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

analyze230.0ms (2.2%)

Memory

28.3MiB live, 416.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample1.4s (13.4%)

Memory

17.0MiB live, 1 806.9MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 910.0ms

ival-sin: 490.0ms (53.8% of total)

ival-mult: 219.0ms (24.1% of total)

ival-div: 183.0ms (20.1% of total)

exact: 10.0ms (1.1% of total)

ival-true: 6.0ms (0.7% of total)

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

Bogosity

preprocess73.0ms (0.7%)

Memory

-21.4MiB live, 23.8MiB allocated

Algorithm

1×	egg-herbie

Rules

586×	`times-frac`
414×	`associate-*r/`
412×	`associate-r`
284×	`associate-l`
270×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	35	29
2	95	28
3	296	28
4	900	28
5	1747	28
6	1848	28
7	1878	28
8	1906	28
9	1918	28
10	1990	28
11	2425	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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))

Symmetry

(negabs x)

explain318.0ms (3%)

Memory

-6.5MiB live, 190.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
57	0	-	3	(1.6430530774211753e-159)	`(/.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	134	(3.2127999238798205e+233)	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	134	0
`/.f64`	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`	u/n	54	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	54

Confusion

	Predicted +	Predicted -
+	54	3
-	134	65

Precision

0.2872340425531915

Recall

0.9473684210526315

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	54	0	3
-	134	0	65

Precision?

0.2872340425531915

Recall?

0.9473684210526315

Freqs

test

number	freq
0	68
1	188

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

99.0ms

512×

valid

Compiler

Compiled 144 to 48 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-sin: 22.0ms (53.4% of total)

ival-mult: 11.0ms (26.7% of total)

ival-div: 7.0ms (17% of total)

exact: 1.0ms (2.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.2%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify6.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
✓	cost-diff	704	(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))

Rules

46×	`lower-*.f32`
40×	`lower-*.f64`
20×	`*-commutative`
10×	`associate-/l*`
10×	`lower-/.f32`

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

localize42.0ms (0.4%)

Memory

10.5MiB live, 87.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.6%	(.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	99.5%	(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
✓	accuracy	79.5%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Samples

26.0ms

256×

valid

Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sin: 11.0ms (58.3% of total)

ival-div: 4.0ms (21.2% of total)

ival-mult: 4.0ms (21.2% 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

11.1MiB live, 11.1MiB allocated

Counts

5 → 48

Calls

Call 1

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

Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
1.0ms	x	@	-inf	(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
1.0ms	x	@	inf	(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))
1.0ms	x	@	0	(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
0.0ms	x	@	-inf	(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))

rewrite181.0ms (1.7%)

Memory

-8.6MiB live, 274.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 420×	`lower-*.f32`
2 414×	`lower-*.f64`
2 008×	`lower-/.f32`
2 006×	`lower-/.f64`
534×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	36
0	19	36
1	34	30
2	115	30
3	628	26
0	4915	26

Stop Event

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

Counts

5 → 269

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

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

simplify904.0ms (8.6%)

Memory

-150.3MiB live, 556.7MiB allocated

Algorithm

1×	egg-herbie

Rules

16 762×	`lower-fma.f64`
16 762×	`lower-fma.f32`
3 682×	`lower-*.f64`
3 682×	`lower-*.f32`
3 588×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	432
1	250	432
2	592	432
3	1382	432
4	2625	432
5	3633	432
6	4315	432
7	5080	432
8	6196	432
0	8074	408

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 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))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 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))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/30240 binary64)) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 2/3 (pow x 2))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64))) #s(literal 2/3 binary64)))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 4/3 x)
(*.f64 x #s(literal 4/3 binary64))
(* x (+ 4/3 (* -1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/241920 binary64)) #s(literal 1/1440 binary64))) #s(literal -1/18 binary64))) #s(literal 4/3 binary64)))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/48 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64))) #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))

eval77.0ms (0.7%)

Memory: 11.5MiB live, 88.5MiB allocated
Compiler: Compiled 5 298 to 776 computations (85.4% saved)

prune379.0ms (3.6%)

Memory

-18.0MiB live, 143.3MiB allocated

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	313	29	342
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	314	29	343

Accuracy

100.0%

Counts

343 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.8%	(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
	54.9%	(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
	54.8%	(/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x))
	54.8%	(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	54.7%	(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
	54.8%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
	55.0%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
▶	79.2%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	28.8%	(/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
	79.2%	(/.f64 (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
	99.3%	(/.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
	28.6%	(/.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) (sin.f64 x))
	54.8%	(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
	54.8%	(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
▶	54.9%	(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	79.2%	(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	54.8%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
	52.3%	(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x))
	99.2%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
▶	99.5%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
	79.2%	(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
	79.2%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))
	54.8%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
	54.8%	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal 3/8 binary64))))
	99.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
▶	54.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
	48.1%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
	48.1%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
▶	48.2%	(*.f64 #s(literal 2/3 binary64) x)

Compiler

Compiled 778 to 560 computations (28% saved)

simplify84.0ms (0.8%)

Memory

-1.4MiB live, 37.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
✓	cost-diff	0	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sin.f64 x))
✓	cost-diff	128	(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64))
✓	cost-diff	320	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
✓	cost-diff	0	(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓	cost-diff	320	(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
✓	cost-diff	0	(*.f64 #s(literal 2/3 binary64) x)
✓	cost-diff	0	(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
✓	cost-diff	0	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
✓	cost-diff	384	(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))

Rules

474×	`lower-*.f32`
454×	`lower-*.f64`
276×	`associate-l`
274×	`associate-r`
224×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	163
0	51	158
1	88	158
2	163	158
3	283	156
4	386	156
5	509	156
6	571	156
7	623	156
8	698	156
9	733	156
10	749	156
11	759	156
12	775	156
13	821	156
0	821	153

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize358.0ms (3.4%)

Memory

17.4MiB live, 170.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	accuracy	99.6%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
✓	accuracy	99.5%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
✓	accuracy	79.5%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (sin.f64 x))
✓	accuracy	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64))
✓	accuracy	79.4%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
✓	accuracy	75.7%	(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.5%	(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
✓	accuracy	79.4%	(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
✓	accuracy	75.7%	(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.5%	(*.f64 #s(literal 2/3 binary64) x)
✓	accuracy	100.0%	(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	accuracy	99.8%	(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
✓	accuracy	99.8%	(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
✓	accuracy	99.6%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))

Samples

145.0ms	67×	2	valid
95.0ms	137×	0	valid
14.0ms	38×	1	valid
10.0ms	14×	3	valid

Compiler

Compiled 167 to 32 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-div: 60.0ms (32.7% of total)

ival-add: 51.0ms (27.8% of total)

ival-mult: 20.0ms (10.9% of total)

ival-cos: 19.0ms (10.3% of total)

ival-sin: 17.0ms (9.3% of total)

const: 9.0ms (4.9% of total)

adjust: 7.0ms (3.8% of total)

exact: 1.0ms (0.5% of total)

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

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

series14.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))>
#<alt (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 2/3 binary64) x)>
#<alt (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))>
#<alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))>
#<alt (cos.f64 x)>
#<alt (/.f64 #s(literal 8/3 binary64) (sin.f64 x))>
#<alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64))>
#<alt (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))>
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 x))>
#<alt (/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))>
#<alt (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))>
#<alt (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))>

Outputs
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/16 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (/ 8/3 x)>
#<alt (/ (+ 8/3 (* 4/9 (pow x 2))) x)>
#<alt (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)>
#<alt (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))>
#<alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))>
#<alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))>
#<alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))>
#<alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))>
#<alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))>
#<alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))>
#<alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))>
#<alt (/ -8/3 x)>
#<alt (/ (- (* -4/9 (pow x 2)) 8/3) x)>
#<alt (/ (- (* (pow x 2) (- (* -7/135 (pow x 2)) 4/9)) 8/3) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/5670 (pow x 2)) 7/135)) 4/9)) 8/3) x)>
#<alt (/ -8/3 (sin x))>
#<alt (/ -8/3 (sin x))>
#<alt (/ -8/3 (sin x))>
#<alt (/ -8/3 (sin x))>
#<alt (/ -8/3 (sin x))>
#<alt (/ -8/3 (sin x))>
#<alt (/ -8/3 (sin x))>
#<alt (/ -8/3 (sin x))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/80640 (pow x 2)) 1/1440)))) 1/4))>
#<alt (- (* 1/2 (cos x)) 1/2)>
#<alt (- (* 1/2 (cos x)) 1/2)>
#<alt (- (* 1/2 (cos x)) 1/2)>
#<alt (- (* 1/2 (cos x)) 1/2)>
#<alt (- (* 1/2 (cos x)) 1/2)>
#<alt (- (* 1/2 (cos x)) 1/2)>
#<alt (- (* 1/2 (cos x)) 1/2)>
#<alt (- (* 1/2 (cos x)) 1/2)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/6 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* (+ (* (cos x) -1/2) 1/2) (/ 8/3 (sin x)))
1.0ms	x	@	inf	(* (* (/ 1 (sin x)) -8/3) (+ -1/2 (* 1/2 (cos x))))
1.0ms	x	@	-inf	(* (+ (* (cos x) -1/2) 1/2) (/ 8/3 (sin x)))
1.0ms	x	@	-inf	(* (* (/ 1 (sin x)) -8/3) (+ -1/2 (* 1/2 (cos x))))
0.0ms	x	@	inf	(/ 8/3 (sin x))

rewrite339.0ms (3.2%)

Memory

2.8MiB live, 477.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 346×	`lower-fma.f32`
4 344×	`lower-fma.f64`
4 334×	`lower-*.f32`
4 314×	`lower-*.f64`
2 858×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	115
0	51	110
1	148	101
2	807	99
3	7265	99
0	8261	96

Stop Event

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

Counts

16 → 1 153

Calls

Call 1

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

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

simplify473.0ms (4.5%)

Memory

-3.1MiB live, 877.2MiB allocated

Algorithm

1×	egg-herbie

Rules

17 762×	`lower-fma.f64`
17 762×	`lower-fma.f32`
5 218×	`lower-+.f64`
5 218×	`lower-+.f32`
5 152×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	1572
1	584	1572
2	1450	1540
3	3297	1538
4	5472	1534
5	6123	1534
0	8226	1412

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(* 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))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 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))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 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))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin 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))))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(* 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))))))))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(/ -8/3 x)
(/ (- (* -4/9 (pow x 2)) 8/3) x)
(/ (- (* (pow x 2) (- (* -7/135 (pow x 2)) 4/9)) 8/3) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/5670 (pow x 2)) 7/135)) 4/9)) 8/3) x)
(/ -8/3 (sin x))
(/ -8/3 (sin x))
(/ -8/3 (sin x))
(/ -8/3 (sin x))
(/ -8/3 (sin x))
(/ -8/3 (sin x))
(/ -8/3 (sin x))
(/ -8/3 (sin x))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/80640 (pow x 2)) 1/1440)))) 1/4))
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(/ 1 x)
(/ (+ 1 (* 1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(* 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))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 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))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 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))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))

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

eval197.0ms (1.9%)

Memory: 4.9MiB live, 385.9MiB allocated
Compiler: Compiled 25 822 to 1 953 computations (92.4% saved)

prune157.0ms (1.5%)

Memory

-21.1MiB live, 389.5MiB allocated

Pruning

42 alts after pruning (38 fresh and 4 done)

	Pruned	Kept	Total
New	1 373	21	1 394
Fresh	7	17	24
Picked	1	4	5
Done	0	0	0
Total	1 381	42	1 423

Accuracy

100.0%

Counts

1 423 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.6%	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal -8/3 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
▶	54.8%	(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
	54.8%	(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
	54.9%	(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
	54.9%	(/.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))
▶	54.8%	(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	54.7%	(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
	79.2%	(/.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	54.8%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
	55.0%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
✓	79.2%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	28.8%	(/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
	28.6%	(/.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (sin.f64 x))
	79.2%	(/.f64 (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
	28.6%	(/.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) (sin.f64 x))
	54.8%	(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
	54.8%	(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
	51.3%	(-.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (-.f64 #s(literal 4/3 binary64) (.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))) (/.f64 (pow.f64 (/.f64 (.f64 (cos.f64 x) #s(literal -4/3 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 4/3 binary64) (.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))))
	54.5%	(+.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) (sin.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
	4.4%	(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x))
✓	54.9%	(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	4.7%	(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) x))
	54.8%	(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
	54.8%	(*.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
▶	4.5%	(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))))
	4.1%	(*.f64 (fma.f64 #s(literal 1 binary64) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	79.2%	(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	54.8%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
	99.2%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
✓	99.5%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
	79.2%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))
	54.8%	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal 3/8 binary64))))
	4.4%	(.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))))
	28.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (.f64 x (.f64 x #s(literal -1/4 binary64))))
	4.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
	28.7%	(.f64 (.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
▶	99.2%	(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
	48.1%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
▶	48.1%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))
✓	48.2%	(*.f64 #s(literal 2/3 binary64) x)
	53.2%	(.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
	54.7%	(.f64 #s(literal -8/3 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))

Compiler

Compiled 1 077 to 782 computations (27.4% saved)

simplify382.0ms (3.6%)

Memory

21.1MiB live, 296.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
✓	cost-diff	7680	(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	cost-diff	0	(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓	cost-diff	6784	(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -8/3 binary64) x)
✓	cost-diff	0	(fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x))
✓	cost-diff	0	(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))))
✓	cost-diff	128	(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
✓	cost-diff	128	(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))

Rules

6 054×	`lower-fma.f32`
6 048×	`lower-fma.f64`
2 890×	`lower-*.f32`
2 874×	`lower-*.f64`
1 438×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	167
0	60	166
1	107	166
2	211	165
3	462	165
4	800	161
5	1245	157
6	2270	157
7	4330	157
8	6647	157
0	8030	155

Stop Event

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

Calls

Call 1

Inputs
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
#s(literal -8/3 binary64)
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 x)
(.f64 x (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)
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x))
x
#s(literal -4/9 binary64)
(/.f64 #s(literal -8/3 binary64) x)
#s(literal -8/3 binary64)
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 x))
#s(literal 1/2 binary64)
(cos.f64 x)
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 x)
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(sin.f64 x)
#s(literal 3/8 binary64)
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)
x
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)

Outputs
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
#s(literal -8/3 binary64)
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))
(.f64 x (fma.f64 x (.f64 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))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(*.f64 x x)
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(*.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x))
x
#s(literal -4/9 binary64)
(/.f64 #s(literal -8/3 binary64) x)
#s(literal -8/3 binary64)
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 x))
#s(literal 1/2 binary64)
(cos.f64 x)
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(cos.f64 x)
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(sin.f64 x)
#s(literal 3/8 binary64)
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)
x
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal -2 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)

localize287.0ms (2.7%)

Memory

-10.8MiB live, 348.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	accuracy	99.5%	(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
✓	accuracy	78.8%	(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	accuracy	75.7%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.6%	(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
✓	accuracy	79.4%	(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
✓	accuracy	75.7%	(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.7%	(fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x))
✓	accuracy	99.4%	(/.f64 #s(literal -8/3 binary64) x)
✓	accuracy	79.5%	(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))))
✓	accuracy	75.7%	(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))
✓	accuracy	99.6%	(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
✓	accuracy	100.0%	(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	accuracy	99.8%	(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
✓	accuracy	99.6%	(.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
✓	accuracy	99.5%	(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))

Samples

72.0ms	25×	3	valid
57.0ms	38×	1	valid
52.0ms	137×	0	valid
45.0ms	56×	2	valid

Compiler

Compiled 175 to 39 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

const: 61.0ms (31% of total)

ival-cos: 60.0ms (30.5% of total)

ival-mult: 22.0ms (11.2% of total)

ival-sin: 20.0ms (10.2% of total)

ival-div: 12.0ms (6.1% of total)

adjust: 10.0ms (5.1% of total)

ival-add: 7.0ms (3.6% of total)

ival-sub: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

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

series18.0ms (0.2%)

Memory

2.3MiB live, 40.1MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))>
#<alt (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))>
#<alt (*.f64 x x)>
#<alt (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))>
#<alt (.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))))>
#<alt (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x))>
#<alt (/.f64 #s(literal -8/3 binary64) x)>
#<alt (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))>
#<alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))>
#<alt (cos.f64 x)>
#<alt (*.f64 (sin.f64 x) #s(literal 3/8 binary64))>
#<alt (/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 #s(literal 8/3 binary64) (sin.f64 x))>
#<alt (sin.f64 x)>
#<alt (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>

Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/48 (pow x 2)) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/48 (* -1/3840 (pow x 2)))) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/645120 (pow x 2)) 1/3840)))) 1/2))>
#<alt (* -1 (sin (* 1/2 x)))>
#<alt (* -1 (sin (* 1/2 x)))>
#<alt (* -1 (sin (* 1/2 x)))>
#<alt (* -1 (sin (* 1/2 x)))>
#<alt (* -1 (sin (* 1/2 x)))>
#<alt (* -1 (sin (* 1/2 x)))>
#<alt (* -1 (sin (* 1/2 x)))>
#<alt (* -1 (sin (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* 1/18 (pow x 3))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 (pow x 3))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt 2/3>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (* 1/18 (pow x 2))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 (pow x 2))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/80640 (pow x 2)) 1/1440)))) 1/4))>
#<alt (- (* 1/2 (cos x)) 1/2)>
#<alt (- (* 1/2 (cos x)) 1/2)>
#<alt (- (* 1/2 (cos x)) 1/2)>
#<alt (- (* 1/2 (cos x)) 1/2)>
#<alt (- (* 1/2 (cos x)) 1/2)>
#<alt (- (* 1/2 (cos x)) 1/2)>
#<alt (- (* 1/2 (cos x)) 1/2)>
#<alt (- (* 1/2 (cos x)) 1/2)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* -1/135 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 5/18144 (pow x 2)) 1/135))))))>
#<alt (* -4/9 (* x (- (* 1/2 (cos x)) 1/2)))>
#<alt (* x (+ (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (pow x 2))) (* -4/9 (- (* 1/2 (cos x)) 1/2))))>
#<alt (* x (+ (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (pow x 2))) (* -4/9 (- (* 1/2 (cos x)) 1/2))))>
#<alt (* x (+ (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (pow x 2))) (* -4/9 (- (* 1/2 (cos x)) 1/2))))>
#<alt (* -4/9 (* x (- (* 1/2 (cos x)) 1/2)))>
#<alt (* -1 (* x (+ (* 4/9 (- (* 1/2 (cos x)) 1/2)) (* 8/3 (/ (- (* 1/2 (cos x)) 1/2) (pow x 2))))))>
#<alt (* -1 (* x (+ (* 4/9 (- (* 1/2 (cos x)) 1/2)) (* 8/3 (/ (- (* 1/2 (cos x)) 1/2) (pow x 2))))))>
#<alt (* -1 (* x (+ (* 4/9 (- (* 1/2 (cos x)) 1/2)) (* 8/3 (/ (- (* 1/2 (cos x)) 1/2) (pow x 2))))))>
#<alt (/ -8/3 x)>
#<alt (/ (- (* -4/9 (pow x 2)) 8/3) x)>
#<alt (/ (- (* -4/9 (pow x 2)) 8/3) x)>
#<alt (/ (- (* -4/9 (pow x 2)) 8/3) x)>
#<alt (* -4/9 x)>
#<alt (* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))>
#<alt (* -4/9 x)>
#<alt (* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 3/8 x)>
#<alt (* x (+ 3/8 (* -1/16 (pow x 2))))>
#<alt (* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))>
#<alt (* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (/ 8/3 x)>
#<alt (/ (+ 8/3 (* 4/9 (pow x 2))) x)>
#<alt (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)>
#<alt (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (/ 4 (pow x 2))>
#<alt (/ (+ 4 (* 1/3 (pow x 2))) (pow x 2))>
#<alt (/ (+ 4 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 4 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/1512 (pow x 2))))))) (pow x 2))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt -4/3>
#<alt (- (* -1/6 (pow x 2)) 4/3)>
#<alt (- (* (pow x 2) (- (* -5/288 (pow x 2)) 1/6)) 4/3)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -61/34560 (pow x 2)) 5/288)) 1/6)) 4/3)>
#<alt (* -8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* -8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* -8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* -8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* -8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* -8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* -8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* -8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/16 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>

Calls

66 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* 1/2 x)
2.0ms	x	@	inf	(/ 2 (- 1 (cos x)))
1.0ms	x	@	-inf	(/ (/ 8/3 (sin x)) (/ 2 (- 1 (cos x))))
1.0ms	x	@	inf	(/ (/ 8/3 (sin x)) (/ 2 (- 1 (cos x))))
1.0ms	x	@	inf	(* (+ (* x -4/9) (/ -8/3 x)) (+ -1/2 (* 1/2 (cos x))))

rewrite387.0ms (3.7%)

Memory

20.7MiB live, 591.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 476×	`lower-fma.f32`
4 470×	`lower-fma.f64`
4 132×	`lower-/.f32`
4 120×	`lower-/.f64`
3 858×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	136
0	60	135
1	214	135
2	1475	132
0	8473	130

Stop Event

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

Counts

22 → 1 015

Calls

Call 1

Inputs
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x))
(/.f64 #s(literal -8/3 binary64) x)
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 x)
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(sin.f64 x)
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))

Outputs
(+.f64 #s(literal 0 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))))
(-.f64 #s(literal 0 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))))
(neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))))
(neg.f64 (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))))
(neg.f64 (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))))
(neg.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (.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 #s(literal 1 binary64) (/.f64 (sin.f64 x) (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))) (.f64 #s(literal 0 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))))) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))
(.f64 #s(literal -8/3 binary64) (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))))
(.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal 8/3 binary64))
(.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) #s(literal -8/3 binary64))
(.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(.f64 (neg.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))))
(+.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) #s(literal 0 binary64))) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) #s(literal 0 binary64)) (neg.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))))) (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 0 binary64))))
(.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(neg.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) #s(literal 0 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) #s(literal 0 binary64))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/18 binary64))) (.f64 x #s(literal 2/3 binary64)))
(+.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/18 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/324 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/18 binary64)) (.f64 #s(literal -2/3 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 4/9 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/18 binary64)) (.f64 #s(literal -2/3 binary64) x))))
(fma.f64 x #s(literal 2/3 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/18 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/18 binary64)) (*.f64 x #s(literal 2/3 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))))

simplify465.0ms (4.4%)

Memory

1.6MiB live, 732.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 164×	`lower-fma.f64`
15 164×	`lower-fma.f32`
6 698×	`lower-+.f64`
6 698×	`lower-+.f32`
4 224×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	311	1994
1	840	1988
2	2183	1988
3	3927	1928
4	7014	1928
0	8107	1773

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 263

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))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* -1/2 x)
(* x (- (* 1/48 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/48 (* -1/3840 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/645120 (pow x 2)) 1/3840)))) 1/2))
(* -1 (sin (* 1/2 x)))
(* -1 (sin (* 1/2 x)))
(* -1 (sin (* 1/2 x)))
(* -1 (sin (* 1/2 x)))
(* -1 (sin (* 1/2 x)))
(* -1 (sin (* 1/2 x)))
(* -1 (sin (* 1/2 x)))
(* -1 (sin (* 1/2 x)))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/80640 (pow x 2)) 1/1440)))) 1/4))
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(- (* 1/2 (cos x)) 1/2)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* -1/135 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 5/18144 (pow x 2)) 1/135))))))
(* -4/9 (* x (- (* 1/2 (cos x)) 1/2)))
(* x (+ (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (pow x 2))) (* -4/9 (- (* 1/2 (cos x)) 1/2))))
(* x (+ (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (pow x 2))) (* -4/9 (- (* 1/2 (cos x)) 1/2))))
(* x (+ (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (pow x 2))) (* -4/9 (- (* 1/2 (cos x)) 1/2))))
(* -4/9 (* x (- (* 1/2 (cos x)) 1/2)))
(* -1 (* x (+ (* 4/9 (- (* 1/2 (cos x)) 1/2)) (* 8/3 (/ (- (* 1/2 (cos x)) 1/2) (pow x 2))))))
(* -1 (* x (+ (* 4/9 (- (* 1/2 (cos x)) 1/2)) (* 8/3 (/ (- (* 1/2 (cos x)) 1/2) (pow x 2))))))
(* -1 (* x (+ (* 4/9 (- (* 1/2 (cos x)) 1/2)) (* 8/3 (/ (- (* 1/2 (cos x)) 1/2) (pow x 2))))))
(/ -8/3 x)
(/ (- (* -4/9 (pow x 2)) 8/3) x)
(/ (- (* -4/9 (pow x 2)) 8/3) x)
(/ (- (* -4/9 (pow x 2)) 8/3) x)
(* -4/9 x)
(* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))
(* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))
(* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))
(* -4/9 x)
(* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))
(* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))
(* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(* 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))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin 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))))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 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))))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(/ 4 (pow x 2))
(/ (+ 4 (* 1/3 (pow x 2))) (pow x 2))
(/ (+ 4 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) (pow x 2))
(/ (+ 4 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/1512 (pow x 2))))))) (pow x 2))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
-4/3
(- (* -1/6 (pow x 2)) 4/3)
(- (* (pow x 2) (- (* -5/288 (pow x 2)) 1/6)) 4/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -61/34560 (pow x 2)) 5/288)) 1/6)) 4/3)
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/48 (pow x 2)) 1/2))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/48 binary64) #s(literal -1/2 binary64)))
(* x (- (* (pow x 2) (+ 1/48 (* -1/3840 (pow x 2)))) 1/2))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/3840 binary64)) #s(literal 1/48 binary64)) #s(literal -1/2 binary64)))
(* x (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/645120 (pow x 2)) 1/3840)))) 1/2))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/645120 binary64) #s(literal -1/3840 binary64))) #s(literal 1/48 binary64)) #s(literal -1/2 binary64)))
(* -1 (sin (* 1/2 x)))
(neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* -1 (sin (* 1/2 x)))
(neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* -1 (sin (* 1/2 x)))
(neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* -1 (sin (* 1/2 x)))
(neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* -1 (sin (* 1/2 x)))
(neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* -1 (sin (* 1/2 x)))
(neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* -1 (sin (* 1/2 x)))
(neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* -1 (sin (* 1/2 x)))
(neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/48 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3840 binary64) #s(literal -1/48 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
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(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(/ 8/3 x)
(/.f64 #s(literal 8/3 binary64) x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 7/135 binary64) #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/5670 binary64) #s(literal 7/135 binary64))) #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x)
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ (+ 4 (* 1/3 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 4 binary64)) (.f64 x x))
(/ (+ 4 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 4 binary64)) (*.f64 x x))
(/ (+ 4 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/1512 (pow x 2))))))) (pow x 2))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/1512 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 4 binary64)) (.f64 x x))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
-4/3
#s(literal -4/3 binary64)
(- (* -1/6 (pow x 2)) 4/3)
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -4/3 binary64))
(- (* (pow x 2) (- (* -5/288 (pow x 2)) 1/6)) 4/3)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/288 binary64)) #s(literal -1/6 binary64)) #s(literal -4/3 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -61/34560 (pow x 2)) 5/288)) 1/6)) 4/3)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/34560 binary64) #s(literal -5/288 binary64)) #s(literal -1/6 binary64)) #s(literal -4/3 binary64))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/16 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/768 binary64) #s(literal 1/16 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 61/92160 binary64)) #s(literal 5/768 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))

eval233.0ms (2.2%)

Memory: -11.5MiB live, 366.4MiB allocated
Compiler: Compiled 30 336 to 2 734 computations (91% saved)

prune280.0ms (2.7%)

Memory

10.2MiB live, 324.6MiB allocated

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	1 384	8	1 392
Fresh	21	12	33
Picked	2	3	5
Done	0	4	4
Total	1 407	27	1 434

Accuracy

100.0%

Counts

1 434 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.1%	(fma.f64 x #s(literal 2/3 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/18 binary64))))
✓	54.8%	(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
	54.8%	(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
	54.9%	(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
	54.9%	(/.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))
	54.7%	(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
	78.9%	(/.f64 (.f64 (/.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (.f64 (sin.f64 x) #s(literal 3/8 binary64)))
▶	54.8%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓	79.2%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	28.8%	(/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
	48.3%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
✓	54.9%	(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
▶	54.8%	(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
	54.8%	(*.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
	4.1%	(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	27.8%	(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (.f64 x (*.f64 x #s(literal -1/4 binary64))))
	79.2%	(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	99.2%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
✓	99.5%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
	54.8%	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal 3/8 binary64))))
	79.1%	(.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
✓	99.2%	(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
	48.1%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
	48.0%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/135 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
✓	48.1%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))
▶	99.4%	(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
✓	48.2%	(*.f64 #s(literal 2/3 binary64) x)

Compiler

Compiled 587 to 423 computations (27.9% saved)

simplify226.0ms (2.2%)

Memory

-25.3MiB live, 339.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))
✓	cost-diff	7168	(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	128	(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
✓	cost-diff	6848	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -1/4 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -8/3 binary64) x)
✓	cost-diff	0	(fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x))
✓	cost-diff	1024	(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (.f64 x (*.f64 x #s(literal -1/4 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/18 binary64))
✓	cost-diff	0	(.f64 x (.f64 (*.f64 x x) #s(literal 1/18 binary64)))
✓	cost-diff	320	(fma.f64 x #s(literal 2/3 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/18 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 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))

Rules

4 724×	`lower-*.f32`
4 702×	`lower-*.f64`
2 886×	`lower-fma.f32`
2 880×	`lower-fma.f64`
2 240×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	139
0	56	127
1	91	124
2	162	124
3	312	123
4	668	123
5	1128	121
6	1811	121
7	2271	121
8	3352	121
9	4456	121
10	5665	121
11	6134	121
12	6850	121
0	8083	119

Stop Event

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

Calls

Call 1

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

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

localize231.0ms (2.2%)

Memory

38.1MiB live, 381.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (sin.f64 x))
✓	accuracy	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))
✓	accuracy	79.4%	(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
✓	accuracy	75.7%	(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.6%	(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
✓	accuracy	79.5%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓	accuracy	75.7%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/4 binary64))
✓	accuracy	99.7%	(fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x))
✓	accuracy	99.4%	(/.f64 #s(literal -8/3 binary64) x)
✓	accuracy	79.7%	(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (.f64 x (*.f64 x #s(literal -1/4 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/18 binary64)))
✓	accuracy	99.7%	(fma.f64 x #s(literal 2/3 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/18 binary64))))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 1/18 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.4%	(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))

Samples

82.0ms	67×	2	valid
73.0ms	137×	0	valid
19.0ms	38×	1	valid
13.0ms	14×	3	valid

Compiler

Compiled 146 to 37 computations (74.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-div: 37.0ms (26.4% of total)

ival-mult: 28.0ms (19.9% of total)

const: 25.0ms (17.8% of total)

ival-cos: 20.0ms (14.2% of total)

adjust: 9.0ms (6.4% of total)

ival-add: 8.0ms (5.7% of total)

ival-tan: 6.0ms (4.3% of total)

ival-sin: 5.0ms (3.6% of total)

ival-sub: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series12.0ms (0.1%)

Memory

-6.9MiB live, 28.2MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))>
#<alt (tan.f64 (*.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (fma.f64 x #s(literal 2/3 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/18 binary64))))>
#<alt (.f64 x (.f64 (*.f64 x x) #s(literal 1/18 binary64)))>
#<alt (.f64 (.f64 x x) #s(literal 1/18 binary64))>
#<alt (*.f64 x x)>
#<alt (.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (.f64 x (*.f64 x #s(literal -1/4 binary64))))>
#<alt (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x))>
#<alt (/.f64 #s(literal -8/3 binary64) x)>
#<alt (.f64 x (.f64 x #s(literal -1/4 binary64)))>
#<alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (cos.f64 x)>
#<alt (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))>
#<alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))>
#<alt (*.f64 x #s(literal -1/4 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 x))>

Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* 1/18 (pow x 3))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 (pow x 3))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 (pow x 3))>
#<alt (* 1/18 (pow x 3))>
#<alt (* 1/18 (pow x 3))>
#<alt (* 1/18 (pow x 3))>
#<alt (* 1/18 (pow x 3))>
#<alt (* 1/18 (pow x 3))>
#<alt (* 1/18 (pow x 3))>
#<alt (* 1/18 (pow x 3))>
#<alt (* 1/18 (pow x 3))>
#<alt (* 1/18 (pow x 3))>
#<alt (* 1/18 (pow x 3))>
#<alt (* 1/18 (pow x 3))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/9 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/9 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/9 (pow x 2))))>
#<alt (* 1/9 (pow x 3))>
#<alt (* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/9 (pow x 3))>
#<alt (* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (/ -8/3 x)>
#<alt (/ (- (* -4/9 (pow x 2)) 8/3) x)>
#<alt (/ (- (* -4/9 (pow x 2)) 8/3) x)>
#<alt (/ (- (* -4/9 (pow x 2)) 8/3) x)>
#<alt (* -4/9 x)>
#<alt (* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))>
#<alt (* -4/9 x)>
#<alt (* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (/ -8/3 x)>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (/ 8/3 x)>
#<alt (/ (+ 8/3 (* 4/9 (pow x 2))) x)>
#<alt (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)>
#<alt (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/6 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>

Calls

60 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* (- 1 (cos x)) 4/3)
1.0ms	x	@	inf	(* 4/3 (tan (* x 1/2)))
1.0ms	x	@	-inf	(* 4/3 (tan (* x 1/2)))
0.0ms	x	@	-inf	(* (+ (* x -4/9) (/ -8/3 x)) (* x (* x -1/4)))
0.0ms	x	@	inf	(* (+ (* x -4/9) (/ -8/3 x)) (* x (* x -1/4)))

rewrite383.0ms (3.7%)

Memory

6.7MiB live, 715.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 976×	`lower-fma.f32`
6 970×	`lower-fma.f64`
5 610×	`lower-*.f32`
5 588×	`lower-*.f64`
3 950×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	115
0	56	110
1	167	107
2	1022	104
0	8895	103

Stop Event

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

Counts

20 → 650

Calls

Call 1

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

Outputs
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))))
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(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) #s(literal -1/512 binary64) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 x) #s(literal 1/4 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 x) #s(literal 1/4 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/16 binary64))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/4 binary64)) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 x) #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 x) #s(literal 1/4 binary64))))))
(.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 x) #s(literal 1/4 binary64)))))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64)))))
(*.f64 x #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (sin.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)))

simplify672.0ms (6.4%)

Memory

-0.4MiB live, 609.5MiB allocated

Algorithm

1×	egg-herbie

Rules

17 392×	`lower-fma.f64`
17 392×	`lower-fma.f32`
5 508×	`lower-*.f64`
5 508×	`lower-*.f32`
3 758×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	1562
1	545	1562
2	1384	1562
3	3162	1544
4	5140	1544
5	6991	1544
0	8142	1441

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 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))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 3))
(* 1/18 (pow x 3))
(* 1/18 (pow x 3))
(* 1/18 (pow x 3))
(* 1/18 (pow x 3))
(* 1/18 (pow x 3))
(* 1/18 (pow x 3))
(* 1/18 (pow x 3))
(* 1/18 (pow x 3))
(* 1/18 (pow x 3))
(* 1/18 (pow x 3))
(* 1/18 (pow x 3))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2/3 x)
(* x (+ 2/3 (* 1/9 (pow x 2))))
(* x (+ 2/3 (* 1/9 (pow x 2))))
(* x (+ 2/3 (* 1/9 (pow x 2))))
(* 1/9 (pow x 3))
(* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))
(* 1/9 (pow x 3))
(* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))
(/ -8/3 x)
(/ (- (* -4/9 (pow x 2)) 8/3) x)
(/ (- (* -4/9 (pow x 2)) 8/3) x)
(/ (- (* -4/9 (pow x 2)) 8/3) x)
(* -4/9 x)
(* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))
(* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))
(* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))
(* -4/9 x)
(* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))
(* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))
(* -1 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(/ -8/3 x)
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 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 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 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))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin 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))))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(/ 1 x)
(/ (+ 1 (* 1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
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(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 17/30240 binary64)) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(/ 8/3 x)
(/.f64 #s(literal 8/3 binary64) x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 7/135 binary64) #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 31/5670 binary64)) #s(literal 7/135 binary64)) #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x)
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/1440 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/80640 binary64)) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/6 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))

eval128.0ms (1.2%)

Memory: -14.5MiB live, 279.0MiB allocated
Compiler: Compiled 17 449 to 2 009 computations (88.5% saved)

prune139.0ms (1.3%)

Memory

21.7MiB live, 298.3MiB allocated

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	894	11	905
Fresh	6	9	15
Picked	4	1	5
Done	3	4	7
Total	907	25	932

Accuracy

100.0%

Counts

932 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.8%	(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
	54.9%	(/.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))
	54.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
	54.7%	(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓	79.2%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	28.8%	(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) #s(literal 2/3 binary64))) (sin.f64 x))
	99.4%	(/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
	48.3%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
	99.4%	(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
	54.8%	(*.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
	4.1%	(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))))
	99.2%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
✓	99.5%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
	54.9%	(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	28.0%	(.f64 (/.f64 #s(literal -8/3 binary64) x) (.f64 x (*.f64 x #s(literal -1/4 binary64))))
	54.8%	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal 3/8 binary64))))
	54.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 4/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	48.1%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
	48.0%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/135 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
✓	48.1%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))
	99.4%	(.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))))
	48.1%	(.f64 #s(literal 4/3 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
✓	99.4%	(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
✓	48.2%	(*.f64 #s(literal 2/3 binary64) x)

Compiler

Compiled 1 140 to 435 computations (61.8% saved)

regimes51.0ms (0.5%)

Memory

-28.4MiB live, 91.7MiB allocated

Counts

70 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2/3 binary64) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))
(.f64 #s(literal 4/3 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 2/3 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/18 binary64))))
(.f64 (/.f64 #s(literal -8/3 binary64) x) (.f64 x (*.f64 x #s(literal -1/4 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/135 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (.f64 x (*.f64 x #s(literal -1/4 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(/.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) (sin.f64 x))
(/.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 (fma.f64 #s(literal 1 binary64) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) x))
(.f64 (.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (.f64 x (.f64 x #s(literal -1/4 binary64))))
(.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 4/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 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 -8/3 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.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))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x))
(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) (sin.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal -8/3 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x))
(/.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (.f64 (/.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(-.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (-.f64 #s(literal 4/3 binary64) (.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))) (/.f64 (pow.f64 (/.f64 (.f64 (cos.f64 x) #s(literal -4/3 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 4/3 binary64) (.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))))

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

Calls

2 calls:

22.0ms	(/.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))
19.0ms	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 19 to 12 computations (36.8% saved)

regimes70.0ms (0.7%)

Memory

19.8MiB live, 57.5MiB allocated

Counts

59 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2/3 binary64) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))
(.f64 #s(literal 4/3 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 2/3 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/18 binary64))))
(.f64 (/.f64 #s(literal -8/3 binary64) x) (.f64 x (*.f64 x #s(literal -1/4 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/135 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (.f64 x (*.f64 x #s(literal -1/4 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(/.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) (sin.f64 x))
(/.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 (fma.f64 #s(literal 1 binary64) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) x))
(.f64 (.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (.f64 x (.f64 x #s(literal -1/4 binary64))))
(.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 4/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(/.f64 (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 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 -8/3 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.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))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x))
(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) (sin.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal -8/3 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))

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

Calls

2 calls:

52.0ms	x
16.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes9.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2/3 binary64) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))
(.f64 #s(literal 4/3 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 2/3 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/18 binary64))))
(.f64 (/.f64 #s(literal -8/3 binary64) x) (.f64 x (*.f64 x #s(literal -1/4 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/135 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (.f64 x (*.f64 x #s(literal -1/4 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))

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

Calls

2 calls:

4.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
4.0ms	x

Results

Accuracy	Segments	Branch
48.3%	1	`x`
48.3%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes26.0ms (0.3%)

Memory

-25.3MiB live, 12.1MiB allocated

Accuracy

Total -29.0b remaining (-87.5%)

Threshold costs -29b (-87.5%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2/3 binary64) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))
(.f64 #s(literal 4/3 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 2/3 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/18 binary64))))
(.f64 (/.f64 #s(literal -8/3 binary64) x) (.f64 x (*.f64 x #s(literal -1/4 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/135 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (fma.f64 x #s(literal -4/9 binary64) (/.f64 #s(literal -8/3 binary64) x)) (.f64 x (*.f64 x #s(literal -1/4 binary64))))

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

Calls

2 calls:

22.0ms	(/.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))
4.0ms	x

Results

Accuracy	Segments	Branch
48.2%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
48.2%	1	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify6.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	33
1	29	33

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (10.3%)

Memory

-2.9MiB live, 634.3MiB allocated

Rules

17 762×	`lower-fma.f64`
17 762×	`lower-fma.f32`
16 762×	`lower-fma.f64`
16 762×	`lower-fma.f32`
15 164×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	36
0	19	36
1	34	30
2	115	30
3	628	26
0	4915	26
0	34	136
0	60	135
1	214	135
2	1475	132
0	8473	130
0	89	432
1	250	432
2	592	432
3	1382	432
4	2625	432
5	3633	432
6	4315	432
7	5080	432
8	6196	432
0	8074	408
0	226	1572
1	584	1572
2	1450	1540
3	3297	1538
4	5472	1534
5	6123	1534
0	8226	1412
0	311	1994
1	840	1988
2	2183	1988
3	3927	1928
4	7014	1928
0	8107	1773

Stop Event

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

Compiler

Compiled 75 to 47 computations (37.3% saved)

preprocess159.0ms (1.5%)

Memory: 17.3MiB live, 192.6MiB allocated
Remove: (negabs x)
Compiler: Compiled 226 to 138 computations (38.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	29	163
0	51	158
1	88	158
2	163	158
3	283	156
4	386	156
5	509	156
6	571	156
7	623	156
8	698	156
9	733	156
10	749	156
11	759	156
12	775	156
13	821	156
0	821	153

Iter	Nodes	Cost
0	29	163
0	51	158
1	88	158
2	163	158
3	283	156
4	386	156
5	509	156
6	571	156
7	623	156
8	698	156
9	733	156
10	749	156
11	759	156
12	775	156
13	821	156
0	821	153

analyze230.0ms (2.2%)

sample1.4s (13.4%)

preprocess73.0ms (0.7%)

explain318.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize42.0ms (0.4%)

series5.0ms (0.1%)

rewrite181.0ms (1.7%)

simplify904.0ms (8.6%)

eval77.0ms (0.7%)

prune379.0ms (3.6%)

simplify84.0ms (0.8%)

localize358.0ms (3.4%)

series14.0ms (0.1%)

rewrite339.0ms (3.2%)

simplify473.0ms (4.5%)

eval197.0ms (1.9%)

prune157.0ms (1.5%)

simplify382.0ms (3.6%)

localize287.0ms (2.7%)

series18.0ms (0.2%)

rewrite387.0ms (3.7%)

simplify465.0ms (4.4%)

eval233.0ms (2.2%)

prune280.0ms (2.7%)

simplify226.0ms (2.2%)

localize231.0ms (2.2%)

series12.0ms (0.1%)

rewrite383.0ms (3.7%)

simplify672.0ms (6.4%)

eval128.0ms (1.2%)

prune139.0ms (1.3%)

regimes51.0ms (0.5%)

regimes70.0ms (0.7%)

regimes9.0ms (0.1%)

regimes26.0ms (0.3%)

simplify6.0ms (0.1%)

soundness1.1s (10.3%)

preprocess159.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	29	163
0	51	158
1	88	158
2	163	158
3	283	156
4	386	156
5	509	156
6	571	156
7	623	156
8	698	156
9	733	156
10	749	156
11	759	156
12	775	156
13	821	156
0	821	153