Details

analyze47.0ms (0.9%)

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.4s (25.5%)

Results

1.3s

8256×

body

valid

preprocess53.0ms (1%)

Algorithm

2×	egg-herbie

Rules

632×	`fma-neg_binary32`
608×	`unswap-sqr_binary32`
549×	`exp-prod_binary32`
434×	`fma-def_binary32`
401×	`associate-/l*_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	27	28
2	45	28
3	69	28
4	96	28
5	160	28
6	306	28
7	665	28
8	1503	28
9	4050	28
10	7223	28
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify53.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1314×	`fma-neg_binary32`
518×	`unswap-sqr_binary32`
353×	`exp-prod_binary32`
340×	`times-frac_binary32`
331×	`associate-l_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	17	14
2	27	14
3	40	14
4	54	14
5	88	14
6	162	14
7	344	14
8	773	14
9	2616	14
10	5278	14
11	7980	14

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 33 to 27 computations (18.2% saved)

localize28.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

series9.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite60.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`pow1_binary32`
822×	`add-log-exp_binary32`
822×	`log1p-expm1-u_binary32`
822×	`expm1-log1p-u_binary32`
804×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	192	27
2	2671	27

Stop Event

1×	node limit

Counts

3 → 78

Calls

Call 1

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

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

Outputs

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

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

simplify45.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

777×	`associate-/r*_binary32`
497×	`*-commutative_binary32`
398×	`associate-+l+_binary32`
390×	`fma-def_binary32`
318×	`associate-/l/_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	956
1	220	934
2	798	874
3	3728	862

Stop Event

1×	node limit

Counts

150 → 109

Calls

Call 1

Inputs
1
(+.f32 1 (*.f32 -1 (/.f32 x s)))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
1
(+.f32 1 (*.f32 -1 (/.f32 x s)))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
1
(+.f32 1 (*.f32 -1 (/.f32 x s)))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
1/2
(+.f32 1/2 (*.f32 1/4 (/.f32 x s)))
(+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (.f32 -1/48 (/.f32 (pow.f32 x 3) (pow.f32 s 3)))))
(+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (+.f32 (.f32 -1/48 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (*.f32 1/480 (/.f32 (pow.f32 x 5) (pow.f32 s 5))))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
1/2
(+.f32 1/2 (*.f32 1/4 (/.f32 x s)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1/2 (.f32 1/4 (/.f32 x s))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (.f32 -1 (/.f32 (+.f32 (.f32 -1/24 (pow.f32 x 3)) (+.f32 (.f32 1/2 (.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) x)) (*.f32 1/16 (pow.f32 x 3)))) (pow.f32 s 3))))))
1/2
(+.f32 1/2 (*.f32 1/4 (/.f32 x s)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1/2 (.f32 1/4 (/.f32 x s))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) x) (pow.f32 s 3))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (+.f32 (.f32 1/24 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (.f32 -1/16 (/.f32 (pow.f32 x 3) (pow.f32 s 3))))))))
2
(+.f32 2 (*.f32 -1 (/.f32 x s)))
(+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1)
(+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1)
(+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1)
(+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1)
2
(+.f32 2 (*.f32 -1 (/.f32 x s)))
(+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
2
(+.f32 2 (*.f32 -1 (/.f32 x s)))
(+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))

Outputs
1
(+.f32 1 (*.f32 -1 (/.f32 x s)))
(+.f32 1 (neg.f32 (/.f32 x s)))
(-.f32 1 (/.f32 x s))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 1 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s))))
(+.f32 1 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)))
(-.f32 (fma.f32 (/.f32 1/2 s) (/.f32 (*.f32 x x) s) 1) (/.f32 x s))
(+.f32 1 (.f32 (/.f32 x s) (+.f32 (.f32 (/.f32 x s) 1/2) -1)))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (+.f32 1 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s)))))
(+.f32 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) 1))
(fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (-.f32 (fma.f32 (/.f32 1/2 s) (/.f32 (*.f32 x x) s) 1) (/.f32 x s)))
(+.f32 1 (fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (.f32 (/.f32 x s) (+.f32 (.f32 (/.f32 x s) 1/2) -1))))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
1
(+.f32 1 (*.f32 -1 (/.f32 x s)))
(+.f32 1 (neg.f32 (/.f32 x s)))
(-.f32 1 (/.f32 x s))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 1 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s))))
(+.f32 1 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)))
(-.f32 (fma.f32 (/.f32 1/2 s) (/.f32 (*.f32 x x) s) 1) (/.f32 x s))
(+.f32 1 (.f32 (/.f32 x s) (+.f32 (.f32 (/.f32 x s) 1/2) -1)))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (+.f32 1 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s)))))
(+.f32 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) 1))
(fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (-.f32 (fma.f32 (/.f32 1/2 s) (/.f32 (*.f32 x x) s) 1) (/.f32 x s)))
(+.f32 1 (fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (.f32 (/.f32 x s) (+.f32 (.f32 (/.f32 x s) 1/2) -1))))
1
(+.f32 1 (*.f32 -1 (/.f32 x s)))
(+.f32 1 (neg.f32 (/.f32 x s)))
(-.f32 1 (/.f32 x s))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 1 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s))))
(+.f32 1 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)))
(-.f32 (fma.f32 (/.f32 1/2 s) (/.f32 (*.f32 x x) s) 1) (/.f32 x s))
(+.f32 1 (.f32 (/.f32 x s) (+.f32 (.f32 (/.f32 x s) 1/2) -1)))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (+.f32 1 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s)))))
(+.f32 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) 1))
(fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (-.f32 (fma.f32 (/.f32 1/2 s) (/.f32 (*.f32 x x) s) 1) (/.f32 x s)))
(+.f32 1 (fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (.f32 (/.f32 x s) (+.f32 (.f32 (/.f32 x s) 1/2) -1))))
1/2
(+.f32 1/2 (*.f32 1/4 (/.f32 x s)))
(+.f32 1/2 (*.f32 (/.f32 x s) 1/4))
(fma.f32 (/.f32 x s) 1/4 1/2)
(+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (.f32 -1/48 (/.f32 (pow.f32 x 3) (pow.f32 s 3)))))
(+.f32 1/2 (fma.f32 1/4 (/.f32 x s) (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/48)))
(+.f32 1/2 (fma.f32 (/.f32 x s) 1/4 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/48)))
(fma.f32 (/.f32 x s) 1/4 (fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 1/2))
(+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (+.f32 (.f32 -1/48 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (*.f32 1/480 (/.f32 (pow.f32 x 5) (pow.f32 s 5))))))
(+.f32 1/2 (fma.f32 1/4 (/.f32 x s) (fma.f32 -1/48 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (*.f32 1/480 (/.f32 (pow.f32 x 5) (pow.f32 s 5))))))
(+.f32 1/2 (fma.f32 (/.f32 x s) 1/4 (fma.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/48 (*.f32 1/480 (/.f32 (pow.f32 x 5) (pow.f32 s 5))))))
(+.f32 1/2 (fma.f32 (/.f32 x s) 1/4 (fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 (*.f32 1/480 (/.f32 (pow.f32 x 5) (pow.f32 s 5))))))
(+.f32 1/2 (fma.f32 (/.f32 x s) 1/4 (fma.f32 1/480 (/.f32 (pow.f32 x 5) (pow.f32 s 5)) (/.f32 -1/48 (pow.f32 (/.f32 s x) 3)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
1/2
(+.f32 1/2 (*.f32 1/4 (/.f32 x s)))
(+.f32 1/2 (*.f32 (/.f32 x s) 1/4))
(fma.f32 (/.f32 x s) 1/4 1/2)
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1/2 (.f32 1/4 (/.f32 x s))))
(+.f32 1/2 (*.f32 (/.f32 x s) 1/4))
(fma.f32 (/.f32 x s) 1/4 1/2)
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (.f32 -1 (/.f32 (+.f32 (.f32 -1/24 (pow.f32 x 3)) (+.f32 (.f32 1/2 (.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) x)) (*.f32 1/16 (pow.f32 x 3)))) (pow.f32 s 3))))))
(+.f32 1/2 (fma.f32 1/4 (/.f32 x s) (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/48)))
(+.f32 1/2 (fma.f32 (/.f32 x s) 1/4 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/48)))
(fma.f32 (/.f32 x s) 1/4 (fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 1/2))
1/2
(+.f32 1/2 (*.f32 1/4 (/.f32 x s)))
(+.f32 1/2 (*.f32 (/.f32 x s) 1/4))
(fma.f32 (/.f32 x s) 1/4 1/2)
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1/2 (.f32 1/4 (/.f32 x s))))
(+.f32 1/2 (*.f32 (/.f32 x s) 1/4))
(fma.f32 (/.f32 x s) 1/4 1/2)
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) x) (pow.f32 s 3))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (+.f32 (.f32 1/24 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (.f32 -1/16 (/.f32 (pow.f32 x 3) (pow.f32 s 3))))))))
(+.f32 1/2 (fma.f32 1/4 (/.f32 x s) (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/48)))
(+.f32 1/2 (fma.f32 (/.f32 x s) 1/4 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/48)))
(fma.f32 (/.f32 x s) 1/4 (fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 1/2))
2
(+.f32 2 (*.f32 -1 (/.f32 x s)))
(+.f32 (neg.f32 (/.f32 x s)) 2)
(-.f32 2 (/.f32 x s))
(+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 2 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s))))
(+.f32 2 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)))
(-.f32 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2) (/.f32 x s))
(+.f32 2 (.f32 (/.f32 x s) (+.f32 (.f32 (/.f32 x s) 1/2) -1)))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (+.f32 2 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s)))))
(+.f32 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) 2))
(-.f32 (fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2)) (/.f32 x s))
(+.f32 2 (fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (.f32 (/.f32 x s) (+.f32 (.f32 (/.f32 x s) 1/2) -1))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1)
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1)
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1)
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1)
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
2
(+.f32 2 (*.f32 -1 (/.f32 x s)))
(+.f32 (neg.f32 (/.f32 x s)) 2)
(-.f32 2 (/.f32 x s))
(+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 2 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s))))
(+.f32 2 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)))
(-.f32 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2) (/.f32 x s))
(+.f32 2 (.f32 (/.f32 x s) (+.f32 (.f32 (/.f32 x s) 1/2) -1)))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (+.f32 2 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s)))))
(+.f32 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) 2))
(-.f32 (fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2)) (/.f32 x s))
(+.f32 2 (fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (.f32 (/.f32 x s) (+.f32 (.f32 (/.f32 x s) 1/2) -1))))
2
(+.f32 2 (*.f32 -1 (/.f32 x s)))
(+.f32 (neg.f32 (/.f32 x s)) 2)
(-.f32 2 (/.f32 x s))
(+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 2 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s))))
(+.f32 2 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)))
(-.f32 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2) (/.f32 x s))
(+.f32 2 (.f32 (/.f32 x s) (+.f32 (.f32 (/.f32 x s) 1/2) -1)))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (+.f32 2 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s)))))
(+.f32 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) 2))
(-.f32 (fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2)) (/.f32 x s))
(+.f32 2 (fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (.f32 (/.f32 x s) (+.f32 (.f32 (/.f32 x s) 1/2) -1))))

prune195.0ms (3.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	4	110

Error

0.0b

Counts

110 → 4

Alt Table

Status	Error	Program
✓	0.1b	(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
	24.5b	(fma.f32 (/.f32 x s) 1/4 (fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 1/2))
▶	0.1b	(/.f32 1 (+.f32 1 (/.f32 1 (exp.f32 (/.f32 x s)))))
	29.4b	(+.f32 1/2 (fma.f32 (/.f32 x s) 1/4 (fma.f32 1/480 (/.f32 (pow.f32 x 5) (pow.f32 s 5)) (/.f32 -1/48 (pow.f32 (/.f32 s x) 3)))))

Compiler

Compiled 1713 to 1057 computations (38.3% saved)

localize42.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

series13.0ms (0.2%)

Counts

4 → 48

Calls

24 calls:

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

rewrite98.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

452×	`log-prod_binary32`
355×	`exp-prod_binary32`
284×	`prod-exp_binary32`
244×	`pow2_binary32`
242×	`pow-prod-down_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	195	39
2	2594	39

Stop Event

1×	node limit

Counts

4 → 236

Calls

Call 1

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

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

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

911×	`fma-def_binary32`
475×	`associate-+l+_binary32`
468×	`times-frac_binary32`
424×	`associate-+r+_binary32`
358×	`associate-/l*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1047
1	371	967
2	1435	804
3	7624	804

Stop Event

1×	node limit

Counts

284 → 276

Calls

Call 1

Inputs
1
(+.f32 1 (/.f32 x s))
(+.f32 1 (+.f32 (/.f32 x s) (*.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2)))))
(+.f32 1 (+.f32 (/.f32 x s) (+.f32 (.f32 1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))))))
1
(+.f32 1 (/.f32 x s))
(+.f32 1 (+.f32 (/.f32 x s) (*.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2)))))
(+.f32 1 (+.f32 (/.f32 x s) (+.f32 (.f32 1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))))))
1
(+.f32 1 (/.f32 x s))
(+.f32 1 (+.f32 (/.f32 x s) (*.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2)))))
(+.f32 1 (+.f32 (/.f32 x s) (+.f32 (.f32 1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))))))
1/2
(+.f32 1/2 (*.f32 1/4 (/.f32 x s)))
(+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (.f32 -1/48 (/.f32 (pow.f32 x 3) (pow.f32 s 3)))))
(+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (+.f32 (.f32 -1/48 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (*.f32 1/480 (/.f32 (pow.f32 x 5) (pow.f32 s 5))))))
1/2
(+.f32 1/2 (*.f32 1/4 (/.f32 x s)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 -1/4 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))))) (pow.f32 s 2))) (+.f32 1/2 (.f32 1/4 (/.f32 x s))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 -1/4 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))))) (pow.f32 s 2))) (+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) x)) (+.f32 (.f32 -1/4 (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) x)) (+.f32 (.f32 1/6 (pow.f32 x 3)) (.f32 -1/2 (pow.f32 x 3))))) (.f32 1/2 (.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 -1/4 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))))) x)))) (pow.f32 s 3))))))
1/2
(+.f32 1/2 (*.f32 1/4 (/.f32 x s)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 -1/4 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))))) (pow.f32 s 2))) (+.f32 1/2 (.f32 1/4 (/.f32 x s))))
(+.f32 (.f32 1/8 (/.f32 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) x) (pow.f32 s 3))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 -1/4 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))))) x) (pow.f32 s 3))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 -1/4 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))))) (pow.f32 s 2))) (+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (.f32 -1/4 (/.f32 (+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 1/2 (pow.f32 x 3)) (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) x))) (pow.f32 s 3))))))))
1
(+.f32 1 (*.f32 -1 (/.f32 x s)))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
1
(+.f32 1 (*.f32 -1 (/.f32 x s)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1 (.f32 -1 (/.f32 x s))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1 (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) x)) (+.f32 (.f32 1/6 (pow.f32 x 3)) (.f32 -1/2 (pow.f32 x 3)))) (pow.f32 s 3))) (*.f32 -1 (/.f32 x s)))))
1
(+.f32 1 (*.f32 -1 (/.f32 x s)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1 (.f32 -1 (/.f32 x s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 1 (+.f32 (.f32 -1 (/.f32 x s)) (/.f32 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (*.f32 -1 (pow.f32 x 2))) x) (pow.f32 s 3)))))))
2
(+.f32 2 (*.f32 -1 (/.f32 x s)))
(+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
2
(+.f32 2 (*.f32 -1 (/.f32 x s)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 2 (.f32 -1 (/.f32 x s))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 2 (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) x)) (+.f32 (.f32 1/6 (pow.f32 x 3)) (.f32 -1/2 (pow.f32 x 3)))) (pow.f32 s 3))) (*.f32 -1 (/.f32 x s)))))
2
(+.f32 2 (*.f32 -1 (/.f32 x s)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 2 (.f32 -1 (/.f32 x s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 2 (+.f32 (.f32 -1 (/.f32 x s)) (/.f32 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (*.f32 -1 (pow.f32 x 2))) x) (pow.f32 s 3)))))))

Outputs
1
(+.f32 1 (/.f32 x s))
(+.f32 1 (+.f32 (/.f32 x s) (*.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2)))))
(+.f32 1 (+.f32 (/.f32 x s) (/.f32 (.f32 1/2 (.f32 x x)) (*.f32 s s))))
(+.f32 1 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) (/.f32 x s)))
(+.f32 1 (+.f32 (/.f32 x s) (+.f32 (.f32 1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))))))
(+.f32 1 (+.f32 (/.f32 x s) (fma.f32 1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (/.f32 (.f32 1/2 (.f32 x x)) (*.f32 s s)))))
(+.f32 (+.f32 1 (/.f32 x s)) (fma.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s)) (.f32 1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)))))
(+.f32 1 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) (fma.f32 1/6 (pow.f32 (/.f32 x s) 3) (/.f32 x s))))
1
(+.f32 1 (/.f32 x s))
(+.f32 1 (+.f32 (/.f32 x s) (*.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2)))))
(+.f32 1 (+.f32 (/.f32 x s) (/.f32 (.f32 1/2 (.f32 x x)) (*.f32 s s))))
(+.f32 1 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) (/.f32 x s)))
(+.f32 1 (+.f32 (/.f32 x s) (+.f32 (.f32 1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))))))
(+.f32 1 (+.f32 (/.f32 x s) (fma.f32 1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (/.f32 (.f32 1/2 (.f32 x x)) (*.f32 s s)))))
(+.f32 (+.f32 1 (/.f32 x s)) (fma.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s)) (.f32 1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)))))
(+.f32 1 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) (fma.f32 1/6 (pow.f32 (/.f32 x s) 3) (/.f32 x s))))
1
(+.f32 1 (/.f32 x s))
(+.f32 1 (+.f32 (/.f32 x s) (*.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2)))))
(+.f32 1 (+.f32 (/.f32 x s) (/.f32 (.f32 1/2 (.f32 x x)) (*.f32 s s))))
(+.f32 1 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) (/.f32 x s)))
(+.f32 1 (+.f32 (/.f32 x s) (+.f32 (.f32 1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))))))
(+.f32 1 (+.f32 (/.f32 x s) (fma.f32 1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (/.f32 (.f32 1/2 (.f32 x x)) (*.f32 s s)))))
(+.f32 (+.f32 1 (/.f32 x s)) (fma.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s)) (.f32 1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)))))
(+.f32 1 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) (fma.f32 1/6 (pow.f32 (/.f32 x s) 3) (/.f32 x s))))
1/2
(+.f32 1/2 (*.f32 1/4 (/.f32 x s)))
(+.f32 1/2 (*.f32 (/.f32 x s) 1/4))
(fma.f32 (/.f32 x s) 1/4 1/2)
(+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (.f32 -1/48 (/.f32 (pow.f32 x 3) (pow.f32 s 3)))))
(+.f32 1/2 (fma.f32 1/4 (/.f32 x s) (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/48)))
(+.f32 (fma.f32 (/.f32 x s) 1/4 1/2) (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/48))
(fma.f32 (/.f32 x s) 1/4 (fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 1/2))
(+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (+.f32 (.f32 -1/48 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (*.f32 1/480 (/.f32 (pow.f32 x 5) (pow.f32 s 5))))))
(+.f32 1/2 (fma.f32 1/4 (/.f32 x s) (fma.f32 -1/48 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (/.f32 (*.f32 1/480 (pow.f32 x 5)) (pow.f32 s 5)))))
(+.f32 1/2 (fma.f32 (/.f32 x s) 1/4 (fma.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/48 (/.f32 (*.f32 1/480 (pow.f32 x 5)) (pow.f32 s 5)))))
(+.f32 (/.f32 (*.f32 1/480 (pow.f32 x 5)) (pow.f32 s 5)) (fma.f32 (/.f32 x s) 1/4 (fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 1/2)))
1/2
(+.f32 1/2 (*.f32 1/4 (/.f32 x s)))
(+.f32 1/2 (*.f32 (/.f32 x s) 1/4))
(fma.f32 (/.f32 x s) 1/4 1/2)
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 -1/4 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))))) (pow.f32 s 2))) (+.f32 1/2 (.f32 1/4 (/.f32 x s))))
(fma.f32 -1 (/.f32 (fma.f32 -1/8 (.f32 x x) (.f32 -1/4 (.f32 (.f32 x x) -1/2))) (.f32 s s)) (+.f32 1/2 (.f32 (/.f32 x s) 1/4)))
(-.f32 (fma.f32 (/.f32 x s) 1/4 1/2) (/.f32 (fma.f32 (.f32 x x) -1/8 (.f32 (.f32 x x) 1/8)) (.f32 s s)))
(+.f32 (fma.f32 (/.f32 x s) 1/4 1/2) (/.f32 (.f32 (.f32 x x) 0) (*.f32 s s)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 -1/4 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))))) (pow.f32 s 2))) (+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) x)) (+.f32 (.f32 -1/4 (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) x)) (+.f32 (.f32 1/6 (pow.f32 x 3)) (.f32 -1/2 (pow.f32 x 3))))) (.f32 1/2 (.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 -1/4 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))))) x)))) (pow.f32 s 3))))))
(fma.f32 -1 (/.f32 (fma.f32 -1/8 (.f32 x x) (.f32 -1/4 (.f32 (.f32 x x) -1/2))) (.f32 s s)) (+.f32 1/2 (fma.f32 1/4 (/.f32 x s) (neg.f32 (/.f32 (fma.f32 -1/8 (.f32 x (.f32 (.f32 x x) -1/2)) (fma.f32 -1/4 (fma.f32 -1 (.f32 x (.f32 (.f32 x x) -1/2)) (.f32 (pow.f32 x 3) -1/3)) (.f32 1/2 (.f32 x (fma.f32 -1/8 (.f32 x x) (.f32 -1/4 (.f32 (.f32 x x) -1/2))))))) (pow.f32 s 3))))))
(-.f32 (-.f32 (fma.f32 (/.f32 x s) 1/4 1/2) (/.f32 (fma.f32 -1/8 (.f32 (pow.f32 x 3) -1/2) (fma.f32 1/2 (.f32 x (fma.f32 (.f32 x x) -1/8 (.f32 (.f32 x x) 1/8))) (+.f32 (.f32 1/4 (.f32 (pow.f32 x 3) -1/2)) (.f32 (pow.f32 x 3) 1/12)))) (pow.f32 s 3))) (/.f32 (fma.f32 (.f32 x x) -1/8 (.f32 (.f32 x x) 1/8)) (.f32 s s)))
(-.f32 (+.f32 (fma.f32 (/.f32 x s) 1/4 1/2) (/.f32 (.f32 (.f32 x x) 0) (.f32 s s))) (/.f32 (+.f32 (.f32 (pow.f32 x 3) 1/16) (*.f32 (pow.f32 x 3) -1/24)) (pow.f32 s 3)))
1/2
(+.f32 1/2 (*.f32 1/4 (/.f32 x s)))
(+.f32 1/2 (*.f32 (/.f32 x s) 1/4))
(fma.f32 (/.f32 x s) 1/4 1/2)
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 -1/4 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))))) (pow.f32 s 2))) (+.f32 1/2 (.f32 1/4 (/.f32 x s))))
(fma.f32 -1 (/.f32 (fma.f32 -1/8 (.f32 x x) (.f32 -1/4 (.f32 (.f32 x x) -1/2))) (.f32 s s)) (+.f32 1/2 (.f32 (/.f32 x s) 1/4)))
(-.f32 (fma.f32 (/.f32 x s) 1/4 1/2) (/.f32 (fma.f32 (.f32 x x) -1/8 (.f32 (.f32 x x) 1/8)) (.f32 s s)))
(+.f32 (fma.f32 (/.f32 x s) 1/4 1/2) (/.f32 (.f32 (.f32 x x) 0) (*.f32 s s)))
(+.f32 (.f32 1/8 (/.f32 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) x) (pow.f32 s 3))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 -1/4 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))))) x) (pow.f32 s 3))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 -1/4 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))))) (pow.f32 s 2))) (+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (.f32 -1/4 (/.f32 (+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 1/2 (pow.f32 x 3)) (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) x))) (pow.f32 s 3))))))))
(fma.f32 1/8 (/.f32 (.f32 (.f32 x x) -1/2) (/.f32 (pow.f32 s 3) x)) (fma.f32 -1/2 (/.f32 (fma.f32 -1/8 (.f32 x x) (.f32 -1/4 (.f32 (.f32 x x) -1/2))) (/.f32 (pow.f32 s 3) x)) (fma.f32 -1 (/.f32 (fma.f32 -1/8 (.f32 x x) (.f32 -1/4 (.f32 (.f32 x x) -1/2))) (.f32 s s)) (+.f32 1/2 (fma.f32 1/4 (/.f32 x s) (.f32 -1/4 (/.f32 (fma.f32 -1/6 (pow.f32 x 3) (fma.f32 1/2 (pow.f32 x 3) (.f32 x (.f32 (*.f32 x x) -1/2)))) (pow.f32 s 3))))))))
(fma.f32 1/8 (/.f32 (.f32 (pow.f32 x 3) -1/2) (pow.f32 s 3)) (fma.f32 -1/2 (/.f32 (fma.f32 (.f32 x x) -1/8 (.f32 (.f32 x x) 1/8)) (/.f32 (pow.f32 s 3) x)) (+.f32 (-.f32 (fma.f32 (/.f32 x s) 1/4 1/2) (/.f32 (fma.f32 (.f32 x x) -1/8 (.f32 (.f32 x x) 1/8)) (.f32 s s))) (.f32 -1/4 (/.f32 (+.f32 (.f32 (pow.f32 x 3) -1/2) (*.f32 (pow.f32 x 3) 1/3)) (pow.f32 s 3))))))
(+.f32 (.f32 (/.f32 x (pow.f32 s 3)) (.f32 (.f32 x x) 0)) (fma.f32 1/8 (.f32 (pow.f32 (/.f32 x s) 3) -1/2) (+.f32 (fma.f32 (/.f32 x s) 1/4 1/2) (fma.f32 -1/4 (.f32 (pow.f32 (/.f32 x s) 3) -1/6) (/.f32 (.f32 (.f32 x x) 0) (.f32 s s))))))
1
(+.f32 1 (*.f32 -1 (/.f32 x s)))
(+.f32 1 (neg.f32 (/.f32 x s)))
(-.f32 1 (/.f32 x s))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 1 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s))))
(+.f32 (.f32 (/.f32 1/2 s) (/.f32 (.f32 x x) s)) (-.f32 1 (/.f32 x s)))
(fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) (-.f32 1 (/.f32 x s)))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (+.f32 1 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s)))))
(+.f32 (-.f32 (.f32 (/.f32 1/2 s) (/.f32 (.f32 x x) s)) (/.f32 x s)) (fma.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/6 1))
(fma.f32 (pow.f32 (/.f32 x s) 3) -1/6 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) (-.f32 1 (/.f32 x s))))
1
(+.f32 1 (*.f32 -1 (/.f32 x s)))
(+.f32 1 (neg.f32 (/.f32 x s)))
(-.f32 1 (/.f32 x s))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1 (.f32 -1 (/.f32 x s))))
(+.f32 1 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s))))
(+.f32 (.f32 (/.f32 1/2 s) (/.f32 (.f32 x x) s)) (-.f32 1 (/.f32 x s)))
(fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) (-.f32 1 (/.f32 x s)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1 (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) x)) (+.f32 (.f32 1/6 (pow.f32 x 3)) (.f32 -1/2 (pow.f32 x 3)))) (pow.f32 s 3))) (*.f32 -1 (/.f32 x s)))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (+.f32 1 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s)))))
(+.f32 (-.f32 (.f32 (/.f32 1/2 s) (/.f32 (.f32 x x) s)) (/.f32 x s)) (fma.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/6 1))
(fma.f32 (pow.f32 (/.f32 x s) 3) -1/6 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) (-.f32 1 (/.f32 x s))))
1
(+.f32 1 (*.f32 -1 (/.f32 x s)))
(+.f32 1 (neg.f32 (/.f32 x s)))
(-.f32 1 (/.f32 x s))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1 (.f32 -1 (/.f32 x s))))
(+.f32 1 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s))))
(+.f32 (.f32 (/.f32 1/2 s) (/.f32 (.f32 x x) s)) (-.f32 1 (/.f32 x s)))
(fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) (-.f32 1 (/.f32 x s)))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 1 (+.f32 (.f32 -1 (/.f32 x s)) (/.f32 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (*.f32 -1 (pow.f32 x 2))) x) (pow.f32 s 3)))))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (fma.f32 -1 (/.f32 (.f32 (.f32 x x) -1/2) (.f32 s s)) (fma.f32 1/2 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (+.f32 1 (fma.f32 -1 (/.f32 x s) (/.f32 (.f32 (*.f32 x x) -1/2) (/.f32 (pow.f32 s 3) x)))))))
(fma.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/6 (-.f32 (+.f32 (-.f32 (/.f32 (.f32 (pow.f32 x 3) -1/2) (pow.f32 s 3)) (/.f32 x s)) (fma.f32 1/2 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) 1)) (.f32 (/.f32 (*.f32 x x) s) (/.f32 -1/2 s))))
(+.f32 (fma.f32 1/2 (pow.f32 (/.f32 x s) 3) (-.f32 (.f32 (pow.f32 (/.f32 x s) 3) -1/2) (/.f32 x s))) (fma.f32 (pow.f32 (/.f32 x s) 3) -1/6 (fma.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s)) 1)))
2
(+.f32 2 (*.f32 -1 (/.f32 x s)))
(+.f32 2 (neg.f32 (/.f32 x s)))
(-.f32 2 (/.f32 x s))
(+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 2 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s))))
(+.f32 2 (-.f32 (.f32 (/.f32 1/2 s) (/.f32 (.f32 x x) s)) (/.f32 x s)))
(-.f32 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2) (/.f32 x s))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (+.f32 2 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s)))))
(+.f32 (-.f32 (.f32 (/.f32 1/2 s) (/.f32 (.f32 x x) s)) (/.f32 x s)) (fma.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/6 2))
(-.f32 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2) (fma.f32 1/6 (pow.f32 (/.f32 x s) 3) (/.f32 x s)))
2
(+.f32 2 (*.f32 -1 (/.f32 x s)))
(+.f32 2 (neg.f32 (/.f32 x s)))
(-.f32 2 (/.f32 x s))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 2 (.f32 -1 (/.f32 x s))))
(+.f32 2 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s))))
(+.f32 2 (-.f32 (.f32 (/.f32 1/2 s) (/.f32 (.f32 x x) s)) (/.f32 x s)))
(-.f32 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2) (/.f32 x s))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 2 (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) x)) (+.f32 (.f32 1/6 (pow.f32 x 3)) (.f32 -1/2 (pow.f32 x 3)))) (pow.f32 s 3))) (*.f32 -1 (/.f32 x s)))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (+.f32 2 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s)))))
(+.f32 (-.f32 (.f32 (/.f32 1/2 s) (/.f32 (.f32 x x) s)) (/.f32 x s)) (fma.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/6 2))
(-.f32 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2) (fma.f32 1/6 (pow.f32 (/.f32 x s) 3) (/.f32 x s)))
2
(+.f32 2 (*.f32 -1 (/.f32 x s)))
(+.f32 2 (neg.f32 (/.f32 x s)))
(-.f32 2 (/.f32 x s))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 2 (.f32 -1 (/.f32 x s))))
(+.f32 2 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s))))
(+.f32 2 (-.f32 (.f32 (/.f32 1/2 s) (/.f32 (.f32 x x) s)) (/.f32 x s)))
(-.f32 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2) (/.f32 x s))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 2 (+.f32 (.f32 -1 (/.f32 x s)) (/.f32 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (*.f32 -1 (pow.f32 x 2))) x) (pow.f32 s 3)))))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (fma.f32 -1 (/.f32 (.f32 (.f32 x x) -1/2) (.f32 s s)) (fma.f32 1/2 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (+.f32 2 (fma.f32 -1 (/.f32 x s) (/.f32 (.f32 (*.f32 x x) -1/2) (/.f32 (pow.f32 s 3) x)))))))
(fma.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/6 (-.f32 (+.f32 (-.f32 (/.f32 (.f32 (pow.f32 x 3) -1/2) (pow.f32 s 3)) (/.f32 x s)) (fma.f32 1/2 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) 2)) (.f32 (/.f32 (*.f32 x x) s) (/.f32 -1/2 s))))
(+.f32 (fma.f32 1/2 (pow.f32 (/.f32 x s) 3) (-.f32 (.f32 (pow.f32 (/.f32 x s) 3) -1/2) (/.f32 x s))) (fma.f32 (pow.f32 (/.f32 x s) 3) -1/6 (fma.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s)) 2)))

prune2.0s (37.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	272	4	276
Fresh	2	0	2
Picked	1	0	1
Done	1	0	1
Total	276	4	280

Error

0.0b

Counts

280 → 4

Alt Table

Status	Error	Program
	0.1b	(/.f32 1 (+.f32 1 (pow.f32 (exp.f32 -1) (/.f32 x s))))
	0.3b	(/.f32 1 (+.f32 1 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) -2)) (cbrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
	0.1b	(/.f32 1 (+.f32 1 (/.f32 1 (.f32 (pow.f32 (E.f32) (.f32 2 (.f32 1/3 (/.f32 x s)))) (pow.f32 (E.f32) (.f32 1/3 (/.f32 x s)))))))
▶	0.1b	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))

Compiler

Compiled 4892 to 2927 computations (40.2% saved)

localize25.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
	0.1b	(exp.f32 (/.f32 (neg.f32 x) s))
✓	1.4b	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))

series86.0ms (1.6%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
31.0ms	x	@	inf	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
27.0ms	x	@	-inf	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
19.0ms	s	@	0	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms	x	@	0	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
1.0ms	x	@	0	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))

rewrite54.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`pow1_binary32`
651×	`add-log-exp_binary32`
650×	`expm1-log1p-u_binary32`
649×	`log1p-expm1-u_binary32`
635×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	181	17
2	2446	17

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))

Outputs

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

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

817×	`fma-def_binary32`
384×	`associate-l_binary32`
373×	`times-frac_binary32`
348×	`associate-r_binary32`
311×	`associate-/l*_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	1007
1	362	780
2	1422	712
3	6723	662

Stop Event

1×	node limit

Counts

105 → 87

Calls

Call 1

Inputs
(log.f32 2)
(+.f32 (*.f32 -1/2 (/.f32 x s)) (log.f32 2))
(+.f32 (.f32 1/8 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (.f32 -1/2 (/.f32 x s)) (log.f32 2)))
(+.f32 (.f32 1/8 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (.f32 -1/2 (/.f32 x s)) (+.f32 (log.f32 2) (*.f32 -1/192 (/.f32 (pow.f32 x 4) (pow.f32 s 4))))))
(log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(log.f32 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))
(log.f32 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))
(log.f32 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))
(log.f32 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))
(log.f32 2)
(+.f32 (*.f32 -1/2 (/.f32 x s)) (log.f32 2))
(+.f32 (.f32 -1/2 (/.f32 x s)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))) (pow.f32 s 2))) (log.f32 2)))
(+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -1/4 (pow.f32 x 3)) (+.f32 (.f32 3/4 (pow.f32 x 3)) (.f32 -1/2 (pow.f32 x 3)))) (pow.f32 s 3))) (+.f32 (.f32 -1/2 (/.f32 x s)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))) (pow.f32 s 2))) (log.f32 2))))
(log.f32 2)
(+.f32 (*.f32 -1/2 (/.f32 x s)) (log.f32 2))
(+.f32 (.f32 -1/2 (/.f32 x s)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))) (pow.f32 s 2))) (log.f32 2)))
(+.f32 (.f32 -1/2 (/.f32 x s)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 (log.f32 2) (.f32 -1/6 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 3)) (+.f32 (.f32 -3/4 (pow.f32 x 3)) (.f32 1/4 (pow.f32 x 3)))) (pow.f32 s 3))))))
(exp.f32 (neg.f32 (log.f32 2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) x) s)) (exp.f32 (neg.f32 (log.f32 2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) x) s)) (+.f32 (exp.f32 (neg.f32 (log.f32 2))) (.f32 -1/24 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) (pow.f32 x 3)) (pow.f32 s 3)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) x) s)) (+.f32 (.f32 1/240 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) (pow.f32 x 5)) (pow.f32 s 5))) (+.f32 (exp.f32 (neg.f32 (log.f32 2))) (.f32 -1/24 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) (pow.f32 x 3)) (pow.f32 s 3))))))
(exp.f32 (neg.f32 (log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))))
(exp.f32 (neg.f32 (log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))))
(exp.f32 (neg.f32 (log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))))
(exp.f32 (neg.f32 (log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))))
(exp.f32 (neg.f32 (log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))))
(exp.f32 (neg.f32 (log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))))
(exp.f32 (neg.f32 (log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))))
(exp.f32 (neg.f32 (log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))))
(exp.f32 (neg.f32 (log.f32 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))))
(exp.f32 (neg.f32 (log.f32 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))))
(exp.f32 (neg.f32 (log.f32 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))))
(exp.f32 (neg.f32 (log.f32 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))))
(exp.f32 (neg.f32 (log.f32 2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) x) s)) (exp.f32 (neg.f32 (log.f32 2))))
(+.f32 (/.f32 (.f32 (+.f32 (.f32 1/8 (pow.f32 x 2)) (.f32 -1/2 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))))) (exp.f32 (neg.f32 (log.f32 2)))) (pow.f32 s 2)) (+.f32 (.f32 1/2 (/.f32 (*.f32 (exp.f32 (neg.f32 (log.f32 2))) x) s)) (exp.f32 (neg.f32 (log.f32 2)))))
(+.f32 (/.f32 (.f32 (+.f32 (.f32 1/8 (pow.f32 x 2)) (.f32 -1/2 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))))) (exp.f32 (neg.f32 (log.f32 2)))) (pow.f32 s 2)) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) x) s)) (+.f32 (exp.f32 (neg.f32 (log.f32 2))) (/.f32 (.f32 (+.f32 (.f32 -1/4 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))) x)) (+.f32 (.f32 1/48 (pow.f32 x 3)) (.f32 -1/6 (+.f32 (.f32 -1/4 (pow.f32 x 3)) (+.f32 (.f32 3/4 (pow.f32 x 3)) (*.f32 -1/2 (pow.f32 x 3))))))) (exp.f32 (neg.f32 (log.f32 2)))) (pow.f32 s 3)))))
(exp.f32 (neg.f32 (log.f32 2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) x) s)) (exp.f32 (neg.f32 (log.f32 2))))
(+.f32 (/.f32 (.f32 (+.f32 (.f32 1/8 (pow.f32 x 2)) (.f32 -1/2 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))))) (exp.f32 (neg.f32 (log.f32 2)))) (pow.f32 s 2)) (+.f32 (.f32 1/2 (/.f32 (*.f32 (exp.f32 (neg.f32 (log.f32 2))) x) s)) (exp.f32 (neg.f32 (log.f32 2)))))
(+.f32 (/.f32 (.f32 (+.f32 (.f32 1/8 (pow.f32 x 2)) (.f32 -1/2 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))))) (exp.f32 (neg.f32 (log.f32 2)))) (pow.f32 s 2)) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) x) s)) (+.f32 (.f32 -1 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) (+.f32 (.f32 -1/48 (pow.f32 x 3)) (+.f32 (.f32 -1/6 (+.f32 (.f32 1/2 (pow.f32 x 3)) (+.f32 (.f32 -3/4 (pow.f32 x 3)) (.f32 1/4 (pow.f32 x 3))))) (.f32 1/4 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))) x))))) (pow.f32 s 3))) (exp.f32 (neg.f32 (log.f32 2))))))

Outputs
(log.f32 2)
(+.f32 (*.f32 -1/2 (/.f32 x s)) (log.f32 2))
(fma.f32 -1/2 (/.f32 x s) (log.f32 2))
(+.f32 (.f32 1/8 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (.f32 -1/2 (/.f32 x s)) (log.f32 2)))
(fma.f32 1/8 (/.f32 (.f32 x x) (.f32 s s)) (fma.f32 -1/2 (/.f32 x s) (log.f32 2)))
(fma.f32 1/8 (*.f32 (/.f32 x s) (/.f32 x s)) (fma.f32 -1/2 (/.f32 x s) (log.f32 2)))
(fma.f32 -1/2 (/.f32 x s) (fma.f32 (/.f32 x (/.f32 s x)) (/.f32 1/8 s) (log.f32 2)))
(+.f32 (.f32 1/8 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (+.f32 (.f32 -1/2 (/.f32 x s)) (+.f32 (log.f32 2) (*.f32 -1/192 (/.f32 (pow.f32 x 4) (pow.f32 s 4))))))
(fma.f32 1/8 (/.f32 (.f32 x x) (.f32 s s)) (+.f32 (fma.f32 -1/2 (/.f32 x s) (log.f32 2)) (/.f32 (*.f32 -1/192 (pow.f32 x 4)) (pow.f32 s 4))))
(fma.f32 1/8 (*.f32 (/.f32 x s) (/.f32 x s)) (fma.f32 -1/2 (/.f32 x s) (fma.f32 -1/192 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (log.f32 2))))
(fma.f32 -1/2 (/.f32 x s) (fma.f32 1/8 (*.f32 (/.f32 x s) (/.f32 x s)) (fma.f32 -1/192 (/.f32 (pow.f32 x 4) (pow.f32 s 4)) (log.f32 2))))
(log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(log.f32 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(log.f32 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(log.f32 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(log.f32 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(log.f32 2)
(+.f32 (*.f32 -1/2 (/.f32 x s)) (log.f32 2))
(fma.f32 -1/2 (/.f32 x s) (log.f32 2))
(+.f32 (.f32 -1/2 (/.f32 x s)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))) (pow.f32 s 2))) (log.f32 2)))
(fma.f32 1/8 (/.f32 (.f32 x x) (.f32 s s)) (fma.f32 -1/2 (/.f32 x s) (log.f32 2)))
(fma.f32 1/8 (*.f32 (/.f32 x s) (/.f32 x s)) (fma.f32 -1/2 (/.f32 x s) (log.f32 2)))
(fma.f32 -1/2 (/.f32 x s) (fma.f32 (/.f32 x (/.f32 s x)) (/.f32 1/8 s) (log.f32 2)))
(+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -1/4 (pow.f32 x 3)) (+.f32 (.f32 3/4 (pow.f32 x 3)) (.f32 -1/2 (pow.f32 x 3)))) (pow.f32 s 3))) (+.f32 (.f32 -1/2 (/.f32 x s)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))) (pow.f32 s 2))) (log.f32 2))))
(fma.f32 1/6 (/.f32 (fma.f32 -1/4 (pow.f32 x 3) (.f32 (pow.f32 x 3) 1/4)) (pow.f32 s 3)) (fma.f32 -1/2 (/.f32 x s) (fma.f32 1/2 (/.f32 (.f32 (.f32 x x) 1/4) (.f32 s s)) (log.f32 2))))
(fma.f32 1/6 (/.f32 (.f32 (pow.f32 x 3) 0) (pow.f32 s 3)) (fma.f32 -1/2 (/.f32 x s) (fma.f32 (.f32 (/.f32 (*.f32 x x) s) (/.f32 1/4 s)) 1/2 (log.f32 2))))
(+.f32 (fma.f32 (/.f32 x (/.f32 s x)) (/.f32 1/8 s) (log.f32 2)) (fma.f32 -1/2 (/.f32 x s) (/.f32 0 (pow.f32 s 3))))
(+.f32 (fma.f32 (/.f32 x (/.f32 s x)) (/.f32 1/8 s) (log.f32 2)) (fma.f32 -1/2 (/.f32 x s) 0))
(log.f32 2)
(+.f32 (*.f32 -1/2 (/.f32 x s)) (log.f32 2))
(fma.f32 -1/2 (/.f32 x s) (log.f32 2))
(+.f32 (.f32 -1/2 (/.f32 x s)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))) (pow.f32 s 2))) (log.f32 2)))
(fma.f32 1/8 (/.f32 (.f32 x x) (.f32 s s)) (fma.f32 -1/2 (/.f32 x s) (log.f32 2)))
(fma.f32 1/8 (*.f32 (/.f32 x s) (/.f32 x s)) (fma.f32 -1/2 (/.f32 x s) (log.f32 2)))
(fma.f32 -1/2 (/.f32 x s) (fma.f32 (/.f32 x (/.f32 s x)) (/.f32 1/8 s) (log.f32 2)))
(+.f32 (.f32 -1/2 (/.f32 x s)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 (log.f32 2) (.f32 -1/6 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 3)) (+.f32 (.f32 -3/4 (pow.f32 x 3)) (.f32 1/4 (pow.f32 x 3)))) (pow.f32 s 3))))))
(fma.f32 1/6 (/.f32 (fma.f32 -1/4 (pow.f32 x 3) (.f32 (pow.f32 x 3) 1/4)) (pow.f32 s 3)) (fma.f32 -1/2 (/.f32 x s) (fma.f32 1/2 (/.f32 (.f32 (.f32 x x) 1/4) (.f32 s s)) (log.f32 2))))
(fma.f32 1/6 (/.f32 (.f32 (pow.f32 x 3) 0) (pow.f32 s 3)) (fma.f32 -1/2 (/.f32 x s) (fma.f32 (.f32 (/.f32 (*.f32 x x) s) (/.f32 1/4 s)) 1/2 (log.f32 2))))
(+.f32 (fma.f32 (/.f32 x (/.f32 s x)) (/.f32 1/8 s) (log.f32 2)) (fma.f32 -1/2 (/.f32 x s) (/.f32 0 (pow.f32 s 3))))
(+.f32 (fma.f32 (/.f32 x (/.f32 s x)) (/.f32 1/8 s) (log.f32 2)) (fma.f32 -1/2 (/.f32 x s) 0))
(exp.f32 (neg.f32 (log.f32 2)))
1/2
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) x) s)) (exp.f32 (neg.f32 (log.f32 2))))
(fma.f32 1/2 (/.f32 (exp.f32 (neg.f32 (log.f32 2))) (/.f32 s x)) (exp.f32 (neg.f32 (log.f32 2))))
(+.f32 1/2 (/.f32 1/4 (/.f32 s x)))
(+.f32 1/2 (*.f32 (/.f32 1/4 s) x))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) x) s)) (+.f32 (exp.f32 (neg.f32 (log.f32 2))) (.f32 -1/24 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) (pow.f32 x 3)) (pow.f32 s 3)))))
(+.f32 (fma.f32 1/2 (/.f32 (exp.f32 (neg.f32 (log.f32 2))) (/.f32 s x)) (exp.f32 (neg.f32 (log.f32 2)))) (*.f32 -1/24 (/.f32 (exp.f32 (neg.f32 (log.f32 2))) (/.f32 (pow.f32 s 3) (pow.f32 x 3)))))
(+.f32 1/2 (+.f32 (/.f32 1/4 (/.f32 s x)) (/.f32 -1/48 (/.f32 (pow.f32 s 3) (pow.f32 x 3)))))
(+.f32 (+.f32 1/2 (.f32 (/.f32 1/4 s) x)) (.f32 (/.f32 -1/48 (pow.f32 s 3)) (pow.f32 x 3)))
(+.f32 (+.f32 1/2 (*.f32 (/.f32 1/4 s) x)) (/.f32 -1/48 (pow.f32 (/.f32 s x) 3)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) x) s)) (+.f32 (.f32 1/240 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) (pow.f32 x 5)) (pow.f32 s 5))) (+.f32 (exp.f32 (neg.f32 (log.f32 2))) (.f32 -1/24 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) (pow.f32 x 3)) (pow.f32 s 3))))))
(fma.f32 1/2 (/.f32 (exp.f32 (neg.f32 (log.f32 2))) (/.f32 s x)) (fma.f32 1/240 (/.f32 (exp.f32 (neg.f32 (log.f32 2))) (/.f32 (pow.f32 s 5) (pow.f32 x 5))) (+.f32 (exp.f32 (neg.f32 (log.f32 2))) (*.f32 -1/24 (/.f32 (exp.f32 (neg.f32 (log.f32 2))) (/.f32 (pow.f32 s 3) (pow.f32 x 3)))))))
(+.f32 (/.f32 1/4 (/.f32 s x)) (+.f32 (/.f32 -1/48 (/.f32 (pow.f32 s 3) (pow.f32 x 3))) (+.f32 1/2 (/.f32 1/480 (/.f32 (pow.f32 s 5) (pow.f32 x 5))))))
(+.f32 1/2 (+.f32 (+.f32 (.f32 (/.f32 -1/48 (pow.f32 s 3)) (pow.f32 x 3)) (/.f32 (.f32 (pow.f32 x 5) 1/480) (pow.f32 s 5))) (*.f32 (/.f32 1/4 s) x)))
(+.f32 (.f32 (/.f32 1/4 s) x) (+.f32 (/.f32 -1/48 (pow.f32 (/.f32 s x) 3)) (+.f32 1/2 (/.f32 (.f32 (pow.f32 x 5) 1/480) (pow.f32 s 5)))))
(exp.f32 (neg.f32 (log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log.f32 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log.f32 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log.f32 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log.f32 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log.f32 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log.f32 2)))
1/2
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) x) s)) (exp.f32 (neg.f32 (log.f32 2))))
(fma.f32 1/2 (/.f32 (exp.f32 (neg.f32 (log.f32 2))) (/.f32 s x)) (exp.f32 (neg.f32 (log.f32 2))))
(+.f32 1/2 (/.f32 1/4 (/.f32 s x)))
(+.f32 1/2 (*.f32 (/.f32 1/4 s) x))
(+.f32 (/.f32 (.f32 (+.f32 (.f32 1/8 (pow.f32 x 2)) (.f32 -1/2 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))))) (exp.f32 (neg.f32 (log.f32 2)))) (pow.f32 s 2)) (+.f32 (.f32 1/2 (/.f32 (*.f32 (exp.f32 (neg.f32 (log.f32 2))) x) s)) (exp.f32 (neg.f32 (log.f32 2)))))
(fma.f32 1/2 (/.f32 (exp.f32 (neg.f32 (log.f32 2))) (/.f32 s x)) (exp.f32 (neg.f32 (log.f32 2))))
(+.f32 1/2 (/.f32 1/4 (/.f32 s x)))
(+.f32 1/2 (*.f32 (/.f32 1/4 s) x))
(+.f32 (/.f32 (.f32 (+.f32 (.f32 1/8 (pow.f32 x 2)) (.f32 -1/2 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))))) (exp.f32 (neg.f32 (log.f32 2)))) (pow.f32 s 2)) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) x) s)) (+.f32 (exp.f32 (neg.f32 (log.f32 2))) (/.f32 (.f32 (+.f32 (.f32 -1/4 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))) x)) (+.f32 (.f32 1/48 (pow.f32 x 3)) (.f32 -1/6 (+.f32 (.f32 -1/4 (pow.f32 x 3)) (+.f32 (.f32 3/4 (pow.f32 x 3)) (*.f32 -1/2 (pow.f32 x 3))))))) (exp.f32 (neg.f32 (log.f32 2)))) (pow.f32 s 3)))))
(+.f32 (/.f32 (fma.f32 1/8 (.f32 x x) (.f32 -1/2 (.f32 (.f32 x x) 1/4))) (/.f32 (.f32 s s) (exp.f32 (neg.f32 (log.f32 2))))) (+.f32 (fma.f32 1/2 (/.f32 (exp.f32 (neg.f32 (log.f32 2))) (/.f32 s x)) (exp.f32 (neg.f32 (log.f32 2)))) (/.f32 (fma.f32 -1/4 (.f32 x (.f32 (.f32 x x) 1/4)) (fma.f32 1/48 (pow.f32 x 3) (.f32 (fma.f32 -1/4 (pow.f32 x 3) (.f32 (pow.f32 x 3) 1/4)) -1/6))) (/.f32 (pow.f32 s 3) (exp.f32 (neg.f32 (log.f32 2)))))))
(+.f32 (+.f32 1/2 (/.f32 1/4 (/.f32 s x))) (+.f32 (.f32 (/.f32 (fma.f32 -1/4 (.f32 (pow.f32 x 3) 1/4) (fma.f32 (pow.f32 x 3) 1/48 (.f32 (.f32 (pow.f32 x 3) 0) -1/6))) (pow.f32 s 3)) 1/2) (.f32 (/.f32 1/2 s) (/.f32 (fma.f32 1/8 (.f32 x x) (.f32 (.f32 x x) -1/8)) s))))
(+.f32 1/2 (+.f32 (.f32 (/.f32 1/4 s) x) (fma.f32 (/.f32 (fma.f32 (pow.f32 x 3) 1/48 (.f32 (pow.f32 x 3) -1/16)) (pow.f32 s 3)) 1/2 (/.f32 (.f32 (.f32 x x) 0) (*.f32 s s)))))
(+.f32 1/2 (fma.f32 (/.f32 (fma.f32 (pow.f32 x 3) 1/48 (.f32 (pow.f32 x 3) -1/16)) (pow.f32 s 3)) 1/2 (.f32 (/.f32 1/4 s) x)))
(exp.f32 (neg.f32 (log.f32 2)))
1/2
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) x) s)) (exp.f32 (neg.f32 (log.f32 2))))
(fma.f32 1/2 (/.f32 (exp.f32 (neg.f32 (log.f32 2))) (/.f32 s x)) (exp.f32 (neg.f32 (log.f32 2))))
(+.f32 1/2 (/.f32 1/4 (/.f32 s x)))
(+.f32 1/2 (*.f32 (/.f32 1/4 s) x))
(+.f32 (/.f32 (.f32 (+.f32 (.f32 1/8 (pow.f32 x 2)) (.f32 -1/2 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))))) (exp.f32 (neg.f32 (log.f32 2)))) (pow.f32 s 2)) (+.f32 (.f32 1/2 (/.f32 (*.f32 (exp.f32 (neg.f32 (log.f32 2))) x) s)) (exp.f32 (neg.f32 (log.f32 2)))))
(fma.f32 1/2 (/.f32 (exp.f32 (neg.f32 (log.f32 2))) (/.f32 s x)) (exp.f32 (neg.f32 (log.f32 2))))
(+.f32 1/2 (/.f32 1/4 (/.f32 s x)))
(+.f32 1/2 (*.f32 (/.f32 1/4 s) x))
(+.f32 (/.f32 (.f32 (+.f32 (.f32 1/8 (pow.f32 x 2)) (.f32 -1/2 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))))) (exp.f32 (neg.f32 (log.f32 2)))) (pow.f32 s 2)) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) x) s)) (+.f32 (.f32 -1 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 2))) (+.f32 (.f32 -1/48 (pow.f32 x 3)) (+.f32 (.f32 -1/6 (+.f32 (.f32 1/2 (pow.f32 x 3)) (+.f32 (.f32 -3/4 (pow.f32 x 3)) (.f32 1/4 (pow.f32 x 3))))) (.f32 1/4 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/4 (pow.f32 x 2))) x))))) (pow.f32 s 3))) (exp.f32 (neg.f32 (log.f32 2))))))
(+.f32 (/.f32 (fma.f32 1/8 (.f32 x x) (.f32 -1/2 (.f32 (.f32 x x) 1/4))) (/.f32 (.f32 s s) (exp.f32 (neg.f32 (log.f32 2))))) (fma.f32 1/2 (/.f32 (exp.f32 (neg.f32 (log.f32 2))) (/.f32 s x)) (fma.f32 -1 (/.f32 (exp.f32 (neg.f32 (log.f32 2))) (/.f32 (pow.f32 s 3) (fma.f32 -1/48 (pow.f32 x 3) (fma.f32 -1/6 (fma.f32 1/2 (pow.f32 x 3) (.f32 -1/2 (pow.f32 x 3))) (.f32 1/4 (.f32 x (.f32 (.f32 x x) 1/4))))))) (exp.f32 (neg.f32 (log.f32 2))))))
(+.f32 (/.f32 1/4 (/.f32 s x)) (+.f32 (-.f32 1/2 (.f32 (/.f32 1/2 (pow.f32 s 3)) (fma.f32 (pow.f32 x 3) -1/48 (fma.f32 (.f32 (pow.f32 x 3) 1/4) 1/4 (.f32 (.f32 (pow.f32 x 3) 0) -1/6))))) (.f32 (/.f32 1/2 s) (/.f32 (fma.f32 1/8 (.f32 x x) (.f32 (.f32 x x) -1/8)) s))))
(+.f32 1/2 (+.f32 (/.f32 (.f32 (.f32 x x) 0) (.f32 s s)) (+.f32 (.f32 (/.f32 1/4 s) x) (.f32 (/.f32 -1/2 (pow.f32 s 3)) (fma.f32 (pow.f32 x 3) -1/48 (.f32 (pow.f32 x 3) 1/16))))))
(-.f32 (.f32 (/.f32 1/4 s) x) (fma.f32 (fma.f32 (pow.f32 x 3) -1/48 (.f32 (pow.f32 x 3) 1/16)) (/.f32 1/2 (pow.f32 s 3)) -1/2))

prune124.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	117	4	121

Error

0.0b

Counts

121 → 4

Alt Table

Status	Error	Program
▶	0.1b	(/.f32 1 (+.f32 1 (pow.f32 (exp.f32 -1) (/.f32 x s))))
	0.3b	(/.f32 1 (+.f32 1 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) -2)) (cbrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
	0.1b	(/.f32 1 (+.f32 1 (/.f32 1 (.f32 (pow.f32 (E.f32) (.f32 2 (.f32 1/3 (/.f32 x s)))) (pow.f32 (E.f32) (.f32 1/3 (/.f32 x s)))))))
✓	0.1b	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))

Compiler

Compiled 1915 to 1196 computations (37.5% saved)

localize27.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 1 (pow.f32 (exp.f32 -1) (/.f32 x s)))
✓	0.0b	(/.f32 1 (+.f32 1 (pow.f32 (exp.f32 -1) (/.f32 x s))))
✓	0.1b	(pow.f32 (exp.f32 -1) (/.f32 x s))

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f32 (exp.f32 -1) (/.f32 x s))
1.0ms	s	@	0	(/.f32 1 (+.f32 1 (pow.f32 (exp.f32 -1) (/.f32 x s))))
0.0ms	x	@	inf	(/.f32 1 (+.f32 1 (pow.f32 (exp.f32 -1) (/.f32 x s))))
0.0ms	x	@	-inf	(/.f32 1 (+.f32 1 (pow.f32 (exp.f32 -1) (/.f32 x s))))
0.0ms	x	@	0	(/.f32 1 (+.f32 1 (pow.f32 (exp.f32 -1) (/.f32 x s))))

rewrite68.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

453×	`log-prod_binary32`
360×	`exp-prod_binary32`
263×	`pow2_binary32`
258×	`pow-unpow_binary32`
255×	`pow-prod-down_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	208	33
2	2673	33

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

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

Outputs

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

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

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

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

778×	`associate-/r*_binary32`
498×	`*-commutative_binary32`
390×	`fma-def_binary32`
375×	`associate-+l+_binary32`
319×	`associate-/l/_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	956
1	222	934
2	800	874
3	3721	862

Stop Event

1×	node limit

Counts

207 → 165

Calls

Call 1

Inputs
1
(+.f32 1 (*.f32 -1 (/.f32 x s)))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (*.f32 -1 (/.f32 x s)))
1
(+.f32 1 (*.f32 -1 (/.f32 x s)))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
1
(+.f32 1 (*.f32 -1 (/.f32 x s)))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
1/2
(+.f32 1/2 (*.f32 1/4 (/.f32 x s)))
(+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (.f32 -1/48 (/.f32 (pow.f32 x 3) (pow.f32 s 3)))))
(+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (+.f32 (.f32 -1/48 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (*.f32 1/480 (/.f32 (pow.f32 x 5) (pow.f32 s 5))))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))
(/.f32 1 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))
(/.f32 1 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))
(/.f32 1 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))
1/2
(+.f32 1/2 (*.f32 1/4 (/.f32 x s)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1/2 (.f32 1/4 (/.f32 x s))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (.f32 -1 (/.f32 (+.f32 (.f32 -1/24 (pow.f32 x 3)) (+.f32 (.f32 1/2 (.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) x)) (*.f32 1/16 (pow.f32 x 3)))) (pow.f32 s 3))))))
1/2
(+.f32 1/2 (*.f32 1/4 (/.f32 x s)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1/2 (.f32 1/4 (/.f32 x s))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) x) (pow.f32 s 3))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (+.f32 (.f32 1/24 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (.f32 -1/16 (/.f32 (pow.f32 x 3) (pow.f32 s 3))))))))
2
(+.f32 2 (*.f32 -1 (/.f32 x s)))
(+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
2
(+.f32 2 (*.f32 -1 (/.f32 x s)))
(+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
2
(+.f32 2 (*.f32 -1 (/.f32 x s)))
(+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))

Outputs
1
(+.f32 1 (*.f32 -1 (/.f32 x s)))
(+.f32 1 (neg.f32 (/.f32 x s)))
(-.f32 1 (/.f32 x s))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 1 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s))))
(+.f32 1 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)))
(fma.f32 (/.f32 1/2 s) (/.f32 (*.f32 x x) s) (-.f32 1 (/.f32 x s)))
(+.f32 1 (.f32 (/.f32 x s) (+.f32 -1 (/.f32 (.f32 x 1/2) s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (+.f32 1 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s)))))
(+.f32 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) 1))
(fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (fma.f32 (/.f32 1/2 s) (/.f32 (*.f32 x x) s) (-.f32 1 (/.f32 x s))))
(+.f32 1 (fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (.f32 (/.f32 x s) (+.f32 -1 (/.f32 (.f32 x 1/2) s)))))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 -1 (/.f32 x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
1
(+.f32 1 (*.f32 -1 (/.f32 x s)))
(+.f32 1 (neg.f32 (/.f32 x s)))
(-.f32 1 (/.f32 x s))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 1 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s))))
(+.f32 1 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)))
(fma.f32 (/.f32 1/2 s) (/.f32 (*.f32 x x) s) (-.f32 1 (/.f32 x s)))
(+.f32 1 (.f32 (/.f32 x s) (+.f32 -1 (/.f32 (.f32 x 1/2) s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (+.f32 1 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s)))))
(+.f32 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) 1))
(fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (fma.f32 (/.f32 1/2 s) (/.f32 (*.f32 x x) s) (-.f32 1 (/.f32 x s))))
(+.f32 1 (fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (.f32 (/.f32 x s) (+.f32 -1 (/.f32 (.f32 x 1/2) s)))))
1
(+.f32 1 (*.f32 -1 (/.f32 x s)))
(+.f32 1 (neg.f32 (/.f32 x s)))
(-.f32 1 (/.f32 x s))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 1 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s))))
(+.f32 1 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)))
(fma.f32 (/.f32 1/2 s) (/.f32 (*.f32 x x) s) (-.f32 1 (/.f32 x s)))
(+.f32 1 (.f32 (/.f32 x s) (+.f32 -1 (/.f32 (.f32 x 1/2) s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (+.f32 1 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s)))))
(+.f32 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) 1))
(fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (fma.f32 (/.f32 1/2 s) (/.f32 (*.f32 x x) s) (-.f32 1 (/.f32 x s))))
(+.f32 1 (fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (.f32 (/.f32 x s) (+.f32 -1 (/.f32 (.f32 x 1/2) s)))))
1/2
(+.f32 1/2 (*.f32 1/4 (/.f32 x s)))
(+.f32 1/2 (*.f32 (/.f32 x s) 1/4))
(fma.f32 (/.f32 x s) 1/4 1/2)
(+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (.f32 -1/48 (/.f32 (pow.f32 x 3) (pow.f32 s 3)))))
(+.f32 1/2 (fma.f32 1/4 (/.f32 x s) (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/48)))
(+.f32 1/2 (fma.f32 (/.f32 x s) 1/4 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/48)))
(fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 (fma.f32 (/.f32 x s) 1/4 1/2))
(fma.f32 (/.f32 x s) 1/4 (fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 1/2))
(+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (+.f32 (.f32 -1/48 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (*.f32 1/480 (/.f32 (pow.f32 x 5) (pow.f32 s 5))))))
(+.f32 1/2 (fma.f32 1/4 (/.f32 x s) (fma.f32 -1/48 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (*.f32 1/480 (/.f32 (pow.f32 x 5) (pow.f32 s 5))))))
(+.f32 1/2 (fma.f32 (/.f32 x s) 1/4 (fma.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/48 (*.f32 1/480 (/.f32 (pow.f32 x 5) (pow.f32 s 5))))))
(+.f32 1/2 (fma.f32 (/.f32 x s) 1/4 (fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 (*.f32 1/480 (/.f32 (pow.f32 x 5) (pow.f32 s 5))))))
(+.f32 1/2 (fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 (fma.f32 1/480 (/.f32 (pow.f32 x 5) (pow.f32 s 5)) (*.f32 (/.f32 x s) 1/4))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 1 (+.f32 (exp.f32 (*.f32 -1 (/.f32 x s))) 1))
(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
1/2
(+.f32 1/2 (*.f32 1/4 (/.f32 x s)))
(+.f32 1/2 (*.f32 (/.f32 x s) 1/4))
(fma.f32 (/.f32 x s) 1/4 1/2)
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1/2 (.f32 1/4 (/.f32 x s))))
(+.f32 1/2 (*.f32 (/.f32 x s) 1/4))
(fma.f32 (/.f32 x s) 1/4 1/2)
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (.f32 -1 (/.f32 (+.f32 (.f32 -1/24 (pow.f32 x 3)) (+.f32 (.f32 1/2 (.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) x)) (*.f32 1/16 (pow.f32 x 3)))) (pow.f32 s 3))))))
(+.f32 1/2 (fma.f32 1/4 (/.f32 x s) (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/48)))
(+.f32 1/2 (fma.f32 (/.f32 x s) 1/4 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/48)))
(fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 (fma.f32 (/.f32 x s) 1/4 1/2))
(fma.f32 (/.f32 x s) 1/4 (fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 1/2))
1/2
(+.f32 1/2 (*.f32 1/4 (/.f32 x s)))
(+.f32 1/2 (*.f32 (/.f32 x s) 1/4))
(fma.f32 (/.f32 x s) 1/4 1/2)
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1/2 (.f32 1/4 (/.f32 x s))))
(+.f32 1/2 (*.f32 (/.f32 x s) 1/4))
(fma.f32 (/.f32 x s) 1/4 1/2)
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) x) (pow.f32 s 3))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (pow.f32 x 2)) (.f32 1/8 (pow.f32 x 2))) (pow.f32 s 2))) (+.f32 1/2 (+.f32 (.f32 1/4 (/.f32 x s)) (+.f32 (.f32 1/24 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (.f32 -1/16 (/.f32 (pow.f32 x 3) (pow.f32 s 3))))))))
(+.f32 1/2 (fma.f32 1/4 (/.f32 x s) (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/48)))
(+.f32 1/2 (fma.f32 (/.f32 x s) 1/4 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) -1/48)))
(fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 (fma.f32 (/.f32 x s) 1/4 1/2))
(fma.f32 (/.f32 x s) 1/4 (fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 1/2))
2
(+.f32 2 (*.f32 -1 (/.f32 x s)))
(+.f32 (neg.f32 (/.f32 x s)) 2)
(-.f32 2 (/.f32 x s))
(+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 2 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s))))
(+.f32 2 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)))
(-.f32 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2) (/.f32 x s))
(+.f32 2 (.f32 (/.f32 x s) (+.f32 -1 (/.f32 (.f32 x 1/2) s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (+.f32 2 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s)))))
(+.f32 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) 2))
(-.f32 (fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2)) (/.f32 x s))
(+.f32 2 (fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (.f32 (/.f32 x s) (+.f32 -1 (/.f32 (.f32 x 1/2) s)))))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 1 (exp.f32 (*.f32 -1 (/.f32 x s))))
(+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
2
(+.f32 2 (*.f32 -1 (/.f32 x s)))
(+.f32 (neg.f32 (/.f32 x s)) 2)
(-.f32 2 (/.f32 x s))
(+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 2 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s))))
(+.f32 2 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)))
(-.f32 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2) (/.f32 x s))
(+.f32 2 (.f32 (/.f32 x s) (+.f32 -1 (/.f32 (.f32 x 1/2) s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (+.f32 2 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s)))))
(+.f32 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) 2))
(-.f32 (fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2)) (/.f32 x s))
(+.f32 2 (fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (.f32 (/.f32 x s) (+.f32 -1 (/.f32 (.f32 x 1/2) s)))))
2
(+.f32 2 (*.f32 -1 (/.f32 x s)))
(+.f32 (neg.f32 (/.f32 x s)) 2)
(-.f32 2 (/.f32 x s))
(+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (.f32 -1 (/.f32 x s))))
(+.f32 2 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s))))
(+.f32 2 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)))
(-.f32 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2) (/.f32 x s))
(+.f32 2 (.f32 (/.f32 x s) (+.f32 -1 (/.f32 (.f32 x 1/2) s))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3))) (+.f32 2 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (pow.f32 s 2))) (*.f32 -1 (/.f32 x s)))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) (+.f32 2 (fma.f32 1/2 (/.f32 (.f32 x x) (.f32 s s)) (neg.f32 (/.f32 x s)))))
(+.f32 (-.f32 (.f32 1/2 (.f32 (/.f32 x s) (/.f32 x s))) (/.f32 x s)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 s 3)) 2))
(-.f32 (fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 2)) (/.f32 x s))
(+.f32 2 (fma.f32 -1/6 (pow.f32 (/.f32 x s) 3) (.f32 (/.f32 x s) (+.f32 -1 (/.f32 (.f32 x 1/2) s)))))

prune708.0ms (13.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	161	4	165
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	163	6	169

Error

0.0b

Counts

169 → 6

Alt Table

Status	Error	Program
✓	0.1b	(/.f32 1 (+.f32 1 (pow.f32 (exp.f32 -1) (/.f32 x s))))
	0.1b	(/.f32 1 (+.f32 1 (*.f32 (pow.f32 (exp.f32 -2/3) (/.f32 x s)) (pow.f32 (exp.f32 -1/3) (/.f32 x s)))))
	0.3b	(/.f32 1 (+.f32 1 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 -2) (/.f32 x s))) (cbrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
✓	0.1b	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
	0.1b	(/.f32 1 (/.f32 (hypot.f32 1 (pow.f32 (exp.f32 -1/2) (/.f32 x s))) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) 1) -1/2)))
	18.1b	(/.f32 1 (pow.f32 (/.f32 (-.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 1 (pow.f32 (exp.f32 -2) (/.f32 x s)))) -1))

Compiler

Compiled 2631 to 1560 computations (40.7% saved)

regimes47.0ms (0.9%)

Accuracy

Total -31.2b remaining (-44180.6%)

Threshold costs -31.2b (-44180.6%)

Counts

12 → 1

Calls

Call 1

Inputs
(/.f32 1 (+.f32 1 (*.f32 (pow.f32 (exp.f32 -2/3) (/.f32 x s)) (pow.f32 (exp.f32 -1/3) (/.f32 x s)))))
(/.f32 1 (+.f32 1 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 -2) (/.f32 x s))) (cbrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 1 (/.f32 (hypot.f32 1 (pow.f32 (exp.f32 -1/2) (/.f32 x s))) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) 1) -1/2)))
(/.f32 1 (pow.f32 (/.f32 (-.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 1 (pow.f32 (exp.f32 -2) (/.f32 x s)))) -1))
(/.f32 1 (+.f32 1 (pow.f32 (exp.f32 -1) (/.f32 x s))))
(/.f32 1 (+.f32 1 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) -2)) (cbrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 1 (+.f32 1 (/.f32 1 (.f32 (pow.f32 (E.f32) (.f32 2 (.f32 1/3 (/.f32 x s)))) (pow.f32 (E.f32) (.f32 1/3 (/.f32 x s)))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (/.f32 x s) 1/4 (fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 1/2))
(/.f32 1 (+.f32 1 (/.f32 1 (exp.f32 (/.f32 x s)))))
(+.f32 1/2 (fma.f32 (/.f32 x s) 1/4 (fma.f32 1/480 (/.f32 (pow.f32 x 5) (pow.f32 s 5)) (/.f32 -1/48 (pow.f32 (/.f32 s x) 3)))))
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))

Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))

Results

10.0ms	0.1b	`x`
7.0ms	0.1b	`s`
3.0ms	0.1b	`(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))`
3.0ms	0.1b	`(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))`
3.0ms	0.1b	`(exp.f32 (/.f32 (neg.f32 x) s))`
9.0ms	0.1b	`(/.f32 (neg.f32 x) s)`
7.0ms	0.1b	`(neg.f32 x)`

Compiler

Compiled 234 to 151 computations (35.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	17	14
2	23	14
3	27	14
4	28	14

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))

Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))

end22.0ms (0.4%)

Stop Event

1×

fuel

Compiler

Compiled 20 to 16 computations (20% saved)

Details

analyze47.0ms (0.9%)

sample1.4s (25.5%)

preprocess53.0ms (1%)

simplify53.0ms (1%)

prune2.0ms (0%)

localize28.0ms (0.5%)

series9.0ms (0.2%)

rewrite60.0ms (1.1%)

simplify45.0ms (0.9%)

prune195.0ms (3.7%)

localize42.0ms (0.8%)

series13.0ms (0.2%)

rewrite98.0ms (1.8%)

simplify65.0ms (1.2%)

prune2.0s (37.1%)

localize25.0ms (0.5%)

series86.0ms (1.6%)

rewrite54.0ms (1%)

simplify61.0ms (1.2%)

prune124.0ms (2.3%)

localize27.0ms (0.5%)

series7.0ms (0.1%)

rewrite68.0ms (1.3%)

simplify45.0ms (0.8%)

prune708.0ms (13.3%)

regimes47.0ms (0.9%)

simplify2.0ms (0%)

end22.0ms (0.4%)

Profiling