Details

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)

sample3.1s (62.1%)

Results

2.3s	4444×	body	2048	valid
519.0ms	2026×	body	1024	valid
172.0ms	1027×	body	512	valid
86.0ms	759×	body	256	valid

Bogosity

preprocess14.0ms (0.3%)

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

52.3%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.3%	(-.f64 1 (cos.f64 x))
▶	52.3%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 10 to 8 computations (20% saved)

localize141.0ms (2.8%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	52.3%	(-.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))

rewrite56.0ms (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 (1.1%)

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))

eval12.0ms (0.2%)

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

prune6.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	3	45

Accurracy

100.0%

Counts

45 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.3%	(-.f64 1 (cos.f64 x))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.6%	(.f64 1/2 (.f64 x x))
✓	52.3%	(-.f64 1 (cos.f64 x))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.6%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize60.0ms (1.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 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)))
0.0ms	x	@	0	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

rewrite57.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`pow1`
1626×	`add-exp-log`
1626×	`log1p-expm1-u`
1626×	`expm1-log1p-u`
1590×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	187	21
2	2213	21

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

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

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1178×	`log-prod`
1122×	`fma-def`
760×	`distribute-rgt-out`
676×	`distribute-rgt-in`
662×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	935
1	160	857
2	437	779
3	2079	779
4	5873	779

Stop Event

1×	node limit

Counts

27 → 33

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

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

eval8.0ms (0.2%)

Compiler: Compiled 377 to 264 computations (30% saved)

prune13.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	32	4	36

Accurracy

100.0%

Counts

36 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.3%	(-.f64 1 (cos.f64 x))
▶	99.9%	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.6%	(.f64 1/2 (.f64 x x))
✓	52.3%	(-.f64 1 (cos.f64 x))
▶	99.9%	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.6%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 60 to 42 computations (30% saved)

localize33.0ms (0.7%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓	99.5%	(*.f64 x -1/24)

Compiler

Compiled 27 to 16 computations (40.7% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite79.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`pow1`
1698×	`add-exp-log`
1698×	`log1p-expm1-u`
1698×	`expm1-log1p-u`
1662×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	203	34
2	2335	34

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(*.f64 x -1/24)
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))

Outputs
(-.f64 (+.f64 1 (*.f64 x -1/24)) 1)
(pow.f64 (*.f64 x -1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)
(sqrt.f64 (pow.f64 (*.f64 x -1/24) 2))
(log.f64 (pow.f64 (exp.f64 x) -1/24))
(cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 x -1/24)))
(exp.f64 (log.f64 (*.f64 x -1/24)))
(log1p.f64 (expm1.f64 (*.f64 x -1/24)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x -1/24))) (.f64 (.f64 x x) 1/2))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(-.f64 (+.f64 1 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 1)
(pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3) 1/3)
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 2)
(sqrt.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -1/24) 1/2)))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x -1/24) 1/2) 3) (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(exp.f64 (log.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))

simplify69.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1878×	`fma-def`
1502×	`log-prod`
816×	`associate-+r+`
744×	`associate-+l+`
720×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	848
1	199	848
2	755	848
3	3107	848
4	7009	848

Stop Event

1×	node limit

Counts

50 → 36

Calls

Call 1

Inputs
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 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 (+.f64 1 (*.f64 x -1/24)) 1)
(pow.f64 (*.f64 x -1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)
(sqrt.f64 (pow.f64 (*.f64 x -1/24) 2))
(log.f64 (pow.f64 (exp.f64 x) -1/24))
(cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 x -1/24)))
(exp.f64 (log.f64 (*.f64 x -1/24)))
(log1p.f64 (expm1.f64 (*.f64 x -1/24)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x -1/24))) (.f64 (.f64 x x) 1/2))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(-.f64 (+.f64 1 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 1)
(pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3) 1/3)
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 2)
(sqrt.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -1/24) 1/2)))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x -1/24) 1/2) 3) (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(exp.f64 (log.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))

Outputs
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 1/2 (pow.f64 x 2))
(.f64 (.f64 1/2 x) x)
(.f64 x (.f64 x 1/2))
(+.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)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(+.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)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(+.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)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(*.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)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(+.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)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(+.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)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(*.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)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(+.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)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(+.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)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(-.f64 (+.f64 1 (*.f64 x -1/24)) 1)
(*.f64 -1/24 x)
(pow.f64 (*.f64 x -1/24) 1)
(*.f64 -1/24 x)
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)
(*.f64 -1/24 x)
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)
(*.f64 -1/24 x)
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)
(*.f64 -1/24 x)
(sqrt.f64 (pow.f64 (*.f64 x -1/24) 2))
(*.f64 -1/24 x)
(log.f64 (pow.f64 (exp.f64 x) -1/24))
(*.f64 -1/24 x)
(cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))
(*.f64 -1/24 x)
(expm1.f64 (log1p.f64 (*.f64 x -1/24)))
(*.f64 -1/24 x)
(exp.f64 (log.f64 (*.f64 x -1/24)))
(*.f64 -1/24 x)
(log1p.f64 (expm1.f64 (*.f64 x -1/24)))
(*.f64 -1/24 x)
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x -1/24))) (.f64 (.f64 x x) 1/2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(-.f64 (+.f64 1 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 3)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(pow.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3) 1/3)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 2)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(sqrt.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 3)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x -1/24) 1/2) 3) (pow.f64 (*.f64 x x) 3)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(exp.f64 (log.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))

eval8.0ms (0.2%)

Compiler: Compiled 420 to 259 computations (38.3% saved)

prune8.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	35	5	40

Accurracy

100.0%

Counts

40 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.3%	(-.f64 1 (cos.f64 x))
▶	99.9%	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.9%	(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
✓	99.6%	(.f64 1/2 (.f64 x x))
✓	52.3%	(-.f64 1 (cos.f64 x))
▶	99.9%	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.9%	(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
✓	99.6%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 92 to 62 computations (32.6% saved)

localize84.0ms (1.7%)

Local Accuracy

Found 5 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
✓	99.9%	(.f64 (.f64 x (.f64 x -1/24)) (.f64 x x))
✓	99.8%	(.f64 x (.f64 x -1/24))
	99.5%	(*.f64 x -1/24)
✓	100.0%	(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))

Compiler

Compiled 73 to 43 computations (41.1% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
1.0ms	x	@	0	(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
1.0ms	x	@	inf	(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
0.0ms	x	@	inf	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
0.0ms	x	@	0	(.f64 (.f64 x (.f64 x -1/24)) (.f64 x x))

rewrite105.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`log-prod`
1280×	`fma-def`
576×	`expm1-udef`
572×	`log1p-udef`
454×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	92
1	369	80
2	4665	80

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

Inputs
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(.f64 x (.f64 x -1/24))
(.f64 (.f64 x (.f64 x -1/24)) (.f64 x x))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))

Outputs
(+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 x (*.f64 x 1/2)))
(+.f64 (.f64 x (.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(+.f64 0 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3))))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) -1/2))) (/.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) -1/2))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2)) (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))))
(/.f64 1 (/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) -1/2)) (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2)))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 x (.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 (pow.f64 x 4) 1/4)) (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) -1/2)))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3))) (neg.f64 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 (pow.f64 x 4) 1/4))) (neg.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) -1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2)) (-.f64 (.f64 x (.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24)))
(pow.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))) 3)
(pow.f64 (pow.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)) 3) 1/3)
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)) 2))
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(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 -1/24 (pow.f64 x 3))) (.f64 x (.f64 x 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x (.f64 x -1/24))) (.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 x (.f64 x 1/2))) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (.f64 (cbrt.f64 (.f64 x (.f64 x -1/24))) (.f64 x x)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (pow.f64 x 4) -1/24 (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 x (.f64 x (sqrt.f64 -1/24))) (.f64 x (.f64 x (sqrt.f64 -1/24))) (.f64 x (.f64 x 1/2)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (.f64 x 1/2)) x) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 -1/24 (pow.f64 x 3))) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x (sqrt.f64 -1/24)) (.f64 (.f64 x (sqrt.f64 -1/24)) (.f64 x x)) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 -1/24 (pow.f64 x 3)) x (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 (.f64 x (.f64 x -1/24)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 (.f64 (pow.f64 x 4) 1/576))) (cbrt.f64 (.f64 x (.f64 x -1/24))) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 (.f64 x x) (.f64 x (sqrt.f64 -1/24))) (.f64 x (sqrt.f64 -1/24)) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) 1) x (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))

simplify127.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-/l*`
618×	`associate-/r*`
614×	`cancel-sign-sub-inv`
532×	`log-prod`
468×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	7666
1	721	7502
2	2594	7140

Stop Event

1×	node limit

Counts

244 → 162

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 -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 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.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 (.f64 (pow.f64 x 4) -1/24) (.f64 x (*.f64 x 1/2)))
(+.f64 (.f64 x (.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(+.f64 0 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3))))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) -1/2))) (/.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) -1/2))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2)) (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))))
(/.f64 1 (/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) -1/2)) (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2)))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 x (.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 (pow.f64 x 4) 1/4)) (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) -1/2)))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3))) (neg.f64 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 (pow.f64 x 4) 1/4))) (neg.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) -1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2)) (-.f64 (.f64 x (.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24)))
(pow.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))) 3)
(pow.f64 (pow.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)) 3) 1/3)
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 (*.f64 -1/24 (pow.f64 x 3)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)))))
(log.f64 (.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)) (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24))) (pow.f64 (pow.f64 (exp.f64 x) 1/2) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24))) (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2))))))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/2) x) (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))) (exp.f64 (.f64 (pow.f64 x 4) -1/24))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))) (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24)))))
(cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3))) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))))
(exp.f64 (log.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 1/2) (*.f64 (pow.f64 x 4) -1/24))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))))
(fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 -1/24 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (pow.f64 x 3) (.f64 x -1/24) (.f64 x (*.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x 1/2) x (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x -1/24) (pow.f64 x 3) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x (.f64 x -1/24)) (.f64 x x) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x x) 1/2 (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x x) (.f64 x (.f64 x -1/24)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 (pow.f64 x 4) -1/24) 1 (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x (.f64 x 1/2)) 1 (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 1 (.f64 (pow.f64 x 4) -1/24) (.f64 x (*.f64 x 1/2)))
(fma.f64 1 (.f64 x (.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) -1/24)) 2) (.f64 x (.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) -1/24)) 2) (cbrt.f64 (.f64 (pow.f64 x 4) -1/24)) (.f64 x (.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 (cbrt.f64 (.f64 x 1/2)) x) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 -1/24 (pow.f64 x 3))) (.f64 x (.f64 x 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x (.f64 x -1/24))) (.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 x (.f64 x 1/2))) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (.f64 (cbrt.f64 (.f64 x (.f64 x -1/24))) (.f64 x x)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (pow.f64 x 4) -1/24 (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 x (.f64 x (sqrt.f64 -1/24))) (.f64 x (.f64 x (sqrt.f64 -1/24))) (.f64 x (.f64 x 1/2)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (.f64 x 1/2)) x) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 -1/24 (pow.f64 x 3))) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x (sqrt.f64 -1/24)) (.f64 (.f64 x (sqrt.f64 -1/24)) (.f64 x x)) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 -1/24 (pow.f64 x 3)) x (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 (.f64 x (.f64 x -1/24)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 (.f64 (pow.f64 x 4) 1/576))) (cbrt.f64 (.f64 x (.f64 x -1/24))) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 (.f64 x x) (.f64 x (sqrt.f64 -1/24))) (.f64 x (sqrt.f64 -1/24)) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) 1) x (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))
(+.f64 0 (.f64 x (.f64 x -1/24)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/24) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/24) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/24) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/24) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/24) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/24)))) 1)
(pow.f64 (.f64 x (.f64 x -1/24)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -1/24))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x -1/24)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/24) x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x -1/24)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x -1/24)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x -1/24) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x -1/24) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -1/24))))
(exp.f64 (log.f64 (.f64 x (.f64 x -1/24))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x -1/24))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -1/24))))
(+.f64 0 (*.f64 (pow.f64 x 4) -1/24))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24))) (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24))) 1)
(pow.f64 (*.f64 (pow.f64 x 4) -1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -1/24)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)
(pow.f64 (.f64 x (.f64 x (sqrt.f64 -1/24))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) -1/24)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) -1/2))) (/.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) -1/2))))
(.f64 x (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(.f64 (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3))) x)
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(.f64 (fma.f64 x (.f64 x 1/2) (*.f64 (pow.f64 x 4) -1/24)) 1)
(.f64 1 (fma.f64 x (.f64 x 1/2) (*.f64 (pow.f64 x 4) -1/24)))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) (*.f64 (pow.f64 x 4) -1/24))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))) 2) (cbrt.f64 (fma.f64 x (.f64 x 1/2) (*.f64 (pow.f64 x 4) -1/24))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (fma.f64 x 1/2 (*.f64 -1/24 (pow.f64 x 3)))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (*.f64 x -1/24) 1/2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3)))) 2) (.f64 (cbrt.f64 (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3)))) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x 1/2 (*.f64 -1/24 (pow.f64 x 3)))))
(.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))))
(.f64 (sqrt.f64 (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3)))) (.f64 (sqrt.f64 (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3)))) x))
(.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (/.f64 1 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2))))
(.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) -1/2))))
(.f64 (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 x x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3)))) 2)) (cbrt.f64 (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3)))))
(.f64 (.f64 x (sqrt.f64 (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3))))) (sqrt.f64 (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3)))))
(.f64 (.f64 (fma.f64 x 1/2 (*.f64 -1/24 (pow.f64 x 3))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (fma.f64 x 1/2 (*.f64 -1/24 (pow.f64 x 3))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2)) (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))))
(/.f64 1 (/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) -1/2)) (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2)))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 x (.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 (pow.f64 x 4) 1/4)) (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) -1/2)))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3))) (neg.f64 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 (pow.f64 x 4) 1/4))) (neg.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) -1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2)) (-.f64 (.f64 x (.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24)))
(pow.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))) 3)
(pow.f64 (pow.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)) 3) 1/3)
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 (*.f64 -1/24 (pow.f64 x 3)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)))))
(log.f64 (.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)) (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24))) (pow.f64 (pow.f64 (exp.f64 x) 1/2) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24))) (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2))))))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/2) x) (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))) (exp.f64 (.f64 (pow.f64 x 4) -1/24))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))) (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24)))))
(cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3))) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))))
(exp.f64 (log.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 1/2) (*.f64 (pow.f64 x 4) -1/24))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))))
(fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 -1/24 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (pow.f64 x 3) (.f64 x -1/24) (.f64 x (*.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x 1/2) x (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x -1/24) (pow.f64 x 3) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x (.f64 x -1/24)) (.f64 x x) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x x) 1/2 (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x x) (.f64 x (.f64 x -1/24)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 (pow.f64 x 4) -1/24) 1 (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x (.f64 x 1/2)) 1 (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 1 (.f64 (pow.f64 x 4) -1/24) (.f64 x (*.f64 x 1/2)))
(fma.f64 1 (.f64 x (.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) -1/24)) 2) (.f64 x (.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) -1/24)) 2) (cbrt.f64 (.f64 (pow.f64 x 4) -1/24)) (.f64 x (.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 (cbrt.f64 (.f64 x 1/2)) x) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 -1/24 (pow.f64 x 3))) (.f64 x (.f64 x 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x (.f64 x -1/24))) (.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 x (.f64 x 1/2))) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (.f64 (cbrt.f64 (.f64 x (.f64 x -1/24))) (.f64 x x)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (pow.f64 x 4) -1/24 (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 x (.f64 x (sqrt.f64 -1/24))) (.f64 x (.f64 x (sqrt.f64 -1/24))) (.f64 x (.f64 x 1/2)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (.f64 x 1/2)) x) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 -1/24 (pow.f64 x 3))) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x (sqrt.f64 -1/24)) (.f64 (.f64 x (sqrt.f64 -1/24)) (.f64 x x)) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 -1/24 (pow.f64 x 3)) x (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 (.f64 x (.f64 x -1/24)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 (.f64 (pow.f64 x 4) 1/576))) (cbrt.f64 (.f64 x (.f64 x -1/24))) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 (.f64 x x) (.f64 x (sqrt.f64 -1/24))) (.f64 x (sqrt.f64 -1/24)) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) 1) x (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))

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)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(+.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)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(+.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)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.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)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(+.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)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(+.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)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.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)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(+.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)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(+.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)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 x (.f64 x -1/24))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 x (.f64 x -1/24))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 x (.f64 x -1/24))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 x (.f64 x -1/24))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 x (.f64 x -1/24))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 x (.f64 x -1/24))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 x (.f64 x -1/24))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 x (.f64 x -1/24))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 x (.f64 x -1/24))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 x (.f64 x -1/24))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 x (.f64 x -1/24))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 x (.f64 x -1/24))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.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)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(+.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)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(+.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)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.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)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(+.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)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(+.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)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.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)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(+.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)))
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(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/2) x) (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))) (exp.f64 (.f64 (pow.f64 x 4) -1/24))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))) (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24)) 3))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3))) 3)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3))) 3) (pow.f64 x 3)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(expm1.f64 (log1p.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(exp.f64 (log.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 1/2) (*.f64 (pow.f64 x 4) -1/24))) 1))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 x (.f64 -1/24 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (pow.f64 x 3) (.f64 x -1/24) (.f64 x (*.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (.f64 x 1/2) x (.f64 (pow.f64 x 4) -1/24))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (.f64 x -1/24) (pow.f64 x 3) (.f64 x (*.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (.f64 x (.f64 x -1/24)) (.f64 x x) (.f64 x (*.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (.f64 x x) 1/2 (.f64 (pow.f64 x 4) -1/24))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (.f64 x x) (.f64 x (.f64 x -1/24)) (.f64 x (*.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (.f64 (pow.f64 x 4) -1/24) 1 (.f64 x (*.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (.f64 x (.f64 x 1/2)) 1 (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 1 (.f64 (pow.f64 x 4) -1/24) (.f64 x (*.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 1 (.f64 x (.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) -1/24)) 2) (.f64 x (.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) -1/24)) 2) (cbrt.f64 (.f64 (pow.f64 x 4) -1/24)) (.f64 x (.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 (cbrt.f64 (.f64 x 1/2)) x) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 -1/24 (pow.f64 x 3))) (.f64 x (.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x (.f64 x -1/24))) (.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (.f64 x (.f64 x -1/24)) (pow.f64 (cbrt.f64 x) 2)) (.f64 1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) -1/24) (.f64 x x)) (.f64 1/2 (*.f64 x x)))
(.f64 x (+.f64 (.f64 1/2 x) (.f64 (.f64 (*.f64 x -1/24) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 x (.f64 x 1/2))) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (.f64 (cbrt.f64 (.f64 x (.f64 x -1/24))) (.f64 x x)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (.f64 (.f64 x x) (cbrt.f64 (.f64 x (.f64 x -1/24)))) (.f64 1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (.f64 x (.f64 x (cbrt.f64 (.f64 x (.f64 x -1/24))))) (.f64 1/2 (*.f64 x x)))
(.f64 (.f64 x x) (+.f64 1/2 (.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (.f64 x (.f64 x -1/24))))))
(fma.f64 (pow.f64 x 4) -1/24 (.f64 x (.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (.f64 x (.f64 x (sqrt.f64 -1/24))) (.f64 x (.f64 x (sqrt.f64 -1/24))) (.f64 x (.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (.f64 x 1/2)) x) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 -1/24 (pow.f64 x 3))) (.f64 x (.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (.f64 x (sqrt.f64 -1/24)) (.f64 (.f64 x (sqrt.f64 -1/24)) (.f64 x x)) (.f64 x (.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (.f64 -1/24 (pow.f64 x 3)) x (.f64 x (*.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (.f64 (.f64 x (.f64 x -1/24)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (.f64 x (.f64 x -1/24)) (pow.f64 (cbrt.f64 x) 2)) (.f64 1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) -1/24) (.f64 x x)) (.f64 1/2 (*.f64 x x)))
(.f64 x (+.f64 (.f64 1/2 x) (.f64 (.f64 (*.f64 x -1/24) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 (.f64 (pow.f64 x 4) 1/576))) (cbrt.f64 (.f64 x (.f64 x -1/24))) (.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (.f64 (.f64 x x) (cbrt.f64 (.f64 x (.f64 x -1/24)))) (.f64 1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (.f64 x (.f64 x (cbrt.f64 (.f64 x (.f64 x -1/24))))) (.f64 1/2 (*.f64 x x)))
(.f64 (.f64 x x) (+.f64 1/2 (.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (.f64 x (.f64 x -1/24))))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (sqrt.f64 -1/24))) (.f64 x (sqrt.f64 -1/24)) (.f64 x (.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) 1) x (.f64 x (.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (.f64 (.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/2 x (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))

eval60.0ms (1.2%)

Compiler: Compiled 3097 to 2121 computations (31.5% saved)

prune22.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	174	5	179

Accurracy

100.0%

Counts

179 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.3%	(-.f64 1 (cos.f64 x))
✓	99.9%	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
	99.9%	(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
✓	99.6%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 108 to 67 computations (38% saved)

regimes14.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(-.f64 1 (cos.f64 x))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))

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

Calls

3 calls:

9.0ms	x
2.0ms	(-.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 72 to 44 computations (38.9% saved)

regimes9.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(-.f64 1 (cos.f64 x))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))

Outputs
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))

Calls

3 calls:

4.0ms	x
2.0ms	(-.f64 1 (cos.f64 x))
2.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 1 (cos.f64 x))`
99.9%	1	`(cos.f64 x)`

Compiler

Compiled 55 to 32 computations (41.8% saved)

regimes9.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(-.f64 1 (cos.f64 x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 1 (cos.f64 x))`
99.9%	1	`(cos.f64 x)`

Compiler

Compiled 35 to 21 computations (40% saved)

regimes4.0ms (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:

3.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	104
1	29	104

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(.f64 1/2 (.f64 x x))

Compiler

Compiled 41 to 26 computations (36.6% saved)

soundness666.0ms (13.2%)

Rules

1878×	`fma-def`
1838×	`pow1`
1698×	`add-exp-log`
1698×	`log1p-expm1-u`
1698×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	140	11
2	1691	11
0	93	800
1	231	740
2	679	670
3	3306	670
0	93	800
1	231	740
2	679	670
3	3306	670
0	71	935
1	160	857
2	437	779
3	2079	779
4	5873	779
0	10	34
1	203	34
2	2335	34
0	78	848
1	199	848
2	755	848
3	3107	848
4	7009	848
0	299	7666
1	721	7502
2	2594	7140

Stop Event

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

Compiler

Compiled 715 to 428 computations (40.1% saved)

end99.0ms (2%)

Compiler: Compiled 108 to 66 computations (38.9% saved)

ENA, Section 1.4, Mentioned, A

Details

analyze0.0ms (0%)

sample3.1s (62.1%)

preprocess14.0ms (0.3%)

simplify15.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize141.0ms (2.8%)

series1.0ms (0%)

rewrite56.0ms (1.1%)

simplify54.0ms (1.1%)

eval12.0ms (0.2%)

prune6.0ms (0.1%)

localize60.0ms (1.2%)

series2.0ms (0%)

rewrite57.0ms (1.1%)

simplify57.0ms (1.1%)

eval8.0ms (0.2%)

prune13.0ms (0.3%)

localize33.0ms (0.7%)

series3.0ms (0.1%)

rewrite79.0ms (1.6%)

simplify69.0ms (1.4%)

eval8.0ms (0.2%)

prune8.0ms (0.2%)

localize84.0ms (1.7%)

series5.0ms (0.1%)

rewrite105.0ms (2.1%)

simplify127.0ms (2.5%)

eval60.0ms (1.2%)

prune22.0ms (0.4%)

regimes14.0ms (0.3%)

regimes9.0ms (0.2%)

regimes9.0ms (0.2%)

regimes4.0ms (0.1%)

simplify6.0ms (0.1%)

soundness666.0ms (13.2%)

end99.0ms (2%)

Profiling