Details

analyze122.0ms (3.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	2.1%	97.9%	0
0%	2.1%	97.9%	1
1%	1%	97.9%	2
1%	1%	97.9%	3
1.5%	0.5%	97.9%	4
1.5%	0.5%	97.9%	5
1.8%	0.3%	97.9%	6
1.8%	0.3%	97.9%	7
1.9%	0.1%	97.9%	8
1.9%	0.1%	97.9%	9
2%	0.1%	97.9%	10
2%	0.1%	97.9%	11
2%	0%	97.9%	12
2%	0%	97.9%	13
2%	0%	97.9%	14

Compiler

Compiled 50 to 36 computations (28% saved)

sample2.0s (53.2%)

Results

2.0s

8256×

body

128

valid

preprocess27.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

654×	`associate-/l*_binary32`
635×	`associate-/l/_binary32`
596×	`times-frac_binary32`
556×	`associate-*r/_binary32`
486×	`associate-/r/_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	106
1	117	86
2	446	70
3	1873	64
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))

(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 s) r))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) r) s)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 s) (*.f32 3 r)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) r) s)))

Outputs
(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
(+.f32 (.f32 (/.f32 1/4 (.f32 s (.f32 2 (PI.f32)))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r)) (.f32 (/.f32 3/4 (.f32 s (.f32 (PI.f32) 6))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) (*.f32 s 3))) r)))
(fma.f32 (/.f32 1/8 (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (.f32 (/.f32 1/8 (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 -1/3 (/.f32 r s))) r)))
(*.f32 (/.f32 (/.f32 1/8 (PI.f32)) s) (+.f32 (/.f32 (pow.f32 (exp.f32 -1/3) (/.f32 r s)) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r)))
(*.f32 (/.f32 (/.f32 (/.f32 1/8 (PI.f32)) r) s) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 -1/3) (/.f32 r s))))
(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 s) r))) (.f32 (.f32 (.f32 2 (PI.f32)) r) s)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 s) (.f32 3 r)))) (.f32 (.f32 (*.f32 6 (PI.f32)) r) s)))
(+.f32 (.f32 (/.f32 1/4 (.f32 r (.f32 2 (PI.f32)))) (/.f32 (exp.f32 (/.f32 (neg.f32 s) r)) s)) (.f32 (/.f32 3/4 (.f32 6 (.f32 (PI.f32) r))) (/.f32 (exp.f32 (/.f32 (neg.f32 s) (*.f32 r 3))) s)))
(fma.f32 (/.f32 1/8 (.f32 r (PI.f32))) (/.f32 (exp.f32 (neg.f32 (/.f32 s r))) s) (.f32 (/.f32 1/8 (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 -1/3 (/.f32 s r))) s)))
(*.f32 (/.f32 (/.f32 1/8 (PI.f32)) r) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 s) r)) s) (/.f32 (pow.f32 (exp.f32 -1/3) (/.f32 s r)) s)))
(*.f32 (/.f32 (/.f32 (/.f32 1/8 (PI.f32)) r) s) (+.f32 (exp.f32 (/.f32 (neg.f32 s) r)) (pow.f32 (exp.f32 -1/3) (/.f32 s r))))

Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify22.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

622×	`associate-l_binary32`
523×	`associate-r_binary32`
423×	`associate-/r*_binary32`
364×	`associate-/l*_binary32`
320×	`associate-/l/_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	53
1	66	43
2	244	35
3	1026	32
4	3417	32

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))

Outputs
(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
(+.f32 (.f32 (/.f32 1/4 (.f32 s (.f32 2 (PI.f32)))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r)) (.f32 (/.f32 3/4 (.f32 6 (.f32 (PI.f32) s))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) (*.f32 s 3))) r)))
(fma.f32 (/.f32 1/8 (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 -1/3 (/.f32 r s))) r) (.f32 (/.f32 1/8 (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r)))
(.f32 (/.f32 1/8 (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (pow.f32 (exp.f32 -1/3) (/.f32 r s)) r)))
(.f32 (/.f32 (/.f32 1/8 (.f32 s (PI.f32))) r) (+.f32 (pow.f32 (exp.f32 -1/3) (/.f32 r s)) (exp.f32 (/.f32 (neg.f32 r) s))))
(*.f32 (/.f32 (/.f32 (/.f32 1/8 s) (PI.f32)) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 r) (/.f32 -1/3 s))))

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	1.3b	(*.f32 (/.f32 (/.f32 (/.f32 1/8 s) (PI.f32)) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 r) (/.f32 -1/3 s))))
▶	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))

Status

Error

Program

1.3b

(*.f32 (/.f32 (/.f32 (/.f32 1/8 s) (PI.f32)) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 r) (/.f32 -1/3 s))))

▶

0.2b

(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))

Compiler

Compiled 169 to 117 computations (30.8% saved)

localize77.0ms (2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
✓	0.2b	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
✓	0.3b	(/.f32 (neg.f32 r) (*.f32 3 s))
✓	0.3b	(.f32 (.f32 2 (PI.f32)) s)

series16.0ms (0.4%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	s	@	-inf	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
1.0ms	s	@	inf	(/.f32 (neg.f32 r) (*.f32 3 s))
1.0ms	r	@	0	(/.f32 (neg.f32 r) (*.f32 3 s))
1.0ms	s	@	0	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
1.0ms	s	@	0	(.f32 (.f32 2 (PI.f32)) s)

rewrite58.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

276×	`expm1-udef_binary32`
276×	`log1p-udef_binary32`
167×	`add-sqr-sqrt_binary32`
166×	`associate-r_binary32`
159×	`*-un-lft-identity_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	339	37
2	4438	37

Stop Event

1×	node limit

Counts

4 → 92

Calls

Call 1

Inputs
(.f32 (.f32 2 (PI.f32)) s)
(/.f32 (neg.f32 r) (*.f32 3 s))
(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 s)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) (.f32 2 s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 s)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 2 s))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 2 s))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 s)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 s) (.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (.f32 2 s)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 s)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 2 (PI.f32)) 3) (pow.f32 s 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 s 3) (pow.f32 (.f32 2 (PI.f32)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) (.f32 2 s))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (.f32 2 s))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 2 s))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 s))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (.f32 r (/.f32 1/3 s)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 r (/.f32 1/3 s)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 0 (.f32 s 3)) (.f32 r (/.f32 1/3 s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 r (/.f32 1/3 s))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 r (/.f32 1 (.f32 s -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 r (/.f32 1/3 s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 r (/.f32 1/3 s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 r (/.f32 1/3 s))) (cbrt.f32 (pow.f32 (.f32 r (/.f32 1/3 s)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (.f32 r (/.f32 1/3 s)) 2)) (cbrt.f32 (.f32 r (/.f32 1/3 s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 r) 2) (.f32 (cbrt.f32 r) (/.f32 1/3 s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 r (/.f32 1/3 s))) (sqrt.f32 (.f32 r (/.f32 1/3 s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 r) (.f32 (sqrt.f32 r) (/.f32 1/3 s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/3 s) r)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (.f32 r (/.f32 1/3 s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 r 1/3) (/.f32 1 s))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/3 (/.f32 r s))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 s) (.f32 r 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 r) s) (/.f32 (sqrt.f32 r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 r) 3) (/.f32 (sqrt.f32 r) s))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 r) 1) (/.f32 (sqrt.f32 r) (.f32 s 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 (cbrt.f32 (.f32 s 3)) 2)) (/.f32 r (cbrt.f32 (.f32 s 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 r) (pow.f32 (cbrt.f32 (.f32 s 3)) 2)) (/.f32 (sqrt.f32 r) (cbrt.f32 (.f32 s 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sqrt.f32 (.f32 s 3))) (/.f32 r (sqrt.f32 (.f32 s 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 r) 2) s) (/.f32 (cbrt.f32 r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1 s) (.f32 r 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 r) 2) 3) (/.f32 (cbrt.f32 r) s))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1/3 (/.f32 r s))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 r) 2) 1) (/.f32 (cbrt.f32 r) (.f32 s 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 r) 2) (pow.f32 (cbrt.f32 (.f32 s 3)) 2)) (cbrt.f32 (.f32 r (/.f32 1/3 s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1 (pow.f32 (cbrt.f32 (.f32 s 3)) 2)) (/.f32 r (cbrt.f32 (.f32 s 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 r) 2) (sqrt.f32 (.f32 s 3))) (/.f32 (cbrt.f32 r) (sqrt.f32 (.f32 s 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1 (sqrt.f32 (.f32 s 3))) (/.f32 r (sqrt.f32 (.f32 s 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 r (/.f32 1/3 s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 r (/.f32 1/3 s)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 r (/.f32 1/3 s))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 r (/.f32 1/3 s))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 s (.f32 r 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (.f32 r (/.f32 1/3 s)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 r (/.f32 1/3 s)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 r) (/.f32 1/3 s)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 r (/.f32 1/3 s)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 r (/.f32 1/3 s)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 r 3) (pow.f32 (.f32 s 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 r (/.f32 1/3 s))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 r (/.f32 1/3 s))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 r (/.f32 1/3 s))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 r (/.f32 1/3 s))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (.f32 (PI.f32) s) r)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 2 (.f32 (.f32 (PI.f32) s) r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 2 (.f32 (.f32 (PI.f32) s) r)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 2 (.f32 (.f32 (PI.f32) s) r))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 2 (.f32 (.f32 (PI.f32) s) r))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 2 (.f32 (.f32 (PI.f32) s) r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 s) (.f32 2 (PI.f32))) r))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 2 (.f32 (.f32 (PI.f32) s) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 2 (.f32 (.f32 (PI.f32) s) r)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 s)) 3) (pow.f32 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 r 3) (pow.f32 (.f32 (PI.f32) (.f32 2 s)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 2 (.f32 (.f32 (PI.f32) s) r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 2 (.f32 (.f32 (PI.f32) s) r))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 2 (.f32 (.f32 (PI.f32) s) r))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 2 (.f32 (.f32 (PI.f32) s) r))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 s (.f32 (.f32 (PI.f32) 6) r)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 s (.f32 (.f32 (PI.f32) 6) r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 s (.f32 (.f32 (PI.f32) 6) r)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 s (.f32 (.f32 (PI.f32) 6) r))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 s (.f32 (.f32 (PI.f32) 6) r))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 s (.f32 (.f32 (PI.f32) 6) r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) 6) s) r))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 s (.f32 (.f32 (PI.f32) 6) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 s (.f32 (.f32 (PI.f32) 6) r)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 r 3) (pow.f32 (.f32 (PI.f32) (.f32 6 s)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (.f32 6 s)) 3) (pow.f32 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 s (.f32 (.f32 (PI.f32) 6) r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 s (.f32 (.f32 (PI.f32) 6) r))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 s (.f32 (.f32 (PI.f32) 6) r))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 s (.f32 (*.f32 (PI.f32) 6) r))))))))

simplify25.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

49×	`associate-l_binary32`
34×	`associate-r_binary32`
29×	`*-commutative_binary32`
2×	`associate-/l*_binary32`
1×	`associate-*r/_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	792
1	31	792
2	74	792
3	135	792
4	153	792

Stop Event

1×

saturated

Counts

176 → 99

Calls

Call 1

Inputs
(.f32 2 (.f32 s (PI.f32)))
(.f32 2 (.f32 s (PI.f32)))
(.f32 2 (.f32 s (PI.f32)))
(.f32 2 (.f32 s (PI.f32)))
(.f32 2 (.f32 s (PI.f32)))
(.f32 2 (.f32 s (PI.f32)))
(.f32 2 (.f32 s (PI.f32)))
(.f32 2 (.f32 s (PI.f32)))
(.f32 2 (.f32 s (PI.f32)))
(.f32 2 (.f32 s (PI.f32)))
(.f32 2 (.f32 s (PI.f32)))
(.f32 2 (.f32 s (PI.f32)))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(*.f32 -1/3 (/.f32 r s))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))

Outputs
(.f32 2 (.f32 s (PI.f32)))
(.f32 (.f32 2 s) (PI.f32))
(.f32 2 (.f32 s (PI.f32)))
(.f32 (.f32 2 s) (PI.f32))
(.f32 2 (.f32 s (PI.f32)))
(.f32 (.f32 2 s) (PI.f32))
(.f32 2 (.f32 s (PI.f32)))
(.f32 (.f32 2 s) (PI.f32))
(.f32 2 (.f32 s (PI.f32)))
(.f32 (.f32 2 s) (PI.f32))
(.f32 2 (.f32 s (PI.f32)))
(.f32 (.f32 2 s) (PI.f32))
(.f32 2 (.f32 s (PI.f32)))
(.f32 (.f32 2 s) (PI.f32))
(.f32 2 (.f32 s (PI.f32)))
(.f32 (.f32 2 s) (PI.f32))
(.f32 2 (.f32 s (PI.f32)))
(.f32 (.f32 2 s) (PI.f32))
(.f32 2 (.f32 s (PI.f32)))
(.f32 (.f32 2 s) (PI.f32))
(.f32 2 (.f32 s (PI.f32)))
(.f32 (.f32 2 s) (PI.f32))
(.f32 2 (.f32 s (PI.f32)))
(.f32 (.f32 2 s) (PI.f32))
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(*.f32 -1/3 (/.f32 r s))
(*.f32 (/.f32 -1/3 s) r)
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 2 (.f32 s (*.f32 r (PI.f32))))
(.f32 2 (.f32 s (*.f32 (PI.f32) r)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 (PI.f32) r))
(.f32 s (.f32 (*.f32 (PI.f32) r) 6))
(.f32 (PI.f32) (.f32 s (*.f32 6 r)))
(.f32 s (.f32 (PI.f32) (*.f32 r 6)))

prune153.0ms (4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	93	8	101

Error

0.1b

Counts

101 → 8

Alt Table

Status	Error	Program
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (.f32 -1/3 (/.f32 r s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
▶	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (expm1.f32 (log1p.f32 (.f32 s (.f32 (*.f32 (PI.f32) 6) r))))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (exp.f32 (log.f32 (.f32 s (.f32 (*.f32 (PI.f32) 6) r))))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (pow.f32 (cbrt.f32 (.f32 s (.f32 (*.f32 (PI.f32) 6) r))) 3)))
	17.6b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (pow.f32 (pow.f32 (.f32 s (.f32 (*.f32 (PI.f32) 6) r)) 3) 1/3)))
	18.3b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 s)) 3) 1/3) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 s (.f32 (PI.f32) (*.f32 r 6)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 6 (.f32 s (*.f32 r (PI.f32))))))

Compiler

Compiled 4166 to 2603 computations (37.5% saved)

localize87.0ms (2.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
	0.3b	(/.f32 (neg.f32 r) (*.f32 3 s))
✓	0.3b	(.f32 s (.f32 (*.f32 (PI.f32) 6) r))
	0.3b	(.f32 (.f32 2 (PI.f32)) s)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	s	@	0	(.f32 s (.f32 (*.f32 (PI.f32) 6) r))
0.0ms	s	@	-inf	(.f32 s (.f32 (*.f32 (PI.f32) 6) r))
0.0ms	r	@	inf	(.f32 s (.f32 (*.f32 (PI.f32) 6) r))
0.0ms	r	@	-inf	(.f32 s (.f32 (*.f32 (PI.f32) 6) r))
0.0ms	s	@	inf	(.f32 s (.f32 (*.f32 (PI.f32) 6) r))

rewrite37.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`pow1_binary32`
710×	`log1p-expm1-u_binary32`
710×	`expm1-log1p-u_binary32`
87×	`associate-r_binary32`
81×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	162	11
2	1931	11

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(.f32 s (.f32 (*.f32 (PI.f32) 6) r))

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

Outputs

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

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

26×	`associate-l_binary32`
20×	`associate-r_binary32`
17×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	264
1	15	264
2	37	264
3	72	264
4	83	264

Stop Event

1×

saturated

Counts

39 → 17

Calls

Call 1

Inputs
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))

Outputs
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 r (.f32 6 (*.f32 s (PI.f32))))
(.f32 s (.f32 r (*.f32 6 (PI.f32))))

prune182.0ms (4.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	99	8	107

Error

0.1b

Counts

107 → 8

Alt Table

Status	Error	Program
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (.f32 -1/3 (/.f32 r s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (.f32 (/.f32 -1/3 s) r))) (expm1.f32 (log1p.f32 (.f32 s (.f32 (*.f32 (PI.f32) 6) r))))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (expm1.f32 (log1p.f32 (exp.f32 (log.f32 (.f32 (.f32 s (PI.f32)) (*.f32 6 r))))))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (pow.f32 (cbrt.f32 (.f32 s (.f32 (*.f32 (PI.f32) 6) r))) 3)))
	17.6b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (pow.f32 (pow.f32 (.f32 s (.f32 (*.f32 (PI.f32) 6) r)) 3) 1/3)))
	18.3b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 s)) 3) 1/3) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 s (.f32 (PI.f32) (*.f32 r 6)))))
▶	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 6 (.f32 s (*.f32 r (PI.f32))))))

Compiler

Compiled 4366 to 2793 computations (36% saved)

localize97.0ms (2.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f32 (neg.f32 r) (*.f32 3 s))
✓	0.3b	(.f32 6 (.f32 s (*.f32 r (PI.f32))))
	0.3b	(.f32 (.f32 2 (PI.f32)) s)
✓	0.4b	(*.f32 r (PI.f32))

series3.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	r	@	inf	(*.f32 r (PI.f32))
0.0ms	r	@	-inf	(*.f32 r (PI.f32))
0.0ms	r	@	0	(*.f32 r (PI.f32))
0.0ms	s	@	inf	(.f32 6 (.f32 s (*.f32 r (PI.f32))))
0.0ms	s	@	-inf	(.f32 6 (.f32 s (*.f32 r (PI.f32))))

rewrite38.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`pow1_binary32`
712×	`log1p-expm1-u_binary32`
712×	`expm1-log1p-u_binary32`
90×	`associate-r_binary32`
81×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	162	16
2	1934	16

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

Inputs
(*.f32 r (PI.f32))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 36 (pow.f32 (*.f32 (*.f32 s (PI.f32)) r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 6) (*.f32 (*.f32 s (PI.f32)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s))))))))

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

28 → 28

Calls

Call 1

Inputs

Outputs

prune215.0ms (5.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	92	9	101

Error

0.1b

Counts

101 → 9

Alt Table

Status	Error	Program
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (exp.f32 (log.f32 (.f32 (.f32 r (PI.f32)) (*.f32 6 s))))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (.f32 -1/3 (/.f32 r s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
▶	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 6 (.f32 s (expm1.f32 (log1p.f32 (*.f32 r (PI.f32))))))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (.f32 (/.f32 -1/3 s) r))) (expm1.f32 (log1p.f32 (.f32 s (.f32 (*.f32 (PI.f32) 6) r))))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 6 (.f32 s (pow.f32 (cbrt.f32 (*.f32 r (PI.f32))) 3)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (expm1.f32 (log1p.f32 (exp.f32 (log.f32 (.f32 (.f32 s (PI.f32)) (*.f32 6 r))))))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 6 (.f32 s (exp.f32 (log.f32 (*.f32 r (PI.f32))))))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (pow.f32 (cbrt.f32 (.f32 s (.f32 (*.f32 (PI.f32) 6) r))) 3)))
	18.3b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 s)) 3) 1/3) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))

Compiler

Compiled 4040 to 2410 computations (40.3% saved)

localize94.0ms (2.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 6 (.f32 s (expm1.f32 (log1p.f32 (*.f32 r (PI.f32))))))
	0.3b	(.f32 (.f32 2 (PI.f32)) s)
	0.4b	(*.f32 r (PI.f32))
✓	0.9b	(expm1.f32 (log1p.f32 (*.f32 r (PI.f32))))

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	r	@	0	(expm1.f32 (log1p.f32 (*.f32 r (PI.f32))))
0.0ms	r	@	inf	(expm1.f32 (log1p.f32 (*.f32 r (PI.f32))))
0.0ms	r	@	-inf	(expm1.f32 (log1p.f32 (*.f32 r (PI.f32))))
0.0ms	s	@	0	(.f32 6 (.f32 s (expm1.f32 (log1p.f32 (*.f32 r (PI.f32))))))
0.0ms	r	@	0	(.f32 6 (.f32 s (expm1.f32 (log1p.f32 (*.f32 r (PI.f32))))))

rewrite42.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`pow1_binary32`
766×	`expm1-log1p-u_binary32`
765×	`log1p-expm1-u_binary32`
88×	`add-sqr-sqrt_binary32`
87×	`associate-r_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	181	16
2	2088	16

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(expm1.f32 (log1p.f32 (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (expm1.f32 (log1p.f32 (*.f32 r (PI.f32))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (*.f32 r (*.f32 (PI.f32) s)) 2) 36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 6) (*.f32 r (*.f32 (PI.f32) s))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 6 s))))))))

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

26×	`associate-l_binary32`
20×	`associate-r_binary32`
17×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	37	324
3	72	324
4	83	324

Stop Event

1×

saturated

Counts

81 → 47

Calls

Call 1

Inputs
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))

Outputs
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(*.f32 r (PI.f32))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))
(.f32 6 (.f32 s (*.f32 r (PI.f32))))
(.f32 (.f32 6 s) (*.f32 r (PI.f32)))
(.f32 6 (.f32 r (*.f32 (PI.f32) s)))
(.f32 r (.f32 6 (*.f32 (PI.f32) s)))

prune219.0ms (5.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	78	10	88

Error

0.1b

Counts

88 → 10

Alt Table

Status	Error	Program
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (exp.f32 (log.f32 (.f32 (.f32 r (PI.f32)) (*.f32 6 s))))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (.f32 -1/3 (/.f32 r s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
✓	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 6 (.f32 s (expm1.f32 (log1p.f32 (*.f32 r (PI.f32))))))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (.f32 (/.f32 -1/3 s) r))) (expm1.f32 (log1p.f32 (.f32 s (.f32 (*.f32 (PI.f32) 6) r))))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 6 (.f32 s (pow.f32 (cbrt.f32 (*.f32 r (PI.f32))) 3)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (expm1.f32 (log1p.f32 (exp.f32 (log.f32 (.f32 (.f32 s (PI.f32)) (*.f32 6 r))))))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (pow.f32 (cbrt.f32 (.f32 s (.f32 (*.f32 (PI.f32) 6) r))) 3)))
	1.5b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 6 (.f32 s (expm1.f32 (log1p.f32 (log.f32 (+.f32 1 (expm1.f32 (*.f32 r (PI.f32)))))))))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 6 (.f32 s (exp.f32 (log.f32 (*.f32 r (PI.f32))))))))
	18.3b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 s)) 3) 1/3) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))

Compiler

Compiled 3345 to 1967 computations (41.2% saved)

regimes58.0ms (1.5%)

Accuracy

Total -18.8b remaining (-12897.1%)

Threshold costs -18.8b (-12897.1%)

Counts

32 → 1

Compiler

Compiled 1147 to 683 computations (40.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary32`
4×	`+-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	28	57
1	46	57
2	52	57
3	57	57
4	59	57

Stop Event

1×

saturated

Calls

Call 1

Inputs

(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (expm1.f32 (log1p.f32 (*.f32 s (*.f32 (*.f32 (PI.f32) 6) r))))))

Outputs

(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (expm1.f32 (log1p.f32 (*.f32 s (*.f32 (*.f32 (PI.f32) 6) r))))))

(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 2 (*.f32 s (*.f32 r (PI.f32))))) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 s 3)))) (expm1.f32 (log1p.f32 (*.f32 s (*.f32 r (*.f32 (PI.f32) 6)))))))

end165.0ms (4.3%)

Stop Event

1×

fuel

Compiler

Compiled 430 to 267 computations (37.9% saved)

Details

analyze122.0ms (3.2%)

sample2.0s (53.2%)

preprocess27.0ms (0.7%)

simplify22.0ms (0.6%)

prune4.0ms (0.1%)

localize77.0ms (2%)

series16.0ms (0.4%)

rewrite58.0ms (1.5%)

simplify25.0ms (0.7%)

prune153.0ms (4%)

localize87.0ms (2.3%)

series2.0ms (0%)

rewrite37.0ms (1%)

simplify14.0ms (0.4%)

prune182.0ms (4.8%)

localize97.0ms (2.5%)

series3.0ms (0.1%)

rewrite38.0ms (1%)

simplify11.0ms (0.3%)

prune215.0ms (5.6%)

localize94.0ms (2.5%)

series3.0ms (0.1%)

rewrite42.0ms (1.1%)

simplify14.0ms (0.4%)

prune219.0ms (5.7%)

regimes58.0ms (1.5%)

simplify3.0ms (0.1%)

end165.0ms (4.3%)

Profiling