Metrics for Hyperbolic secant

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 10 to 8 computations (20% saved)

sample859.0ms (35.6%)

Results

848.0ms

8256×

body

256

valid

Bogosity

preprocess163.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

1556×	`fma-def`
772×	`fabs-mul`
702×	`*-commutative`
562×	`swap-sqr`
446×	`fabs-div`

Problems

256×

No Errors

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	25	75
2	44	75
3	75	75
4	146	75
5	305	75
6	726	75
7	2022	75
8	3001	75
9	4101	75
10	5663	75

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Symmetry

(abs x)

Compiler

Compiled 34 to 16 computations (52.9% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize30.0ms (1.2%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	100.0%	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	100.0%	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 25 to 9 computations (64% saved)

series2.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x	@	inf	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	x	@	0	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	x	@	0	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms	x	@	inf	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite102.0ms (4.2%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

982×	`fma-def`
872×	`div-inv`
822×	`*-commutative`
514×	`flip-+`
388×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	40	22
2	263	22
3	2303	22

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Outputs
-8
-4
-3
-2
-3/2
-1
-1/2
0
1/8
1/4
1/2
3/4
1
3/2
2
3
4
6
8
9
64
x
-8
-4
-3
-2
-3/2
-1
-1/2
0
1/8
1/4
1/2
3/4
1
3/2
2
3
4
6
8
9
64
x

Calls

6 calls:

1.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify80.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

926×	`distribute-rgt-in`
920×	`distribute-lft-in`
704×	`unswap-sqr`
703×	`associate-r`
576×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	1116
1	204	1108
2	695	1096
3	3517	1096

Stop Event

1×	node limit

Counts

88 → 68

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
-8
-4
-3
-2
-3/2
-1
-1/2
0
1/8
1/4
1/2
3/4
1
3/2
2
3
4
6
8
9
64
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1)
(*.f64 1 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (.f64 (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(cbrt.f64 (.f64 (.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(binary32->binary64 (/.f32 2 (+.f32 (exp.f32 (binary64->binary32 x)) (exp.f32 (neg.f32 (binary64->binary32 x))))))
-8
-4
-3
-2
-3/2
-1
-1/2
0
1/8
1/4
1/2
3/4
1
3/2
2
3
4
6
8
9
64
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(*.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(binary32->binary64 (+.f32 (exp.f32 (binary64->binary32 x)) (exp.f32 (neg.f32 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(binary32->binary64 (+.f32 (exp.f32 (binary64->binary32 x)) (exp.f32 (neg.f32 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(binary32->binary64 (/.f32 2 (+.f32 (exp.f32 (binary64->binary32 x)) (exp.f32 (neg.f32 (binary64->binary32 x))))))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 5/24 (pow.f64 x 4) (.f64 -61/720 (pow.f64 x 6)))))
(+.f64 (fma.f64 -61/720 (pow.f64 x 6) (.f64 x (.f64 -1/2 x))) (fma.f64 5/24 (pow.f64 x 4) 1))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (*.f64 x x))
(fma.f64 x x 2)
(+.f64 2 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 2 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(+.f64 2 (fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x)))
(fma.f64 (pow.f64 x 4) 1/12 (fma.f64 x x 2))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))
(+.f64 2 (fma.f64 (pow.f64 x 6) 1/360 (fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x))))
(fma.f64 (pow.f64 x 6) 1/360 (fma.f64 (pow.f64 x 4) 1/12 (fma.f64 x x 2)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
-8
-4
-3
-2
-3/2
-1
-1/2
0
1/8
1/4
1/2
3/4
1
3/2
2
3
4
6
8
9
64
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 1 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 (.f64 (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(cbrt.f64 (.f64 (.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(binary32->binary64 (/.f32 2 (+.f32 (exp.f32 (binary64->binary32 x)) (exp.f32 (neg.f32 (binary64->binary32 x))))))
-8
-4
-3
-2
-3/2
-1
-1/2
0
1/8
1/4
1/2
3/4
1
3/2
2
3
4
6
8
9
64
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(cbrt.f64 (.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(binary32->binary64 (binary64->binary32 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(binary32->binary64 (+.f32 (exp.f32 (binary64->binary32 x)) (exp.f32 (neg.f32 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(binary32->binary64 (+.f32 (exp.f32 (binary64->binary32 x)) (exp.f32 (neg.f32 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(binary32->binary64 (/.f32 2 (+.f32 (exp.f32 (binary64->binary32 x)) (exp.f32 (neg.f32 (binary64->binary32 x))))))

eval16.0ms (0.7%)

Compiler: Compiled 623 to 346 computations (44.5% saved)

prune12.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	5	69

Accuracy

100.0%

Counts

69 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	77.7%	(/.f64 2 (+.f64 2 (*.f64 x x)))
▶	50.6%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	50.7%	1
	51.2%	0
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	77.7%	(/.f64 2 (+.f64 2 (*.f64 x x)))
▶	50.6%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	50.7%	1
	51.2%	0

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize38.0ms (1.6%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
	99.2%	(/.f64 2 (+.f64 2 (*.f64 x x)))
	100.0%	(.f64 -1/2 (.f64 x x))
✓	99.2%	(/.f64 2 (+.f64 2 (*.f64 x x)))
✓	100.0%	(.f64 -1/2 (.f64 x x))

Compiler

Compiled 37 to 18 computations (51.4% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite98.0ms (4.1%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1504×	`associate-l`
1072×	`associate-/l/`
864×	`associate-/r*`
842×	`fma-def`
716×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	39	28
2	215	28
3	1695	28

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

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

Outputs
(+.f64 (.f64 4 (/.f64 2 (+.f64 8 (pow.f64 x 6)))) (.f64 (.f64 x (.f64 x (fma.f64 x x -2))) (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 x x -2))) (/.f64 2 (+.f64 8 (pow.f64 x 6)))) (.f64 4 (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(+.f64 (.f64 2 (/.f64 2 (-.f64 4 (pow.f64 x 4)))) (.f64 (*.f64 x (neg.f64 x)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(+.f64 (.f64 (.f64 x (neg.f64 x)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))) (*.f64 2 (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(*.f64 2 (/.f64 1 (fma.f64 x x 2)))
(*.f64 (/.f64 2 (fma.f64 x x 2)) 1)
(.f64 (-.f64 4 (pow.f64 x 4)) (.f64 (/.f64 1 (fma.f64 x x 2)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(*.f64 (neg.f64 (fma.f64 x x -2)) (/.f64 2 (-.f64 4 (pow.f64 x 4))))
(*.f64 1 (/.f64 2 (fma.f64 x x 2)))
(*.f64 (/.f64 1 (fma.f64 x x 2)) 2)
(.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (/.f64 2 (+.f64 8 (pow.f64 x 6))))
(*.f64 -2 (/.f64 -1 (fma.f64 x x 2)))
(.f64 (-.f64 8 (pow.f64 x 6)) (.f64 (/.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x x 2) 4)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(*.f64 (fma.f64 x x -2) (/.f64 2 (+.f64 (pow.f64 x 4) -4)))
(.f64 (-.f64 16 (pow.f64 (.f64 x (.f64 x (fma.f64 x x -2))) 2)) (.f64 (/.f64 1 (-.f64 4 (.f64 x (.f64 x (fma.f64 x x -2))))) (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(.f64 -1 (/.f64 1 (.f64 -1/2 (fma.f64 x x 2))))
(.f64 -1 (.f64 (/.f64 1 (*.f64 -1/2 (fma.f64 x x 2))) 1))
(.f64 -1 (.f64 (/.f64 -1 (fma.f64 x x 2)) 2))
(*.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (neg.f64 (fma.f64 x x -2)))
(.f64 (/.f64 2 (+.f64 8 (pow.f64 x 6))) (fma.f64 x (.f64 x (fma.f64 x x -2)) 4))
(.f64 (/.f64 1 (-.f64 4 (pow.f64 x 4))) (fma.f64 (.f64 x x) -2 4))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 x 6))) (.f64 2 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4)))
(.f64 (.f64 2 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4)) (/.f64 1 (+.f64 8 (pow.f64 x 6))))
(*.f64 (/.f64 -1 (fma.f64 x x 2)) -2)
(.f64 (fma.f64 (.f64 x x) -2 4) (/.f64 1 (-.f64 4 (pow.f64 x 4))))
(.f64 (fma.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -2) 3) 64) (.f64 (/.f64 1 (fma.f64 (.f64 x (.f64 x (fma.f64 x x -2))) (fma.f64 x (*.f64 x (fma.f64 x x -2)) -4) 16)) (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(.f64 (-.f64 -4 (.f64 x (*.f64 x (fma.f64 x x -2)))) (/.f64 2 (-.f64 -8 (pow.f64 x 6))))
(.f64 (/.f64 (-.f64 4 (pow.f64 x 4)) (+.f64 8 (pow.f64 x 6))) (.f64 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(.f64 (/.f64 1 (-.f64 16 (pow.f64 x 8))) (.f64 (+.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) -2 4)))
(.f64 (/.f64 1 (-.f64 64 (pow.f64 x 12))) (.f64 (fma.f64 (*.f64 x x) -2 4) (fma.f64 (pow.f64 x 4) (+.f64 4 (pow.f64 x 4)) 16)))
(.f64 (/.f64 1 (-.f64 64 (pow.f64 x 12))) (.f64 2 (.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (-.f64 8 (pow.f64 x 6)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -4)) (.f64 2 (fma.f64 x x -2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -4)) (.f64 (neg.f64 (fma.f64 x x -2)) -2))
(.f64 (/.f64 -1 (+.f64 8 (pow.f64 x 6))) (.f64 2 (-.f64 -4 (.f64 x (.f64 x (fma.f64 x x -2))))))
(.f64 (/.f64 -1 (+.f64 8 (pow.f64 x 6))) (.f64 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4) -2))
(*.f64 (/.f64 2 (+.f64 (pow.f64 x 4) -4)) (fma.f64 x x -2))
(.f64 (/.f64 2 (-.f64 -8 (pow.f64 x 6))) (-.f64 -4 (.f64 x (*.f64 x (fma.f64 x x -2)))))
(.f64 (/.f64 (-.f64 4 (pow.f64 x 4)) (+.f64 (pow.f64 x 4) -4)) (.f64 (fma.f64 x x -2) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(.f64 (/.f64 (-.f64 4 (pow.f64 x 4)) (-.f64 -8 (pow.f64 x 6))) (.f64 (-.f64 -4 (.f64 x (.f64 x (fma.f64 x x -2)))) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(.f64 (/.f64 (neg.f64 (fma.f64 x x -2)) (-.f64 16 (pow.f64 x 8))) (.f64 (+.f64 4 (pow.f64 x 4)) 2))
(.f64 (/.f64 (neg.f64 (fma.f64 x x -2)) (-.f64 64 (pow.f64 x 12))) (.f64 (fma.f64 (pow.f64 x 4) (+.f64 4 (pow.f64 x 4)) 16) 2))
(.f64 (/.f64 1 (+.f64 512 (pow.f64 x 18))) (.f64 2 (.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (fma.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 6) -8) 64))))
(.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (-.f64 64 (pow.f64 x 12))) (*.f64 2 (-.f64 8 (pow.f64 x 6))))
(.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (+.f64 512 (pow.f64 x 18))) (*.f64 (fma.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 6) -8) 64) 2))
(.f64 (/.f64 2 (+.f64 512 (pow.f64 x 18))) (.f64 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4) (fma.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 6) -8) 64)))
(.f64 (/.f64 2 (-.f64 16 (pow.f64 x 8))) (.f64 (neg.f64 (fma.f64 x x -2)) (+.f64 4 (pow.f64 x 4))))
(.f64 (/.f64 2 (-.f64 64 (pow.f64 x 12))) (.f64 (neg.f64 (fma.f64 x x -2)) (fma.f64 (pow.f64 x 4) (+.f64 4 (pow.f64 x 4)) 16)))
(.f64 (/.f64 2 (-.f64 64 (pow.f64 x 12))) (.f64 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4) (-.f64 8 (pow.f64 x 6))))
(.f64 (/.f64 1 (.f64 -1/2 (fma.f64 x x 2))) -1)
(.f64 (pow.f64 (fma.f64 x x 2) -1/2) (.f64 (pow.f64 (fma.f64 x x 2) -1/2) 2))
(.f64 (pow.f64 (.f64 (fma.f64 x x 2) 1/2) -1/2) (pow.f64 (*.f64 (fma.f64 x x 2) 1/2) -1/2))
(.f64 (pow.f64 (.f64 (fma.f64 x x 2) 1/2) -1/2) (.f64 (pow.f64 (.f64 (fma.f64 x x 2) 1/2) -1/2) 1))
(pow.f64 (*.f64 (fma.f64 x x 2) 1/2) -1)
(pow.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 x x 2) 1/2))) -1)
(neg.f64 (/.f64 1 (*.f64 -1/2 (fma.f64 x x 2))))
(exp.f64 (.f64 -1 (log.f64 (.f64 (fma.f64 x x 2) 1/2))))
(fma.f64 2 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (.f64 (.f64 x (neg.f64 x)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(fma.f64 4 (/.f64 2 (+.f64 8 (pow.f64 x 6))) (.f64 (.f64 x (*.f64 x (fma.f64 x x -2))) (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(fma.f64 (.f64 x (.f64 x (fma.f64 x x -2))) (/.f64 2 (+.f64 8 (pow.f64 x 6))) (*.f64 4 (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(fma.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) 2 (.f64 (.f64 x (neg.f64 x)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(fma.f64 (/.f64 2 (+.f64 8 (pow.f64 x 6))) 4 (.f64 (.f64 x (*.f64 x (fma.f64 x x -2))) (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(fma.f64 (/.f64 2 (+.f64 8 (pow.f64 x 6))) (.f64 x (.f64 x (fma.f64 x x -2))) (*.f64 4 (/.f64 2 (+.f64 8 (pow.f64 x 6)))))

Calls

6 calls:

1.0ms	(.f64 -1/2 (.f64 x x))
0.0ms	(.f64 -1/2 (.f64 x x))
0.0ms	(/.f64 2 (+.f64 2 (*.f64 x x)))
0.0ms	(.f64 -1/2 (.f64 x x))
0.0ms	(/.f64 2 (+.f64 2 (*.f64 x x)))

simplify95.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1368×	`distribute-rgt-in`
1340×	`distribute-lft-in`
1151×	`fma-def`
770×	`associate-*r/`
676×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	3864
1	711	3698
2	2428	3682

Stop Event

1×	node limit

Counts

116 → 154

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))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/4 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 2 (pow.f64 x 2))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8)))))
(/.f64 2 (pow.f64 x 2))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8)))))
(log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 x x))))
(expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))
(.f64 (sqrt.f64 (.f64 -1/2 (.f64 x x))) (sqrt.f64 (.f64 -1/2 (*.f64 x x))))
(pow.f64 (.f64 -1/2 (.f64 x x)) 1)
(.f64 1 (.f64 -1/2 (*.f64 x x)))
(.f64 (.f64 (cbrt.f64 (.f64 -1/2 (.f64 x x))) (cbrt.f64 (.f64 -1/2 (.f64 x x)))) (cbrt.f64 (.f64 -1/2 (.f64 x x))))
(cbrt.f64 (.f64 (.f64 (.f64 -1/2 (.f64 x x)) (.f64 -1/2 (.f64 x x))) (.f64 -1/2 (.f64 x x))))
(exp.f64 (log.f64 (.f64 -1/2 (.f64 x x))))
(log.f64 (exp.f64 (.f64 -1/2 (.f64 x x))))
(binary32->binary64 (binary64->binary32 (.f64 -1/2 (.f64 x x))))
(binary32->binary64 (binary64->binary32 (.f64 -1/2 (.f64 x x))))
(binary32->binary64 (.f32 -1/2 (.f32 (binary64->binary32 x) (binary64->binary32 x))))
(+.f64 (.f64 4 (/.f64 2 (+.f64 8 (pow.f64 x 6)))) (.f64 (.f64 x (.f64 x (fma.f64 x x -2))) (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 x x -2))) (/.f64 2 (+.f64 8 (pow.f64 x 6)))) (.f64 4 (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(+.f64 (.f64 2 (/.f64 2 (-.f64 4 (pow.f64 x 4)))) (.f64 (*.f64 x (neg.f64 x)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(+.f64 (.f64 (.f64 x (neg.f64 x)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))) (*.f64 2 (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(*.f64 2 (/.f64 1 (fma.f64 x x 2)))
(*.f64 (/.f64 2 (fma.f64 x x 2)) 1)
(.f64 (-.f64 4 (pow.f64 x 4)) (.f64 (/.f64 1 (fma.f64 x x 2)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(*.f64 (neg.f64 (fma.f64 x x -2)) (/.f64 2 (-.f64 4 (pow.f64 x 4))))
(*.f64 1 (/.f64 2 (fma.f64 x x 2)))
(*.f64 (/.f64 1 (fma.f64 x x 2)) 2)
(.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (/.f64 2 (+.f64 8 (pow.f64 x 6))))
(*.f64 -2 (/.f64 -1 (fma.f64 x x 2)))
(.f64 (-.f64 8 (pow.f64 x 6)) (.f64 (/.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x x 2) 4)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(*.f64 (fma.f64 x x -2) (/.f64 2 (+.f64 (pow.f64 x 4) -4)))
(.f64 (-.f64 16 (pow.f64 (.f64 x (.f64 x (fma.f64 x x -2))) 2)) (.f64 (/.f64 1 (-.f64 4 (.f64 x (.f64 x (fma.f64 x x -2))))) (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(.f64 -1 (/.f64 1 (.f64 -1/2 (fma.f64 x x 2))))
(.f64 -1 (.f64 (/.f64 1 (*.f64 -1/2 (fma.f64 x x 2))) 1))
(.f64 -1 (.f64 (/.f64 -1 (fma.f64 x x 2)) 2))
(*.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (neg.f64 (fma.f64 x x -2)))
(.f64 (/.f64 2 (+.f64 8 (pow.f64 x 6))) (fma.f64 x (.f64 x (fma.f64 x x -2)) 4))
(.f64 (/.f64 1 (-.f64 4 (pow.f64 x 4))) (fma.f64 (.f64 x x) -2 4))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 x 6))) (.f64 2 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4)))
(.f64 (.f64 2 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4)) (/.f64 1 (+.f64 8 (pow.f64 x 6))))
(*.f64 (/.f64 -1 (fma.f64 x x 2)) -2)
(.f64 (fma.f64 (.f64 x x) -2 4) (/.f64 1 (-.f64 4 (pow.f64 x 4))))
(.f64 (fma.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -2) 3) 64) (.f64 (/.f64 1 (fma.f64 (.f64 x (.f64 x (fma.f64 x x -2))) (fma.f64 x (*.f64 x (fma.f64 x x -2)) -4) 16)) (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(.f64 (-.f64 -4 (.f64 x (*.f64 x (fma.f64 x x -2)))) (/.f64 2 (-.f64 -8 (pow.f64 x 6))))
(.f64 (/.f64 (-.f64 4 (pow.f64 x 4)) (+.f64 8 (pow.f64 x 6))) (.f64 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(.f64 (/.f64 1 (-.f64 16 (pow.f64 x 8))) (.f64 (+.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) -2 4)))
(.f64 (/.f64 1 (-.f64 64 (pow.f64 x 12))) (.f64 (fma.f64 (*.f64 x x) -2 4) (fma.f64 (pow.f64 x 4) (+.f64 4 (pow.f64 x 4)) 16)))
(.f64 (/.f64 1 (-.f64 64 (pow.f64 x 12))) (.f64 2 (.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (-.f64 8 (pow.f64 x 6)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -4)) (.f64 2 (fma.f64 x x -2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -4)) (.f64 (neg.f64 (fma.f64 x x -2)) -2))
(.f64 (/.f64 -1 (+.f64 8 (pow.f64 x 6))) (.f64 2 (-.f64 -4 (.f64 x (.f64 x (fma.f64 x x -2))))))
(.f64 (/.f64 -1 (+.f64 8 (pow.f64 x 6))) (.f64 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4) -2))
(*.f64 (/.f64 2 (+.f64 (pow.f64 x 4) -4)) (fma.f64 x x -2))
(.f64 (/.f64 2 (-.f64 -8 (pow.f64 x 6))) (-.f64 -4 (.f64 x (*.f64 x (fma.f64 x x -2)))))
(.f64 (/.f64 (-.f64 4 (pow.f64 x 4)) (+.f64 (pow.f64 x 4) -4)) (.f64 (fma.f64 x x -2) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(.f64 (/.f64 (-.f64 4 (pow.f64 x 4)) (-.f64 -8 (pow.f64 x 6))) (.f64 (-.f64 -4 (.f64 x (.f64 x (fma.f64 x x -2)))) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(.f64 (/.f64 (neg.f64 (fma.f64 x x -2)) (-.f64 16 (pow.f64 x 8))) (.f64 (+.f64 4 (pow.f64 x 4)) 2))
(.f64 (/.f64 (neg.f64 (fma.f64 x x -2)) (-.f64 64 (pow.f64 x 12))) (.f64 (fma.f64 (pow.f64 x 4) (+.f64 4 (pow.f64 x 4)) 16) 2))
(.f64 (/.f64 1 (+.f64 512 (pow.f64 x 18))) (.f64 2 (.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (fma.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 6) -8) 64))))
(.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (-.f64 64 (pow.f64 x 12))) (*.f64 2 (-.f64 8 (pow.f64 x 6))))
(.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (+.f64 512 (pow.f64 x 18))) (*.f64 (fma.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 6) -8) 64) 2))
(.f64 (/.f64 2 (+.f64 512 (pow.f64 x 18))) (.f64 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4) (fma.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 6) -8) 64)))
(.f64 (/.f64 2 (-.f64 16 (pow.f64 x 8))) (.f64 (neg.f64 (fma.f64 x x -2)) (+.f64 4 (pow.f64 x 4))))
(.f64 (/.f64 2 (-.f64 64 (pow.f64 x 12))) (.f64 (neg.f64 (fma.f64 x x -2)) (fma.f64 (pow.f64 x 4) (+.f64 4 (pow.f64 x 4)) 16)))
(.f64 (/.f64 2 (-.f64 64 (pow.f64 x 12))) (.f64 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4) (-.f64 8 (pow.f64 x 6))))
(.f64 (/.f64 1 (.f64 -1/2 (fma.f64 x x 2))) -1)
(.f64 (pow.f64 (fma.f64 x x 2) -1/2) (.f64 (pow.f64 (fma.f64 x x 2) -1/2) 2))
(.f64 (pow.f64 (.f64 (fma.f64 x x 2) 1/2) -1/2) (pow.f64 (*.f64 (fma.f64 x x 2) 1/2) -1/2))
(.f64 (pow.f64 (.f64 (fma.f64 x x 2) 1/2) -1/2) (.f64 (pow.f64 (.f64 (fma.f64 x x 2) 1/2) -1/2) 1))
(pow.f64 (*.f64 (fma.f64 x x 2) 1/2) -1)
(pow.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 x x 2) 1/2))) -1)
(neg.f64 (/.f64 1 (*.f64 -1/2 (fma.f64 x x 2))))
(exp.f64 (.f64 -1 (log.f64 (.f64 (fma.f64 x x 2) 1/2))))
(fma.f64 2 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (.f64 (.f64 x (neg.f64 x)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(fma.f64 4 (/.f64 2 (+.f64 8 (pow.f64 x 6))) (.f64 (.f64 x (*.f64 x (fma.f64 x x -2))) (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(fma.f64 (.f64 x (.f64 x (fma.f64 x x -2))) (/.f64 2 (+.f64 8 (pow.f64 x 6))) (*.f64 4 (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(fma.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) 2 (.f64 (.f64 x (neg.f64 x)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(fma.f64 (/.f64 2 (+.f64 8 (pow.f64 x 6))) 4 (.f64 (.f64 x (*.f64 x (fma.f64 x x -2))) (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(fma.f64 (/.f64 2 (+.f64 8 (pow.f64 x 6))) (.f64 x (.f64 x (fma.f64 x x -2))) (*.f64 4 (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (.f64 x x)))) (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(pow.f64 (/.f64 2 (+.f64 2 (*.f64 x x))) 1)
(.f64 1 (/.f64 2 (+.f64 2 (.f64 x x))))
(.f64 (.f64 (cbrt.f64 (/.f64 2 (+.f64 2 (.f64 x x)))) (cbrt.f64 (/.f64 2 (+.f64 2 (.f64 x x))))) (cbrt.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(cbrt.f64 (.f64 (.f64 (/.f64 2 (+.f64 2 (.f64 x x))) (/.f64 2 (+.f64 2 (.f64 x x)))) (/.f64 2 (+.f64 2 (*.f64 x x)))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(log.f64 (exp.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (/.f32 2 (+.f32 2 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (.f64 -1/2 (.f64 x x))))
(binary32->binary64 (binary64->binary32 (.f64 -1/2 (.f64 x x))))
(binary32->binary64 (.f32 -1/2 (.f32 (binary64->binary32 x) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (/.f32 2 (+.f32 2 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))))

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))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 (*.f64 -1/2 x) x 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/4 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 1/4 (pow.f64 x 4))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/4 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/8 (pow.f64 x 6) (.f64 1/4 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/4 (pow.f64 x 4) (.f64 -1/8 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 1/4 (pow.f64 x 4) (fma.f64 -1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 6)))))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4)))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -4 (pow.f64 x 4)))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -4 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 6))) (/.f64 4 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 8 (pow.f64 x 6))) (/.f64 -4 (pow.f64 x 4)))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 6)) (/.f64 -4 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8)))))
(-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 16 (pow.f64 x 8))))
(+.f64 (/.f64 8 (pow.f64 x 6)) (-.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 16 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -4 (pow.f64 x 4))) (+.f64 (/.f64 8 (pow.f64 x 6)) (/.f64 -16 (pow.f64 x 8))))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4)))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -4 (pow.f64 x 4)))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -4 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 6))) (/.f64 4 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 8 (pow.f64 x 6))) (/.f64 -4 (pow.f64 x 4)))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 6)) (/.f64 -4 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8)))))
(-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 16 (pow.f64 x 8))))
(+.f64 (/.f64 8 (pow.f64 x 6)) (-.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 16 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -4 (pow.f64 x 4))) (+.f64 (/.f64 8 (pow.f64 x 6)) (/.f64 -16 (pow.f64 x 8))))
(log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 x x))))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(.f64 (sqrt.f64 (.f64 -1/2 (.f64 x x))) (sqrt.f64 (.f64 -1/2 (*.f64 x x))))
(.f64 -1/2 (.f64 x x))
(.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))
(.f64 1 (.f64 -1/2 (*.f64 x x)))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(.f64 (.f64 (cbrt.f64 (.f64 -1/2 (.f64 x x))) (cbrt.f64 (.f64 -1/2 (.f64 x x)))) (cbrt.f64 (.f64 -1/2 (.f64 x x))))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(cbrt.f64 (.f64 (.f64 (.f64 -1/2 (.f64 x x)) (.f64 -1/2 (.f64 x x))) (.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))
(log.f64 (exp.f64 (.f64 -1/2 (.f64 x x))))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(binary32->binary64 (binary64->binary32 (.f64 -1/2 (.f64 x x))))
(binary32->binary64 (binary64->binary32 (.f64 x (.f64 -1/2 x))))
(binary32->binary64 (binary64->binary32 (.f64 -1/2 (.f64 x x))))
(binary32->binary64 (binary64->binary32 (.f64 x (.f64 -1/2 x))))
(binary32->binary64 (.f32 -1/2 (.f32 (binary64->binary32 x) (binary64->binary32 x))))
(+.f64 (.f64 4 (/.f64 2 (+.f64 8 (pow.f64 x 6)))) (.f64 (.f64 x (.f64 x (fma.f64 x x -2))) (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 x (.f64 x (fma.f64 x x -2)) 4))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 2 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (+.f64 (pow.f64 x 6) 8)))
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 x x -2))) (/.f64 2 (+.f64 8 (pow.f64 x 6)))) (.f64 4 (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 x (.f64 x (fma.f64 x x -2)) 4))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 2 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (+.f64 (pow.f64 x 6) 8)))
(+.f64 (.f64 2 (/.f64 2 (-.f64 4 (pow.f64 x 4)))) (.f64 (*.f64 x (neg.f64 x)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (+.f64 (.f64 x (neg.f64 x)) 2))
(/.f64 (*.f64 -2 (fma.f64 x x -2)) (-.f64 4 (pow.f64 x 4)))
(*.f64 (/.f64 -2 (-.f64 4 (pow.f64 x 4))) (fma.f64 x x -2))
(+.f64 (.f64 (.f64 x (neg.f64 x)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))) (*.f64 2 (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (+.f64 (.f64 x (neg.f64 x)) 2))
(/.f64 (*.f64 -2 (fma.f64 x x -2)) (-.f64 4 (pow.f64 x 4)))
(*.f64 (/.f64 -2 (-.f64 4 (pow.f64 x 4))) (fma.f64 x x -2))
(*.f64 2 (/.f64 1 (fma.f64 x x 2)))
(/.f64 2 (fma.f64 x x 2))
(*.f64 (/.f64 2 (fma.f64 x x 2)) 1)
(/.f64 2 (fma.f64 x x 2))
(.f64 (-.f64 4 (pow.f64 x 4)) (.f64 (/.f64 1 (fma.f64 x x 2)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(*.f64 (-.f64 4 (pow.f64 x 4)) (/.f64 (/.f64 2 (fma.f64 x x 2)) (-.f64 4 (pow.f64 x 4))))
(.f64 (-.f64 4 (pow.f64 x 4)) (/.f64 2 (.f64 (-.f64 4 (pow.f64 x 4)) (fma.f64 x x 2))))
(/.f64 (/.f64 (*.f64 2 (-.f64 4 (pow.f64 x 4))) (-.f64 4 (pow.f64 x 4))) (fma.f64 x x 2))
(*.f64 (neg.f64 (fma.f64 x x -2)) (/.f64 2 (-.f64 4 (pow.f64 x 4))))
(.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (+.f64 (.f64 x (neg.f64 x)) 2))
(/.f64 (*.f64 -2 (fma.f64 x x -2)) (-.f64 4 (pow.f64 x 4)))
(*.f64 (/.f64 -2 (-.f64 4 (pow.f64 x 4))) (fma.f64 x x -2))
(*.f64 1 (/.f64 2 (fma.f64 x x 2)))
(/.f64 2 (fma.f64 x x 2))
(*.f64 (/.f64 1 (fma.f64 x x 2)) 2)
(/.f64 2 (fma.f64 x x 2))
(.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (/.f64 2 (+.f64 8 (pow.f64 x 6))))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 x (.f64 x (fma.f64 x x -2)) 4))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 2 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (+.f64 (pow.f64 x 6) 8)))
(*.f64 -2 (/.f64 -1 (fma.f64 x x 2)))
(/.f64 2 (fma.f64 x x 2))
(.f64 (-.f64 8 (pow.f64 x 6)) (.f64 (/.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x x 2) 4)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(.f64 (-.f64 8 (pow.f64 x 6)) (.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (/.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x x 2) 4))))
(.f64 (-.f64 8 (pow.f64 x 6)) (/.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (fma.f64 (.f64 x x) (fma.f64 x x 2) 4)))
(/.f64 (-.f64 8 (pow.f64 x 6)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x 2)) 4) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(*.f64 (fma.f64 x x -2) (/.f64 2 (+.f64 (pow.f64 x 4) -4)))
(.f64 (-.f64 16 (pow.f64 (.f64 x (.f64 x (fma.f64 x x -2))) 2)) (.f64 (/.f64 1 (-.f64 4 (.f64 x (.f64 x (fma.f64 x x -2))))) (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(.f64 (-.f64 16 (pow.f64 (.f64 x (.f64 x (fma.f64 x x -2))) 2)) (.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (/.f64 1 (-.f64 4 (.f64 x (.f64 x (fma.f64 x x -2)))))))
(.f64 (-.f64 16 (pow.f64 (.f64 x (.f64 x (fma.f64 x x -2))) 2)) (/.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (-.f64 4 (.f64 x (*.f64 x (fma.f64 x x -2))))))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (/.f64 (-.f64 16 (pow.f64 (.f64 (.f64 x x) (fma.f64 x x -2)) 2)) (fma.f64 (.f64 x x) (-.f64 2 (*.f64 x x)) 4)))
(.f64 -1 (/.f64 1 (.f64 -1/2 (fma.f64 x x 2))))
(/.f64 2 (fma.f64 x x 2))
(.f64 -1 (.f64 (/.f64 1 (*.f64 -1/2 (fma.f64 x x 2))) 1))
(/.f64 2 (fma.f64 x x 2))
(.f64 -1 (.f64 (/.f64 -1 (fma.f64 x x 2)) 2))
(/.f64 2 (fma.f64 x x 2))
(*.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (neg.f64 (fma.f64 x x -2)))
(.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (+.f64 (.f64 x (neg.f64 x)) 2))
(/.f64 (*.f64 -2 (fma.f64 x x -2)) (-.f64 4 (pow.f64 x 4)))
(*.f64 (/.f64 -2 (-.f64 4 (pow.f64 x 4))) (fma.f64 x x -2))
(.f64 (/.f64 2 (+.f64 8 (pow.f64 x 6))) (fma.f64 x (.f64 x (fma.f64 x x -2)) 4))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 x (.f64 x (fma.f64 x x -2)) 4))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 2 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (+.f64 (pow.f64 x 6) 8)))
(.f64 (/.f64 1 (-.f64 4 (pow.f64 x 4))) (fma.f64 (.f64 x x) -2 4))
(.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (+.f64 (.f64 x (neg.f64 x)) 2))
(/.f64 (*.f64 -2 (fma.f64 x x -2)) (-.f64 4 (pow.f64 x 4)))
(*.f64 (/.f64 -2 (-.f64 4 (pow.f64 x 4))) (fma.f64 x x -2))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 x 6))) (.f64 2 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4)))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 x (.f64 x (fma.f64 x x -2)) 4))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 2 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (+.f64 (pow.f64 x 6) 8)))
(.f64 (.f64 2 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4)) (/.f64 1 (+.f64 8 (pow.f64 x 6))))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 x (.f64 x (fma.f64 x x -2)) 4))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 2 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (+.f64 (pow.f64 x 6) 8)))
(*.f64 (/.f64 -1 (fma.f64 x x 2)) -2)
(/.f64 2 (fma.f64 x x 2))
(.f64 (fma.f64 (.f64 x x) -2 4) (/.f64 1 (-.f64 4 (pow.f64 x 4))))
(.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (+.f64 (.f64 x (neg.f64 x)) 2))
(/.f64 (*.f64 -2 (fma.f64 x x -2)) (-.f64 4 (pow.f64 x 4)))
(*.f64 (/.f64 -2 (-.f64 4 (pow.f64 x 4))) (fma.f64 x x -2))
(.f64 (fma.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -2) 3) 64) (.f64 (/.f64 1 (fma.f64 (.f64 x (.f64 x (fma.f64 x x -2))) (fma.f64 x (*.f64 x (fma.f64 x x -2)) -4) 16)) (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(.f64 (fma.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -2) 3) 64) (.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (/.f64 1 (fma.f64 (.f64 x (.f64 x (fma.f64 x x -2))) (fma.f64 x (*.f64 x (fma.f64 x x -2)) -4) 16))))
(.f64 (fma.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -2) 3) 64) (/.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x (.f64 x (fma.f64 x x -2))) (fma.f64 x (.f64 x (fma.f64 x x -2)) -4) 16)))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (/.f64 (fma.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -2) 3) 64) (fma.f64 (.f64 x x) (.f64 (fma.f64 x x -2) (fma.f64 (.f64 x x) (fma.f64 x x -2) -4)) 16)))
(.f64 (-.f64 -4 (.f64 x (*.f64 x (fma.f64 x x -2)))) (/.f64 2 (-.f64 -8 (pow.f64 x 6))))
(.f64 (-.f64 -4 (.f64 (*.f64 x x) (fma.f64 x x -2))) (/.f64 2 (-.f64 -8 (pow.f64 x 6))))
(.f64 (/.f64 (-.f64 4 (pow.f64 x 4)) (+.f64 8 (pow.f64 x 6))) (.f64 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(.f64 (/.f64 (-.f64 4 (pow.f64 x 4)) (+.f64 (pow.f64 x 6) 8)) (.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4)))
(.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (/.f64 (.f64 (-.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) (fma.f64 x x -2) 4)) (+.f64 (pow.f64 x 6) 8)))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (/.f64 (/.f64 (*.f64 2 (-.f64 4 (pow.f64 x 4))) (-.f64 4 (pow.f64 x 4))) (+.f64 (pow.f64 x 6) 8)))
(.f64 (/.f64 1 (-.f64 16 (pow.f64 x 8))) (.f64 (+.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) -2 4)))
(.f64 (/.f64 1 (-.f64 16 (pow.f64 x 8))) (.f64 (fma.f64 (*.f64 x x) -2 4) (+.f64 4 (pow.f64 x 4))))
(/.f64 (.f64 (fma.f64 (.f64 x x) -2 4) (+.f64 4 (pow.f64 x 4))) (-.f64 16 (pow.f64 x 8)))
(.f64 (-.f64 2 (.f64 x x)) (/.f64 (fma.f64 2 (pow.f64 x 4) 8) (-.f64 16 (pow.f64 x 8))))
(.f64 (/.f64 1 (-.f64 64 (pow.f64 x 12))) (.f64 (fma.f64 (*.f64 x x) -2 4) (fma.f64 (pow.f64 x 4) (+.f64 4 (pow.f64 x 4)) 16)))
(.f64 (fma.f64 (pow.f64 x 4) (+.f64 4 (pow.f64 x 4)) 16) (/.f64 (fma.f64 (.f64 x x) -2 4) (-.f64 64 (pow.f64 x 12))))
(.f64 (-.f64 2 (.f64 x x)) (/.f64 (fma.f64 2 (fma.f64 4 (pow.f64 x 4) (pow.f64 x 8)) 32) (-.f64 64 (pow.f64 x 12))))
(.f64 (/.f64 1 (-.f64 64 (pow.f64 x 12))) (.f64 2 (.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (-.f64 8 (pow.f64 x 6)))))
(.f64 (-.f64 8 (pow.f64 x 6)) (.f64 (fma.f64 (*.f64 x x) (fma.f64 x x -2) 4) (/.f64 2 (-.f64 64 (pow.f64 x 12)))))
(.f64 2 (/.f64 (.f64 (fma.f64 (*.f64 x x) (fma.f64 x x -2) 4) (-.f64 8 (pow.f64 x 6))) (-.f64 64 (pow.f64 x 12))))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -4)) (.f64 2 (fma.f64 x x -2)))
(*.f64 (fma.f64 x x -2) (/.f64 2 (+.f64 (pow.f64 x 4) -4)))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -4)) (.f64 (neg.f64 (fma.f64 x x -2)) -2))
(*.f64 (fma.f64 x x -2) (/.f64 2 (+.f64 (pow.f64 x 4) -4)))
(.f64 (/.f64 -1 (+.f64 8 (pow.f64 x 6))) (.f64 2 (-.f64 -4 (.f64 x (.f64 x (fma.f64 x x -2))))))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 x (.f64 x (fma.f64 x x -2)) 4))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 2 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (+.f64 (pow.f64 x 6) 8)))
(.f64 (/.f64 -1 (+.f64 8 (pow.f64 x 6))) (.f64 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4) -2))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 x (.f64 x (fma.f64 x x -2)) 4))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 2 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (+.f64 (pow.f64 x 6) 8)))
(*.f64 (/.f64 2 (+.f64 (pow.f64 x 4) -4)) (fma.f64 x x -2))
(*.f64 (fma.f64 x x -2) (/.f64 2 (+.f64 (pow.f64 x 4) -4)))
(.f64 (/.f64 2 (-.f64 -8 (pow.f64 x 6))) (-.f64 -4 (.f64 x (*.f64 x (fma.f64 x x -2)))))
(.f64 (-.f64 -4 (.f64 x (*.f64 x (fma.f64 x x -2)))) (/.f64 2 (-.f64 -8 (pow.f64 x 6))))
(.f64 (-.f64 -4 (.f64 (*.f64 x x) (fma.f64 x x -2))) (/.f64 2 (-.f64 -8 (pow.f64 x 6))))
(.f64 (/.f64 (-.f64 4 (pow.f64 x 4)) (+.f64 (pow.f64 x 4) -4)) (.f64 (fma.f64 x x -2) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(/.f64 (.f64 (.f64 (-.f64 4 (pow.f64 x 4)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))) (fma.f64 x x -2)) (+.f64 (pow.f64 x 4) -4))
(.f64 (fma.f64 x x -2) (/.f64 (/.f64 (.f64 2 (-.f64 4 (pow.f64 x 4))) (-.f64 4 (pow.f64 x 4))) (+.f64 (pow.f64 x 4) -4)))
(.f64 (/.f64 (-.f64 4 (pow.f64 x 4)) (-.f64 -8 (pow.f64 x 6))) (.f64 (-.f64 -4 (.f64 x (.f64 x (fma.f64 x x -2)))) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(.f64 (/.f64 (-.f64 4 (pow.f64 x 4)) (-.f64 -8 (pow.f64 x 6))) (.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (-.f64 -4 (.f64 x (.f64 x (fma.f64 x x -2))))))
(.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (.f64 (-.f64 -4 (.f64 x (.f64 x (fma.f64 x x -2)))) (/.f64 (-.f64 4 (pow.f64 x 4)) (-.f64 -8 (pow.f64 x 6)))))
(.f64 (-.f64 -4 (.f64 (.f64 x x) (fma.f64 x x -2))) (/.f64 (/.f64 (.f64 2 (-.f64 4 (pow.f64 x 4))) (-.f64 4 (pow.f64 x 4))) (-.f64 -8 (pow.f64 x 6))))
(.f64 (/.f64 (neg.f64 (fma.f64 x x -2)) (-.f64 16 (pow.f64 x 8))) (.f64 (+.f64 4 (pow.f64 x 4)) 2))
(.f64 (/.f64 1 (-.f64 16 (pow.f64 x 8))) (.f64 (fma.f64 (*.f64 x x) -2 4) (+.f64 4 (pow.f64 x 4))))
(/.f64 (.f64 (fma.f64 (.f64 x x) -2 4) (+.f64 4 (pow.f64 x 4))) (-.f64 16 (pow.f64 x 8)))
(.f64 (-.f64 2 (.f64 x x)) (/.f64 (fma.f64 2 (pow.f64 x 4) 8) (-.f64 16 (pow.f64 x 8))))
(.f64 (/.f64 (neg.f64 (fma.f64 x x -2)) (-.f64 64 (pow.f64 x 12))) (.f64 (fma.f64 (pow.f64 x 4) (+.f64 4 (pow.f64 x 4)) 16) 2))
(.f64 (/.f64 1 (-.f64 64 (pow.f64 x 12))) (.f64 (fma.f64 (*.f64 x x) -2 4) (fma.f64 (pow.f64 x 4) (+.f64 4 (pow.f64 x 4)) 16)))
(.f64 (fma.f64 (pow.f64 x 4) (+.f64 4 (pow.f64 x 4)) 16) (/.f64 (fma.f64 (.f64 x x) -2 4) (-.f64 64 (pow.f64 x 12))))
(.f64 (-.f64 2 (.f64 x x)) (/.f64 (fma.f64 2 (fma.f64 4 (pow.f64 x 4) (pow.f64 x 8)) 32) (-.f64 64 (pow.f64 x 12))))
(.f64 (/.f64 1 (+.f64 512 (pow.f64 x 18))) (.f64 2 (.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (fma.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 6) -8) 64))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (*.f64 (fma.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 6) -8) 64) (/.f64 2 (+.f64 512 (pow.f64 x 18)))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (/.f64 (fma.f64 2 (fma.f64 (pow.f64 x 6) -8 (pow.f64 x 12)) 128) (+.f64 512 (pow.f64 x 18))))
(.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (-.f64 64 (pow.f64 x 12))) (*.f64 2 (-.f64 8 (pow.f64 x 6))))
(.f64 (/.f64 1 (-.f64 64 (pow.f64 x 12))) (.f64 2 (.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (-.f64 8 (pow.f64 x 6)))))
(.f64 (-.f64 8 (pow.f64 x 6)) (.f64 (fma.f64 (*.f64 x x) (fma.f64 x x -2) 4) (/.f64 2 (-.f64 64 (pow.f64 x 12)))))
(.f64 2 (/.f64 (.f64 (fma.f64 (*.f64 x x) (fma.f64 x x -2) 4) (-.f64 8 (pow.f64 x 6))) (-.f64 64 (pow.f64 x 12))))
(.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (+.f64 512 (pow.f64 x 18))) (*.f64 (fma.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 6) -8) 64) 2))
(.f64 (/.f64 1 (+.f64 512 (pow.f64 x 18))) (.f64 2 (.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (fma.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 6) -8) 64))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (*.f64 (fma.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 6) -8) 64) (/.f64 2 (+.f64 512 (pow.f64 x 18)))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (/.f64 (fma.f64 2 (fma.f64 (pow.f64 x 6) -8 (pow.f64 x 12)) 128) (+.f64 512 (pow.f64 x 18))))
(.f64 (/.f64 2 (+.f64 512 (pow.f64 x 18))) (.f64 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4) (fma.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 6) -8) 64)))
(.f64 (/.f64 1 (+.f64 512 (pow.f64 x 18))) (.f64 2 (.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (fma.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 6) -8) 64))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (*.f64 (fma.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 6) -8) 64) (/.f64 2 (+.f64 512 (pow.f64 x 18)))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (/.f64 (fma.f64 2 (fma.f64 (pow.f64 x 6) -8 (pow.f64 x 12)) 128) (+.f64 512 (pow.f64 x 18))))
(.f64 (/.f64 2 (-.f64 16 (pow.f64 x 8))) (.f64 (neg.f64 (fma.f64 x x -2)) (+.f64 4 (pow.f64 x 4))))
(.f64 (/.f64 1 (-.f64 16 (pow.f64 x 8))) (.f64 (fma.f64 (*.f64 x x) -2 4) (+.f64 4 (pow.f64 x 4))))
(/.f64 (.f64 (fma.f64 (.f64 x x) -2 4) (+.f64 4 (pow.f64 x 4))) (-.f64 16 (pow.f64 x 8)))
(.f64 (-.f64 2 (.f64 x x)) (/.f64 (fma.f64 2 (pow.f64 x 4) 8) (-.f64 16 (pow.f64 x 8))))
(.f64 (/.f64 2 (-.f64 64 (pow.f64 x 12))) (.f64 (neg.f64 (fma.f64 x x -2)) (fma.f64 (pow.f64 x 4) (+.f64 4 (pow.f64 x 4)) 16)))
(.f64 (/.f64 1 (-.f64 64 (pow.f64 x 12))) (.f64 (fma.f64 (*.f64 x x) -2 4) (fma.f64 (pow.f64 x 4) (+.f64 4 (pow.f64 x 4)) 16)))
(.f64 (fma.f64 (pow.f64 x 4) (+.f64 4 (pow.f64 x 4)) 16) (/.f64 (fma.f64 (.f64 x x) -2 4) (-.f64 64 (pow.f64 x 12))))
(.f64 (-.f64 2 (.f64 x x)) (/.f64 (fma.f64 2 (fma.f64 4 (pow.f64 x 4) (pow.f64 x 8)) 32) (-.f64 64 (pow.f64 x 12))))
(.f64 (/.f64 2 (-.f64 64 (pow.f64 x 12))) (.f64 (fma.f64 x (*.f64 x (fma.f64 x x -2)) 4) (-.f64 8 (pow.f64 x 6))))
(.f64 (/.f64 1 (-.f64 64 (pow.f64 x 12))) (.f64 2 (.f64 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4) (-.f64 8 (pow.f64 x 6)))))
(.f64 (-.f64 8 (pow.f64 x 6)) (.f64 (fma.f64 (*.f64 x x) (fma.f64 x x -2) 4) (/.f64 2 (-.f64 64 (pow.f64 x 12)))))
(.f64 2 (/.f64 (.f64 (fma.f64 (*.f64 x x) (fma.f64 x x -2) 4) (-.f64 8 (pow.f64 x 6))) (-.f64 64 (pow.f64 x 12))))
(.f64 (/.f64 1 (.f64 -1/2 (fma.f64 x x 2))) -1)
(/.f64 2 (fma.f64 x x 2))
(.f64 (pow.f64 (fma.f64 x x 2) -1/2) (.f64 (pow.f64 (fma.f64 x x 2) -1/2) 2))
(/.f64 2 (fma.f64 x x 2))
(.f64 (pow.f64 (.f64 (fma.f64 x x 2) 1/2) -1/2) (pow.f64 (*.f64 (fma.f64 x x 2) 1/2) -1/2))
(/.f64 2 (fma.f64 x x 2))
(.f64 (pow.f64 (.f64 (fma.f64 x x 2) 1/2) -1/2) (.f64 (pow.f64 (.f64 (fma.f64 x x 2) 1/2) -1/2) 1))
(/.f64 2 (fma.f64 x x 2))
(pow.f64 (*.f64 (fma.f64 x x 2) 1/2) -1)
(/.f64 2 (fma.f64 x x 2))
(pow.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 x x 2) 1/2))) -1)
(/.f64 2 (fma.f64 x x 2))
(neg.f64 (/.f64 1 (*.f64 -1/2 (fma.f64 x x 2))))
(/.f64 2 (fma.f64 x x 2))
(exp.f64 (.f64 -1 (log.f64 (.f64 (fma.f64 x x 2) 1/2))))
(/.f64 2 (fma.f64 x x 2))
(fma.f64 2 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (.f64 (.f64 x (neg.f64 x)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (+.f64 (.f64 x (neg.f64 x)) 2))
(/.f64 (*.f64 -2 (fma.f64 x x -2)) (-.f64 4 (pow.f64 x 4)))
(*.f64 (/.f64 -2 (-.f64 4 (pow.f64 x 4))) (fma.f64 x x -2))
(fma.f64 4 (/.f64 2 (+.f64 8 (pow.f64 x 6))) (.f64 (.f64 x (*.f64 x (fma.f64 x x -2))) (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 x (.f64 x (fma.f64 x x -2)) 4))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 2 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (+.f64 (pow.f64 x 6) 8)))
(fma.f64 (.f64 x (.f64 x (fma.f64 x x -2))) (/.f64 2 (+.f64 8 (pow.f64 x 6))) (*.f64 4 (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 x (.f64 x (fma.f64 x x -2)) 4))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 2 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (+.f64 (pow.f64 x 6) 8)))
(fma.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) 2 (.f64 (.f64 x (neg.f64 x)) (/.f64 2 (-.f64 4 (pow.f64 x 4)))))
(.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (+.f64 (.f64 x (neg.f64 x)) 2))
(/.f64 (*.f64 -2 (fma.f64 x x -2)) (-.f64 4 (pow.f64 x 4)))
(*.f64 (/.f64 -2 (-.f64 4 (pow.f64 x 4))) (fma.f64 x x -2))
(fma.f64 (/.f64 2 (+.f64 8 (pow.f64 x 6))) 4 (.f64 (.f64 x (*.f64 x (fma.f64 x x -2))) (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 x (.f64 x (fma.f64 x x -2)) 4))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 2 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (+.f64 (pow.f64 x 6) 8)))
(fma.f64 (/.f64 2 (+.f64 8 (pow.f64 x 6))) (.f64 x (.f64 x (fma.f64 x x -2))) (*.f64 4 (/.f64 2 (+.f64 8 (pow.f64 x 6)))))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 x (.f64 x (fma.f64 x x -2)) 4))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 (.f64 x x) (fma.f64 x x -2) 4))
(.f64 2 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x -2) 4) (+.f64 (pow.f64 x 6) 8)))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(/.f64 2 (fma.f64 x x 2))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(/.f64 2 (fma.f64 x x 2))
(.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (.f64 x x)))) (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(/.f64 2 (fma.f64 x x 2))
(pow.f64 (/.f64 2 (+.f64 2 (*.f64 x x))) 1)
(/.f64 2 (fma.f64 x x 2))
(.f64 1 (/.f64 2 (+.f64 2 (.f64 x x))))
(/.f64 2 (fma.f64 x x 2))
(.f64 (.f64 (cbrt.f64 (/.f64 2 (+.f64 2 (.f64 x x)))) (cbrt.f64 (/.f64 2 (+.f64 2 (.f64 x x))))) (cbrt.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(/.f64 2 (fma.f64 x x 2))
(cbrt.f64 (.f64 (.f64 (/.f64 2 (+.f64 2 (.f64 x x))) (/.f64 2 (+.f64 2 (.f64 x x)))) (/.f64 2 (+.f64 2 (*.f64 x x)))))
(/.f64 2 (fma.f64 x x 2))
(exp.f64 (log.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(/.f64 2 (fma.f64 x x 2))
(log.f64 (exp.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(/.f64 2 (fma.f64 x x 2))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (/.f32 2 (+.f32 2 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))))
(binary32->binary64 (/.f32 2 (fma.f32 (binary64->binary32 x) (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (.f64 -1/2 (.f64 x x))))
(binary32->binary64 (binary64->binary32 (.f64 x (.f64 -1/2 x))))
(binary32->binary64 (binary64->binary32 (.f64 -1/2 (.f64 x x))))
(binary32->binary64 (binary64->binary32 (.f64 x (.f64 -1/2 x))))
(binary32->binary64 (.f32 -1/2 (.f32 (binary64->binary32 x) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (/.f32 2 (+.f32 2 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))))
(binary32->binary64 (/.f32 2 (fma.f32 (binary64->binary32 x) (binary64->binary32 x) 2)))

eval66.0ms (2.7%)

Compiler: Compiled 2728 to 1993 computations (26.9% saved)

prune21.0ms (0.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	0	2	2
Picked	0	2	2
Done	0	1	1
Total	153	6	159

Accuracy

100.0%

Counts

159 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	77.7%	(/.f64 2 (+.f64 2 (*.f64 x x)))
✓	50.6%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
▶	94.0%	(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
	50.7%	1
	51.2%	0
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	77.7%	(/.f64 2 (+.f64 2 (*.f64 x x)))
✓	50.6%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
▶	94.0%	(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
	50.7%	1
	51.2%	0

Compiler

Compiled 78 to 62 computations (20.5% saved)

localize40.0ms (1.7%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
	79.5%	(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
	99.2%	(/.f64 2 (+.f64 2 (*.f64 x x)))
	99.2%	(/.f64 2 (+.f64 2 (*.f64 x x)))
✓	79.5%	(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
0.0ms	x	@	inf	(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
0.0ms	x	@	-inf	(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))

Time

Variable

Point

Expression

0.0ms

(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))

0.0ms

inf

(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))

0.0ms

-inf

(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))

rewrite85.0ms (3.5%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1474×	`associate-l`
1068×	`associate-/l/`
858×	`associate-/r*`
854×	`fma-def`
726×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	37	19
2	211	19
3	1693	19

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))

Outputs

Calls

4 calls:

1.0ms	(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
0.0ms	(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
0.0ms	(/.f64 2 (+.f64 2 (*.f64 x x)))
0.0ms	(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))

simplify87.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1000×	`associate-*r/`
856×	`unswap-sqr`
664×	`associate-r`
607×	`fma-def`
590×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	708
1	61	588
2	173	588
3	437	588
4	1618	588
5	4299	588

Stop Event

1×	node limit

Counts

30 → 16

Calls

Call 1

Inputs
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(log1p.f64 (expm1.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(expm1.f64 (log1p.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(.f64 (sqrt.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (.f64 x x)))))) (sqrt.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(pow.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x))))) 1)
(.f64 1 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (.f64 x x))))))
(.f64 (.f64 (cbrt.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (.f64 x x)))))) (cbrt.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (.f64 x x))))))) (cbrt.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(cbrt.f64 (.f64 (.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (.f64 x x))))) (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (.f64 x x)))))) (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(exp.f64 (log.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(log.f64 (exp.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (/.f32 2 (+.f32 2 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))

Outputs
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(log1p.f64 (expm1.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(expm1.f64 (log1p.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(.f64 (sqrt.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (.f64 x x)))))) (sqrt.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(pow.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x))))) 1)
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(.f64 1 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (.f64 x x))))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(.f64 (.f64 (cbrt.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (.f64 x x)))))) (cbrt.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (.f64 x x))))))) (cbrt.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(cbrt.f64 (.f64 (.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (.f64 x x))))) (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (.f64 x x)))))) (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(exp.f64 (log.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(log.f64 (exp.f64 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))
(binary32->binary64 (/.f32 2 (+.f32 2 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))))
(binary32->binary64 (/.f32 2 (fma.f32 (binary64->binary32 x) (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (fma.f64 x x 2))))

eval69.0ms (2.9%)

Compiler: Compiled 3065 to 2326 computations (24.1% saved)

prune21.0ms (0.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	155	6	161

Accuracy

100.0%

Counts

161 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	77.7%	(/.f64 2 (+.f64 2 (*.f64 x x)))
✓	50.6%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	94.0%	(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
	50.7%	1
	51.2%	0
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	77.7%	(/.f64 2 (+.f64 2 (*.f64 x x)))
✓	50.6%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	94.0%	(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
	50.7%	1
	51.2%	0

Compiler

Compiled 78 to 62 computations (20.5% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	4	4
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	77.7%	(/.f64 2 (+.f64 2 (*.f64 x x)))
✓	50.6%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	94.0%	(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
	50.7%	1
	51.2%	0

Compiler

Compiled 73 to 55 computations (24.7% saved)

regimes12.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

Inputs
0
1
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(/.f64 2 (+.f64 2 (*.f64 x x)))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Calls

3 calls:

6.0ms	x
2.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
100.0%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes9.0ms (0.4%)

Counts

5 → 2

Calls

Call 1

Inputs
0
1
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(/.f64 2 (+.f64 2 (*.f64 x x)))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 2 (*.f64 x x)))))

Outputs
(/.f64 2 (+.f64 2 (*.f64 x x)))
0

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes9.0ms (0.4%)

Counts

3 → 2

Calls

Call 1

Inputs
0
1
(+.f64 1 (.f64 -1/2 (.f64 x x)))

Outputs
(+.f64 1 (.f64 -1/2 (.f64 x x)))
0

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.3%)

Counts

2 → 2

Calls

Call 1

Inputs
0
1

Outputs
1
0

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
0

Outputs
0

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
51.2%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch16.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.054815232187750376	488.6525548417222

Results

15.0ms

128×

body

256

valid

Compiler

Compiled 109 to 90 computations (17.4% saved)

bsearch16.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.054815232187750376	488.6525548417222

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 109 to 90 computations (17.4% saved)

bsearch16.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.054815232187750376	488.6525548417222

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 61 to 58 computations (4.9% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
4×	`*-commutative`
3×	`1-exp`
2×	`sub-neg`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	95
1	41	95
2	43	95
3	44	95

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(if (<=.f64 x 360) (/.f64 2 (+.f64 2 (*.f64 x x))) 0)
(if (<=.f64 x 3152519739159347/2251799813685248) (+.f64 1 (.f64 -1/2 (.f64 x x))) 0)
(if (<=.f64 x 350) 1 0)
0

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(if (<=.f64 x 360) (/.f64 2 (+.f64 2 (*.f64 x x))) 0)
(if (<=.f64 x 3152519739159347/2251799813685248) (+.f64 1 (.f64 -1/2 (.f64 x x))) 0)
(if (<=.f64 x 3152519739159347/2251799813685248) (+.f64 1 (.f64 (.f64 x x) -1/2)) 0)
(if (<=.f64 x 350) 1 0)
0

Compiler

Compiled 44 to 35 computations (20.5% saved)

soundness380.0ms (15.8%)

Rules

982×	`fma-def`
926×	`distribute-rgt-in`
926×	`distribute-rgt-in`
920×	`distribute-lft-in`
920×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	40	22
2	263	22
3	2303	22
0	109	1116
1	204	1108
2	695	1096
3	3517	1096
0	109	1116
1	204	1108
2	695	1096
3	3517	1096

Stop Event

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

Compiler

Compiled 30 to 24 computations (20% saved)

end0.0ms (0%)

preprocess44.0ms (1.8%)

Remove: (abs x)
Compiler: Compiled 116 to 88 computations (24.1% saved)

analyze0.0ms (0%)

sample859.0ms (35.6%)

preprocess163.0ms (6.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize30.0ms (1.2%)

series2.0ms (0.1%)

rewrite102.0ms (4.2%)

simplify80.0ms (3.3%)

eval16.0ms (0.7%)

prune12.0ms (0.5%)

localize38.0ms (1.6%)

series2.0ms (0.1%)

rewrite98.0ms (4.1%)

simplify95.0ms (4%)

eval66.0ms (2.7%)

prune21.0ms (0.9%)

localize40.0ms (1.7%)

series0.0ms (0%)

rewrite85.0ms (3.5%)

simplify87.0ms (3.6%)

eval69.0ms (2.9%)

prune21.0ms (0.9%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes12.0ms (0.5%)

regimes9.0ms (0.4%)

regimes9.0ms (0.4%)

regimes7.0ms (0.3%)

regimes3.0ms (0.1%)

bsearch16.0ms (0.7%)

bsearch16.0ms (0.6%)

bsearch16.0ms (0.6%)

simplify9.0ms (0.4%)

soundness380.0ms (15.8%)

end0.0ms (0%)

preprocess44.0ms (1.8%)

Profiling