Details

analyze105.0ms (2.9%)

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)

sample1.5s (39.9%)

Results

1.5s

8256×

body

128

valid

Compiler

Compiled 70 to 36 computations (48.6% saved)

preprocess32.0ms (0.9%)

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 (1%)

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

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.2b	(/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s)
▶	0.1b	(/.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

0.2b

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

▶

0.1b

(/.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 (0.9%)

Local error

Found 4 expressions with local error:

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

series24.0ms (0.7%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	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)))))
3.0ms	x	@	inf	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
2.0ms	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)))))
1.0ms	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)))))
1.0ms	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)))))

rewrite82.0ms (2.2%)

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	100
1	267	56
2	4114	56

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .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 x s))) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) 2) (cbrt.f32 (exp.f32 (/.f32 x 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 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 (E.f32) (/.f32 x s))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 x) (/.f32 1 s))))) (#(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 (pow.f32 (exp.f32 (/.f32 x s)) 3) 1/3)))) (#(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 (exp.f32 (sqrt.f32 (/.f32 x s))) (sqrt.f32 (/.f32 x s)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) 2))))) (#(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 log1p.f32 (expm1.f32 (exp.f32 (/.f32 x s))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (exp.f32 (/.f32 x s))))))))
((#(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 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simplify59.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

490×	`fma-neg_binary32`
372×	`unswap-sqr_binary32`
290×	`times-frac_binary32`
280×	`distribute-neg-frac_binary32`
180×	`associate-r_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1990
1	248	1934
2	727	1858
3	3203	1848

Stop Event

1×	node limit

Counts

221 → 166

Calls

Call 1

Inputs
(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 (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)))))
(.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 s (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))))
(.f32 s (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))))
(.f32 s (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))))
(.f32 s (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))))
(*.f32 2 s)
(-.f32 (*.f32 2 s) (fabs.f32 x))
(-.f32 (+.f32 (.f32 2 s) (.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) s))) (fabs.f32 x))
(-.f32 (+.f32 (.f32 2 s) (.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) s))) (+.f32 (fabs.f32 x) (*.f32 1/6 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 2)))))
(*.f32 2 s)
(-.f32 (*.f32 2 s) (fabs.f32 x))
(-.f32 (+.f32 (.f32 2 s) (.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) s))) (fabs.f32 x))
(-.f32 (+.f32 (.f32 2 s) (.f32 1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) s))) (+.f32 (fabs.f32 x) (*.f32 1/6 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 s 2)))))
(.f32 s (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))))
(.f32 s (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))))
(.f32 s (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))))
(.f32 s (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))))
(.f32 s (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))))
(.f32 s (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))))
(.f32 s (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))))
(.f32 s (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))))
(.f32 s (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))))
(.f32 s (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))))
(.f32 s (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))))
(.f32 s (+.f32 1 (exp.f32 (.f32 -1 (/.f32 (fabs.f32 x) s)))))

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

prune241.0ms (6.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	219	5	224
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	220	6	226

Error

0.0b

Counts

226 → 6

Alt Table

Status	Error	Program
▶	0.1b	(/.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)))
	12.5b	(.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)))))
	0.2b	(/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s)
	4.4b	(exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))))
	12.6b	(*.f32 (exp.f32 (/.f32 x s)) (/.f32 (/.f32 1 s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))
	12.8b	(/.f32 (pow.f32 (E.f32) (/.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 6391 to 2347 computations (63.3% saved)

localize34.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.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)))
0.0ms	s	@	inf	(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)
0.0ms	s	@	inf	(/.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)))
0.0ms	x	@	-inf	(/.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)))
0.0ms	s	@	0	(/.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)))

rewrite68.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

270×	`prod-diff_binary32`
199×	`expm1-udef_binary32`
199×	`log1p-udef_binary32`
140×	`add-sqr-sqrt_binary32`
136×	`pow1_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	281	44
2	3868	44

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs

(/.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)))

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

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

Outputs
((#(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 (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 (/.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 (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 (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 (cbrt.f32 (pow.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 (/.f32 (exp.f32 (/.f32 x s)) s)) (+.f32 (exp.f32 (/.f32 x s)) 1)) (/.f32 (sqrt.f32 (/.f32 (exp.f32 (/.f32 x s)) 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 (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2) (neg.f32 s))))))) (#(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 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 (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 (cbrt.f32 (pow.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))) 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 (cbrt.f32 (pow.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 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Outputs

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

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

simplify50.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

375×	`fma-neg_binary32`
335×	`distribute-rgt-neg-in_binary32`
316×	`unswap-sqr_binary32`
293×	`times-frac_binary32`
285×	`distribute-neg-frac_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	1550
1	209	1514
2	632	1474
3	3035	1470

Stop Event

1×	node limit

Counts

177 → 133

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

prune206.0ms (5.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	188	3	191
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	191	6	197

Error

0.0b

Counts

197 → 6

Alt Table

Status	Error	Program
	12.8b	(/.f32 (pow.f32 (E.f32) (/.f32 x s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)))
▶	0.2b	(/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s)
✓	0.1b	(/.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)))
	12.4b	(*.f32 1 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))
	12.5b	(.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)))))
	4.5b	(exp.f32 (-.f32 (/.f32 x s) (+.f32 (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))))

Compiler

Compiled 4745 to 2092 computations (55.9% saved)

localize46.0ms (1.3%)

Local error

Found 4 expressions with local error:

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

series13.0ms (0.4%)

Counts

4 → 80

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s)
1.0ms	x	@	inf	(/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s)
1.0ms	x	@	0	(/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s)
1.0ms	x	@	0	(/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2)))
1.0ms	s	@	inf	(/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2)))

rewrite67.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`prod-diff_binary32`
169×	`add-sqr-sqrt_binary32`
164×	`*-un-lft-identity_binary32`
164×	`pow1_binary32`
158×	`add-log-exp_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	75
1	331	55
2	4970	55

Stop Event

1×	node limit

Counts

4 → 98

Calls

Call 1

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

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

simplify52.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

386×	`times-frac_binary32`
371×	`fma-neg_binary32`
370×	`unswap-sqr_binary32`
359×	`distribute-rgt-neg-in_binary32`
306×	`distribute-neg-frac_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	1764
1	208	1716
2	628	1688
3	3088	1654

Stop Event

1×	node limit

Counts

178 → 110

Calls

Call 1

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

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

prune104.0ms (2.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	110	6	116

Error

0.0b

Counts

116 → 6

Alt Table

Status	Error	Program
	12.8b	(/.f32 (pow.f32 (E.f32) (/.f32 x s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)))
✓	0.2b	(/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s)
✓	0.1b	(/.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)))
	12.4b	(*.f32 1 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))
	12.5b	(.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)))))
▶	4.5b	(exp.f32 (-.f32 (/.f32 x s) (+.f32 (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))))

Compiler

Compiled 2657 to 1340 computations (49.6% saved)

localize33.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))
✓	0.4b	(exp.f32 (-.f32 (/.f32 x s) (+.f32 (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))))
✓	1.2b	(log1p.f32 (exp.f32 (/.f32 x s)))
✓	3.9b	(-.f32 (/.f32 x s) (+.f32 (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s)))

series136.0ms (3.7%)

Counts

4 → 84

Calls

24 calls:

Time	Variable		Point	Expression
35.0ms	s	@	0	(log1p.f32 (exp.f32 (/.f32 x s)))
29.0ms	x	@	inf	(log1p.f32 (exp.f32 (/.f32 x s)))
13.0ms	s	@	0	(+.f32 (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))
11.0ms	x	@	-inf	(log1p.f32 (exp.f32 (/.f32 x s)))
10.0ms	x	@	inf	(+.f32 (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))

rewrite100.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`fma-def_binary32`
332×	`fma-neg_binary32`
236×	`expm1-udef_binary32`
236×	`log1p-udef_binary32`
134×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	258	64
2	3742	64

Stop Event

1×	node limit

Counts

4 → 219

Calls

Call 1

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

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

simplify51.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

434×	`fma-def_binary32`
430×	`times-frac_binary32`
275×	`associate-/l*_binary32`
268×	`associate-/r*_binary32`
204×	`sub-neg_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	2091
1	505	1863
2	1718	1737

Stop Event

1×	node limit

Counts

303 → 284

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

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 x) (*.f32 s s)) -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))) (+.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 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (.f32 (log.f32 2) -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 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (fma.f32 (log.f32 2) -2 (.f32 (/.f32 (.f32 x x) (*.f32 s s)) -1/4))) (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) (+.f32 (log.f32 s) (*.f32 2 (log1p.f32 (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) (+.f32 (log.f32 s) (*.f32 2 (log1p.f32 (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) (+.f32 (log.f32 s) (*.f32 2 (log1p.f32 (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) (+.f32 (log.f32 s) (*.f32 2 (log1p.f32 (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) (+.f32 (log.f32 s) (*.f32 2 (log1p.f32 (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) (+.f32 (log.f32 s) (*.f32 2 (log1p.f32 (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) (+.f32 (log.f32 s) (*.f32 2 (log1p.f32 (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) (+.f32 (log.f32 s) (*.f32 2 (log1p.f32 (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) (+.f32 (log.f32 s) (*.f32 2 (log1p.f32 (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 x) (*.f32 s s)) -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 (.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 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (.f32 (log.f32 2) -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 (fma.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (fma.f32 (log.f32 2) -2 (.f32 (/.f32 (.f32 x x) (*.f32 s s)) -1/4))) (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 (+.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 (+.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)))))
(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))))
(+.f32 (log.f32 2) (fma.f32 1/8 (/.f32 (.f32 x x) (.f32 s s)) (*.f32 (/.f32 x s) 1/2)))
(+.f32 (log.f32 2) (fma.f32 (.f32 (/.f32 x s) (/.f32 x s)) 1/8 (.f32 (/.f32 x s) 1/2)))
(fma.f32 (/.f32 x s) 1/2 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) 1/8 (log.f32 2)))
(-.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))))
(+.f32 (log.f32 2) (-.f32 (fma.f32 1/8 (/.f32 (.f32 x x) (.f32 s s)) (.f32 (/.f32 x s) 1/2)) (.f32 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) 1/192)))
(+.f32 (log.f32 2) (+.f32 (fma.f32 (.f32 (/.f32 x s) (/.f32 x s)) 1/8 (.f32 (/.f32 x s) 1/2)) (*.f32 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) -1/192)))
(fma.f32 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) -1/192 (fma.f32 (/.f32 x s) 1/2 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) 1/8 (log.f32 2))))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 x s)))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 x s)))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 x s)))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 x s)))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 x s)))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 x s)))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 x s)))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 x s)))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 x s)))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 x s)))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 x s)))
(log.f32 (+.f32 1 (exp.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 x s)))
(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))))
(+.f32 (log.f32 2) (fma.f32 1/8 (/.f32 (.f32 x x) (.f32 s s)) (*.f32 (/.f32 x s) 1/2)))
(+.f32 (log.f32 2) (fma.f32 (.f32 (/.f32 x s) (/.f32 x s)) 1/8 (.f32 (/.f32 x s) 1/2)))
(fma.f32 (/.f32 x s) 1/2 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) 1/8 (log.f32 2)))
(-.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))))
(+.f32 (log.f32 2) (-.f32 (fma.f32 1/8 (/.f32 (.f32 x x) (.f32 s s)) (.f32 (/.f32 x s) 1/2)) (.f32 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) 1/192)))
(+.f32 (log.f32 2) (+.f32 (fma.f32 (.f32 (/.f32 x s) (/.f32 x s)) 1/8 (.f32 (/.f32 x s) 1/2)) (*.f32 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) -1/192)))
(fma.f32 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) -1/192 (fma.f32 (/.f32 x s) 1/2 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) 1/8 (log.f32 2))))
(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))))
(+.f32 (log.f32 2) (fma.f32 1/8 (/.f32 (.f32 x x) (.f32 s s)) (*.f32 (/.f32 x s) 1/2)))
(+.f32 (log.f32 2) (fma.f32 (.f32 (/.f32 x s) (/.f32 x s)) 1/8 (.f32 (/.f32 x s) 1/2)))
(fma.f32 (/.f32 x s) 1/2 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) 1/8 (log.f32 2)))
(-.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))))
(+.f32 (log.f32 2) (-.f32 (fma.f32 1/8 (/.f32 (.f32 x x) (.f32 s s)) (.f32 (/.f32 x s) 1/2)) (.f32 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) 1/192)))
(+.f32 (log.f32 2) (+.f32 (fma.f32 (.f32 (/.f32 x s) (/.f32 x s)) 1/8 (.f32 (/.f32 x s) 1/2)) (*.f32 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) -1/192)))
(fma.f32 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) -1/192 (fma.f32 (/.f32 x s) 1/2 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) 1/8 (log.f32 2))))
(exp.f32 (neg.f32 (+.f32 (*.f32 2 (log.f32 2)) (log.f32 s))))
(exp.f32 (neg.f32 (fma.f32 2 (log.f32 2) (log.f32 s))))
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(+.f32 (fma.f32 2 (log.f32 2) (log.f32 s)) (/.f32 x s))
(+.f32 (log.f32 s) (fma.f32 2 (log.f32 2) (/.f32 x s)))
(-.f32 (+.f32 (.f32 2 (log.f32 2)) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (/.f32 x s) (log.f32 -1)))) (log.f32 (/.f32 -1 s)))
(fma.f32 2 (log.f32 2) (fma.f32 1/4 (/.f32 (.f32 x x) (.f32 s s)) (+.f32 (log.f32 s) (/.f32 x s))))
(+.f32 (fma.f32 1/4 (*.f32 (/.f32 x s) (/.f32 x s)) (log.f32 s)) (fma.f32 2 (log.f32 2) (/.f32 x s)))
(fma.f32 1/4 (/.f32 (.f32 x x) (.f32 s s)) (+.f32 (fma.f32 2 (log.f32 2) (log.f32 s)) (/.f32 x s)))
(-.f32 (+.f32 (.f32 2 (log.f32 2)) (+.f32 (.f32 1/4 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (/.f32 x s) (log.f32 -1)))) (+.f32 (*.f32 1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))) (log.f32 (/.f32 -1 s))))
(+.f32 (fma.f32 2 (log.f32 2) (fma.f32 1/4 (/.f32 (.f32 x x) (.f32 s s)) (+.f32 (log.f32 s) (/.f32 x s)))) (*.f32 -1/96 (/.f32 (pow.f32 x 4) (pow.f32 s 4))))
(+.f32 (+.f32 (fma.f32 1/4 (.f32 (/.f32 x s) (/.f32 x s)) (log.f32 s)) (fma.f32 2 (log.f32 2) (/.f32 x s))) (.f32 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) -1/96))
(fma.f32 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) -1/96 (fma.f32 1/4 (/.f32 (.f32 x x) (.f32 s s)) (+.f32 (fma.f32 2 (log.f32 2) (log.f32 s)) (/.f32 x s))))

prune273.0ms (7.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	283	1	284
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	284	6	290

Error

0.0b

Counts

290 → 6

Alt Table

Status	Error	Program
	12.8b	(/.f32 (pow.f32 (E.f32) (/.f32 x s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)))
✓	0.2b	(/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s)
✓	0.1b	(/.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)))
	12.4b	(*.f32 1 (/.f32 (/.f32 (exp.f32 (/.f32 x s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2)))
	4.0b	(/.f32 (exp.f32 (+.f32 (/.f32 x s) (*.f32 -2 (log1p.f32 (exp.f32 (/.f32 x s)))))) s)
✓	4.5b	(exp.f32 (-.f32 (/.f32 x s) (+.f32 (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s))))

Compiler

Compiled 8102 to 3759 computations (53.6% saved)

regimes253.0ms (6.9%)

Accuracy

Total 0.1b remaining (56.1%)

Threshold costs 0.1b (56.1%)

Counts

102 → 1

Compiler

Compiled 1725 to 783 computations (54.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary32`
3×	`*-commutative_binary32`
2×	`sub-neg_binary32`
2×	`neg-sub0_binary32`
2×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	22	31
2	26	31
3	29	31
4	30	31

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.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)))

Outputs
(/.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)))

end90.0ms (2.5%)

Stop Event

1×

fuel

Compiler

Compiled 155 to 98 computations (36.8% saved)

Details

analyze105.0ms (2.9%)

sample1.5s (39.9%)

preprocess32.0ms (0.9%)

simplify38.0ms (1%)

prune3.0ms (0.1%)

localize34.0ms (0.9%)

series24.0ms (0.7%)

rewrite82.0ms (2.2%)

simplify59.0ms (1.6%)

prune241.0ms (6.6%)

localize34.0ms (0.9%)

series6.0ms (0.2%)

rewrite68.0ms (1.8%)

simplify50.0ms (1.4%)

prune206.0ms (5.6%)

localize46.0ms (1.3%)

series13.0ms (0.4%)

rewrite67.0ms (1.8%)

simplify52.0ms (1.4%)

prune104.0ms (2.8%)

localize33.0ms (0.9%)

series136.0ms (3.7%)

rewrite100.0ms (2.7%)

simplify51.0ms (1.4%)

prune273.0ms (7.4%)

regimes253.0ms (6.9%)

simplify2.0ms (0.1%)

end90.0ms (2.5%)

Profiling