Details

analyze97.0ms (1.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	24.7%	75.3%	0
0%	24.7%	75.3%	1
0%	24.7%	75.3%	2
12.4%	12.4%	75.3%	3
12.4%	12.4%	75.3%	4
18.5%	6.2%	75.3%	5
18.5%	6.2%	75.3%	6
21.6%	3.1%	75.3%	7
21.6%	3.1%	75.3%	8
23.2%	1.5%	75.3%	9
23.2%	1.5%	75.3%	10
23.9%	0.8%	75.3%	11
23.9%	0.8%	75.3%	12
24.3%	0.4%	75.3%	13
24.3%	0.4%	75.3%	14

Compiler

Compiled 35 to 18 computations (48.6% saved)

sample1.4s (23.3%)

Results

1.4s

8256×

body

128

valid

Compiler

Compiled 70 to 36 computations (48.6% saved)

preprocess29.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1068×	`fma-def_binary32`
462×	`associate-/l*_binary32`
340×	`distribute-rgt-in_binary32`
266×	`associate-/l/_binary32`
263×	`associate-/r*_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	86
1	69	86
2	207	82
3	485	82
4	1076	78
5	2341	60
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)) (*.f32 (*.f32 x (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)))))

Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) (.f32 s (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) s))
(/.f32 1 (*.f32 (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 1 (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)) (.f32 (.f32 x (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)) (.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x))) (.f32 x (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)) (*.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x))) (fma.f32 x (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)) x)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)) (+.f32 x (/.f32 x (exp.f32 (/.f32 (fabs.f32 s) x))))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)) (fma.f32 (/.f32 x (exp.f32 (/.f32 (fabs.f32 s) x))) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)) 2) x))
(/.f32 1 (*.f32 (+.f32 x (/.f32 x (exp.f32 (/.f32 (fabs.f32 s) x)))) (+.f32 1 (exp.f32 (/.f32 (fabs.f32 s) x)))))

Compiler

Compiled 28 to 13 computations (53.6% saved)

simplify38.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

505×	`fma-def_binary32`
440×	`times-frac_binary32`
346×	`distribute-rgt-in_binary32`
272×	`distribute-rgt-out_binary32`
271×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	38	43
2	107	41
3	246	41
4	518	39
5	1075	30
6	3430	29
7	4946	29

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1))) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) s))
(/.f32 (/.f32 1 (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 1))
(/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.3b	(/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s)
▶	0.2b	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Status

Error

Program

0.3b

(/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s)

▶

0.2b

(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Compiler

Compiled 142 to 78 computations (45.1% saved)

localize34.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
✓	0.0b	(.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
✓	0.0b	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
✓	0.2b	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

series132.0ms (2.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
21.0ms	s	@	0	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
19.0ms	x	@	-inf	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
19.0ms	x	@	0	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
19.0ms	x	@	inf	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
7.0ms	s	@	inf	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

rewrite73.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`prod-diff_binary32`
137×	`add-sqr-sqrt_binary32`
134×	`*-un-lft-identity_binary32`
134×	`pow1_binary32`
127×	`add-log-exp_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	97
1	267	53
2	4114	53

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(.f32 (.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (/.f32 x s)) (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (/.f32 x s)) (/.f32 (/.f32 1 s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (exp.f32 (/.f32 x s)) (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 (/.f32 x s)) (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (exp.f32 (/.f32 x s)) (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))) (cbrt.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 x s)) (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 x s)) (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))) 2)) (cbrt.f32 (/.f32 (exp.f32 (/.f32 x s)) (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) 2) (.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) (/.f32 (/.f32 1 s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (.f32 (sqrt.f32 s) (+.f32 (exp.f32 (/.f32 x s)) 1))) (/.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (.f32 (sqrt.f32 s) (+.f32 (exp.f32 (/.f32 x s)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (/.f32 (/.f32 1 s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (exp.f32 (/.f32 x s))) (/.f32 1 (.f32 (neg.f32 s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 s) (/.f32 (exp.f32 (/.f32 x s)) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 1 s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)) (exp.f32 (/.f32 x s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 (/.f32 x s)) (+.f32 s (.f32 s (exp.f32 (/.f32 x s))))) (/.f32 1 (+.f32 (exp.f32 (/.f32 x s)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) 2) s) (/.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) s) (/.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (+.f32 (exp.f32 (/.f32 x s)) 1)) (/.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (+.f32 s (.f32 s (exp.f32 (/.f32 x s))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) 2) 1) (/.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) 1) (/.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (+.f32 s (.f32 s (exp.f32 (/.f32 x s))))) (/.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (+.f32 (exp.f32 (/.f32 x s)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 x s)) 1)) (/.f32 (exp.f32 (/.f32 x s)) (+.f32 s (.f32 s (exp.f32 (/.f32 x s))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) 2) (+.f32 (exp.f32 (/.f32 x s)) 1)) (/.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) (+.f32 s (.f32 s (exp.f32 (/.f32 x s))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (+.f32 s (.f32 s (exp.f32 (/.f32 x s))))) (/.f32 (exp.f32 (/.f32 x s)) (+.f32 (exp.f32 (/.f32 x s)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) 2) (+.f32 s (.f32 s (exp.f32 (/.f32 x s))))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) (+.f32 (exp.f32 (/.f32 x s)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 (cbrt.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))) 2)) (/.f32 (exp.f32 (/.f32 x s)) (cbrt.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) 2) (pow.f32 (cbrt.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))) 2)) (cbrt.f32 (/.f32 (exp.f32 (/.f32 x s)) (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (pow.f32 (cbrt.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))) 2)) (/.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (cbrt.f32 (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (sqrt.f32 s) (+.f32 (exp.f32 (/.f32 x s)) 1))) (/.f32 (exp.f32 (/.f32 x s)) (.f32 (sqrt.f32 s) (+.f32 (exp.f32 (/.f32 x s)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) 2) (.f32 (sqrt.f32 s) (+.f32 (exp.f32 (/.f32 x s)) 1))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) (.f32 (sqrt.f32 s) (+.f32 (exp.f32 (/.f32 x s)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) (+.f32 s (.f32 s (exp.f32 (/.f32 x s))))) (+.f32 1 (pow.f32 (exp.f32 (/.f32 x s)) 3))) (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (expm1.f32 (/.f32 x s)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) (+.f32 s (.f32 s (exp.f32 (/.f32 x s))))) (-.f32 1 (pow.f32 (exp.f32 (/.f32 x s)) 2))) (-.f32 1 (exp.f32 (/.f32 x s))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (exp.f32 (/.f32 x s)) (.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))) 1)))) (#(struct:change #<rule 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simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Rules

386×	`fma-neg_binary32`
329×	`unswap-sqr_binary32`
306×	`distribute-rgt-neg-in_binary32`
281×	`times-frac_binary32`
277×	`distribute-neg-frac_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	1948
1	228	1892
2	679	1842
3	3067	1832

Stop Event

1×	node limit

Counts

225 → 168

Calls

Call 1

Inputs
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 1/4 s)
(-.f32 (.f32 1/4 (/.f32 1 s)) (.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3))))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5))) (.f32 1/4 (/.f32 1 s))) (*.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3))))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5))) (.f32 1/4 (/.f32 1 s))) (+.f32 (.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3))) (.f32 17/11520 (/.f32 (pow.f32 (fabs.f32 x) 6) (pow.f32 s 7)))))
(/.f32 1/4 s)
(-.f32 (.f32 1/4 (/.f32 1 s)) (.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3))))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5))) (.f32 1/4 (/.f32 1 s))) (*.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3))))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5))) (.f32 1/4 (/.f32 1 s))) (+.f32 (.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3))) (.f32 17/11520 (/.f32 (pow.f32 (fabs.f32 x) 6) (pow.f32 s 7)))))
(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
1
(-.f32 1 (/.f32 (fabs.f32 x) s))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (/.f32 (fabs.f32 x) s))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (+.f32 (/.f32 (fabs.f32 x) s) (.f32 1/6 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)))))
1
(-.f32 1 (/.f32 (fabs.f32 x) s))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (/.f32 (fabs.f32 x) s))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (+.f32 (/.f32 (fabs.f32 x) s) (.f32 1/6 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)))))
(.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) 2))))
(.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) 2))))
(.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) 2))))
(.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) 2))))
(*.f32 4 s)
(-.f32 (.f32 4 s) (.f32 4 (fabs.f32 x)))
(-.f32 (+.f32 (.f32 4 s) (.f32 3 (/.f32 (pow.f32 (fabs.f32 x) 2) s))) (*.f32 4 (fabs.f32 x)))
(-.f32 (+.f32 (.f32 4 s) (.f32 3 (/.f32 (pow.f32 (fabs.f32 x) 2) s))) (+.f32 (.f32 4 (fabs.f32 x)) (.f32 5/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 2)))))
(*.f32 4 s)
(-.f32 (.f32 4 s) (.f32 4 (fabs.f32 x)))
(-.f32 (+.f32 (.f32 4 s) (.f32 3 (/.f32 (pow.f32 (fabs.f32 x) 2) s))) (*.f32 4 (fabs.f32 x)))
(-.f32 (+.f32 (.f32 4 s) (.f32 3 (/.f32 (pow.f32 (fabs.f32 x) 2) s))) (+.f32 (.f32 4 (fabs.f32 x)) (.f32 5/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 2)))))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
2
(-.f32 2 (/.f32 (fabs.f32 x) s))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 2) (/.f32 (fabs.f32 x) s))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 2) (+.f32 (/.f32 (fabs.f32 x) s) (.f32 1/6 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)))))
2
(-.f32 2 (/.f32 (fabs.f32 x) s))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 2) (/.f32 (fabs.f32 x) s))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 2) (+.f32 (/.f32 (fabs.f32 x) s) (.f32 1/6 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)))))

Outputs
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (pow.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 1 (fma.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2))))
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(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
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(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
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(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
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(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
1
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(-.f32 (fma.f32 (/.f32 1/2 s) (/.f32 x (/.f32 s x)) 1) (/.f32 (fabs.f32 x) s))
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1
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(*.f32 4 (-.f32 s (fabs.f32 x)))
(-.f32 (+.f32 (.f32 4 s) (.f32 3 (/.f32 (pow.f32 (fabs.f32 x) 2) s))) (*.f32 4 (fabs.f32 x)))
(+.f32 (fma.f32 4 s (.f32 3 (/.f32 (pow.f32 (fabs.f32 x) 2) s))) (.f32 -4 (fabs.f32 x)))
(fma.f32 s 4 (fma.f32 3 (/.f32 (.f32 x x) s) (.f32 (fabs.f32 x) -4)))
(fma.f32 3 (/.f32 x (/.f32 s x)) (*.f32 4 (-.f32 s (fabs.f32 x))))
(fma.f32 (.f32 x x) (/.f32 3 s) (.f32 4 (-.f32 s (fabs.f32 x))))
(-.f32 (+.f32 (.f32 4 s) (.f32 3 (/.f32 (pow.f32 (fabs.f32 x) 2) s))) (+.f32 (.f32 4 (fabs.f32 x)) (.f32 5/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 2)))))
(-.f32 (fma.f32 4 s (.f32 3 (/.f32 (pow.f32 (fabs.f32 x) 2) s))) (fma.f32 4 (fabs.f32 x) (.f32 5/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (*.f32 s s)))))
(+.f32 (fma.f32 s 4 (fma.f32 3 (/.f32 (.f32 x x) s) (.f32 (fabs.f32 x) -4))) (.f32 -5/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (.f32 s s))))
(fma.f32 s 4 (fma.f32 3 (/.f32 x (/.f32 s x)) (fma.f32 (fabs.f32 x) -4 (.f32 (/.f32 (pow.f32 (fabs.f32 x) 3) (.f32 s s)) -5/3))))
(fma.f32 3 (/.f32 x (/.f32 s x)) (fma.f32 4 (-.f32 s (fabs.f32 x)) (.f32 (/.f32 (pow.f32 (fabs.f32 x) 3) (.f32 s s)) -5/3)))
(*.f32 4 s)
(*.f32 s 4)
(-.f32 (.f32 4 s) (.f32 4 (fabs.f32 x)))
(*.f32 4 (-.f32 s (fabs.f32 x)))
(-.f32 (+.f32 (.f32 4 s) (.f32 3 (/.f32 (pow.f32 (fabs.f32 x) 2) s))) (*.f32 4 (fabs.f32 x)))
(+.f32 (fma.f32 4 s (.f32 3 (/.f32 (pow.f32 (fabs.f32 x) 2) s))) (.f32 -4 (fabs.f32 x)))
(fma.f32 s 4 (fma.f32 3 (/.f32 (.f32 x x) s) (.f32 (fabs.f32 x) -4)))
(fma.f32 3 (/.f32 x (/.f32 s x)) (*.f32 4 (-.f32 s (fabs.f32 x))))
(fma.f32 (.f32 x x) (/.f32 3 s) (.f32 4 (-.f32 s (fabs.f32 x))))
(-.f32 (+.f32 (.f32 4 s) (.f32 3 (/.f32 (pow.f32 (fabs.f32 x) 2) s))) (+.f32 (.f32 4 (fabs.f32 x)) (.f32 5/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 2)))))
(-.f32 (fma.f32 4 s (.f32 3 (/.f32 (pow.f32 (fabs.f32 x) 2) s))) (fma.f32 4 (fabs.f32 x) (.f32 5/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (*.f32 s s)))))
(+.f32 (fma.f32 s 4 (fma.f32 3 (/.f32 (.f32 x x) s) (.f32 (fabs.f32 x) -4))) (.f32 -5/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (.f32 s s))))
(fma.f32 s 4 (fma.f32 3 (/.f32 x (/.f32 s x)) (fma.f32 (fabs.f32 x) -4 (.f32 (/.f32 (pow.f32 (fabs.f32 x) 3) (.f32 s s)) -5/3))))
(fma.f32 3 (/.f32 x (/.f32 s x)) (fma.f32 4 (-.f32 s (fabs.f32 x)) (.f32 (/.f32 (pow.f32 (fabs.f32 x) 3) (.f32 s s)) -5/3)))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(.f32 s (pow.f32 (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1)
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1)
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1)
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1)
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1)
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1)
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1)
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1)
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1)
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1)
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1)
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1)
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1)
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1)
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1)
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1)
2
(-.f32 2 (/.f32 (fabs.f32 x) s))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 2) (/.f32 (fabs.f32 x) s))
(-.f32 (fma.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (*.f32 s s)) 2) (/.f32 (fabs.f32 x) s))
(-.f32 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) 2) (/.f32 (fabs.f32 x) s))
(fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) (-.f32 2 (/.f32 (fabs.f32 x) s)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 2) (+.f32 (/.f32 (fabs.f32 x) s) (.f32 1/6 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)))))
(-.f32 (fma.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (.f32 s s)) 2) (+.f32 (/.f32 (fabs.f32 x) s) (/.f32 (.f32 1/6 (pow.f32 (fabs.f32 x) 3)) (pow.f32 s 3))))
(-.f32 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) 2) (fma.f32 1/6 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)) (/.f32 (fabs.f32 x) s)))
(-.f32 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2) (fma.f32 1/6 (pow.f32 (/.f32 (fabs.f32 x) s) 3) (/.f32 (fabs.f32 x) s)))
2
(-.f32 2 (/.f32 (fabs.f32 x) s))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 2) (/.f32 (fabs.f32 x) s))
(-.f32 (fma.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (*.f32 s s)) 2) (/.f32 (fabs.f32 x) s))
(-.f32 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) 2) (/.f32 (fabs.f32 x) s))
(fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) (-.f32 2 (/.f32 (fabs.f32 x) s)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 2) (+.f32 (/.f32 (fabs.f32 x) s) (.f32 1/6 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)))))
(-.f32 (fma.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (.f32 s s)) 2) (+.f32 (/.f32 (fabs.f32 x) s) (/.f32 (.f32 1/6 (pow.f32 (fabs.f32 x) 3)) (pow.f32 s 3))))
(-.f32 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) 2) (fma.f32 1/6 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)) (/.f32 (fabs.f32 x) s)))
(-.f32 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2) (fma.f32 1/6 (pow.f32 (/.f32 (fabs.f32 x) s) 3) (/.f32 (fabs.f32 x) s)))

prune255.0ms (4.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	262	4	266
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	264	4	268

Error

0.1b

Counts

268 → 4

Alt Table

Status	Error	Program
▶	0.2b	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
	5.6b	(exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))
	12.3b	(.f32 (/.f32 (exp.f32 (/.f32 x s)) (+.f32 s (.f32 s (exp.f32 (/.f32 x s))))) (/.f32 1 (+.f32 (exp.f32 (/.f32 x s)) 1)))
	0.2b	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) (exp.f32 (/.f32 (fabs.f32 x) s))) s))

Compiler

Compiled 7695 to 2856 computations (62.9% saved)

localize54.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))
	0.0b	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
✓	0.1b	(pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)
✓	0.2b	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))

series183.0ms (3.1%)

Counts

3 → 40

Calls

18 calls:

Time	Variable		Point	Expression
38.0ms	s	@	0	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
34.0ms	x	@	inf	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
34.0ms	x	@	-inf	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
31.0ms	x	@	0	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
11.0ms	s	@	-inf	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))

rewrite37.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

188×	`add-sqr-sqrt_binary32`
184×	`pow1_binary32`
183×	`*-un-lft-identity_binary32`
175×	`add-log-exp_binary32`
174×	`add-cbrt-cube_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	67
1	418	46

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs

(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (+.f32 1 (+.f32 (*.f32 2 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))

(pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)

(exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (/.f32 x s)) (/.f32 (/.f32 1 s) (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (exp.f32 (/.f32 (.f32 x 2) s))) (.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) (/.f32 (/.f32 1 s) (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))))) (pow.f32 (cbrt.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (+.f32 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(/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 s (/.f32 (exp.f32 (/.f32 x s)) (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (exp.f32 (/.f32 x s)) (.f32 s (neg.f32 (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) 3) (pow.f32 (+.f32 s (.f32 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s)))) s)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (+.f32 1 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (-.f32 (/.f32 x s) (+.f32 (log1p.f32 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))) (log.f32 s))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (-.f32 (/.f32 x s) (+.f32 (log1p.f32 (.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))) (log.f32 s))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (.f32 x 2) s)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 x s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (exp.f32 (/.f32 (.f32 x 2) s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (exp.f32 (/.f32 (.f32 x 2) s))) (cbrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (exp.f32 (/.f32 (.f32 x 2) s))) (.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) (exp.f32 (/.f32 x s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) 4)) (cbrt.f32 (exp.f32 (/.f32 (.f32 x 2) s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (exp.f32 (/.f32 x s))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (exp.f32 (/.f32 (.f32 x 2) s))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 (.f32 x 2) s)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (exp.f32 (/.f32 (.f32 x 2) s))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (exp.f32 (/.f32 (.f32 x 2) s))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (/.f32 (.f32 x 2) s))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (/.f32 (.f32 x 2) s) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (exp.f32 (/.f32 x s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (exp.f32 (/.f32 (.f32 x 2) s))) (cbrt.f32 (exp.f32 (/.f32 x s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (exp.f32 (/.f32 x s))) (cbrt.f32 (exp.f32 (/.f32 (.f32 x 2) s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) 4))) (sqrt.f32 (cbrt.f32 (exp.f32 (/.f32 (.f32 x 2) s)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (exp.f32 (/.f32 x s)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (/.f32 x s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (/.f32 x s)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (/.f32 (.f32 x 2) s)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (/.f32 x s))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 -1) (/.f32 x s))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 -1) (.f32 (/.f32 x s) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 x) (/.f32 1 s))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (/.f32 x s)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (/.f32 x s))) (sqrt.f32 (/.f32 x s)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 x s)) 2)) (cbrt.f32 (/.f32 x s)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 -1) (pow.f32 (cbrt.f32 (/.f32 x s)) 2)) (cbrt.f32 (/.f32 x s)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 -1) (sqrt.f32 (/.f32 x s))) (sqrt.f32 (/.f32 x s)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (exp.f32 (/.f32 (*.f32 x 2) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (exp.f32 (/.f32 x s)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (exp.f32 (/.f32 x s))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 x s)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (exp.f32 (/.f32 x s))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (exp.f32 (/.f32 x s))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (+.f32 1 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (/.f32 x s)) (/.f32 (/.f32 1 s) (+.f32 1 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (+.f32 1 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (exp.f32 (/.f32 (*.f32 x 2) s))) (*.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) (/.f32 (/.f32 1 s) (+.f32 1 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (+.f32 1 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))))) (pow.f32 (cbrt.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (+.f32 1 (*.f32 (exp.f32 (/.f32 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simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

376×	`fma-neg_binary32`
335×	`distribute-rgt-neg-in_binary32`
332×	`distribute-lft-neg-in_binary32`
285×	`distribute-neg-frac_binary32`
283×	`times-frac_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	1242
1	199	1194
2	602	1118
3	2820	1100

Stop Event

1×	node limit

Counts

124 → 105

Calls

Call 1

Inputs
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 1/4 s)
(-.f32 (.f32 1/4 (/.f32 1 s)) (.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3))))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5))) (.f32 1/4 (/.f32 1 s))) (*.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3))))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5))) (.f32 1/4 (/.f32 1 s))) (+.f32 (.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3))) (.f32 17/11520 (/.f32 (pow.f32 (fabs.f32 x) 6) (pow.f32 s 7)))))
(/.f32 1/4 s)
(-.f32 (.f32 1/4 (/.f32 1 s)) (.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3))))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5))) (.f32 1/4 (/.f32 1 s))) (*.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3))))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5))) (.f32 1/4 (/.f32 1 s))) (+.f32 (.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3))) (.f32 17/11520 (/.f32 (pow.f32 (fabs.f32 x) 6) (pow.f32 s 7)))))
1
(-.f32 1 (*.f32 2 (/.f32 (fabs.f32 x) s)))
(-.f32 (+.f32 (.f32 2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (.f32 2 (/.f32 (fabs.f32 x) s)))
(-.f32 (+.f32 (.f32 2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (+.f32 (.f32 2 (/.f32 (fabs.f32 x) s)) (*.f32 4/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)))))
1
(-.f32 1 (*.f32 2 (/.f32 (fabs.f32 x) s)))
(-.f32 (+.f32 (.f32 2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (.f32 2 (/.f32 (fabs.f32 x) s)))
(-.f32 (+.f32 (.f32 2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (+.f32 (.f32 2 (/.f32 (fabs.f32 x) s)) (*.f32 4/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)))))
1
(-.f32 1 (/.f32 (fabs.f32 x) s))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (/.f32 (fabs.f32 x) s))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (+.f32 (/.f32 (fabs.f32 x) s) (.f32 1/6 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)))))
1
(-.f32 1 (/.f32 (fabs.f32 x) s))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (/.f32 (fabs.f32 x) s))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (+.f32 (/.f32 (fabs.f32 x) s) (.f32 1/6 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)))))

Outputs
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 1 (fma.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (+.f32 2 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (+.f32 (/.f32 2 (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 1 (fma.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (+.f32 2 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (+.f32 (/.f32 2 (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 1 (fma.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (+.f32 2 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (+.f32 (/.f32 2 (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 1 (fma.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (+.f32 2 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (+.f32 (/.f32 2 (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 1 (fma.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (+.f32 2 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (+.f32 (/.f32 2 (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 1 (fma.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (+.f32 2 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (+.f32 (/.f32 2 (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 1 (fma.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (+.f32 2 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (+.f32 (/.f32 2 (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 1 (fma.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (+.f32 2 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (+.f32 (/.f32 2 (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 1 (fma.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (+.f32 2 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (+.f32 (/.f32 2 (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 1 (fma.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (+.f32 2 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (+.f32 (/.f32 2 (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 1 (fma.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (+.f32 2 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (+.f32 (/.f32 2 (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 1 (fma.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (+.f32 2 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (+.f32 (/.f32 2 (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 1 (fma.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (+.f32 2 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (+.f32 (/.f32 2 (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 1 (fma.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (+.f32 2 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (+.f32 (/.f32 2 (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 1 (fma.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (+.f32 2 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (+.f32 (/.f32 2 (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 1 (fma.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (+.f32 2 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (+.f32 (/.f32 2 (exp.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 s (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 1/4 s)
(-.f32 (.f32 1/4 (/.f32 1 s)) (.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3))))
(-.f32 (/.f32 1/4 s) (/.f32 (*.f32 1/16 (pow.f32 (fabs.f32 x) 2)) (pow.f32 s 3)))
(+.f32 (/.f32 1/4 s) (/.f32 (.f32 -1/16 (.f32 x x)) (pow.f32 s 3)))
(fma.f32 (/.f32 x (/.f32 (pow.f32 s 3) x)) -1/16 (/.f32 1/4 s))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5))) (.f32 1/4 (/.f32 1 s))) (*.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5)) (/.f32 1/4 s)) (/.f32 (*.f32 1/16 (pow.f32 (fabs.f32 x) 2)) (pow.f32 s 3)))
(+.f32 (fma.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5)) (/.f32 1/4 s)) (/.f32 (.f32 -1/16 (.f32 x x)) (pow.f32 s 3)))
(fma.f32 (/.f32 x (/.f32 (pow.f32 s 3) x)) -1/16 (fma.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5)) (/.f32 1/4 s)))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5))) (.f32 1/4 (/.f32 1 s))) (+.f32 (.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3))) (.f32 17/11520 (/.f32 (pow.f32 (fabs.f32 x) 6) (pow.f32 s 7)))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5)) (/.f32 1/4 s)) (fma.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3)) (*.f32 17/11520 (/.f32 (pow.f32 (fabs.f32 x) 6) (pow.f32 s 7)))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5)) (/.f32 1/4 s)) (fma.f32 1/16 (/.f32 (.f32 x x) (pow.f32 s 3)) (.f32 17/11520 (/.f32 (pow.f32 (fabs.f32 x) 6) (pow.f32 s 7)))))
(+.f32 (fma.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5)) (/.f32 1/4 s)) (fma.f32 (/.f32 x (/.f32 (pow.f32 s 3) x)) -1/16 (/.f32 -17/11520 (/.f32 (pow.f32 s 7) (pow.f32 (fabs.f32 x) 6)))))
(/.f32 1/4 s)
(-.f32 (.f32 1/4 (/.f32 1 s)) (.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3))))
(-.f32 (/.f32 1/4 s) (/.f32 (*.f32 1/16 (pow.f32 (fabs.f32 x) 2)) (pow.f32 s 3)))
(+.f32 (/.f32 1/4 s) (/.f32 (.f32 -1/16 (.f32 x x)) (pow.f32 s 3)))
(fma.f32 (/.f32 x (/.f32 (pow.f32 s 3) x)) -1/16 (/.f32 1/4 s))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5))) (.f32 1/4 (/.f32 1 s))) (*.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5)) (/.f32 1/4 s)) (/.f32 (*.f32 1/16 (pow.f32 (fabs.f32 x) 2)) (pow.f32 s 3)))
(+.f32 (fma.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5)) (/.f32 1/4 s)) (/.f32 (.f32 -1/16 (.f32 x x)) (pow.f32 s 3)))
(fma.f32 (/.f32 x (/.f32 (pow.f32 s 3) x)) -1/16 (fma.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5)) (/.f32 1/4 s)))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5))) (.f32 1/4 (/.f32 1 s))) (+.f32 (.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3))) (.f32 17/11520 (/.f32 (pow.f32 (fabs.f32 x) 6) (pow.f32 s 7)))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5)) (/.f32 1/4 s)) (fma.f32 1/16 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 3)) (*.f32 17/11520 (/.f32 (pow.f32 (fabs.f32 x) 6) (pow.f32 s 7)))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5)) (/.f32 1/4 s)) (fma.f32 1/16 (/.f32 (.f32 x x) (pow.f32 s 3)) (.f32 17/11520 (/.f32 (pow.f32 (fabs.f32 x) 6) (pow.f32 s 7)))))
(+.f32 (fma.f32 1/96 (/.f32 (pow.f32 (fabs.f32 x) 4) (pow.f32 s 5)) (/.f32 1/4 s)) (fma.f32 (/.f32 x (/.f32 (pow.f32 s 3) x)) -1/16 (/.f32 -17/11520 (/.f32 (pow.f32 s 7) (pow.f32 (fabs.f32 x) 6)))))
1
(-.f32 1 (*.f32 2 (/.f32 (fabs.f32 x) s)))
(-.f32 1 (*.f32 (/.f32 (fabs.f32 x) s) 2))
(+.f32 1 (/.f32 (*.f32 -2 (fabs.f32 x)) s))
(fma.f32 (/.f32 (fabs.f32 x) s) -2 1)
(-.f32 (+.f32 (.f32 2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (.f32 2 (/.f32 (fabs.f32 x) s)))
(+.f32 (fma.f32 2 (/.f32 (pow.f32 (fabs.f32 x) 2) (.f32 s s)) 1) (.f32 -2 (/.f32 (fabs.f32 x) s)))
(fma.f32 2 (/.f32 (.f32 x x) (.f32 s s)) (+.f32 1 (/.f32 (*.f32 -2 (fabs.f32 x)) s)))
(fma.f32 (/.f32 (fabs.f32 x) s) -2 (fma.f32 2 (*.f32 (/.f32 x s) (/.f32 x s)) 1))
(-.f32 (+.f32 (.f32 2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (+.f32 (.f32 2 (/.f32 (fabs.f32 x) s)) (*.f32 4/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)))))
(-.f32 (fma.f32 2 (/.f32 (pow.f32 (fabs.f32 x) 2) (.f32 s s)) 1) (fma.f32 2 (/.f32 (fabs.f32 x) s) (.f32 4/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)))))
(-.f32 (fma.f32 2 (/.f32 (.f32 x x) (.f32 s s)) 1) (fma.f32 (/.f32 (fabs.f32 x) s) 2 (*.f32 4/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)))))
(+.f32 1 (fma.f32 2 (.f32 (/.f32 x s) (/.f32 x s)) (fma.f32 (/.f32 (fabs.f32 x) s) -2 (.f32 (pow.f32 (/.f32 (fabs.f32 x) s) 3) -4/3))))
(+.f32 1 (fma.f32 2 (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (/.f32 (fabs.f32 x) s)) (/.f32 -4/3 (pow.f32 (/.f32 s (fabs.f32 x)) 3))))
1
(-.f32 1 (*.f32 2 (/.f32 (fabs.f32 x) s)))
(-.f32 1 (*.f32 (/.f32 (fabs.f32 x) s) 2))
(+.f32 1 (/.f32 (*.f32 -2 (fabs.f32 x)) s))
(fma.f32 (/.f32 (fabs.f32 x) s) -2 1)
(-.f32 (+.f32 (.f32 2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (.f32 2 (/.f32 (fabs.f32 x) s)))
(+.f32 (fma.f32 2 (/.f32 (pow.f32 (fabs.f32 x) 2) (.f32 s s)) 1) (.f32 -2 (/.f32 (fabs.f32 x) s)))
(fma.f32 2 (/.f32 (.f32 x x) (.f32 s s)) (+.f32 1 (/.f32 (*.f32 -2 (fabs.f32 x)) s)))
(fma.f32 (/.f32 (fabs.f32 x) s) -2 (fma.f32 2 (*.f32 (/.f32 x s) (/.f32 x s)) 1))
(-.f32 (+.f32 (.f32 2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (+.f32 (.f32 2 (/.f32 (fabs.f32 x) s)) (*.f32 4/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)))))
(-.f32 (fma.f32 2 (/.f32 (pow.f32 (fabs.f32 x) 2) (.f32 s s)) 1) (fma.f32 2 (/.f32 (fabs.f32 x) s) (.f32 4/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)))))
(-.f32 (fma.f32 2 (/.f32 (.f32 x x) (.f32 s s)) 1) (fma.f32 (/.f32 (fabs.f32 x) s) 2 (*.f32 4/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)))))
(+.f32 1 (fma.f32 2 (.f32 (/.f32 x s) (/.f32 x s)) (fma.f32 (/.f32 (fabs.f32 x) s) -2 (.f32 (pow.f32 (/.f32 (fabs.f32 x) s) 3) -4/3))))
(+.f32 1 (fma.f32 2 (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (/.f32 (fabs.f32 x) s)) (/.f32 -4/3 (pow.f32 (/.f32 s (fabs.f32 x)) 3))))
1
(-.f32 1 (/.f32 (fabs.f32 x) s))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (/.f32 (fabs.f32 x) s))
(-.f32 (fma.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (*.f32 s s)) 1) (/.f32 (fabs.f32 x) s))
(fma.f32 (/.f32 (.f32 x x) (.f32 s s)) 1/2 (-.f32 1 (/.f32 (fabs.f32 x) s)))
(-.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) 1/2 1) (/.f32 (fabs.f32 x) s))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (+.f32 (/.f32 (fabs.f32 x) s) (.f32 1/6 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)))))
(-.f32 (fma.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (.f32 s s)) 1) (+.f32 (/.f32 (fabs.f32 x) s) (.f32 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)) 1/6)))
(-.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) 1/2 1) (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)) 1/6 (/.f32 (fabs.f32 x) s)))
(-.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) 1/2 1) (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) s) 3) 1/6 (/.f32 (fabs.f32 x) s)))
1
(-.f32 1 (/.f32 (fabs.f32 x) s))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (/.f32 (fabs.f32 x) s))
(-.f32 (fma.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (*.f32 s s)) 1) (/.f32 (fabs.f32 x) s))
(fma.f32 (/.f32 (.f32 x x) (.f32 s s)) 1/2 (-.f32 1 (/.f32 (fabs.f32 x) s)))
(-.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) 1/2 1) (/.f32 (fabs.f32 x) s))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 s 2))) 1) (+.f32 (/.f32 (fabs.f32 x) s) (.f32 1/6 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)))))
(-.f32 (fma.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (.f32 s s)) 1) (+.f32 (/.f32 (fabs.f32 x) s) (.f32 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)) 1/6)))
(-.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) 1/2 1) (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 3)) 1/6 (/.f32 (fabs.f32 x) s)))
(-.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) 1/2 1) (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) s) 3) 1/6 (/.f32 (fabs.f32 x) s)))

prune197.0ms (3.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	165	2	167
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	167	4	171

Error

0.1b

Counts

171 → 4

Alt Table

Status	Error	Program
✓	0.2b	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
▶	5.6b	(exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))
	12.4b	(.f32 (neg.f32 (exp.f32 (/.f32 x s))) (/.f32 1 (.f32 s (neg.f32 (+.f32 1 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s)))))))))
	12.4b	(pow.f32 (/.f32 s (/.f32 (exp.f32 (/.f32 x s)) (+.f32 1 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))))) -1)

Compiler

Compiled 5417 to 2662 computations (50.9% saved)

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)
✓	0.7b	(exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))
✓	1.2b	(log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))
✓	4.8b	(-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))

series584.0ms (9.8%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
171.0ms	s	@	0	(log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))
129.0ms	x	@	inf	(log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))
128.0ms	x	@	-inf	(log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))
30.0ms	s	@	0	(-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))
22.0ms	x	@	-inf	(-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))

rewrite96.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`prod-diff_binary32`
137×	`add-sqr-sqrt_binary32`
134×	`pow1_binary32`
133×	`*-un-lft-identity_binary32`
130×	`add-log-exp_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	75
1	274	73
2	3620	73

Stop Event

1×	node limit

Counts

4 → 207

Calls

Call 1

Inputs
(-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))
(log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))
(exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))
(pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 x s) (neg.f32 (+.f32 (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 x s) (.f32 (neg.f32 (+.f32 (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))))) (fma.f32 (neg.f32 (+.f32 (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))) 1 (+.f32 (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))))) (fma.f32 (neg.f32 (cbrt.f32 (+.f32 (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s)))) (pow.f32 (cbrt.f32 (+.f32 (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))) 2) (+.f32 (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 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simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

744×	`times-frac_binary32`
349×	`associate-/l*_binary32`
343×	`fma-def_binary32`
313×	`associate-/r*_binary32`
197×	`associate-*l/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	2384
1	461	2203
2	1626	2013

Stop Event

1×	node limit

Counts

303 → 280

Calls

Call 1

Inputs
(.f32 -1 (log.f32 (.f32 4 s)))
(neg.f32 (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 (.f32 4 s))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 (*.f32 4 s))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6))) (log.f32 (.f32 4 s)))))
(/.f32 x s)
(-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2))))
(-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2))))
(-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2))))
(/.f32 x s)
(-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2))))
(-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2))))
(-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2))))
(/.f32 x s)
(-.f32 (/.f32 x s) (+.f32 (log.f32 (+.f32 1 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 2 (exp.f32 (/.f32 x s)))))) (log.f32 s)))
(-.f32 (/.f32 x s) (+.f32 (log.f32 (+.f32 1 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 2 (exp.f32 (/.f32 x s)))))) (log.f32 s)))
(-.f32 (/.f32 x s) (+.f32 (log.f32 (+.f32 1 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 2 (exp.f32 (/.f32 x s)))))) (log.f32 s)))
(-.f32 (log.f32 (/.f32 1 s)) (log.f32 4))
(-.f32 (log.f32 (/.f32 1 s)) (+.f32 (*.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 4)))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 1 s))) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 4)))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 1 s))) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (*.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6))) (log.f32 4))))
(-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4))
(-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (*.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 -4)))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 -1 s))) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 -4)))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 -1 s))) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (*.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6))) (log.f32 -4))))
(+.f32 (log.f32 (+.f32 1 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 2 (exp.f32 (/.f32 x s)))))) (log.f32 s))
(+.f32 (log.f32 (+.f32 1 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 2 (exp.f32 (/.f32 x s)))))) (log.f32 s))
(+.f32 (log.f32 (+.f32 1 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 2 (exp.f32 (/.f32 x s)))))) (log.f32 s))
(+.f32 (log.f32 (+.f32 1 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 2 (exp.f32 (/.f32 x s)))))) (log.f32 s))
(-.f32 (log.f32 4) (log.f32 (/.f32 1 s)))
(-.f32 (+.f32 (log.f32 4) (/.f32 x s)) (log.f32 (/.f32 1 s)))
(-.f32 (+.f32 (*.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (log.f32 4) (/.f32 x s))) (log.f32 (/.f32 1 s)))
(-.f32 (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (log.f32 4) (/.f32 x s))) (+.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 1 s))))
(-.f32 (log.f32 -4) (log.f32 (/.f32 -1 s)))
(-.f32 (+.f32 (log.f32 -4) (/.f32 x s)) (log.f32 (/.f32 -1 s)))
(-.f32 (+.f32 (*.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (log.f32 -4) (/.f32 x s))) (log.f32 (/.f32 -1 s)))
(-.f32 (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (log.f32 -4) (/.f32 x s))) (+.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 -1 s))))
(log.f32 (*.f32 4 s))
(+.f32 (log.f32 (*.f32 4 s)) (/.f32 x s))
(+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (log.f32 (.f32 4 s)) (/.f32 x s)))
(-.f32 (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (log.f32 (.f32 4 s)) (/.f32 x s))) (*.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))))
(log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))
(log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))
(log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))
(log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))
(log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))
(log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))
(log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))
(log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))
(exp.f32 (neg.f32 (log.f32 (*.f32 4 s))))
(-.f32 (exp.f32 (neg.f32 (log.f32 (.f32 4 s)))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 (.f32 4 s)))) (pow.f32 x 2)) (pow.f32 s 2))))
(-.f32 (+.f32 (exp.f32 (neg.f32 (log.f32 (.f32 4 s)))) (.f32 1/24 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 (.f32 4 s)))) (pow.f32 x 4)) (pow.f32 s 4)))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 (*.f32 4 s)))) (pow.f32 x 2)) (pow.f32 s 2))))
(-.f32 (+.f32 (exp.f32 (neg.f32 (log.f32 (.f32 4 s)))) (.f32 1/24 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 (.f32 4 s)))) (pow.f32 x 4)) (pow.f32 s 4)))) (+.f32 (.f32 1/4 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 (.f32 4 s)))) (pow.f32 x 2)) (pow.f32 s 2))) (.f32 17/2880 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 (.f32 4 s)))) (pow.f32 x 6)) (pow.f32 s 6)))))
(exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))))
(exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))))
(exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))))
(exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))))
(exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))))
(exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))))
(exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))))
(exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))))
(exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))))
(exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))))
(exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))))
(exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)))))
(exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (log.f32 4)))
(-.f32 (exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (log.f32 4))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (log.f32 4))) (pow.f32 x 2)) (pow.f32 s 2))))
(-.f32 (+.f32 (.f32 1/24 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (log.f32 4))) (pow.f32 x 4)) (pow.f32 s 4))) (exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (log.f32 4)))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (log.f32 4))) (pow.f32 x 2)) (pow.f32 s 2))))
(-.f32 (+.f32 (.f32 1/24 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (log.f32 4))) (pow.f32 x 4)) (pow.f32 s 4))) (exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (log.f32 4)))) (+.f32 (.f32 17/2880 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (log.f32 4))) (pow.f32 x 6)) (pow.f32 s 6))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (log.f32 4))) (pow.f32 x 2)) (pow.f32 s 2)))))
(exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4)))
(-.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4))) (pow.f32 x 2)) (pow.f32 s 2))))
(-.f32 (+.f32 (.f32 1/24 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4))) (pow.f32 x 4)) (pow.f32 s 4))) (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4)))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4))) (pow.f32 x 2)) (pow.f32 s 2))))
(-.f32 (+.f32 (.f32 1/24 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4))) (pow.f32 x 4)) (pow.f32 s 4))) (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4)))) (+.f32 (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4))) (pow.f32 x 2)) (pow.f32 s 2))) (.f32 17/2880 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4))) (pow.f32 x 6)) (pow.f32 s 6)))))
4
(+.f32 4 (*.f32 4 (/.f32 x s)))
(+.f32 4 (+.f32 (.f32 3 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 4 (/.f32 x s))))
(+.f32 4 (+.f32 (.f32 3 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (.f32 4 (/.f32 x s)) (*.f32 5/3 (/.f32 (pow.f32 x 3) (pow.f32 s 3))))))
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
4
(+.f32 4 (*.f32 4 (/.f32 x s)))
(+.f32 4 (+.f32 (.f32 3 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 4 (/.f32 x s))))
(+.f32 4 (+.f32 (.f32 3 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (.f32 4 (/.f32 x s)) (*.f32 5/3 (/.f32 (pow.f32 x 3) (pow.f32 s 3))))))
4
(+.f32 4 (*.f32 4 (/.f32 x s)))
(+.f32 4 (+.f32 (.f32 3 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 4 (/.f32 x s))))
(+.f32 4 (+.f32 (.f32 3 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (.f32 4 (/.f32 x s)) (*.f32 5/3 (/.f32 (pow.f32 x 3) (pow.f32 s 3))))))

Outputs
(.f32 -1 (log.f32 (.f32 4 s)))
(neg.f32 (log.f32 (*.f32 4 s)))
(neg.f32 (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 (.f32 4 s))))
(neg.f32 (fma.f32 1/4 (/.f32 (.f32 x x) (.f32 s s)) (log.f32 (*.f32 4 s))))
(-.f32 (.f32 (.f32 (/.f32 x s) (/.f32 x s)) -1/4) (log.f32 (*.f32 4 s)))
(-.f32 (/.f32 -1/4 (.f32 (/.f32 s x) (/.f32 s x))) (log.f32 (.f32 4 s)))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 (*.f32 4 s))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (fma.f32 1/4 (/.f32 (.f32 x x) (.f32 s s)) (log.f32 (.f32 4 s))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (.f32 (.f32 (/.f32 x s) (/.f32 x s)) -1/4)) (log.f32 (*.f32 4 s)))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (/.f32 -1/4 (.f32 (/.f32 s x) (/.f32 s x)))) (log.f32 (.f32 4 s)))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6))) (log.f32 (.f32 4 s)))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (fma.f32 1/4 (/.f32 (.f32 x x) (.f32 s s)) (fma.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (log.f32 (.f32 4 s)))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (.f32 (.f32 (/.f32 x s) (/.f32 x s)) -1/4)) (fma.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (log.f32 (*.f32 4 s))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (/.f32 -1/4 (.f32 (/.f32 s x) (/.f32 s x)))) (fma.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (log.f32 (.f32 4 s))))
(/.f32 x s)
(-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2))))
(-.f32 (/.f32 x s) (fma.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))) (log.f32 s)))
(-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2))))
(-.f32 (/.f32 x s) (fma.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))) (log.f32 s)))
(-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2))))
(-.f32 (/.f32 x s) (fma.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))) (log.f32 s)))
(/.f32 x s)
(-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2))))
(-.f32 (/.f32 x s) (fma.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))) (log.f32 s)))
(-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2))))
(-.f32 (/.f32 x s) (fma.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))) (log.f32 s)))
(-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2))))
(-.f32 (/.f32 x s) (fma.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))) (log.f32 s)))
(/.f32 x s)
(-.f32 (/.f32 x s) (+.f32 (log.f32 (+.f32 1 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 2 (exp.f32 (/.f32 x s)))))) (log.f32 s)))
(-.f32 (/.f32 x s) (+.f32 (log1p.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 2 (exp.f32 (/.f32 x s))))) (log.f32 s)))
(-.f32 (/.f32 x s) (+.f32 (log1p.f32 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 (exp.f32 (/.f32 x s)) 2))) (log.f32 s)))
(-.f32 (-.f32 (/.f32 x s) (log.f32 s)) (log1p.f32 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))))
(-.f32 (/.f32 x s) (+.f32 (log.f32 (+.f32 1 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 2 (exp.f32 (/.f32 x s)))))) (log.f32 s)))
(-.f32 (/.f32 x s) (+.f32 (log1p.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 2 (exp.f32 (/.f32 x s))))) (log.f32 s)))
(-.f32 (/.f32 x s) (+.f32 (log1p.f32 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 (exp.f32 (/.f32 x s)) 2))) (log.f32 s)))
(-.f32 (-.f32 (/.f32 x s) (log.f32 s)) (log1p.f32 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))))
(-.f32 (/.f32 x s) (+.f32 (log.f32 (+.f32 1 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 2 (exp.f32 (/.f32 x s)))))) (log.f32 s)))
(-.f32 (/.f32 x s) (+.f32 (log1p.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 2 (exp.f32 (/.f32 x s))))) (log.f32 s)))
(-.f32 (/.f32 x s) (+.f32 (log1p.f32 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 (exp.f32 (/.f32 x s)) 2))) (log.f32 s)))
(-.f32 (-.f32 (/.f32 x s) (log.f32 s)) (log1p.f32 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))))
(-.f32 (log.f32 (/.f32 1 s)) (log.f32 4))
(neg.f32 (log.f32 (*.f32 4 s)))
(-.f32 (log.f32 (/.f32 1 s)) (+.f32 (*.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 4)))
(neg.f32 (fma.f32 1/4 (/.f32 (.f32 x x) (.f32 s s)) (log.f32 (*.f32 4 s))))
(-.f32 (.f32 (.f32 (/.f32 x s) (/.f32 x s)) -1/4) (log.f32 (*.f32 4 s)))
(-.f32 (/.f32 -1/4 (.f32 (/.f32 s x) (/.f32 s x))) (log.f32 (.f32 4 s)))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 1 s))) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 4)))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (fma.f32 1/4 (/.f32 (.f32 x x) (.f32 s s)) (log.f32 (.f32 4 s))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (.f32 (.f32 (/.f32 x s) (/.f32 x s)) -1/4)) (log.f32 (*.f32 4 s)))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (/.f32 -1/4 (.f32 (/.f32 s x) (/.f32 s x)))) (log.f32 (.f32 4 s)))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 1 s))) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (*.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6))) (log.f32 4))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (fma.f32 1/4 (/.f32 (.f32 x x) (.f32 s s)) (fma.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (log.f32 (.f32 4 s)))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (.f32 (.f32 (/.f32 x s) (/.f32 x s)) -1/4)) (fma.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (log.f32 (*.f32 4 s))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (/.f32 -1/4 (.f32 (/.f32 s x) (/.f32 s x)))) (fma.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (log.f32 (.f32 4 s))))
(-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4))
(-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (*.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 -4)))
(-.f32 (log.f32 (/.f32 -1 s)) (fma.f32 1/4 (/.f32 (.f32 x x) (.f32 s s)) (log.f32 -4)))
(-.f32 (log.f32 (/.f32 -1 s)) (fma.f32 1/4 (*.f32 (/.f32 x s) (/.f32 x s)) (log.f32 -4)))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 -1 s))) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 -4)))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (log.f32 (/.f32 -1 s))) (fma.f32 1/4 (/.f32 (.f32 x x) (.f32 s s)) (log.f32 -4)))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (log.f32 (/.f32 -1 s))) (fma.f32 1/4 (*.f32 (/.f32 x s) (/.f32 x s)) (log.f32 -4)))
(fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (-.f32 (log.f32 (/.f32 -1 s)) (fma.f32 1/4 (*.f32 (/.f32 x s) (/.f32 x s)) (log.f32 -4))))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 -1 s))) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (*.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6))) (log.f32 -4))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (log.f32 (/.f32 -1 s))) (fma.f32 1/4 (/.f32 (.f32 x x) (.f32 s s)) (fma.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (log.f32 -4))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (log.f32 (/.f32 -1 s))) (fma.f32 1/4 (*.f32 (/.f32 x s) (/.f32 x s)) (fma.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (log.f32 -4))))
(fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (-.f32 (log.f32 (/.f32 -1 s)) (fma.f32 1/4 (*.f32 (/.f32 x s) (/.f32 x s)) (fma.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (log.f32 -4)))))
(+.f32 (log.f32 (+.f32 1 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 2 (exp.f32 (/.f32 x s)))))) (log.f32 s))
(+.f32 (log1p.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 2 (exp.f32 (/.f32 x s))))) (log.f32 s))
(+.f32 (log1p.f32 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 (exp.f32 (/.f32 x s)) 2))) (log.f32 s))
(+.f32 (log1p.f32 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))) (log.f32 s))
(+.f32 (log.f32 (+.f32 1 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 2 (exp.f32 (/.f32 x s)))))) (log.f32 s))
(+.f32 (log1p.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 2 (exp.f32 (/.f32 x s))))) (log.f32 s))
(+.f32 (log1p.f32 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 (exp.f32 (/.f32 x s)) 2))) (log.f32 s))
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(exp.f32 (neg.f32 (log.f32 (*.f32 4 s))))
(/.f32 (/.f32 1 s) 4)
(/.f32 1/4 s)
(-.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4))) (pow.f32 x 2)) (pow.f32 s 2))))
(-.f32 (exp.f32 (neg.f32 (log.f32 (.f32 4 s)))) (.f32 1/4 (/.f32 (exp.f32 (neg.f32 (log.f32 (.f32 4 s)))) (/.f32 (.f32 s s) (*.f32 x x)))))
(+.f32 (/.f32 (/.f32 1 s) 4) (.f32 (.f32 (/.f32 (/.f32 (/.f32 1 s) 4) (.f32 s s)) (.f32 x x)) -1/4))
(+.f32 (/.f32 1/4 s) (/.f32 -1/4 (.f32 (/.f32 (pow.f32 s 3) (.f32 x x)) 4)))
(-.f32 (+.f32 (.f32 1/24 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4))) (pow.f32 x 4)) (pow.f32 s 4))) (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4)))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4))) (pow.f32 x 2)) (pow.f32 s 2))))
(+.f32 (exp.f32 (neg.f32 (log.f32 (.f32 4 s)))) (-.f32 (.f32 1/24 (/.f32 (exp.f32 (neg.f32 (log.f32 (.f32 4 s)))) (/.f32 (pow.f32 s 4) (pow.f32 x 4)))) (.f32 1/4 (/.f32 (exp.f32 (neg.f32 (log.f32 (.f32 4 s)))) (/.f32 (.f32 s s) (*.f32 x x))))))
(fma.f32 1/24 (/.f32 (.f32 (pow.f32 x 4) (/.f32 (/.f32 1 s) 4)) (pow.f32 s 4)) (+.f32 (/.f32 (/.f32 1 s) 4) (.f32 (.f32 (/.f32 (/.f32 (/.f32 1 s) 4) (.f32 s s)) (*.f32 x x)) -1/4)))
(fma.f32 1/24 (.f32 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (/.f32 1/4 s)) (+.f32 (/.f32 1/4 s) (/.f32 -1/4 (.f32 (/.f32 (pow.f32 s 3) (*.f32 x x)) 4))))
(-.f32 (+.f32 (.f32 1/24 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4))) (pow.f32 x 4)) (pow.f32 s 4))) (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4)))) (+.f32 (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4))) (pow.f32 x 2)) (pow.f32 s 2))) (.f32 17/2880 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -4))) (pow.f32 x 6)) (pow.f32 s 6)))))
(-.f32 (+.f32 (exp.f32 (neg.f32 (log.f32 (.f32 4 s)))) (.f32 1/24 (/.f32 (exp.f32 (neg.f32 (log.f32 (.f32 4 s)))) (/.f32 (pow.f32 s 4) (pow.f32 x 4))))) (fma.f32 1/4 (/.f32 (exp.f32 (neg.f32 (log.f32 (.f32 4 s)))) (/.f32 (.f32 s s) (.f32 x x))) (.f32 17/2880 (/.f32 (exp.f32 (neg.f32 (log.f32 (.f32 4 s)))) (/.f32 (pow.f32 s 6) (pow.f32 x 6))))))
(-.f32 (fma.f32 1/24 (/.f32 (.f32 (pow.f32 x 4) (/.f32 (/.f32 1 s) 4)) (pow.f32 s 4)) (/.f32 (/.f32 1 s) 4)) (fma.f32 1/4 (.f32 (/.f32 (/.f32 (/.f32 1 s) 4) (.f32 s s)) (.f32 x x)) (/.f32 (.f32 17/2880 (.f32 (pow.f32 x 6) (/.f32 (/.f32 1 s) 4))) (pow.f32 s 6))))
(-.f32 (fma.f32 1/24 (.f32 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (/.f32 1/4 s)) (/.f32 1/4 s)) (fma.f32 17/2880 (.f32 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (/.f32 1/4 s)) (/.f32 1/4 (.f32 (/.f32 (pow.f32 s 3) (.f32 x x)) 4))))
4
(+.f32 4 (*.f32 4 (/.f32 x s)))
(+.f32 4 (/.f32 (*.f32 4 x) s))
(fma.f32 4 (/.f32 x s) 4)
(+.f32 4 (+.f32 (.f32 3 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 4 (/.f32 x s))))
(+.f32 4 (fma.f32 3 (/.f32 (.f32 x x) (.f32 s s)) (/.f32 (*.f32 4 x) s)))
(+.f32 4 (fma.f32 4 (/.f32 x s) (/.f32 3 (*.f32 (/.f32 s x) (/.f32 s x)))))
(fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) 3 (fma.f32 4 (/.f32 x s) 4))
(+.f32 4 (+.f32 (.f32 3 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (.f32 4 (/.f32 x s)) (*.f32 5/3 (/.f32 (pow.f32 x 3) (pow.f32 s 3))))))
(+.f32 4 (fma.f32 3 (/.f32 (.f32 x x) (.f32 s s)) (fma.f32 4 (/.f32 x s) (*.f32 5/3 (/.f32 (pow.f32 x 3) (pow.f32 s 3))))))
(+.f32 4 (fma.f32 (.f32 (/.f32 x s) (/.f32 x s)) 3 (fma.f32 4 (/.f32 x s) (/.f32 (.f32 5/3 (pow.f32 x 3)) (pow.f32 s 3)))))
(+.f32 4 (fma.f32 4 (/.f32 x s) (fma.f32 5/3 (pow.f32 (/.f32 x s) 3) (/.f32 3 (*.f32 (/.f32 s x) (/.f32 s x))))))
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
(pow.f32 (+.f32 1 (exp.f32 (/.f32 x s))) 2)
4
(+.f32 4 (*.f32 4 (/.f32 x s)))
(+.f32 4 (/.f32 (*.f32 4 x) s))
(fma.f32 4 (/.f32 x s) 4)
(+.f32 4 (+.f32 (.f32 3 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 4 (/.f32 x s))))
(+.f32 4 (fma.f32 3 (/.f32 (.f32 x x) (.f32 s s)) (/.f32 (*.f32 4 x) s)))
(+.f32 4 (fma.f32 4 (/.f32 x s) (/.f32 3 (*.f32 (/.f32 s x) (/.f32 s x)))))
(fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) 3 (fma.f32 4 (/.f32 x s) 4))
(+.f32 4 (+.f32 (.f32 3 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (.f32 4 (/.f32 x s)) (*.f32 5/3 (/.f32 (pow.f32 x 3) (pow.f32 s 3))))))
(+.f32 4 (fma.f32 3 (/.f32 (.f32 x x) (.f32 s s)) (fma.f32 4 (/.f32 x s) (*.f32 5/3 (/.f32 (pow.f32 x 3) (pow.f32 s 3))))))
(+.f32 4 (fma.f32 (.f32 (/.f32 x s) (/.f32 x s)) 3 (fma.f32 4 (/.f32 x s) (/.f32 (.f32 5/3 (pow.f32 x 3)) (pow.f32 s 3)))))
(+.f32 4 (fma.f32 4 (/.f32 x s) (fma.f32 5/3 (pow.f32 (/.f32 x s) 3) (/.f32 3 (*.f32 (/.f32 s x) (/.f32 s x))))))
4
(+.f32 4 (*.f32 4 (/.f32 x s)))
(+.f32 4 (/.f32 (*.f32 4 x) s))
(fma.f32 4 (/.f32 x s) 4)
(+.f32 4 (+.f32 (.f32 3 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 4 (/.f32 x s))))
(+.f32 4 (fma.f32 3 (/.f32 (.f32 x x) (.f32 s s)) (/.f32 (*.f32 4 x) s)))
(+.f32 4 (fma.f32 4 (/.f32 x s) (/.f32 3 (*.f32 (/.f32 s x) (/.f32 s x)))))
(fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) 3 (fma.f32 4 (/.f32 x s) 4))
(+.f32 4 (+.f32 (.f32 3 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (.f32 4 (/.f32 x s)) (*.f32 5/3 (/.f32 (pow.f32 x 3) (pow.f32 s 3))))))
(+.f32 4 (fma.f32 3 (/.f32 (.f32 x x) (.f32 s s)) (fma.f32 4 (/.f32 x s) (*.f32 5/3 (/.f32 (pow.f32 x 3) (pow.f32 s 3))))))
(+.f32 4 (fma.f32 (.f32 (/.f32 x s) (/.f32 x s)) 3 (fma.f32 4 (/.f32 x s) (/.f32 (.f32 5/3 (pow.f32 x 3)) (pow.f32 s 3)))))
(+.f32 4 (fma.f32 4 (/.f32 x s) (fma.f32 5/3 (pow.f32 (/.f32 x s) 3) (/.f32 3 (*.f32 (/.f32 s x) (/.f32 s x))))))

prune242.0ms (4.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	277	3	280
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	278	6	284

Error

0.1b

Counts

284 → 6

Alt Table

Status	Error	Program
▶	5.7b	(pow.f32 (E.f32) (-.f32 (-.f32 (/.f32 x s) (log.f32 s)) (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))))))
	13.1b	(.f32 (exp.f32 (/.f32 x s)) (exp.f32 (neg.f32 (+.f32 (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s)))))
	12.4b	(pow.f32 (/.f32 s (/.f32 (exp.f32 (/.f32 x s)) (+.f32 1 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))))) -1)
✓	0.2b	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
	5.8b	(exp.f32 (pow.f32 (cbrt.f32 (-.f32 (-.f32 (/.f32 x s) (log.f32 s)) (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))))) 3))
	12.4b	(.f32 (neg.f32 (exp.f32 (/.f32 x s))) (/.f32 1 (.f32 s (neg.f32 (+.f32 1 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s)))))))))

Compiler

Compiled 9027 to 4262 computations (52.8% saved)

localize40.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f32 (/.f32 x s) (log.f32 s))
✓	0.8b	(pow.f32 (E.f32) (-.f32 (-.f32 (/.f32 x s) (log.f32 s)) (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))))))
✓	1.1b	(log1p.f32 (exp.f32 (/.f32 x s)))
✓	4.9b	(-.f32 (-.f32 (/.f32 x s) (log.f32 s)) (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))))

series364.0ms (6.1%)

Counts

4 → 84

Calls

24 calls:

Time	Variable		Point	Expression
79.0ms	x	@	-inf	(log1p.f32 (exp.f32 (/.f32 x s)))
76.0ms	x	@	inf	(log1p.f32 (exp.f32 (/.f32 x s)))
65.0ms	s	@	0	(log1p.f32 (exp.f32 (/.f32 x s)))
22.0ms	x	@	inf	(-.f32 (-.f32 (/.f32 x s) (log.f32 s)) (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))))
22.0ms	x	@	-inf	(-.f32 (-.f32 (/.f32 x s) (log.f32 s)) (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))))

rewrite75.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

361×	`fma-neg_binary32`
255×	`expm1-udef_binary32`
255×	`log1p-udef_binary32`
152×	`add-sqr-sqrt_binary32`
151×	`pow1_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	65
1	292	62
2	4122	62

Stop Event

1×	node limit

Counts

4 → 175

Calls

Call 1

Inputs
(-.f32 (-.f32 (/.f32 x s) (log.f32 s)) (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))))
(log1p.f32 (exp.f32 (/.f32 x s)))
(pow.f32 (E.f32) (-.f32 (-.f32 (/.f32 x s) (log.f32 s)) (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))))))
(-.f32 (/.f32 x s) (log.f32 s))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 x s) (neg.f32 (+.f32 (log.f32 s) (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 x s) (fma.f32 -1 (log.f32 s) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 x s) (+.f32 (neg.f32 (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2)) (fma.f32 -2 (log1p.f32 (exp.f32 (/.f32 x s))) (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2)) (fma.f32 (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2) 1 (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2)) (fma.f32 (neg.f32 (cbrt.f32 (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))))) (pow.f32 (cbrt.f32 (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))))) 2) (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2) (-.f32 (/.f32 x s) (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2)) 1/2) (.f32 (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))) 2)) (log.f32 (cbrt.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2))) (pow.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2))) 2) (cbrt.f32 (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2))) (sqrt.f32 (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (pow.f32 (-.f32 (/.f32 x s) (log.f32 s)) 3) (.f32 (pow.f32 (log1p.f32 (exp.f32 (/.f32 x s))) 3) 8)) (/.f32 1 (+.f32 (pow.f32 (-.f32 (/.f32 x s) (log.f32 s)) 2) (.f32 (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (pow.f32 (-.f32 (/.f32 x s) (log.f32 s)) 2) (pow.f32 (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) 2)) (/.f32 1 (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (sqrt.f32 (-.f32 (/.f32 x s) (log.f32 s))) (sqrt.f32 (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))))) (-.f32 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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))) (pow.f32 (cbrt.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))) 2) (cbrt.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 (/.f32 x s)) s) (exp.f32 (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 (/.f32 x s)) s) (/.f32 1 (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (E.f32) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))) (sqrt.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2))) (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (/.f32 x s)) (exp.f32 (+.f32 (log.f32 s) (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (/.f32 x s)) (pow.f32 (E.f32) (+.f32 (log.f32 s) (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2) (/.f32 (exp.f32 (/.f32 x s)) s)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 x s)) s)) (neg.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (-.f32 (/.f32 x s) (log.f32 s)) (*.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 x s) (neg.f32 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 x s) (.f32 (neg.f32 (log.f32 s)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 x s) (log.f32 s)) (fma.f32 (neg.f32 (log.f32 s)) 1 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 x s) (log.f32 s)) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 s))) (pow.f32 (cbrt.f32 (log.f32 s)) 2) (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 x s) (log.f32 s)) (+.f32 (neg.f32 (log.f32 s)) (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log.f32 s)) (/.f32 x s))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (/.f32 x s) (log.f32 s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (-.f32 (/.f32 x s) (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (-.f32 (/.f32 x s) (log.f32 s))) (pow.f32 (cbrt.f32 (-.f32 (/.f32 x s) (log.f32 s))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 x s) (log.f32 s))) 2) (cbrt.f32 (-.f32 (/.f32 x s) (log.f32 s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (-.f32 (/.f32 x s) (log.f32 s))) (sqrt.f32 (-.f32 (/.f32 x s) (log.f32 s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (pow.f32 (/.f32 x s) 3) (pow.f32 (log.f32 s) 3)) (/.f32 1 (+.f32 (pow.f32 (/.f32 x s) 2) (.f32 (log.f32 s) (+.f32 (/.f32 x s) (log.f32 s))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (pow.f32 (/.f32 x s) 2) (pow.f32 (log.f32 s) 2)) (/.f32 1 (+.f32 (/.f32 x s) (log.f32 s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (sqrt.f32 (/.f32 x s)) (sqrt.f32 (log.f32 s))) (-.f32 (sqrt.f32 (/.f32 x s)) (sqrt.f32 (log.f32 s))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (/.f32 x s) 2) (.f32 (log.f32 s) (+.f32 (/.f32 x s) (log.f32 s)))) (-.f32 (pow.f32 (/.f32 x s) 3) (pow.f32 (log.f32 s) 3))))))) (#(struct:change 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s)) (neg.f32 (log.f32 s))) (.f32 (/.f32 x s) (neg.f32 (log.f32 s))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (/.f32 x s) 2) (.f32 (neg.f32 (log.f32 s)) (neg.f32 (log.f32 s)))) (-.f32 (/.f32 x s) (neg.f32 (log.f32 s))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (/.f32 x s) (log.f32 s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (-.f32 (/.f32 x s) (log.f32 s))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (-.f32 (/.f32 x s) (log.f32 s))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (/.f32 x s) (log.f32 s)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (-.f32 (/.f32 x s) (log.f32 s)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (/.f32 (exp.f32 (/.f32 x s)) s))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (-.f32 (/.f32 x s) (log.f32 s)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (-.f32 (/.f32 x s) (log.f32 s)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (-.f32 (/.f32 x s) (log.f32 s))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (-.f32 (/.f32 x s) (log.f32 s))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 x (/.f32 1 s) (neg.f32 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 x s) 1 (neg.f32 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (/.f32 x s) (neg.f32 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (.f32 (cbrt.f32 x) (/.f32 1 s)) (neg.f32 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (/.f32 x s)) (pow.f32 (cbrt.f32 (/.f32 x s)) 2) (neg.f32 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (/.f32 x s)) 2) (cbrt.f32 (/.f32 x s)) (neg.f32 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (.f32 (sqrt.f32 x) (/.f32 1 s)) (neg.f32 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (/.f32 x s)) (sqrt.f32 (/.f32 x s)) (neg.f32 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (neg.f32 x) (/.f32 1 (neg.f32 s)) (neg.f32 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 1 s) x (neg.f32 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 (pow.f32 (cbrt.f32 x) 2) 1) (/.f32 (cbrt.f32 x) s) (neg.f32 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 (sqrt.f32 x) 1) (/.f32 (sqrt.f32 x) s) (neg.f32 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 1 (pow.f32 (cbrt.f32 s) 2)) (/.f32 x (cbrt.f32 s)) (neg.f32 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 (pow.f32 (cbrt.f32 x) 2) (pow.f32 (cbrt.f32 s) 2)) (cbrt.f32 (/.f32 x s)) (neg.f32 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 (sqrt.f32 x) (pow.f32 (cbrt.f32 s) 2)) (/.f32 (sqrt.f32 x) (cbrt.f32 s)) (neg.f32 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 1 (sqrt.f32 s)) (/.f32 x (sqrt.f32 s)) (neg.f32 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 (pow.f32 (cbrt.f32 x) 2) (sqrt.f32 s)) (/.f32 (cbrt.f32 x) (sqrt.f32 s)) (neg.f32 (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (-.f32 (/.f32 x s) (log.f32 s))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (-.f32 (/.f32 x s) (log.f32 s))) 1))))))

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

432×	`times-frac_binary32`
341×	`fma-def_binary32`
277×	`associate-/l*_binary32`
261×	`associate-/r*_binary32`
181×	`associate-*r/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1989
1	450	1785
2	1508	1665

Stop Event

1×	node limit

Counts

259 → 234

Calls

Call 1

Inputs
(.f32 -1 (+.f32 (.f32 2 (log.f32 2)) (log.f32 s)))
(neg.f32 (+.f32 (.f32 2 (log.f32 2)) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 s))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (+.f32 (.f32 2 (log.f32 2)) (+.f32 (*.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 s))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (+.f32 (.f32 2 (log.f32 2)) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6))) (log.f32 s)))))
(/.f32 x s)
(-.f32 (/.f32 x s) (+.f32 (log.f32 s) (*.f32 2 (log.f32 (+.f32 1 (exp.f32 (/.f32 x s)))))))
(-.f32 (/.f32 x s) (+.f32 (log.f32 s) (*.f32 2 (log.f32 (+.f32 1 (exp.f32 (/.f32 x s)))))))
(-.f32 (/.f32 x s) (+.f32 (log.f32 s) (*.f32 2 (log.f32 (+.f32 1 (exp.f32 (/.f32 x s)))))))
(/.f32 x s)
(-.f32 (/.f32 x s) (+.f32 (log.f32 s) (*.f32 2 (log.f32 (+.f32 1 (exp.f32 (/.f32 x s)))))))
(-.f32 (/.f32 x s) (+.f32 (log.f32 s) (*.f32 2 (log.f32 (+.f32 1 (exp.f32 (/.f32 x s)))))))
(-.f32 (/.f32 x s) (+.f32 (log.f32 s) (*.f32 2 (log.f32 (+.f32 1 (exp.f32 (/.f32 x s)))))))
(/.f32 x s)
(-.f32 (/.f32 x s) (+.f32 (log.f32 s) (*.f32 2 (log.f32 (+.f32 1 (exp.f32 (/.f32 x s)))))))
(-.f32 (/.f32 x s) (+.f32 (log.f32 s) (*.f32 2 (log.f32 (+.f32 1 (exp.f32 (/.f32 x s)))))))
(-.f32 (/.f32 x s) (+.f32 (log.f32 s) (*.f32 2 (log.f32 (+.f32 1 (exp.f32 (/.f32 x s)))))))
(-.f32 (log.f32 (/.f32 1 s)) (*.f32 2 (log.f32 2)))
(-.f32 (log.f32 (/.f32 1 s)) (+.f32 (.f32 2 (log.f32 2)) (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2)))))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 1 s))) (+.f32 (.f32 2 (log.f32 2)) (*.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2)))))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 1 s))) (+.f32 (.f32 2 (log.f32 2)) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6))))))
(-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (*.f32 2 (log.f32 2)) (log.f32 -1)))
(-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (.f32 2 (log.f32 2)) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 -1))))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 -1 s))) (+.f32 (.f32 2 (log.f32 2)) (+.f32 (*.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 -1))))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 -1 s))) (+.f32 (.f32 2 (log.f32 2)) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6))) (log.f32 -1)))))
(log.f32 2)
(+.f32 (log.f32 2) (*.f32 1/2 (/.f32 x s)))
(+.f32 (log.f32 2) (+.f32 (.f32 1/8 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 1/2 (/.f32 x s))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (.f32 1/8 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 1/2 (/.f32 x s)))) (*.f32 1/192 (/.f32 (pow.f32 x 4) (pow.f32 s 4))))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log.f32 2)
(+.f32 (log.f32 2) (*.f32 1/2 (/.f32 x s)))
(+.f32 (log.f32 2) (+.f32 (.f32 1/8 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 1/2 (/.f32 x s))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (.f32 1/8 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 1/2 (/.f32 x s)))) (*.f32 1/192 (/.f32 (pow.f32 x 4) (pow.f32 s 4))))
(log.f32 2)
(+.f32 (log.f32 2) (*.f32 1/2 (/.f32 x s)))
(+.f32 (log.f32 2) (+.f32 (.f32 1/8 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 1/2 (/.f32 x s))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (.f32 1/8 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 1/2 (/.f32 x s)))) (*.f32 1/192 (/.f32 (pow.f32 x 4) (pow.f32 s 4))))
(exp.f32 (.f32 -1 (+.f32 (.f32 2 (log.f32 2)) (log.f32 s))))
(-.f32 (exp.f32 (.f32 -1 (+.f32 (.f32 2 (log.f32 2)) (log.f32 s)))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (.f32 -1 (+.f32 (.f32 2 (log.f32 2)) (log.f32 s)))) (pow.f32 x 2)) (pow.f32 s 2))))
(-.f32 (+.f32 (exp.f32 (.f32 -1 (+.f32 (.f32 2 (log.f32 2)) (log.f32 s)))) (.f32 1/24 (/.f32 (.f32 (exp.f32 (.f32 -1 (+.f32 (.f32 2 (log.f32 2)) (log.f32 s)))) (pow.f32 x 4)) (pow.f32 s 4)))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (.f32 -1 (+.f32 (.f32 2 (log.f32 2)) (log.f32 s)))) (pow.f32 x 2)) (pow.f32 s 2))))
(-.f32 (+.f32 (exp.f32 (.f32 -1 (+.f32 (.f32 2 (log.f32 2)) (log.f32 s)))) (.f32 1/24 (/.f32 (.f32 (exp.f32 (.f32 -1 (+.f32 (.f32 2 (log.f32 2)) (log.f32 s)))) (pow.f32 x 4)) (pow.f32 s 4)))) (+.f32 (.f32 1/4 (/.f32 (.f32 (exp.f32 (.f32 -1 (+.f32 (.f32 2 (log.f32 2)) (log.f32 s)))) (pow.f32 x 2)) (pow.f32 s 2))) (.f32 17/2880 (/.f32 (.f32 (exp.f32 (.f32 -1 (+.f32 (.f32 2 (log.f32 2)) (log.f32 s)))) (pow.f32 x 6)) (pow.f32 s 6)))))
(exp.f32 (-.f32 (/.f32 x s) (+.f32 (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))))
(exp.f32 (-.f32 (/.f32 x s) (+.f32 (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))))
(exp.f32 (-.f32 (/.f32 x s) (+.f32 (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))))
(exp.f32 (-.f32 (/.f32 x s) (+.f32 (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))))
(exp.f32 (.f32 -1 (-.f32 (+.f32 (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s)) (/.f32 x s))))
(exp.f32 (.f32 -1 (-.f32 (+.f32 (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s)) (/.f32 x s))))
(exp.f32 (.f32 -1 (-.f32 (+.f32 (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s)) (/.f32 x s))))
(exp.f32 (.f32 -1 (-.f32 (+.f32 (.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s)) (/.f32 x s))))
(exp.f32 (-.f32 (/.f32 x s) (+.f32 (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))))
(exp.f32 (-.f32 (/.f32 x s) (+.f32 (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))))
(exp.f32 (-.f32 (/.f32 x s) (+.f32 (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))))
(exp.f32 (-.f32 (/.f32 x s) (+.f32 (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))))
(exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (*.f32 2 (log.f32 2))))
(-.f32 (exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (.f32 2 (log.f32 2)))) (.f32 1/4 (/.f32 (.f32 (pow.f32 x 2) (exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (.f32 2 (log.f32 2))))) (pow.f32 s 2))))
(-.f32 (+.f32 (.f32 1/24 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (.f32 2 (log.f32 2)))) (pow.f32 x 4)) (pow.f32 s 4))) (exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (.f32 2 (log.f32 2))))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (*.f32 2 (log.f32 2)))) (pow.f32 x 2)) (pow.f32 s 2))))
(-.f32 (+.f32 (.f32 1/24 (/.f32 (.f32 (pow.f32 x 4) (exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (.f32 2 (log.f32 2))))) (pow.f32 s 4))) (exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (.f32 2 (log.f32 2))))) (+.f32 (.f32 17/2880 (/.f32 (.f32 (pow.f32 x 6) (exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (.f32 2 (log.f32 2))))) (pow.f32 s 6))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 1 s)) (.f32 2 (log.f32 2)))) (pow.f32 x 2)) (pow.f32 s 2)))))
(exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (*.f32 2 (log.f32 2)) (log.f32 -1))))
(-.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (.f32 2 (log.f32 2)) (log.f32 -1)))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (.f32 2 (log.f32 2)) (log.f32 -1)))) (pow.f32 x 2)) (pow.f32 s 2))))
(-.f32 (+.f32 (.f32 1/24 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (.f32 2 (log.f32 2)) (log.f32 -1)))) (pow.f32 x 4)) (pow.f32 s 4))) (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (.f32 2 (log.f32 2)) (log.f32 -1))))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (*.f32 2 (log.f32 2)) (log.f32 -1)))) (pow.f32 x 2)) (pow.f32 s 2))))
(-.f32 (+.f32 (.f32 1/24 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (.f32 2 (log.f32 2)) (log.f32 -1)))) (pow.f32 x 4)) (pow.f32 s 4))) (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (.f32 2 (log.f32 2)) (log.f32 -1))))) (+.f32 (.f32 17/2880 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (.f32 2 (log.f32 2)) (log.f32 -1)))) (pow.f32 x 6)) (pow.f32 s 6))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (.f32 2 (log.f32 2)) (log.f32 -1)))) (pow.f32 x 2)) (pow.f32 s 2)))))
(*.f32 -1 (log.f32 s))
(/.f32 x s)
(/.f32 x s)
(/.f32 x s)
(log.f32 (/.f32 1 s))
(+.f32 (log.f32 (/.f32 1 s)) (/.f32 x s))
(+.f32 (log.f32 (/.f32 1 s)) (/.f32 x s))
(+.f32 (log.f32 (/.f32 1 s)) (/.f32 x s))
(-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -1))
(-.f32 (+.f32 (/.f32 x s) (log.f32 (/.f32 -1 s))) (log.f32 -1))
(-.f32 (+.f32 (/.f32 x s) (log.f32 (/.f32 -1 s))) (log.f32 -1))
(-.f32 (+.f32 (/.f32 x s) (log.f32 (/.f32 -1 s))) (log.f32 -1))

Outputs
(.f32 -1 (+.f32 (.f32 2 (log.f32 2)) (log.f32 s)))
(neg.f32 (fma.f32 2 (log.f32 2) (log.f32 s)))
(-.f32 (*.f32 (log.f32 2) -2) (log.f32 s))
(neg.f32 (+.f32 (.f32 2 (log.f32 2)) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 s))))
(neg.f32 (fma.f32 2 (log.f32 2) (fma.f32 1/4 (/.f32 (.f32 x x) (.f32 s s)) (log.f32 s))))
(-.f32 (.f32 (log.f32 2) -2) (fma.f32 1/4 (.f32 (/.f32 x s) (/.f32 x s)) (log.f32 s)))
(-.f32 (fma.f32 (log.f32 2) -2 (.f32 (.f32 (/.f32 x (*.f32 s s)) x) -1/4)) (log.f32 s))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (+.f32 (.f32 2 (log.f32 2)) (+.f32 (*.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 s))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (/.f32 (.f32 x x) (*.f32 s s)) (log.f32 s))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (.f32 (/.f32 x s) (/.f32 x s)) (log.f32 s))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (.f32 (/.f32 x (*.f32 s s)) x) (log.f32 s))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (+.f32 (.f32 2 (log.f32 2)) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6))) (log.f32 s)))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (/.f32 (.f32 x x) (*.f32 s s)) (fma.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (log.f32 s)))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (.f32 (/.f32 x s) (/.f32 x s)) (fma.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (log.f32 s)))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (.f32 (/.f32 x (*.f32 s s)) x) (fma.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (log.f32 s)))))
(/.f32 x s)
(-.f32 (/.f32 x s) (+.f32 (log.f32 s) (*.f32 2 (log.f32 (+.f32 1 (exp.f32 (/.f32 x s)))))))
(-.f32 (/.f32 x s) (fma.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))) (log.f32 s)))
(-.f32 (/.f32 x s) (+.f32 (log.f32 s) (*.f32 2 (log.f32 (+.f32 1 (exp.f32 (/.f32 x s)))))))
(-.f32 (/.f32 x s) (fma.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))) (log.f32 s)))
(-.f32 (/.f32 x s) (+.f32 (log.f32 s) (*.f32 2 (log.f32 (+.f32 1 (exp.f32 (/.f32 x s)))))))
(-.f32 (/.f32 x s) (fma.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))) (log.f32 s)))
(/.f32 x s)
(-.f32 (/.f32 x s) (+.f32 (log.f32 s) (*.f32 2 (log.f32 (+.f32 1 (exp.f32 (/.f32 x s)))))))
(-.f32 (/.f32 x s) (fma.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))) (log.f32 s)))
(-.f32 (/.f32 x s) (+.f32 (log.f32 s) (*.f32 2 (log.f32 (+.f32 1 (exp.f32 (/.f32 x s)))))))
(-.f32 (/.f32 x s) (fma.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))) (log.f32 s)))
(-.f32 (/.f32 x s) (+.f32 (log.f32 s) (*.f32 2 (log.f32 (+.f32 1 (exp.f32 (/.f32 x s)))))))
(-.f32 (/.f32 x s) (fma.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))) (log.f32 s)))
(/.f32 x s)
(-.f32 (/.f32 x s) (+.f32 (log.f32 s) (*.f32 2 (log.f32 (+.f32 1 (exp.f32 (/.f32 x s)))))))
(-.f32 (/.f32 x s) (fma.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))) (log.f32 s)))
(-.f32 (/.f32 x s) (+.f32 (log.f32 s) (*.f32 2 (log.f32 (+.f32 1 (exp.f32 (/.f32 x s)))))))
(-.f32 (/.f32 x s) (fma.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))) (log.f32 s)))
(-.f32 (/.f32 x s) (+.f32 (log.f32 s) (*.f32 2 (log.f32 (+.f32 1 (exp.f32 (/.f32 x s)))))))
(-.f32 (/.f32 x s) (fma.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))) (log.f32 s)))
(-.f32 (log.f32 (/.f32 1 s)) (*.f32 2 (log.f32 2)))
(neg.f32 (fma.f32 2 (log.f32 2) (log.f32 s)))
(-.f32 (*.f32 (log.f32 2) -2) (log.f32 s))
(-.f32 (log.f32 (/.f32 1 s)) (+.f32 (.f32 2 (log.f32 2)) (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2)))))
(neg.f32 (fma.f32 2 (log.f32 2) (fma.f32 1/4 (/.f32 (.f32 x x) (.f32 s s)) (log.f32 s))))
(-.f32 (.f32 (log.f32 2) -2) (fma.f32 1/4 (.f32 (/.f32 x s) (/.f32 x s)) (log.f32 s)))
(-.f32 (fma.f32 (log.f32 2) -2 (.f32 (.f32 (/.f32 x (*.f32 s s)) x) -1/4)) (log.f32 s))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 1 s))) (+.f32 (.f32 2 (log.f32 2)) (*.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2)))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (/.f32 (.f32 x x) (*.f32 s s)) (log.f32 s))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (.f32 (/.f32 x s) (/.f32 x s)) (log.f32 s))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (.f32 (/.f32 x (*.f32 s s)) x) (log.f32 s))))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 1 s))) (+.f32 (.f32 2 (log.f32 2)) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6))))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (/.f32 (.f32 x x) (*.f32 s s)) (fma.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (log.f32 s)))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (.f32 (/.f32 x s) (/.f32 x s)) (fma.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (log.f32 s)))))
(-.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (.f32 (/.f32 x (*.f32 s s)) x) (fma.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (log.f32 s)))))
(-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (*.f32 2 (log.f32 2)) (log.f32 -1)))
(-.f32 (log.f32 (/.f32 -1 s)) (fma.f32 2 (log.f32 2) (log.f32 -1)))
(-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (.f32 2 (log.f32 2)) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 -1))))
(-.f32 (log.f32 (/.f32 -1 s)) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (/.f32 (.f32 x x) (.f32 s s)) (log.f32 -1))))
(-.f32 (log.f32 (/.f32 -1 s)) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (*.f32 (/.f32 x s) (/.f32 x s)) (log.f32 -1))))
(-.f32 (log.f32 (/.f32 -1 s)) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (.f32 (/.f32 x (.f32 s s)) x) (log.f32 -1))))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 -1 s))) (+.f32 (.f32 2 (log.f32 2)) (+.f32 (*.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (log.f32 -1))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (log.f32 (/.f32 -1 s))) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (/.f32 (.f32 x x) (.f32 s s)) (log.f32 -1))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (log.f32 (/.f32 -1 s))) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (*.f32 (/.f32 x s) (/.f32 x s)) (log.f32 -1))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (log.f32 (/.f32 -1 s))) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (.f32 (/.f32 x (.f32 s s)) x) (log.f32 -1))))
(-.f32 (+.f32 (.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 -1 s))) (+.f32 (.f32 2 (log.f32 2)) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6))) (log.f32 -1)))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (log.f32 (/.f32 -1 s))) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (/.f32 (.f32 x x) (.f32 s s)) (fma.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (log.f32 -1)))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (log.f32 (/.f32 -1 s))) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (*.f32 (/.f32 x s) (/.f32 x s)) (fma.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (log.f32 -1)))))
(-.f32 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (log.f32 (/.f32 -1 s))) (fma.f32 2 (log.f32 2) (fma.f32 1/4 (.f32 (/.f32 x (.f32 s s)) x) (fma.f32 1/1440 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (log.f32 -1)))))
(log.f32 2)
(+.f32 (log.f32 2) (*.f32 1/2 (/.f32 x s)))
(+.f32 (log.f32 2) (*.f32 (/.f32 x s) 1/2))
(fma.f32 (/.f32 x s) 1/2 (log.f32 2))
(+.f32 (log.f32 2) (+.f32 (.f32 1/8 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 1/2 (/.f32 x s))))
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(fma.f32 1/4 (/.f32 (.f32 (.f32 (/.f32 x (*.f32 s s)) x) -1/4) s) (/.f32 1/4 s))
(-.f32 (+.f32 (.f32 1/24 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (.f32 2 (log.f32 2)) (log.f32 -1)))) (pow.f32 x 4)) (pow.f32 s 4))) (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (.f32 2 (log.f32 2)) (log.f32 -1))))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (*.f32 2 (log.f32 2)) (log.f32 -1)))) (pow.f32 x 2)) (pow.f32 s 2))))
(+.f32 (exp.f32 (neg.f32 (fma.f32 2 (log.f32 2) (log.f32 s)))) (-.f32 (.f32 1/24 (/.f32 (exp.f32 (neg.f32 (fma.f32 2 (log.f32 2) (log.f32 s)))) (/.f32 (pow.f32 s 4) (pow.f32 x 4)))) (.f32 1/4 (/.f32 (exp.f32 (neg.f32 (fma.f32 2 (log.f32 2) (log.f32 s)))) (/.f32 (.f32 s s) (.f32 x x))))))
(fma.f32 1/24 (.f32 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (/.f32 (/.f32 1 s) 4)) (+.f32 (/.f32 (/.f32 1 s) 4) (.f32 (.f32 (/.f32 (/.f32 (/.f32 1 s) 4) (.f32 s s)) (*.f32 x x)) -1/4)))
(fma.f32 1/4 (/.f32 (.f32 (.f32 (/.f32 x (.f32 s s)) x) -1/4) s) (fma.f32 1/24 (.f32 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (/.f32 1/4 s)) (/.f32 1/4 s)))
(-.f32 (+.f32 (.f32 1/24 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (.f32 2 (log.f32 2)) (log.f32 -1)))) (pow.f32 x 4)) (pow.f32 s 4))) (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (.f32 2 (log.f32 2)) (log.f32 -1))))) (+.f32 (.f32 17/2880 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (.f32 2 (log.f32 2)) (log.f32 -1)))) (pow.f32 x 6)) (pow.f32 s 6))) (.f32 1/4 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (/.f32 -1 s)) (+.f32 (.f32 2 (log.f32 2)) (log.f32 -1)))) (pow.f32 x 2)) (pow.f32 s 2)))))
(+.f32 (exp.f32 (neg.f32 (fma.f32 2 (log.f32 2) (log.f32 s)))) (-.f32 (.f32 1/24 (/.f32 (exp.f32 (neg.f32 (fma.f32 2 (log.f32 2) (log.f32 s)))) (/.f32 (pow.f32 s 4) (pow.f32 x 4)))) (fma.f32 1/4 (/.f32 (exp.f32 (neg.f32 (fma.f32 2 (log.f32 2) (log.f32 s)))) (/.f32 (.f32 s s) (.f32 x x))) (.f32 17/2880 (/.f32 (*.f32 (pow.f32 x 6) (exp.f32 (neg.f32 (fma.f32 2 (log.f32 2) (log.f32 s))))) (pow.f32 s 6))))))
(-.f32 (fma.f32 1/24 (.f32 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (/.f32 (/.f32 1 s) 4)) (/.f32 (/.f32 1 s) 4)) (fma.f32 1/4 (.f32 (/.f32 (/.f32 (/.f32 1 s) 4) (.f32 s s)) (.f32 x x)) (/.f32 (*.f32 (pow.f32 x 6) 17/2880) (/.f32 (pow.f32 s 6) (/.f32 (/.f32 1 s) 4)))))
(+.f32 (fma.f32 1/24 (.f32 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (/.f32 1/4 s)) (/.f32 1/4 s)) (fma.f32 1/4 (/.f32 (.f32 (.f32 (/.f32 x (.f32 s s)) x) -1/4) s) (.f32 (.f32 (/.f32 (pow.f32 x 6) (pow.f32 s 6)) (/.f32 1/4 s)) -17/2880)))
(*.f32 -1 (log.f32 s))
(neg.f32 (log.f32 s))
(/.f32 x s)
(/.f32 x s)
(/.f32 x s)
(log.f32 (/.f32 1 s))
(neg.f32 (log.f32 s))
(+.f32 (log.f32 (/.f32 1 s)) (/.f32 x s))
(+.f32 (/.f32 x s) (neg.f32 (log.f32 s)))
(-.f32 (/.f32 x s) (log.f32 s))
(+.f32 (log.f32 (/.f32 1 s)) (/.f32 x s))
(+.f32 (/.f32 x s) (neg.f32 (log.f32 s)))
(-.f32 (/.f32 x s) (log.f32 s))
(+.f32 (log.f32 (/.f32 1 s)) (/.f32 x s))
(+.f32 (/.f32 x s) (neg.f32 (log.f32 s)))
(-.f32 (/.f32 x s) (log.f32 s))
(-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -1))
(-.f32 (+.f32 (/.f32 x s) (log.f32 (/.f32 -1 s))) (log.f32 -1))
(+.f32 (/.f32 x s) (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -1)))
(+.f32 (log.f32 (/.f32 -1 s)) (-.f32 (/.f32 x s) (log.f32 -1)))
(-.f32 (+.f32 (/.f32 x s) (log.f32 (/.f32 -1 s))) (log.f32 -1))
(+.f32 (/.f32 x s) (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -1)))
(+.f32 (log.f32 (/.f32 -1 s)) (-.f32 (/.f32 x s) (log.f32 -1)))
(-.f32 (+.f32 (/.f32 x s) (log.f32 (/.f32 -1 s))) (log.f32 -1))
(+.f32 (/.f32 x s) (-.f32 (log.f32 (/.f32 -1 s)) (log.f32 -1)))
(+.f32 (log.f32 (/.f32 -1 s)) (-.f32 (/.f32 x s) (log.f32 -1)))

prune200.0ms (3.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	232	2	234
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	234	6	240

Error

0.1b

Counts

240 → 6

Alt Table

Status	Error	Program
✓	5.7b	(pow.f32 (E.f32) (-.f32 (-.f32 (/.f32 x s) (log.f32 s)) (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s))))))
	12.4b	(pow.f32 (/.f32 s (/.f32 (exp.f32 (/.f32 x s)) (+.f32 1 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 2 (exp.f32 (/.f32 x s))))))) -1)
✓	0.2b	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))
	5.0b	(/.f32 (exp.f32 (+.f32 (/.f32 x s) (*.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2))) s)
	12.4b	(.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (E.f32) (.f32 (log1p.f32 (exp.f32 (/.f32 x s))) -2)))
	5.8b	(exp.f32 (pow.f32 (cbrt.f32 (-.f32 (-.f32 (/.f32 x s) (log.f32 s)) (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))))) 3))

Compiler

Compiled 5968 to 2702 computations (54.7% saved)

regimes1.5s (25.3%)

Accuracy

Total 0.1b remaining (53.1%)

Threshold costs 0.1b (53.1%)

Counts

276 → 1

Compiler

Compiled 31800 to 21047 computations (33.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary32`
4×	`*-commutative_binary32`
2×	`sub-neg_binary32`
2×	`neg-sub0_binary32`
1×	`distribute-frac-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	30	46
2	33	46
3	35	46
4	36	46

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 s (+.f32 1 (+.f32 (.f32 2 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))

Outputs

(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (+.f32 1 (+.f32 (*.f32 2 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2)))))

(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (+.f32 1 (+.f32 (*.f32 2 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (pow.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))))

end95.0ms (1.6%)

Stop Event

1×

fuel

Compiler

Compiled 188 to 112 computations (40.4% saved)

Details

analyze97.0ms (1.6%)

sample1.4s (23.3%)

preprocess29.0ms (0.5%)

simplify38.0ms (0.6%)

prune3.0ms (0.1%)

localize34.0ms (0.6%)

series132.0ms (2.2%)

rewrite73.0ms (1.2%)

simplify61.0ms (1%)

prune255.0ms (4.3%)

localize54.0ms (0.9%)

series183.0ms (3.1%)

rewrite37.0ms (0.6%)

simplify48.0ms (0.8%)

prune197.0ms (3.3%)

localize32.0ms (0.5%)

series584.0ms (9.8%)

rewrite96.0ms (1.6%)

simplify53.0ms (0.9%)

prune242.0ms (4.1%)

localize40.0ms (0.7%)

series364.0ms (6.1%)

rewrite75.0ms (1.3%)

simplify48.0ms (0.8%)

prune200.0ms (3.3%)

regimes1.5s (25.3%)

simplify3.0ms (0.1%)

end95.0ms (1.6%)

Profiling