (+ (* 1/48 (* x x)) 1/4) (/ -1 (/ -1 (* (tan (* x 1/2)) 4/3))) (/ -1 (* (tan (* x 1/2)) 4/3)) (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) x) (/ -3/2 x)) (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) (/ 1 (/ 3/4 (tan (* 1/2 x)))) (/ 3/4 (tan (* 1/2 x))) (/ (+ (* (+ (* -1/480 (* x x)) -1/8) (* x x)) 3/2) x) (+ (* (+ (* -1/480 (* x x)) -1/8) (* x x)) 3/2) (/ 1 (/ (/ -1 (tan (* x 1/2))) -4/3)) (/ (/ -1 (tan (* x 1/2))) -4/3) (/ -1 (tan (* x 1/2))))

3.0ms

-inf

((/ (tan (* x 1/2)) 3/4) (tan (* x 1/2)) (* x 1/2) (/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (* (+ (* 1/48 (* x x)) 1/4) x) (+ (* 1/48 (* x x)) 1/4) (/ -1 (/ -1 (* (tan (* x 1/2)) 4/3))) (/ -1 (* (tan (* x 1/2)) 4/3)) (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) x) (/ -3/2 x)) (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) (/ 1 (/ 3/4 (tan (* 1/2 x)))) (/ 3/4 (tan (* 1/2 x))) (/ (+ (* (+ (* -1/480 (* x x)) -1/8) (* x x)) 3/2) x) (+ (* (+ (* -1/480 (* x x)) -1/8) (* x x)) 3/2) (/ 1 (/ (/ -1 (tan (* x 1/2))) -4/3)) (/ (/ -1 (tan (* x 1/2))) -4/3) (/ -1 (tan (* x 1/2))))

2.0ms

((/ (tan (* x 1/2)) 3/4) (tan (* x 1/2)) (* x 1/2) (/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (* (+ (* 1/48 (* x x)) 1/4) x) (+ (* 1/48 (* x x)) 1/4) (/ -1 (/ -1 (* (tan (* x 1/2)) 4/3))) (/ -1 (* (tan (* x 1/2)) 4/3)) (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) x) (/ -3/2 x)) (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) (/ 1 (/ 3/4 (tan (* 1/2 x)))) (/ 3/4 (tan (* 1/2 x))) (/ (+ (* (+ (* -1/480 (* x x)) -1/8) (* x x)) 3/2) x) (+ (* (+ (* -1/480 (* x x)) -1/8) (* x x)) 3/2) (/ 1 (/ (/ -1 (tan (* x 1/2))) -4/3)) (/ (/ -1 (tan (* x 1/2))) -4/3) (/ -1 (tan (* x 1/2))))

simplify203.0ms (2.6%)

Memory

-27.4MiB live, 135.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	639
1	548	639
2	1566	630
3	4237	617
0	8559	564

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 58

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 1/2 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))))))))
1/4
(+ 1/4 (* 1/48 (pow x 2)))
(/ -3/2 x)
(/ (- (* 1/8 (pow x 2)) 3/2) x)
(/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x)
(/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) x)
1/8
(+ 1/8 (* 1/480 (pow x 2)))
(+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (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)
3/2
(+ 3/2 (* -1/8 (pow x 2)))
(+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8)))
(/ -2 x)
(/ (- (* 1/6 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (+ 1/6 (* 1/360 (pow x 2)))) 2) x)
(/ (- (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/360 (* 1/15120 (pow x 2)))))) 2) x)
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/48 (pow x 3))
(* (pow x 3) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* 1/48 (pow x 2))
(* (pow x 2) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(* -3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 5) (- (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))) (* 3/2 (/ 1 (pow x 6)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* -1/480 (pow x 3))
(* -1 (* (pow x 3) (+ 1/480 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 3) (- (/ 3/2 (pow x 4)) (+ 1/480 (* 1/8 (/ 1 (pow x 2))))))
(* -1/480 (pow x 4))
(* -1 (* (pow x 4) (+ 1/480 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 3/2 (pow x 4)) (+ 1/480 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 5) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))))
(* -1 (* (pow x 3) (- (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (/ 3/2 (pow x 4)))))

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x)
(* 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 (.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/480 binary64) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (.f64 x x) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 1/48 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))
(/ -3/2 x)
(/.f64 #s(literal -3/2 binary64) x)
(/ (- (* 1/8 (pow x 2)) 3/2) x)
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))
(/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))
(/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) x)
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* 1/480 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/8 binary64))
(+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(/ 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 (.f64 #s(literal -1/480 binary64) 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)
3/2
#s(literal 3/2 binary64)
(+ 3/2 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
(+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/480 binary64) x) x #s(literal -1/8 binary64)) (.f64 x x) #s(literal 3/2 binary64))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* 1/6 (pow x 2)) 2) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (+ 1/6 (* 1/360 (pow x 2)))) 2) x)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/360 (* 1/15120 (pow x 2)))))) 2) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(* 4/3 (/ (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 4/3 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))
(* 1/48 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64))
(* (pow x 3) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) x)
(* 1/48 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/48 binary64))
(* (pow x 2) (+ 1/48 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))
(* -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))
(* 1/20160 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/20160 binary64))
(* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/480 binary64) (.f64 x x)) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/480 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))) (* 3/2 (/ 1 (pow x 6)))))
(.f64 (-.f64 (-.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/480 binary64) (.f64 x x))) (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* 1/20160 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/480 binary64)) x) x)
(* (pow x 4) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/480 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(* 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))
(* -1/480 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/480 binary64))
(* -1 (* (pow x 3) (+ 1/480 (* 1/8 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -1/8 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/480 binary64)))
(* (pow x 3) (- (/ 3/2 (pow x 4)) (+ 1/480 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) x)
(* -1/480 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/480 binary64))
(* -1 (* (pow x 4) (+ 1/480 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -1/8 binary64) x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/480 binary64))) x)
(* (pow x 4) (- (/ 3/2 (pow x 4)) (+ 1/480 (* 1/8 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/480 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/8 binary64) (.f64 x x)))
(* -1 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/480 binary64)) x) x) #s(literal -1/20160 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))))
(.f64 (-.f64 (-.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/480 binary64) (.f64 x x))) (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 3) (- (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (/ 3/2 (pow x 4)))))
(.f64 (fma.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/480 binary64)) (.f64 x x) #s(literal -1/8 binary64)) x)

rewrite215.0ms (2.7%)

Memory

4.9MiB live, 199.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	256
0	74	252
1	272	246
2	1478	246
0	8248	234

Stop Event

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

Counts

18 → 377

Calls

Call 1

Inputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))
(.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)
#s(approx (+ (* 1/48 (* x x)) 1/4) #s(literal 1/4 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
#s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x)))
(fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
#s(approx (/ 3/4 (tan (* 1/2 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))
(/.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)
(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))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64))
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)))
(.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -4/3 binary64))
(.f64 (.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3/4 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))))
(.f64 #s(literal -4/3 binary64) (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.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)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 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 binary64))
(pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.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 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -3/4 binary64))
(/.f64 (.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3/4 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 4/3 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(neg.f64 (.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) #s(approx ( (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))) #s(literal -1/2 binary64)))
(.f64 #s(literal 8/3 binary64) (pow.f64 (pow.f64 #s(approx ( (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 8/3 binary64) #s(approx ( (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)))
(.f64 (neg.f64 #s(approx ( (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))) #s(literal -8/3 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 8/3 binary64) #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 3/8 binary64) #s(approx ( (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))))))
(.f64 #s(literal -1 binary64) (.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal -8/3 binary64)))
(.f64 #s(approx ( (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(pow.f64 (/.f64 #s(literal 3/8 binary64) #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))) #s(literal -3/8 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 3/8 binary64) #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3/8 binary64) #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)))))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal -8/3 binary64))))
(neg.f64 (.f64 #s(approx ( (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal -8/3 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 #s(approx ( (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal -8/3 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 3/8 binary64) #s(approx ( (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) #s(approx ( (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx ( (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))))
#s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))
(neg.f64 (neg.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x))))
(.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)
(.f64 x #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)))
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(/.f64 (neg.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.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 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -3/4 binary64))
(/.f64 (.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3/4 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 4/3 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(neg.f64 (.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 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 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 3/4 binary64))
(.f64 (/.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) (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -3/4 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.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) (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(pow.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 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 4/3 binary64))
(/.f64 (/.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) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -4/3 binary64))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -1 binary64) (.f64 #s(literal -4/3 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)))
(neg.f64 (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #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 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(pow.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))

eval148.0ms (1.9%)

Memory: 0.3MiB live, 84.3MiB allocated
Compiler: Compiled 12 094 to 1 457 computations (88% saved)

prune30.0ms (0.4%)

Memory

14.4MiB live, 85.1MiB allocated

Pruning

25 alts after pruning (13 fresh and 12 done)

	Pruned	Kept	Total
New	412	5	417
Fresh	3	8	11
Picked	0	5	5
Done	0	7	7
Total	415	25	440

Accuracy

100.0%

Counts

440 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.2%	(/.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)))
	99.3%	(/.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))))
✓	99.8%	(/.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 #s(literal 3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓	54.1%	(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64)))
	54.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))) #s(literal -4/3 binary64)))
	53.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ -1 (tan (* x 1/2))) (/.f64 #s(literal -2 binary64) x)) #s(literal -4/3 binary64)))
✓	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
	99.4%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -3/4 binary64)))
	54.6%	(/.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)))
✓	54.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
	54.6%	(/.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)))
	53.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(approx (+ (* (+ (* -1/480 (* x x)) -1/8) (* x x)) 3/2) #s(literal 3/2 binary64)) x)))
	53.7%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 #s(approx (tan ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))))
✓	54.5%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (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)) x (/.f64 #s(literal -3/2 binary64) x))))
	54.6%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
✓	54.6%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
	99.5%	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
✓	50.2%	#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)))
	53.8%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (.f64 #s(literal 1/18 binary64) (.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)))
✓	53.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
	53.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
✓	53.8%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓	53.8%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 1 300 to 611 computations (53% saved)

regimes33.0ms (0.4%)

Memory

-26.1MiB live, 64.1MiB allocated

Counts

48 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #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)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #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 #s(literal 1/18 binary64) (.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (/.f64 #s(literal -3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(approx (+ (* (+ (* -1/480 (* x x)) -1/8) (* x x)) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 #s(approx (tan ( x 1/2)) (*.f64 #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 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ -1 (tan (* x 1/2))) (/.f64 #s(literal -2 binary64) x)) #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))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 (fma.f64 #s(approx (+ (* 1/20160 (* x x)) 1/480) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))) #s(literal -4/3 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (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)) x (/.f64 #s(literal -3/2 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 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.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 -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -3/4 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64)))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (* 3/8 (sin x))) (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 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 4/3 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
(/.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 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (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 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (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))))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 3/8 binary64) (sin.f64 x))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

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

Calls

2 calls:

17.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
12.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	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)

regimes17.0ms (0.2%)

Memory

3.0MiB live, 38.3MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #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)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #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 #s(literal 1/18 binary64) (.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (/.f64 #s(literal -3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(approx (+ (* (+ (* -1/480 (* x x)) -1/8) (* x x)) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 #s(approx (tan ( x 1/2)) (*.f64 #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 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ -1 (tan (* x 1/2))) (/.f64 #s(literal -2 binary64) x)) #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))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 (fma.f64 #s(approx (+ (* 1/20160 (* x x)) 1/480) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))) #s(literal -4/3 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (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)) x (/.f64 #s(literal -3/2 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:

7.0ms	x
7.0ms	(/.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
99.5%	1	`x`
99.5%	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)

regimes16.0ms (0.2%)

Memory

7.5MiB live, 45.3MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #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)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #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 #s(literal 1/18 binary64) (.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (/.f64 #s(literal -3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(approx (+ (* (+ (* -1/480 (* x x)) -1/8) (* x x)) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/480) (* x x)) 1/8) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 #s(approx (tan ( x 1/2)) (*.f64 #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 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ -1 (tan (* x 1/2))) (/.f64 #s(literal -2 binary64) x)) #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))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 (fma.f64 #s(approx (+ (* 1/20160 (* x x)) 1/480) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/480 binary64) x) x #s(literal 1/8 binary64)) x (/.f64 #s(literal -3/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ -1 (tan (* x 1/2))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))) #s(literal -4/3 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (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)) x (/.f64 #s(literal -3/2 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 (/ -1 (* (tan (* x 1/2)) 4/3)) (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal -3/2 binary64) x))))

Calls

2 calls:

8.0ms	x
6.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Results

Accuracy	Segments	Branch
54.6%	1	`x`
54.6%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes8.0ms (0.1%)

Memory

21.5MiB live, 21.4MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #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)) 1/2) (.f64 #s(approx (+ ( 1/48 (* x x)) 1/4) #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 #s(literal 1/18 binary64) (.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (tan (* x 1/2)) 4/3)) (/.f64 #s(literal -3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(approx (+ (* (+ (* -1/480 (* x x)) -1/8) (* x x)) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))

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
54.1%	1	`x`
54.1%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes39.0ms (0.5%)

Memory

-35.6MiB live, 15.4MiB allocated

Accuracy

Total -0.3b remaining (-1%)

Threshold costs -0.3b (-1%)

Counts

2 → 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))

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:

1.0ms	(/.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
53.8%	1	`x`
53.8%	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)

simplify10.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	59
1	48	59
2	60	59
3	69	59
4	72	59

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

soundness1.4s (18.2%)

Memory

-13.4MiB live, 667.0MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	200	676
1	587	676
2	1501	672
3	3726	666
4	6445	662
0	8198	603
0	40	171
0	62	165
1	191	157
2	1069	157
0	8384	157
0	11	34
0	19	34
1	34	28
2	118	28
3	651	24
4	5470	21
0	8098	21
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	59	227
0	85	225
1	295	218
2	1704	218
0	8225	217

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

Compiler

Compiled 121 to 81 computations (33.1% saved)

preprocess44.0ms (0.6%)

Memory: 23.9MiB live, 101.6MiB allocated
Remove: (negabs x)
Compiler: Compiled 198 to 134 computations (32.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	59	258
0	85	256
1	129	252
2	190	252
3	305	252
4	474	252
5	522	252
6	530	252
7	534	252
8	540	252
9	549	252
10	557	252
11	559	252
0	559	251

Iter	Nodes	Cost
0	53	295
0	74	295
1	107	287
2	150	285
3	246	285
4	316	285
5	337	285
6	346	285
7	353	285
8	363	285
9	382	285
10	392	285
11	398	285
0	398	273

Iter	Nodes	Cost
0	59	258
0	85	256
1	129	252
2	190	252
3	305	252
4	474	252
5	522	252
6	530	252
7	534	252
8	540	252
9	549	252
10	557	252
11	559	252
0	559	251

Iter	Nodes	Cost
0	53	295
0	74	295
1	107	287
2	150	285
3	246	285
4	316	285
5	337	285
6	346	285
7	353	285
8	363	285
9	382	285
10	392	285
11	398	285
0	398	273

start0.0ms (0%)

analyze246.0ms (3.1%)

sample1.8s (23.1%)

explain130.0ms (1.6%)

preprocess53.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize47.0ms (0.6%)

series5.0ms (0.1%)

simplify209.0ms (2.6%)

rewrite405.0ms (5.1%)

eval98.0ms (1.2%)

prune31.0ms (0.4%)

simplify39.0ms (0.5%)

localize213.0ms (2.7%)

series16.0ms (0.2%)

simplify165.0ms (2.1%)

rewrite216.0ms (2.7%)

eval110.0ms (1.4%)

prune25.0ms (0.3%)

simplify22.0ms (0.3%)

localize486.0ms (6.1%)

series167.0ms (2.1%)

simplify244.0ms (3.1%)

rewrite371.0ms (4.7%)

eval112.0ms (1.4%)

prune27.0ms (0.3%)

simplify18.0ms (0.2%)

localize420.0ms (5.3%)

series9.0ms (0.1%)

simplify203.0ms (2.6%)

rewrite215.0ms (2.7%)

eval148.0ms (1.9%)

prune30.0ms (0.4%)

regimes33.0ms (0.4%)

regimes17.0ms (0.2%)

regimes16.0ms (0.2%)

regimes8.0ms (0.1%)

regimes39.0ms (0.5%)

simplify10.0ms (0.1%)

soundness1.4s (18.2%)

preprocess44.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	59	258
0	85	256
1	129	252
2	190	252
3	305	252
4	474	252
5	522	252
6	530	252
7	534	252
8	540	252
9	549	252
10	557	252
11	559	252
0	559	251

Iter	Nodes	Cost
0	53	295
0	74	295
1	107	287
2	150	285
3	246	285
4	316	285
5	337	285
6	346	285
7	353	285
8	363	285
9	382	285
10	392	285
11	398	285
0	398	273