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

analyze205.0ms (2.1%)

Memory

-6.2MiB live, 321.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample1.4s (14%)

Memory

-73.5MiB live, 2 000.5MiB allocated

Samples

940.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 724.0ms

ival-sin: 402.0ms (55.6% of total)

ival-div: 158.0ms (21.8% of total)

ival-mult: 144.0ms (19.9% of total)

exact: 11.0ms (1.5% of total)

ival-true: 6.0ms (0.8% of total)

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

Bogosity

preprocess58.0ms (0.6%)

Memory

17.8MiB live, 66.2MiB 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)

explain377.0ms (3.8%)

Memory

-28.6MiB live, 308.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
71	0	-	3	(4.199685478860859e-156)	`(/.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	124	(2.0238117911659116e+235)	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	124	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	68	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	68

Confusion

	Predicted +	Predicted -
+	68	3
-	124	61

Precision

0.3541666666666667

Recall

0.9577464788732394

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	68	0	3
-	124	0	61

Precision?

0.3541666666666667

Recall?

0.9577464788732394

Freqs

test

number	freq
0	64
1	192

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms

512×

valid

Compiler

Compiled 144 to 48 computations (66.7% saved)

Precisions

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

ival-sin: 22.0ms (54.4% of total)

ival-mult: 10.0ms (24.7% of total)

ival-div: 7.0ms (17.3% of total)

exact: 1.0ms (2.5% 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

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify6.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB 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)

localize44.0ms (0.5%)

Memory

3.6MiB live, 81.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 x)
✓	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	99.4%	(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
✓	accuracy	74.6%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Samples

29.0ms

256×

valid

Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sin: 13.0ms (61.9% of total)

ival-div: 4.0ms (19% of total)

ival-mult: 4.0ms (19% 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

10.3MiB live, 10.3MiB 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 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 (* 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 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)>

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)))

rewrite198.0ms (2%)

Memory

-9.3MiB live, 227.5MiB 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	34
0	19	34
1	34	28
2	115	28
3	628	24
0	4915	24

Stop Event

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

Counts

5 → 286

Calls

Call 1

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

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

simplify572.0ms (5.8%)

Memory

-19.8MiB live, 537.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18 506×	`lower-fma.f64`
18 506×	`lower-fma.f32`
4 370×	`lower-+.f64`
4 370×	`lower-+.f32`
3 662×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	414
1	252	414
2	600	408
3	1799	408
4	3352	408
5	4719	408
6	5032	408
7	5327	408
8	5949	408
9	7813	408
0	8080	384

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 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)))
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)

Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #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 #s(literal 8/3 binary64) (/.f64 (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 #s(literal 8/3 binary64) (/.f64 (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 #s(literal 8/3 binary64) (/.f64 (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 #s(literal 8/3 binary64) (/.f64 (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 #s(literal 8/3 binary64) (/.f64 (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 #s(literal 8/3 binary64) (/.f64 (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 #s(literal 8/3 binary64) (/.f64 (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 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 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 x (.f64 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 x (.f64 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 x (.f64 x (fma.f64 (.f64 x 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 (.f64 x 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 (.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))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 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))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(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)

eval42.0ms (0.4%)

Memory: 24.5MiB live, 61.9MiB allocated
Compiler: Compiled 5 242 to 750 computations (85.7% saved)

prune116.0ms (1.2%)

Memory

4.1MiB live, 122.1MiB allocated

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	304	29	333
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	305	29	334

Accuracy

100.0%

Counts

334 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.1%	(/.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)))
▶	52.1%	(/.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))
	52.0%	(/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x))
	52.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
	52.1%	(/.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))))
	52.0%	(/.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))
	52.1%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
	27.1%	(/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
	25.7%	(/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x 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)))) (sin.f64 x))
▶	74.3%	(/.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))
	27.2%	(/.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) (sin.f64 x))
	99.4%	(/.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))))
	52.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
	52.0%	(*.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)))
▶	52.1%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
	49.2%	(.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)))
	52.0%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
	99.2%	(.f64 (/.f64 #s(literal -1 binary64) (/.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)))
	52.1%	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal 3/8 binary64))))
	52.0%	(.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))))
	99.2%	(.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)))
	51.5%	(.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)))
	51.5%	(.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)))
	51.5%	(.f64 x (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)))
	74.3%	(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
▶	51.9%	(*.f64 #s(literal 2/3 binary64) x)
	52.0%	(.f64 #s(literal -8/3 binary64) (pow.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))) #s(literal -1 binary64)))

Compiler

Compiled 772 to 560 computations (27.5% saved)

simplify360.0ms (3.7%)

Memory

-14.0MiB live, 145.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
✓	cost-diff	0	(/.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))
✓	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	704	(/.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))
✓	cost-diff	6464	(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
✓	cost-diff	6592	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
✓	cost-diff	0	(*.f64 #s(literal 2/3 binary64) x)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
✓	cost-diff	960	(.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)))

Rules

3 208×	`lower-fma.f32`
3 206×	`lower-fma.f64`
1 496×	`lower-*.f32`
1 484×	`lower-*.f64`
1 276×	`distribute-lft-in`

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	28	140
0	48	133
1	77	127
2	105	127
3	149	127
4	213	127
5	321	127
6	584	127
7	956	127
8	1154	127
9	1521	127
10	1886	127
11	2489	125
12	2835	125
13	3511	125
14	4183	125
15	4557	125
16	5008	125
17	5662	125
18	5943	125
19	6469	125
0	8148	125

Stop Event

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

Calls

Call 1

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

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

localize419.0ms (4.2%)

Memory

-37.1MiB live, 150.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.6%	(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓	accuracy	99.5%	(.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
✓	accuracy	74.6%	(/.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))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(/.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))
✓	accuracy	77.8%	(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	74.6%	(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.5%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
✓	accuracy	77.8%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	74.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
✓	accuracy	99.5%	(*.f64 #s(literal 2/3 binary64) x)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.8%	(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
✓	accuracy	99.8%	(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
✓	accuracy	99.7%	(.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

232.0ms	128×	0	valid
104.0ms	111×	2	valid
15.0ms	14×	4	valid
1.0ms	3×	1	valid

Compiler

Compiled 145 to 31 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 323.0ms

ival-div: 206.0ms (63.7% of total)

ival-cos: 51.0ms (15.8% of total)

ival-mult: 19.0ms (5.9% of total)

ival-sin: 19.0ms (5.9% of total)

const: 9.0ms (2.8% of total)

adjust: 8.0ms (2.5% of total)

ival-pow2: 5.0ms (1.5% of total)

ival-sub: 3.0ms (0.9% of total)

ival-add: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series12.0ms (0.1%)

Memory

11.9MiB live, 11.8MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#<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 1/2 binary64) x)>
#<alt (*.f64 #s(literal 2/3 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))>
#<alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.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)) (sin.f64 x))>
#<alt (/.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))>
#<alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))>
#<alt (/.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))>
#<alt (.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))>
#<alt (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))>
#<alt (sin.f64 (*.f64 x #s(literal 1/2 binary64)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))>
#<alt (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 (* 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 (* 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 (* 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 (* 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 (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (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 (* 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 (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/48 (pow x 2))))>
#<alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))>
#<alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (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 (* -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 (* 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 (* 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 (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<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 (* 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 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)>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (- 1 (cos x)) (sin x))
1.0ms	x	@	inf	(/ (+ (* (cos x) -1/2) 1/2) (sin x))
1.0ms	x	@	-inf	(/ (+ (* (cos x) -1/2) 1/2) (sin x))
0.0ms	x	@	-inf	(/ (- 1 (cos x)) (sin x))
0.0ms	x	@	inf	(/ (sin (* 1/2 x)) (sin x))

rewrite503.0ms (5.1%)

Memory

14.0MiB live, 288.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 082×	`lower-*.f32`
4 070×	`lower-*.f64`
3 442×	`lower-/.f32`
3 430×	`lower-/.f64`
2 472×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	113
0	48	104
1	148	104
2	788	104
3	6765	104
0	8164	104

Stop Event

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

Counts

18 → 994

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

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

simplify576.0ms (5.8%)

Memory

9.6MiB live, 756.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 442×	`lower-fma.f64`
15 442×	`lower-fma.f32`
5 710×	`lower-+.f64`
5 710×	`lower-+.f32`
4 724×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	1662
1	636	1662
2	1589	1656
3	2950	1656
4	5209	1656
5	5502	1656
6	5922	1656
7	6871	1656
0	8029	1536

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 215

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
(+ 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))
(* 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)
(* 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)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (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)))
(* 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)
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (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 (* -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)))
(* 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))
(* 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))))
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(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))
(* 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)))
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)

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 (.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)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/16 (pow x 2)))
(fma.f64 (*.f64 x 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 (.f64 x x) (fma.f64 x (.f64 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 x (.f64 x (fma.f64 (*.f64 x 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 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 (.f64 x x) (fma.f64 (.f64 x 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)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(* 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 (.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
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(.f64 x (.f64 x #s(literal 1/2 binary64)))
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(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))
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(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))
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1
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(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(* 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)))
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(.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)))
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(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x))
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(/.f64 (*.f64 #s(literal 8/3 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x))
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(.f64 (.f64 x x) #s(literal 1/4 binary64))
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(.f64 x (.f64 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)))
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(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
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(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
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(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
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(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))
(* 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 (.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 #s(literal 2/3 binary64) (.f64 x x))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(.f64 (.f64 x 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 x (.f64 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)))
(* 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 x (.f64 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 x (.f64 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)))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 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 (.f64 x x) (fma.f64 (.f64 x 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)))
(* 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 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 (.f64 x 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))))
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 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) 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)

eval169.0ms (1.7%)

Memory: -13.1MiB live, 462.9MiB allocated
Compiler: Compiled 23 373 to 2 910 computations (87.5% saved)

prune152.0ms (1.5%)

Memory

2.8MiB live, 481.1MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	1 328	17	1 345
Fresh	19	5	24
Picked	4	1	5
Done	0	0	0
Total	1 351	23	1 374

Accuracy

100.0%

Counts

1 374 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.1%	(/.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)))
	52.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
	52.0%	(/.f64 (+.f64 #s(literal -4/3 binary64) (*.f64 (cos.f64 x) #s(literal 4/3 binary64))) (neg.f64 (sin.f64 x)))
	52.1%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
	99.3%	(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
▶	51.7%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
	52.1%	(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
	99.4%	(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))))
	52.0%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 4/3 binary64))
▶	99.2%	(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
	52.0%	(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
	52.1%	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal 3/8 binary64))))
▶	52.0%	(.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 4/3 binary64)))
	52.0%	(.f64 (+.f64 #s(literal -4/3 binary64) (.f64 (cos.f64 x) #s(literal 4/3 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
	51.6%	(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
▶	99.5%	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
	51.5%	(.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)))
	51.5%	(.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)))
▶	51.5%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
✓	51.9%	(*.f64 #s(literal 2/3 binary64) x)
	72.8%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 520 to 393 computations (24.4% saved)

simplify300.0ms (3%)

Memory

28.1MiB live, 443.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(+.f64 (cos.f64 x) #s(literal -1 binary64))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 4/3 binary64))
✓	cost-diff	6976	(.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 4/3 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	128	(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
✓	cost-diff	6848	(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
✓	cost-diff	704	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 1/18 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))

Rules

6 806×	`lower-fma.f32`
6 798×	`lower-fma.f64`
1 878×	`lower-*.f32`
1 858×	`lower-*.f64`
1 366×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	183
0	60	170
1	123	170
2	255	170
3	541	170
4	1115	170
5	1893	170
6	2512	170
7	3364	170
8	5122	170
9	5537	170
10	5763	170
11	5838	170
12	5875	170
13	5899	170
14	6359	170
15	6562	170
16	6599	170
17	6599	170
18	6683	170
19	6723	170
20	6889	170
21	6889	170
0	6889	168

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 4/3 binary64)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(*.f64 x #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
x
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(*.f64 x x)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64))
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))
(fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))
#s(literal 17/80640 binary64)
#s(literal 1/480 binary64)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(literal 3/8 binary64)
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(sin.f64 x)
x
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
#s(literal 4/3 binary64)
(.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 4/3 binary64)))
(+.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
x
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 #s(literal -1 binary64) (sin.f64 x))
(sin.f64 x)
#s(literal 4/3 binary64)

Outputs
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 4/3 binary64)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(.f64 x (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
(.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)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/80640 binary64)) #s(literal 1/480 binary64))) #s(literal 1/48 binary64))) #s(literal 1/4 binary64)))
x
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 17/80640 binary64)) #s(literal 1/480 binary64))) #s(literal 1/48 binary64))) #s(literal 1/4 binary64))
(*.f64 x x)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/80640 binary64)) #s(literal 1/480 binary64))) #s(literal 1/48 binary64))
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal 17/80640 binary64)) #s(literal 1/480 binary64)))
(fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))
(fma.f64 x (*.f64 x #s(literal 17/80640 binary64)) #s(literal 1/480 binary64))
#s(literal 17/80640 binary64)
#s(literal 1/480 binary64)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(literal 3/8 binary64)
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
(.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 x #s(literal -1/2 binary64))))
(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(neg.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(sin.f64 x)
x
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
#s(literal 4/3 binary64)
(.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 4/3 binary64)))
(.f64 #s(literal -4/3 binary64) (tan.f64 (.f64 x #s(literal -1/2 binary64))))
(+.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
x
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 #s(literal -4/3 binary64) (sin.f64 x))
(/.f64 #s(literal -1 binary64) (sin.f64 x))
(sin.f64 x)
#s(literal 4/3 binary64)

localize224.0ms (2.3%)

Memory

-14.6MiB live, 561.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal -1 binary64) (sin.f64 x))
✓	accuracy	99.4%	(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 4/3 binary64))
✓	accuracy	77.8%	(+.f64 (cos.f64 x) #s(literal -1 binary64))
✓	accuracy	74.5%	(.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 4/3 binary64)))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	accuracy	99.6%	(+.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	99.5%	(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
✓	accuracy	100.0%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64))
✓	accuracy	100.0%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))
✓	accuracy	99.8%	(.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
✓	accuracy	99.7%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
✓	accuracy	99.4%	(*.f64 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	99.5%	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))

Samples

67.0ms	75×	2	valid
49.0ms	128×	0	valid
22.0ms	39×	1	valid
13.0ms	14×	3	valid

Compiler

Compiled 200 to 40 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 29.0ms (23.9% of total)

ival-cos: 24.0ms (19.8% of total)

const: 22.0ms (18.1% of total)

adjust: 12.0ms (9.9% of total)

ival-div: 11.0ms (9.1% of total)

ival-add: 11.0ms (9.1% of total)

ival-tan: 7.0ms (5.8% of total)

ival-sin: 5.0ms (4.1% of total)

exact: 1.0ms (0.8% of total)

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

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

series21.0ms (0.2%)

Memory

10.9MiB live, 49.0MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))>
#<alt (tan.f64 (*.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))>
#<alt (*.f64 x #s(literal 1/18 binary64))>
#<alt (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) #s(literal 3/8 binary64))>
#<alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))>
#<alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))>
#<alt (sin.f64 x)>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 4/3 binary64)))>
#<alt (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 4/3 binary64))>
#<alt (+.f64 (cos.f64 x) #s(literal -1 binary64))>
#<alt (cos.f64 x)>
#<alt (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))>
#<alt (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 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 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 (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 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 (* 17/30240 (pow x 7))>
#<alt (* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))>
#<alt (* 17/30240 (pow x 7))>
#<alt (* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/48 (pow x 2))))>
#<alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))>
#<alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))>
#<alt (* 17/80640 (pow x 7))>
#<alt (* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))>
#<alt (* 17/80640 (pow x 7))>
#<alt (* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))))>
#<alt 1/4>
#<alt (+ 1/4 (* 1/48 (pow x 2)))>
#<alt (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))>
#<alt (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))>
#<alt (* 17/80640 (pow x 6))>
#<alt (* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))>
#<alt (* 17/80640 (pow x 6))>
#<alt (* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))>
#<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 (* 1/2 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 x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (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 (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos 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 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<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 (* 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 (/ (- (cos x) 1) (sin x)))>
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))>
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))>
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))>
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))>
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))>
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))>
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))>
#<alt (/ -4/3 x)>
#<alt (/ (- (* -2/9 (pow x 2)) 4/3) x)>
#<alt (/ (- (* (pow x 2) (- (* -7/270 (pow x 2)) 2/9)) 4/3) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/11340 (pow x 2)) 7/270)) 2/9)) 4/3) x)>
#<alt (/ -4/3 (sin x))>
#<alt (/ -4/3 (sin x))>
#<alt (/ -4/3 (sin x))>
#<alt (/ -4/3 (sin x))>
#<alt (/ -4/3 (sin x))>
#<alt (/ -4/3 (sin x))>
#<alt (/ -4/3 (sin x))>
#<alt (/ -4/3 (sin x))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<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 (* 1/480 x)>
#<alt (* x (+ 1/480 (* 17/80640 (pow x 2))))>
#<alt (* x (+ 1/480 (* 17/80640 (pow x 2))))>
#<alt (* x (+ 1/480 (* 17/80640 (pow x 2))))>
#<alt (* 17/80640 (pow x 3))>
#<alt (* (pow x 3) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* 17/80640 (pow x 3))>
#<alt (* (pow x 3) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))>
#<alt 1/480>
#<alt (+ 1/480 (* 17/80640 (pow x 2)))>
#<alt (+ 1/480 (* 17/80640 (pow x 2)))>
#<alt (+ 1/480 (* 17/80640 (pow x 2)))>
#<alt (* 17/80640 (pow x 2))>
#<alt (* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* 17/80640 (pow x 2))>
#<alt (* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))>
#<alt 1/48>
#<alt (+ 1/48 (* 1/480 (pow x 2)))>
#<alt (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))>
#<alt (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))>
#<alt (* 17/80640 (pow x 4))>
#<alt (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* 17/80640 (pow x 4))>
#<alt (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))>
#<alt (/ -1 x)>
#<alt (/ (- (* -1/6 (pow x 2)) 1) x)>
#<alt (/ (- (* (pow x 2) (- (* -7/360 (pow x 2)) 1/6)) 1) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/15120 (pow x 2)) 7/360)) 1/6)) 1) 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

66 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* (/ -1 (sin x)) 4/3)
3.0ms	x	@	-inf	(* x (+ (* x (* x 1/18)) 2/3))
1.0ms	x	@	-inf	(* (+ (cos x) -1) (* (/ -1 (sin x)) 4/3))
1.0ms	x	@	inf	(* (tan (* x 1/2)) 4/3)
1.0ms	x	@	inf	(* (+ (cos x) -1) (* (/ -1 (sin x)) 4/3))

rewrite402.0ms (4.1%)

Memory

-3.2MiB live, 441.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 418×	`lower-/.f32`
4 412×	`lower-/.f64`
4 240×	`lower-*.f32`
4 222×	`lower-*.f64`
2 952×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	161
0	60	151
1	228	151
2	1454	151
0	8246	151

Stop Event

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

Counts

22 → 732

Calls

Call 1

Inputs
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(.f64 x (fma.f64 x (.f64 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 #s(literal 1/18 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(*.f64 x x)
(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
(sin.f64 x)
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 4/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 4/3 binary64))
(+.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))
(fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 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 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x)))))
(/.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 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 4/3 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))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -4/3 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x))) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 4/3 binary64)) (-.f64 #s(literal -1 binary64) (cos.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 (.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))))
(/.f64 (.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))))
(/.f64 (.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 4/3 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 4/3 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
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(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))))) #s(literal 1/110592 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))) #s(literal 1/2304 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) #s(literal 1/48 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))))) #s(literal 1/110592 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2304 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))))) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) #s(literal 1/48 binary64)))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))) #s(literal -1/2304 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) #s(literal -1/48 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))))) #s(literal 1/110592 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))) #s(literal 1/2304 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) #s(literal 1/48 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))) #s(literal -1/2304 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) #s(literal -1/48 binary64)))))
(.f64 (-.f64 #s(literal 1/2304 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))))))
(exp.f64 (*.f64 (log.f64 (neg.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)))
(/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (sin.f64 x))
(pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.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 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1/2 binary64)))

simplify445.0ms (4.5%)

Memory

4.1MiB live, 633.4MiB allocated

Algorithm

1×	egg-herbie

Rules

17 146×	`lower-fma.f64`
17 146×	`lower-fma.f32`
5 308×	`lower-*.f64`
5 308×	`lower-*.f32`
3 512×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	244	2048
1	710	2042
2	1823	2036
3	5389	2014
0	8306	1879

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))))))))
(* 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)))))
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)))))
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 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))))))))
(* 17/30240 (pow x 7))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 7))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(* 17/80640 (pow x 7))
(* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* 17/80640 (pow x 7))
(* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))))
1/4
(+ 1/4 (* 1/48 (pow x 2)))
(+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))
(+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))
(* 17/80640 (pow x 6))
(* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* 17/80640 (pow x 6))
(* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(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)
(* 1/2 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 x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (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))))))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos 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)
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (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))))))))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(/ -4/3 x)
(/ (- (* -2/9 (pow x 2)) 4/3) x)
(/ (- (* (pow x 2) (- (* -7/270 (pow x 2)) 2/9)) 4/3) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/11340 (pow x 2)) 7/270)) 2/9)) 4/3) x)
(/ -4/3 (sin x))
(/ -4/3 (sin x))
(/ -4/3 (sin x))
(/ -4/3 (sin x))
(/ -4/3 (sin x))
(/ -4/3 (sin x))
(/ -4/3 (sin x))
(/ -4/3 (sin x))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(- (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 (* -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)
(* 1/480 x)
(* x (+ 1/480 (* 17/80640 (pow x 2))))
(* x (+ 1/480 (* 17/80640 (pow x 2))))
(* x (+ 1/480 (* 17/80640 (pow x 2))))
(* 17/80640 (pow x 3))
(* (pow x 3) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* 17/80640 (pow x 3))
(* (pow x 3) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
1/480
(+ 1/480 (* 17/80640 (pow x 2)))
(+ 1/480 (* 17/80640 (pow x 2)))
(+ 1/480 (* 17/80640 (pow x 2)))
(* 17/80640 (pow x 2))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* 17/80640 (pow x 2))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
1/48
(+ 1/48 (* 1/480 (pow x 2)))
(+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))
(+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))
(* 17/80640 (pow x 4))
(* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* 17/80640 (pow x 4))
(* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(/ -1 x)
(/ (- (* -1/6 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (- (* -7/360 (pow x 2)) 1/6)) 1) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/15120 (pow x 2)) 7/360)) 1/6)) 1) 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)))
(* 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 x (.f64 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)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
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(* -4/3 (/ (- (cos x) 1) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(/ -4/3 x)
(/.f64 #s(literal -4/3 binary64) x)
(/ (- (* -2/9 (pow x 2)) 4/3) x)
(fma.f64 x #s(literal -2/9 binary64) (/.f64 #s(literal -4/3 binary64) x))
(/ (- (* (pow x 2) (- (* -7/270 (pow x 2)) 2/9)) 4/3) x)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -7/270 binary64)) #s(literal -2/9 binary64)) (/.f64 #s(literal -4/3 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/11340 (pow x 2)) 7/270)) 2/9)) 4/3) x)
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -31/11340 binary64)) #s(literal -7/270 binary64)) #s(literal -2/9 binary64)) (/.f64 #s(literal -4/3 binary64) x))
(/ -4/3 (sin x))
(/.f64 #s(literal -4/3 binary64) (sin.f64 x))
(/ -4/3 (sin x))
(/.f64 #s(literal -4/3 binary64) (sin.f64 x))
(/ -4/3 (sin x))
(/.f64 #s(literal -4/3 binary64) (sin.f64 x))
(/ -4/3 (sin x))
(/.f64 #s(literal -4/3 binary64) (sin.f64 x))
(/ -4/3 (sin x))
(/.f64 #s(literal -4/3 binary64) (sin.f64 x))
(/ -4/3 (sin x))
(/.f64 #s(literal -4/3 binary64) (sin.f64 x))
(/ -4/3 (sin x))
(/.f64 #s(literal -4/3 binary64) (sin.f64 x))
(/ -4/3 (sin x))
(/.f64 #s(literal -4/3 binary64) (sin.f64 x))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 x (.f64 x (fma.f64 (.f64 x 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))))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* 1/480 x)
(*.f64 x #s(literal 1/480 binary64))
(* x (+ 1/480 (* 17/80640 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))
(* x (+ 1/480 (* 17/80640 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))
(* x (+ 1/480 (* 17/80640 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))
(* 17/80640 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 17/80640 binary64))
(* (pow x 3) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))
(* (pow x 3) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))
(* (pow x 3) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))
(* 17/80640 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 17/80640 binary64))
(* (pow x 3) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))
(* (pow x 3) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))
(* (pow x 3) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)))
1/480
#s(literal 1/480 binary64)
(+ 1/480 (* 17/80640 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))
(+ 1/480 (* 17/80640 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))
(+ 1/480 (* 17/80640 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))
(* 17/80640 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/80640 binary64))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))
(* 17/80640 (pow x 2))
(.f64 (.f64 x x) #s(literal 17/80640 binary64))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))
1/48
#s(literal 1/48 binary64)
(+ 1/48 (* 1/480 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/480 binary64) #s(literal 1/48 binary64))
(+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) #s(literal 1/48 binary64))
(+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) #s(literal 1/48 binary64))
(* 17/80640 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 17/80640 binary64))
(* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))))
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 17/80640 binary64) (+.f64 (/.f64 #s(literal 1/480 binary64) (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 17/80640 binary64) (+.f64 (/.f64 #s(literal 1/480 binary64) (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* 17/80640 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 17/80640 binary64))
(* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))))
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 17/80640 binary64) (+.f64 (/.f64 #s(literal 1/480 binary64) (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 17/80640 binary64) (+.f64 (/.f64 #s(literal 1/480 binary64) (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1/6 (pow x 2)) 1) x)
(fma.f64 x #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (- (* -7/360 (pow x 2)) 1/6)) 1) x)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -7/360 binary64)) #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/15120 (pow x 2)) 7/360)) 1/6)) 1) x)
(fma.f64 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)) (/.f64 #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))

eval140.0ms (1.4%)

Memory: -1.5MiB live, 275.3MiB allocated
Compiler: Compiled 27 601 to 2 836 computations (89.7% saved)

prune103.0ms (1%)

Memory

19.9MiB live, 255.5MiB allocated

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	1 039	8	1 047
Fresh	7	10	17
Picked	2	3	5
Done	0	1	1
Total	1 048	22	1 070

Accuracy

100.0%

Counts

1 070 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.1%	(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
	52.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
	52.1%	(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))
	99.3%	(/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
✓	51.7%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
▶	52.1%	(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 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 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4/3 binary64)))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))))
	52.0%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 4/3 binary64))
	52.0%	(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
▶	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64))
▶	52.0%	(.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal 4/3 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
	52.1%	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal 3/8 binary64))))
	51.6%	(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
✓	99.5%	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
▶	99.2%	(*.f64 (sin.f64 x) (/.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
	51.5%	(.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)))
	51.5%	(.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)))
✓	51.5%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
✓	51.9%	(*.f64 #s(literal 2/3 binary64) x)
	72.8%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 455 to 344 computations (24.4% saved)

simplify93.0ms (0.9%)

Memory

-0.2MiB live, 76.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (sin.f64 x))
✓	cost-diff	128	(*.f64 #s(literal 4/3 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	cost-diff	7168	(.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal 4/3 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	6976	(*.f64 (sin.f64 x) (/.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	1088	(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	0	(*.f64 x #s(literal 1/4 binary64))
✓	cost-diff	704	(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
✓	cost-diff	0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))

Rules

732×	`lower-fma.f64`
732×	`lower-fma.f32`
540×	`lower-*.f32`
528×	`lower-*.f64`
348×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	129
0	41	115
1	75	115
2	131	115
3	196	109
4	279	109
5	470	109
6	856	109
7	1553	109
8	2102	109
9	2423	109
10	2587	109
11	2612	109
12	2634	109
13	2664	109
14	2669	109
15	2670	109
0	2670	108

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize201.0ms (2%)

Memory

35.8MiB live, 291.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal -1 binary64) (sin.f64 x))
✓	accuracy	99.6%	(*.f64 #s(literal 4/3 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	accuracy	77.8%	(+.f64 (cos.f64 x) #s(literal -1 binary64))
✓	accuracy	74.5%	(.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 #s(literal 4/3 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.7%	(/.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	accuracy	99.6%	(+.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	99.5%	(*.f64 (sin.f64 x) (/.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
✓	accuracy	99.4%	(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/4 binary64))
✓	accuracy	100.0%	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	99.5%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64))

Samples

57.0ms	39×	1	valid
55.0ms	75×	2	valid
36.0ms	128×	0	valid
10.0ms	14×	3	valid

Compiler

Compiled 131 to 26 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 67.0ms (50.7% of total)

ival-cos: 24.0ms (18.2% of total)

ival-div: 12.0ms (9.1% of total)

ival-sin: 8.0ms (6.1% of total)

adjust: 6.0ms (4.5% of total)

ival-tan: 6.0ms (4.5% of total)

ival-add: 5.0ms (3.8% of total)

const: 4.0ms (3% of total)

exact: 1.0ms (0.8% of total)

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

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

series24.0ms (0.2%)

Memory

-60.8MiB live, 16.8MiB allocated

Counts

17 → 204

Calls

Call 1

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

Outputs
#<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 (* 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 (/ 2 x)>
#<alt (/ (+ 2 (* -1/6 (pow x 2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) x)>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 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 (* 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 (* 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 (* 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 (* 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 (* (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 x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos 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 2/3>
#<alt (+ 2/3 (* 1/6 (pow x 2)))>
#<alt (+ 2/3 (* (pow x 2) (+ 1/6 (* 1/36 (pow x 2)))))>
#<alt (+ 2/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/36 (* 17/4320 (pow x 2)))))))>
#<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 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<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 (* 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 (/ (- (cos x) 1) (sin x)))>
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))>
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))>
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))>
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))>
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))>
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))>
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))>
#<alt (* -2/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/18 (pow x 2)) 2/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/540 (pow x 2)))) 2/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/30240 (pow x 2)) 1/540)))) 2/3))>
#<alt (* 4/3 (- (cos x) 1))>
#<alt (* 4/3 (- (cos x) 1))>
#<alt (* 4/3 (- (cos x) 1))>
#<alt (* 4/3 (- (cos x) 1))>
#<alt (* 4/3 (- (cos x) 1))>
#<alt (* 4/3 (- (cos x) 1))>
#<alt (* 4/3 (- (cos x) 1))>
#<alt (* 4/3 (- (cos x) 1))>
#<alt (/ -1 x)>
#<alt (/ (- (* -1/6 (pow x 2)) 1) x)>
#<alt (/ (- (* (pow x 2) (- (* -7/360 (pow x 2)) 1/6)) 1) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/15120 (pow x 2)) 7/360)) 1/6)) 1) 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 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 (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>

Calls

51 calls:

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

rewrite561.0ms (5.7%)

Memory

24.6MiB live, 340.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 454×	`lower-*.f32`
2 442×	`lower-*.f64`
2 310×	`lower-/.f32`
2 298×	`lower-/.f64`
1 528×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	95
0	41	83
1	139	81
2	648	81
0	5078	79

Stop Event

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

Counts

17 → 796

Calls

Call 1

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

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

simplify507.0ms (5.1%)

Memory

-16.6MiB live, 540.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 830×	`lower-fma.f64`
15 830×	`lower-fma.f32`
4 802×	`lower-*.f64`
4 802×	`lower-*.f32`
3 910×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	1506
1	445	1506
2	1108	1500
3	3335	1494
4	4407	1494
5	7303	1494
0	8238	1394

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 203

Calls

Call 1

Inputs
(* 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)))
(* 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))))
(/ 2 x)
(/ (+ 2 (* -1/6 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) 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)) (sin (* 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)))
(* 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)
(* 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)
(* 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)
(* 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 (* (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 x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos 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)
2/3
(+ 2/3 (* 1/6 (pow x 2)))
(+ 2/3 (* (pow x 2) (+ 1/6 (* 1/36 (pow x 2)))))
(+ 2/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/36 (* 17/4320 (pow x 2)))))))
(/ 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)))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (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))))))))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(* -2/3 (pow x 2))
(* (pow x 2) (- (* 1/18 (pow x 2)) 2/3))
(* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/540 (pow x 2)))) 2/3))
(* (pow x 2) (- (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/30240 (pow x 2)) 1/540)))) 2/3))
(* 4/3 (- (cos x) 1))
(* 4/3 (- (cos x) 1))
(* 4/3 (- (cos x) 1))
(* 4/3 (- (cos x) 1))
(* 4/3 (- (cos x) 1))
(* 4/3 (- (cos x) 1))
(* 4/3 (- (cos x) 1))
(* 4/3 (- (cos x) 1))
(/ -1 x)
(/ (- (* -1/6 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (- (* -7/360 (pow x 2)) 1/6)) 1) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/15120 (pow x 2)) 7/360)) 1/6)) 1) 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))
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)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
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(* -4/3 (/ (- (cos x) 1) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* -4/3 (/ (- (cos x) 1) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* -2/3 (pow x 2))
(.f64 x (.f64 x #s(literal -2/3 binary64)))
(* (pow x 2) (- (* 1/18 (pow x 2)) 2/3))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal -2/3 binary64)))
(* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/540 (pow x 2)))) 2/3))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/540 binary64)) #s(literal 1/18 binary64)) #s(literal -2/3 binary64)))
(* (pow x 2) (- (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/30240 (pow x 2)) 1/540)))) 2/3))
(.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)))
(* 4/3 (- (cos x) 1))
(fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64))
(* 4/3 (- (cos x) 1))
(fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64))
(* 4/3 (- (cos x) 1))
(fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64))
(* 4/3 (- (cos x) 1))
(fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64))
(* 4/3 (- (cos x) 1))
(fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64))
(* 4/3 (- (cos x) 1))
(fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64))
(* 4/3 (- (cos x) 1))
(fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64))
(* 4/3 (- (cos x) 1))
(fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1/6 (pow x 2)) 1) x)
(fma.f64 x #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (- (* -7/360 (pow x 2)) 1/6)) 1) x)
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/15120 (pow x 2)) 7/360)) 1/6)) 1) x)
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -31/15120 binary64)) #s(literal -7/360 binary64))) #s(literal -1/6 binary64)) (/.f64 #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))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/40320 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(- (cos x) 1)
(+.f64 (cos.f64 x) #s(literal -1 binary64))
(- (cos x) 1)
(+.f64 (cos.f64 x) #s(literal -1 binary64))
(- (cos x) 1)
(+.f64 (cos.f64 x) #s(literal -1 binary64))
(- (cos x) 1)
(+.f64 (cos.f64 x) #s(literal -1 binary64))
(- (cos x) 1)
(+.f64 (cos.f64 x) #s(literal -1 binary64))
(- (cos x) 1)
(+.f64 (cos.f64 x) #s(literal -1 binary64))
(- (cos x) 1)
(+.f64 (cos.f64 x) #s(literal -1 binary64))
(- (cos x) 1)
(+.f64 (cos.f64 x) #s(literal -1 binary64))

eval180.0ms (1.8%)

Memory: 33.7MiB live, 339.7MiB allocated
Compiler: Compiled 19 326 to 2 439 computations (87.4% saved)

prune198.0ms (2%)

Memory

-19.6MiB live, 350.5MiB allocated

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	1 142	14	1 156
Fresh	7	6	13
Picked	1	4	5
Done	1	3	4
Total	1 151	27	1 178

Accuracy

100.0%

Counts

1 178 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.1%	(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
	99.3%	(/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
✓	52.1%	(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
	99.8%	(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
	99.4%	(/.f64 (sin.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/4 binary64)))
	51.9%	(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x))
	51.9%	(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/15120 binary64) #s(literal -1/360 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x))
	51.9%	(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/360 binary64)) #s(literal -1/6 binary64))) #s(literal 2 binary64)) x))
	52.1%	(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x))
✓	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 4/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
	51.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
	52.1%	(*.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
	51.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/360 binary64)) #s(literal -1/6 binary64))) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64))
	52.0%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64))
	51.8%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 4/3 binary64))
✓	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64))
	52.1%	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal 3/8 binary64))))
	51.6%	(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
✓	99.5%	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
✓	99.2%	(*.f64 (sin.f64 x) (/.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
	59.6%	(*.f64 (sin.f64 x) #s(literal 2/3 binary64))
	51.5%	(.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)))
	51.5%	(.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)))
✓	51.5%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
✓	51.9%	(*.f64 #s(literal 2/3 binary64) x)

Compiler

Compiled 1 055 to 449 computations (57.4% saved)

regimes51.0ms (0.5%)

Memory

-0.3MiB live, 77.2MiB allocated

Counts

69 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2/3 binary64) x)
(.f64 x (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x))
(.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)))
(.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x))
(.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)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/360 binary64)) #s(literal -1/6 binary64))) #s(literal 2 binary64)) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/360 binary64)) #s(literal -1/6 binary64))) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/15120 binary64) #s(literal -1/360 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x))
(*.f64 (sin.f64 x) #s(literal 2/3 binary64))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(/.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4/3 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x 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)))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (sin.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))
(/.f64 (+.f64 #s(literal -4/3 binary64) (*.f64 (cos.f64 x) #s(literal 4/3 binary64))) (neg.f64 (sin.f64 x)))
(*.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 #s(literal -4/3 binary64) (.f64 (cos.f64 x) #s(literal 4/3 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 4/3 binary64)))
(.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 #s(literal 4/3 binary64) (+.f64 (cos.f64 x) #s(literal -1 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 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (/.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 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
(/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x))
(/.f64 #s(literal 4/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 4/3 binary64))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (.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 #s(literal -8/3 binary64) (pow.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 (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 (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 (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) (/.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 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

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

Calls

2 calls:

28.0ms	x
19.0ms	(/.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
99.8%	1	`x`
99.8%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes40.0ms (0.4%)

Memory

-7.7MiB live, 31.3MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2/3 binary64) x)
(.f64 x (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x))
(.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)))
(.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x))
(.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)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/360 binary64)) #s(literal -1/6 binary64))) #s(literal 2 binary64)) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/360 binary64)) #s(literal -1/6 binary64))) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/15120 binary64) #s(literal -1/360 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x))
(*.f64 (sin.f64 x) #s(literal 2/3 binary64))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes12.0ms (0.1%)

Memory

29.1MiB live, 29.1MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2/3 binary64) x)
(.f64 x (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x))
(.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)))
(.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x))
(.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)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/360 binary64)) #s(literal -1/6 binary64))) #s(literal 2 binary64)) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/360 binary64)) #s(literal -1/6 binary64))) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/15120 binary64) #s(literal -1/360 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x))
(*.f64 (sin.f64 x) #s(literal 2/3 binary64))

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

Calls

2 calls:

6.0ms	x
5.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Results

Accuracy	Segments	Branch
59.6%	1	`x`
59.6%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes13.0ms (0.1%)

Memory

-6.0MiB live, 31.7MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2/3 binary64) x)
(.f64 x (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x))
(.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)))
(.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x))
(.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)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/360 binary64)) #s(literal -1/6 binary64))) #s(literal 2 binary64)) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/360 binary64)) #s(literal -1/6 binary64))) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/15120 binary64) #s(literal -1/360 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x))

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

Calls

2 calls:

7.0ms	x
5.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Results

Accuracy	Segments	Branch
52.1%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
52.1%	1	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes4.0ms (0%)

Memory

12.3MiB live, 12.3MiB allocated

Accuracy

Total -0.3b remaining (-1%)

Threshold costs -0.3b (-1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
51.9%	1	`x`
51.9%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify10.0ms (0.1%)

Memory

-26.2MiB live, 16.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	24
1	21	24

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (11%)

Memory

-13.4MiB live, 883.5MiB allocated

Rules

18 506×	`lower-fma.f64`
18 506×	`lower-fma.f32`
15 830×	`lower-fma.f64`
15 830×	`lower-fma.f32`
15 442×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	161
0	60	151
1	228	151
2	1454	151
0	8246	151
0	178	1506
1	445	1506
2	1108	1500
3	3335	1494
4	4407	1494
5	7303	1494
0	8238	1394
0	24	95
0	41	83
1	139	81
2	648	81
0	5078	79
0	90	414
1	252	414
2	600	408
3	1799	408
4	3352	408
5	4719	408
6	5032	408
7	5327	408
8	5949	408
9	7813	408
0	8080	384
0	217	1662
1	636	1662
2	1589	1656
3	2950	1656
4	5209	1656
5	5502	1656
6	5922	1656
7	6871	1656
0	8029	1536
0	11	34
0	19	34
1	34	28
2	115	28
3	628	24
0	4915	24

Stop Event

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

Compiler

Compiled 102 to 76 computations (25.5% saved)

preprocess50.0ms (0.5%)

Memory: 14.0MiB live, 134.1MiB allocated
Remove: (negabs x)
Compiler: Compiled 146 to 100 computations (31.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze205.0ms (2.1%)

sample1.4s (14%)

preprocess58.0ms (0.6%)

explain377.0ms (3.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize44.0ms (0.5%)

series5.0ms (0.1%)

rewrite198.0ms (2%)

simplify572.0ms (5.8%)

eval42.0ms (0.4%)

prune116.0ms (1.2%)

simplify360.0ms (3.7%)

localize419.0ms (4.2%)

series12.0ms (0.1%)

rewrite503.0ms (5.1%)

simplify576.0ms (5.8%)

eval169.0ms (1.7%)

prune152.0ms (1.5%)

simplify300.0ms (3%)

localize224.0ms (2.3%)

series21.0ms (0.2%)

rewrite402.0ms (4.1%)

simplify445.0ms (4.5%)

eval140.0ms (1.4%)

prune103.0ms (1%)

simplify93.0ms (0.9%)

localize201.0ms (2%)

series24.0ms (0.2%)

rewrite561.0ms (5.7%)

simplify507.0ms (5.1%)

eval180.0ms (1.8%)

prune198.0ms (2%)

regimes51.0ms (0.5%)

regimes40.0ms (0.4%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes4.0ms (0%)

simplify10.0ms (0.1%)

soundness1.1s (11%)

preprocess50.0ms (0.5%)

end0.0ms (0%)

Profiling