Metrics for ENA, Section 1.4, Mentioned, A

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.6%	50.4%	0%	0%	0%	0
100%	49.6%	0%	50.4%	0%	0%	0%	1

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.5s (65.7%)

Results

2.6s	4353×	body	2048	valid
640.0ms	2050×	body	1024	valid
175.0ms	1071×	body	512	valid
82.0ms	782×	body	256	valid

Bogosity

preprocess21.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

16×	`sub-neg`
12×	`fma-def`
8×	`+-commutative`
6×	`associate--r+`
6×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	15	11
3	22	11
4	29	11
5	39	11
6	50	11
7	62	11
8	65	11
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 1 (cos.f64 x))

Outputs
(-.f64 1 (cos.f64 x))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

16×	`sub-neg`
12×	`fma-def`
8×	`+-commutative`
6×	`associate--r+`
6×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	15	11
3	22	11
4	29	11
5	39	11
6	50	11
7	62	11
8	65	11

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 1 (cos.f64 x))

Outputs
(-.f64 1 (cos.f64 x))

eval0.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Accurracy

58.1%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.1%	(-.f64 1 (cos.f64 x))
▶	58.1%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 10 to 8 computations (20% saved)

localize96.0ms (1.8%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	58.1%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 10 to 6 computations (40% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 1 (cos.f64 x))
0.0ms	x	@	inf	(-.f64 1 (cos.f64 x))
0.0ms	x	@	-inf	(-.f64 1 (cos.f64 x))

rewrite58.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`pow1`
1278×	`add-exp-log`
1278×	`log1p-expm1-u`
1278×	`expm1-log1p-u`
1252×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	140	11
2	1691	11

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(-.f64 1 (cos.f64 x))

Outputs
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1070×	`associate-/l*`
998×	`div-sub`
824×	`distribute-lft-in`
782×	`distribute-rgt-in`
724×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	800
1	231	740
2	679	670
3	3306	670

Stop Event

1×	node limit

Counts

32 → 44

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (.f64 x x) (.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(-.f64 1 (cos.f64 x))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(-.f64 1 (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))

eval9.0ms (0.2%)

Compiler: Compiled 491 to 309 computations (37.1% saved)

prune10.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	4	45

Accurracy

100.0%

Counts

45 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
✓	58.1%	(-.f64 1 (cos.f64 x))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.8%	(.f64 1/2 (.f64 x x))
▶	100.0%	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
✓	58.1%	(-.f64 1 (cos.f64 x))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.8%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 60 to 44 computations (26.7% saved)

localize90.0ms (1.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
✓	99.9%	(*.f64 -1/24 (pow.f64 x 4))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	100.0%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 55 to 32 computations (41.8% saved)

series5.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
1.0ms	x	@	inf	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
1.0ms	x	@	0	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
0.0ms	x	@	0	(.f64 1/2 (.f64 x x))
0.0ms	x	@	0	(*.f64 -1/24 (pow.f64 x 4))

rewrite119.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`log-prod`
792×	`prod-diff`
694×	`pow-exp`
610×	`expm1-udef`
604×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
1	370	74
2	4141	74

Stop Event

1×	node limit

Counts

4 → 100

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 4))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))

Outputs
(+.f64 0 (.f64 1/2 (.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (.f64 x x)))) 1)
(pow.f64 (.f64 1/2 (.f64 x x)) 1)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 2 (log.f64 x) (log.f64 1/2))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 1/2))) 2))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))
(+.f64 0 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))) 1)
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (/.f64 x -2)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)) (cos.f64 (/.f64 x -2)))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 2)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 2))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 1/2 x)) 3)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 2))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(+.f64 0 (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) 1/3)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 -1/24 (pow.f64 x 4))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/24 (pow.f64 x 4)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) (sqrt.f64 -1/24))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))
(+.f64 0 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1)
(.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(.f64 1 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 1/2 (.f64 x x)) (.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576)) (-.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4))))
(pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (*.f64 x x)))) (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))) (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24) (+.f64 1 (expm1.f64 (.f64 1/2 (*.f64 x x))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1606×	`unswap-sqr`
1134×	`times-frac`
490×	`cancel-sign-sub-inv`
416×	`log-prod`
386×	`difference-of-squares`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	3420
1	595	3274
2	2307	3248

Stop Event

1×	node limit

Counts

136 → 132

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 0 (.f64 1/2 (.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (.f64 x x)))) 1)
(pow.f64 (.f64 1/2 (.f64 x x)) 1)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 2 (log.f64 x) (log.f64 1/2))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 1/2))) 2))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))
(+.f64 0 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))) 1)
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (/.f64 x -2)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)) (cos.f64 (/.f64 x -2)))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 2)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 2))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 1/2 x)) 3)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 2))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(+.f64 0 (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) 1/3)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 -1/24 (pow.f64 x 4))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/24 (pow.f64 x 4)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) (sqrt.f64 -1/24))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))
(+.f64 0 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1)
(.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(.f64 1 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 1/2 (.f64 x x)) (.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576)) (-.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4))))
(pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (*.f64 x x)))) (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))) (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24) (+.f64 1 (expm1.f64 (.f64 1/2 (*.f64 x x))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (.f64 1/720 (pow.f64 x 6)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 0 (.f64 1/2 (.f64 x x)))
(.f64 1/2 (.f64 x x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(*.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (.f64 x x)))) 1)
(.f64 1/2 (.f64 x x))
(pow.f64 (.f64 1/2 (.f64 x x)) 1)
(.f64 1/2 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 3)
(.f64 1/2 (.f64 x x))
(pow.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) 1/3)
(.f64 1/2 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(.f64 1/2 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(*.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))))
(.f64 1/2 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3))
(.f64 1/2 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 x x))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(.f64 1/2 (.f64 x x))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1))
(.f64 1/2 (.f64 x x))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 1/2)) 1) 1))
(.f64 1/2 (.f64 x x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 x x)))) 3))
(.f64 1/2 (.f64 x x))
(exp.f64 (.f64 (.f64 3 (fma.f64 2 (log.f64 x) (log.f64 1/2))) 1/3))
(.f64 1/2 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 1/2))) 2))
(.f64 1/2 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 x x))
(+.f64 0 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 1/2 x))) (sin.f64 x)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))) 1)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (/.f64 x -2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (/.f64 x -2)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (/.f64 x -2))) (sin.f64 (.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)) (cos.f64 (/.f64 x -2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (/.f64 x -2)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (/.f64 x -2))) (sin.f64 (.f64 1/2 x)))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 1)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 3)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 3) 1/3)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 2)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 2))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))) (sin.f64 x)))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 3))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 1/2 x)) 3)))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 1))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) 1) 1))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 3))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))) 1/3))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 2))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(+.f64 0 (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))))
(*.f64 -1/24 (pow.f64 x 4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) 1/3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) 2)
(*.f64 -1/24 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))
(*.f64 -1/24 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))))
(*.f64 -1/24 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3))
(*.f64 -1/24 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 -1/24 (pow.f64 x 4))) 1))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))) 1) 1))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/24 (pow.f64 x 4)))) 3))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1/3))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) (sqrt.f64 -1/24))) 2))
(*.f64 -1/24 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 0 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (*.f64 x x)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (*.f64 x x)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(.f64 1 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 1/2 (.f64 x x)) (.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 (pow.f64 x 8) 1/576 (neg.f64 (.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 (pow.f64 x 8) 1/576 (.f64 -1/2 (*.f64 (pow.f64 x 6) -1/24)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (.f64 -1/13824 (pow.f64 x 12))) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 (pow.f64 x 8) 1/576 (.f64 1/2 (*.f64 (pow.f64 x 6) 1/24)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576)) (-.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 1/576)) (+.f64 (.f64 1/2 (.f64 x x)) (*.f64 1/24 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -1/576)) (fma.f64 1/2 (.f64 x x) (*.f64 (pow.f64 x 4) 1/24)))
(pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 3)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(log.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(log.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
(fma.f64 x (log.f64 (sqrt.f64 (exp.f64 x))) (*.f64 -1/24 (pow.f64 x 4)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (*.f64 x x)))) (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))) (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4))))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
(fma.f64 x (log.f64 (sqrt.f64 (exp.f64 x))) (*.f64 -1/24 (pow.f64 x 4)))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24) (+.f64 1 (expm1.f64 (.f64 1/2 (*.f64 x x))))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
(fma.f64 x (log.f64 (sqrt.f64 (exp.f64 x))) (*.f64 -1/24 (pow.f64 x 4)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x))))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(exp.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 1) 1))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 3))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))) 1/3))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))

eval48.0ms (0.9%)

Compiler: Compiled 1889 to 1305 computations (30.9% saved)

prune23.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	0	0	0
Picked	2	1	3
Done	0	1	1
Total	132	4	136

Accurracy

100.0%

Counts

136 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
✓	58.1%	(-.f64 1 (cos.f64 x))
▶	100.0%	(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
✓	99.8%	(.f64 1/2 (.f64 x x))
▶	99.3%	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
✓	58.1%	(-.f64 1 (cos.f64 x))
▶	100.0%	(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
✓	99.8%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 60 to 46 computations (23.3% saved)

localize66.0ms (1.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
✓	99.4%	(*.f64 x (sqrt.f64 1/2))
	100.0%	(.f64 1/2 (.f64 x x))
	99.9%	(*.f64 -1/24 (pow.f64 x 4))

Compiler

Compiled 48 to 33 computations (31.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 x (sqrt.f64 1/2))
0.0ms	x	@	inf	(*.f64 x (sqrt.f64 1/2))
0.0ms	x	@	-inf	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
0.0ms	x	@	-inf	(*.f64 x (sqrt.f64 1/2))
0.0ms	x	@	0	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)

rewrite57.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1456×	`pow1`
1338×	`add-exp-log`
1338×	`log1p-expm1-u`
1338×	`expm1-log1p-u`
1306×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	184	24
2	1958	24

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 1/2))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)

Outputs
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 1/2))) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 1)
(pow.f64 (.f64 1/2 (.f64 x x)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) 2)
(sqrt.f64 (.f64 1/2 (.f64 x x)))
(fabs.f64 (*.f64 x (sqrt.f64 1/2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
(.f64 x (.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2))))
(.f64 1/2 (.f64 x x))
(.f64 (sqrt.f64 1/2) (.f64 x (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 (.f64 1/2 (*.f64 x x)) 1)
(.f64 1 (.f64 1/2 (*.f64 x x)))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 4)))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 x (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 4)) (cbrt.f64 (.f64 1/2 (.f64 x x))))
(.f64 (.f64 x x) 1/2)
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 (.f64 x (sqrt.f64 1/2)))) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) x) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) x)
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (cbrt.f64 (.f64 1/2 (.f64 x x)))) (cbrt.f64 (.f64 x (sqrt.f64 1/2))))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 4))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/2 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))

simplify72.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1238×	`fma-def`
1214×	`distribute-rgt-in`
1210×	`distribute-lft-in`
1080×	`log-prod`
600×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	1097
1	193	777
2	677	769
3	2251	769
4	7376	769

Stop Event

1×	node limit

Counts

59 → 42

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 1/2))) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 1)
(pow.f64 (.f64 1/2 (.f64 x x)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) 2)
(sqrt.f64 (.f64 1/2 (.f64 x x)))
(fabs.f64 (*.f64 x (sqrt.f64 1/2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
(.f64 x (.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2))))
(.f64 1/2 (.f64 x x))
(.f64 (sqrt.f64 1/2) (.f64 x (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 (.f64 1/2 (*.f64 x x)) 1)
(.f64 1 (.f64 1/2 (*.f64 x x)))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 4)))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 x (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 4)) (cbrt.f64 (.f64 1/2 (.f64 x x))))
(.f64 (.f64 x x) 1/2)
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 (.f64 x (sqrt.f64 1/2)))) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) x) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) x)
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (cbrt.f64 (.f64 1/2 (.f64 x x)))) (cbrt.f64 (.f64 x (sqrt.f64 1/2))))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 4))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/2 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))

Outputs
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 1/2))) 1)
(*.f64 (sqrt.f64 1/2) x)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 1)
(*.f64 (sqrt.f64 1/2) x)
(pow.f64 (.f64 1/2 (.f64 x x)) 1/2)
(*.f64 (sqrt.f64 1/2) x)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/2))) 3)
(*.f64 (sqrt.f64 1/2) x)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3) 1/3)
(*.f64 (sqrt.f64 1/2) x)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) 2)
(*.f64 (sqrt.f64 1/2) x)
(sqrt.f64 (.f64 1/2 (.f64 x x)))
(*.f64 (sqrt.f64 1/2) x)
(fabs.f64 (*.f64 x (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) x)
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) x)
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3))
(*.f64 (sqrt.f64 1/2) x)
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) x)
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) x)
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) x)
(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(.f64 x (.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2))))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 (/.f64 x 2) x)
(.f64 (sqrt.f64 1/2) (.f64 x (*.f64 x (sqrt.f64 1/2))))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(.f64 (.f64 1/2 (*.f64 x x)) 1)
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(.f64 1 (.f64 1/2 (*.f64 x x)))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 4)))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) x) 4)))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 1/4 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 (/.f64 x 2) x)))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 x (sqrt.f64 1/2))))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 1/2)) 4)) (cbrt.f64 (.f64 1/2 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) x) 4)))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 1/4 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 (/.f64 x 2) x)))
(.f64 (.f64 x x) 1/2)
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 (.f64 x (sqrt.f64 1/2)))) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) x) (sqrt.f64 1/2))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) x)
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (cbrt.f64 (.f64 1/2 (.f64 x x)))) (cbrt.f64 (.f64 x (sqrt.f64 1/2))))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 4))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(exp.f64 (log.f64 (.f64 1/2 (.f64 x x))))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))
(.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)

eval87.0ms (1.6%)

Compiler: Compiled 1105 to 789 computations (28.6% saved)

prune14.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	0	0
Picked	1	1	2
Done	1	1	2
Total	88	4	92

Accurracy

100.0%

Counts

92 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.1%	(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
✓	58.1%	(-.f64 1 (cos.f64 x))
✓	100.0%	(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
▶	99.8%	(*.f64 (/.f64 x 2) x)
▶	58.1%	(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
✓	58.1%	(-.f64 1 (cos.f64 x))
✓	100.0%	(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
▶	99.8%	(*.f64 (/.f64 x 2) x)

Compiler

Compiled 66 to 50 computations (24.2% saved)

localize128.0ms (2.4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(.f64 1/2 (.f64 x x))
✓	58.1%	(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)

Compiler

Compiled 39 to 23 computations (41% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
0.0ms	x	@	0	(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)

rewrite59.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1830×	`pow1`
1712×	`add-exp-log`
1710×	`log1p-expm1-u`
1710×	`expm1-log1p-u`
202×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	198	13
2	2651	13

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)

Outputs
(+.f64 1 (fma.f64 1/2 (*.f64 x x) -1))
(+.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) -1) 1))
(+.f64 (.f64 1/2 (.f64 x x)) 0)
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) -1)
(+.f64 -1 (fma.f64 1/2 (*.f64 x x) 1))
(+.f64 (fma.f64 1/2 (*.f64 x x) -1) 1)
(.f64 1 (.f64 1/2 (*.f64 x x)))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 (.f64 x x) 1/2)
(.f64 (.f64 1/2 (*.f64 x x)) 1)
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) 1/2))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))))
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (*.f64 x x)) 2))))
(.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (.f64 1/2 (.f64 x x)) 2)))
(.f64 (.f64 1/2 x) x)
(.f64 (+.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) 1))
(.f64 (.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 (*.f64 1/2 x) 1) x)
(.f64 (.f64 (.f64 1/2 x) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (*.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (.f64 1/2 (.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (.f64 x x)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (-.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1) (+.f64 (.f64 1/2 (*.f64 x x)) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1) (-.f64 (fma.f64 1/2 (.f64 x x) 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (.f64 x x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) -1) 3)) (+.f64 1 (-.f64 (.f64 (fma.f64 1/2 (.f64 x x) -1) (fma.f64 1/2 (.f64 x x) -1)) (fma.f64 1/2 (*.f64 x x) -1))))
(/.f64 (-.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) -1) (fma.f64 1/2 (.f64 x x) -1))) (-.f64 1 (fma.f64 1/2 (.f64 x x) -1)))
(pow.f64 (.f64 1/2 (.f64 x x)) 1)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/8))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))
(fma.f64 1 (fma.f64 1/2 (*.f64 x x) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) -1)
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) -1)

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

884×	`div-sub`
746×	`fma-def`
696×	`distribute-lft-neg-in`
656×	`distribute-rgt-neg-in`
628×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	1367
1	294	1311
2	825	1299
3	3748	1299

Stop Event

1×	node limit

Counts

59 → 64

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) -1))
(+.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) -1) 1))
(+.f64 (.f64 1/2 (.f64 x x)) 0)
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) -1)
(+.f64 -1 (fma.f64 1/2 (*.f64 x x) 1))
(+.f64 (fma.f64 1/2 (*.f64 x x) -1) 1)
(.f64 1 (.f64 1/2 (*.f64 x x)))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 (.f64 x x) 1/2)
(.f64 (.f64 1/2 (*.f64 x x)) 1)
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) 1/2))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))))
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (*.f64 x x)) 2))))
(.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (.f64 1/2 (.f64 x x)) 2)))
(.f64 (.f64 1/2 x) x)
(.f64 (+.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) 1))
(.f64 (.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 (*.f64 1/2 x) 1) x)
(.f64 (.f64 (.f64 1/2 x) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (*.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (.f64 1/2 (.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (.f64 x x)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (-.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1) (+.f64 (.f64 1/2 (*.f64 x x)) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1) (-.f64 (fma.f64 1/2 (.f64 x x) 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (.f64 x x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) -1) 3)) (+.f64 1 (-.f64 (.f64 (fma.f64 1/2 (.f64 x x) -1) (fma.f64 1/2 (.f64 x x) -1)) (fma.f64 1/2 (*.f64 x x) -1))))
(/.f64 (-.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) -1) (fma.f64 1/2 (.f64 x x) -1))) (-.f64 1 (fma.f64 1/2 (.f64 x x) -1)))
(pow.f64 (.f64 1/2 (.f64 x x)) 1)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/8))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))
(fma.f64 1 (fma.f64 1/2 (*.f64 x x) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) -1)
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) -1)

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) -1))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) -1) 1))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 (.f64 1/2 (.f64 x x)) 0)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) -1)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 -1 (fma.f64 1/2 (*.f64 x x) 1))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 (fma.f64 1/2 (*.f64 x x) -1) 1)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 1 (.f64 1/2 (*.f64 x x)))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 x (.f64 1/2 x))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 x x) 1/2)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 (.f64 1/2 (*.f64 x x)) 1)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) 1/2))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 1/2 (cbrt.f64 (*.f64 x x))))
(.f64 1/2 (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 1/2 (cbrt.f64 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 x (.f64 1/2 x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 x (.f64 1/2 x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (*.f64 x x)) 2))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 x (.f64 1/2 x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 1/2 (.f64 x x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (.f64 1/2 (.f64 x x)) 2)))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 (.f64 1/2 x) x)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 (+.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) 1))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 (.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 1/2 (cbrt.f64 (*.f64 x x))))
(.f64 1/2 (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 1/2 (cbrt.f64 (pow.f64 x 4))))
(.f64 (.f64 (*.f64 1/2 x) 1) x)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 (.f64 (.f64 1/2 x) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 1/2 x) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))
(.f64 1/2 (.f64 x (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x))))
(.f64 1/2 (.f64 (cbrt.f64 (.f64 x x)) (.f64 x (cbrt.f64 x))))
(.f64 (.f64 (*.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 x (.f64 1/2 x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 1/2 (.f64 x x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/2 (.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1)))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (.f64 x x)) 2)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 x (.f64 1/2 x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 1/2 (.f64 x x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (-.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) 1) -1))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 x (.f64 1/2 x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 1/2 (.f64 x x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1) (+.f64 (.f64 1/2 (*.f64 x x)) 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1) (-.f64 (fma.f64 1/2 (.f64 x x) 1) -1))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (+.f64 (.f64 1/2 (.f64 x x)) 2))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 x (.f64 1/2 x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 1/2 (.f64 x x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 2)))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) -1) 3)) (+.f64 1 (-.f64 (.f64 (fma.f64 1/2 (.f64 x x) -1) (fma.f64 1/2 (.f64 x x) -1)) (fma.f64 1/2 (*.f64 x x) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) -1) 3)) (+.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) -1) (-.f64 (fma.f64 1/2 (.f64 x x) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (.f64 1/2 x) -1) 3)) (fma.f64 (fma.f64 x (.f64 1/2 x) -1) (+.f64 (.f64 x (.f64 1/2 x)) -2) 1))
(/.f64 (-.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) -1) (fma.f64 1/2 (.f64 x x) -1))) (-.f64 1 (fma.f64 1/2 (.f64 x x) -1)))
(/.f64 (fma.f64 (fma.f64 x (.f64 1/2 x) -1) (fma.f64 x (.f64 x -1/2) 1) 1) (+.f64 (.f64 x (.f64 x -1/2)) 2))
(/.f64 (.f64 (.f64 x (.f64 1/2 x)) (-.f64 2 (.f64 x (.f64 1/2 x)))) (-.f64 2 (.f64 x (*.f64 1/2 x))))
(pow.f64 (.f64 1/2 (.f64 x x)) 1)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 3)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/8) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/8))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/8))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(exp.f64 (log.f64 (.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 x x))) 1))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(fma.f64 1 (fma.f64 1/2 (*.f64 x x) 1) -1)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) -1)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) -1)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))

eval23.0ms (0.4%)

Compiler: Compiled 1222 to 820 computations (32.9% saved)

prune14.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	89	4	93

Accurracy

100.0%

Counts

93 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.1%	(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
✓	58.1%	(-.f64 1 (cos.f64 x))
✓	100.0%	(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
✓	99.8%	(*.f64 (/.f64 x 2) x)

Compiler

Compiled 91 to 64 computations (29.7% saved)

regimes12.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
(-.f64 1 (cos.f64 x))
(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))

Outputs
(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))

Calls

3 calls:

5.0ms	x
3.0ms	(-.f64 1 (cos.f64 x))
2.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 1 (cos.f64 x))`
100.0%	1	`(cos.f64 x)`

Compiler

Compiled 68 to 46 computations (32.4% saved)

regimes8.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(*.f64 (/.f64 x 2) x)
(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
(-.f64 1 (cos.f64 x))

Outputs
(*.f64 (/.f64 x 2) x)

Calls

3 calls:

3.0ms	x
2.0ms	(-.f64 1 (cos.f64 x))
2.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(-.f64 1 (cos.f64 x))`
99.8%	1	`(cos.f64 x)`

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes7.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))

Outputs
(.f64 1/2 (.f64 x x))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	18	57

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (/.f64 x 2) x)
(.f64 1/2 (.f64 x x))

Outputs
(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (/.f64 x 2) x)
(*.f64 x (/.f64 x 2))
(.f64 1/2 (.f64 x x))

Compiler

Compiled 24 to 17 computations (29.2% saved)

soundness559.0ms (10.4%)

Rules

1540×	`log-prod`
1540×	`log-prod`
1238×	`fma-def`
1214×	`distribute-rgt-in`
1210×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	800
1	231	740
2	679	670
3	3306	670
0	18	74
1	370	74
2	4141	74
0	93	800
1	231	740
2	679	670
3	3306	670
0	18	74
1	370	74
2	4141	74
0	79	1097
1	193	777
2	677	769
3	2251	769
4	7376	769

Stop Event

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

Compiler

Compiled 258 to 173 computations (32.9% saved)

end41.0ms (0.8%)

Compiler: Compiled 76 to 50 computations (34.2% saved)

analyze0.0ms (0%)

sample3.5s (65.7%)

preprocess21.0ms (0.4%)

simplify15.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize96.0ms (1.8%)

series1.0ms (0%)

rewrite58.0ms (1.1%)

simplify54.0ms (1%)

eval9.0ms (0.2%)

prune10.0ms (0.2%)

localize90.0ms (1.7%)

series5.0ms (0.1%)

rewrite119.0ms (2.2%)

simplify64.0ms (1.2%)

eval48.0ms (0.9%)

prune23.0ms (0.4%)

localize66.0ms (1.2%)

series2.0ms (0%)

rewrite57.0ms (1.1%)

simplify72.0ms (1.4%)

eval87.0ms (1.6%)

prune14.0ms (0.3%)

localize128.0ms (2.4%)

series0.0ms (0%)

rewrite59.0ms (1.1%)

simplify68.0ms (1.3%)

eval23.0ms (0.4%)

prune14.0ms (0.3%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

simplify5.0ms (0.1%)

soundness559.0ms (10.4%)

end41.0ms (0.8%)

Profiling