Details

analyze99.0ms (2.2%)

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)

sample2.4s (52.3%)

Results

2.3s

8256×

body

128

valid

preprocess30.0ms (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)

simplify21.0ms (0.5%)

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))))

prune5.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.1b	(+.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)))
	1.7b	(*.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))))

Status

Error

Program

▶

0.1b

(+.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)))

1.7b

(*.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))))

Compiler

Compiled 169 to 117 computations (30.8% saved)

localize109.0ms (2.4%)

Local error

Found 4 expressions with local error:

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

series18.0ms (0.4%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	s	@	inf	(/.f32 (neg.f32 r) (*.f32 3 s))
3.0ms	s	@	0	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
1.0ms	r	@	inf	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
1.0ms	s	@	0	(.f32 (.f32 2 (PI.f32)) s)
1.0ms	r	@	0	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)

rewrite57.0ms (1.3%)

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) s))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 2 (PI.f32)) s) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (.f32 2 (PI.f32)) s) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (.f32 2 (PI.f32)) s)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (.f32 2 (PI.f32)) s)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (.f32 2 (PI.f32)) 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 (.f32 2 (PI.f32)) s))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (.f32 2 (PI.f32)) 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 log1p.f32 (expm1.f32 (.f32 (.f32 2 (PI.f32)) s)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) s)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (.f32 2 (PI.f32)) s)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (.f32 2 (PI.f32)) s)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (.f32 s 6) (PI.f32)) r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 (.f32 s 6) (PI.f32)) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (.f32 (.f32 s 6) (PI.f32)) r) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (.f32 (.f32 s 6) (PI.f32)) r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (.f32 (.f32 s 6) (PI.f32)) r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (.f32 (.f32 s 6) (PI.f32)) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 r) (.f32 (.f32 s 6) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 (.f32 s 6) (PI.f32)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (.f32 (.f32 s 6) (PI.f32)) r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 (.f32 s 6) (PI.f32)) 3) (pow.f32 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 r 3) (pow.f32 (.f32 (.f32 s 6) (PI.f32)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (.f32 (.f32 s 6) (PI.f32)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (.f32 (.f32 s 6) (PI.f32)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (.f32 (.f32 s 6) (PI.f32)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (.f32 (*.f32 s 6) (PI.f32)) r)) 1))))))
((#(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 (.f32 2 (PI.f32)) s) 3) (pow.f32 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 r 3) (pow.f32 (.f32 (.f32 2 (PI.f32)) s) 3)))))) (#(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 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 -.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))) (pow.f32 (cbrt.f32 (.f32 r (/.f32 1/3 s))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.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 (cbrt.f32 (.f32 9 (.f32 s s)))) (/.f32 r (cbrt.f32 (.f32 s 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 r) (cbrt.f32 (.f32 9 (.f32 s s)))) (/.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) (cbrt.f32 (.f32 9 (.f32 s s)))) (cbrt.f32 (.f32 r (/.f32 1/3 s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1 (cbrt.f32 (.f32 9 (.f32 s s)))) (/.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 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 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))))))

simplify27.0ms (0.6%)

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 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))))
(.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 -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))

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

prune199.0ms (4.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	89	10	99
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	90	11	101

Error

0.0b

Counts

101 → 11

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)))
	1.7b	(*.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))))
	0.1b	(+.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 (.f32 (*.f32 s 6) (PI.f32)) r)))))
	0.1b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (pow.f32 (sqrt.f32 (.f32 (.f32 2 (PI.f32)) s)) 2) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
	0.1b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (pow.f32 (cbrt.f32 (.f32 (.f32 2 (PI.f32)) s)) 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)))) (exp.f32 (log.f32 (.f32 (.f32 (*.f32 s 6) (PI.f32)) r)))))
▶	0.1b	(+.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 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (log.f32 (.f32 2 (.f32 (.f32 (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)))
	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 (sqrt.f32 (.f32 (.f32 (*.f32 s 6) (PI.f32)) r)) 2)))
	0.1b	(+.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 (.f32 (*.f32 s 6) (PI.f32)) r)) 3)))
	18.3b	(+.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 (.f32 (*.f32 s 6) (PI.f32)) r) 3) 1/3)))

Compiler

Compiled 4364 to 2740 computations (37.2% saved)

localize92.0ms (2%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	s	@	-inf	(.f32 s (.f32 r (PI.f32)))
0.0ms	r	@	-inf	(.f32 s (.f32 r (PI.f32)))
0.0ms	r	@	-inf	(*.f32 r (PI.f32))
0.0ms	r	@	inf	(*.f32 r (PI.f32))
0.0ms	r	@	0	(*.f32 r (PI.f32))

rewrite43.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`pow1_binary32`
532×	`add-log-exp_binary32`
532×	`log1p-expm1-u_binary32`
532×	`expm1-log1p-u_binary32`
519×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	119	13
2	1454	13

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.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 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 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 exp.f32 (log.f32 (*.f32 r (PI.f32))))))))

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

26 → 26

Calls

Call 1

Inputs

Outputs

prune235.0ms (5.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	91	11	102

Error

0.0b

Counts

102 → 11

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)))
	0.1b	(+.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 (.f32 (*.f32 s 6) (PI.f32)) r)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 2 (.f32 s (exp.f32 (log.f32 (.f32 r (PI.f32))))))) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
▶	0.1b	(+.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 (.f32 (*.f32 s 6) (PI.f32)) r)) 3)))
	0.1b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (pow.f32 (sqrt.f32 (.f32 (.f32 2 (PI.f32)) s)) 2) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
	0.1b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (pow.f32 (cbrt.f32 (.f32 (.f32 2 (PI.f32)) s)) 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)))) (exp.f32 (log.f32 (.f32 (.f32 (*.f32 s 6) (PI.f32)) r)))))
✓	0.1b	(+.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 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (log.f32 (.f32 2 (.f32 (.f32 (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)))
	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 (sqrt.f32 (.f32 (.f32 (*.f32 s 6) (PI.f32)) r)) 2)))
	18.3b	(+.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 (.f32 (*.f32 s 6) (PI.f32)) r) 3) 1/3)))

Compiler

Compiled 4079 to 2433 computations (40.4% saved)

localize105.0ms (2.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (.f32 (*.f32 s 6) (PI.f32)) r)
	0.3b	(.f32 (.f32 2 (PI.f32)) s)
✓	0.4b	(.f32 (.f32 s 6) (PI.f32))
✓	0.7b	(pow.f32 (cbrt.f32 (.f32 (.f32 (*.f32 s 6) (PI.f32)) r)) 3)

series11.0ms (0.2%)

Counts

3 → 36

Calls

15 calls:

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

rewrite61.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`log1p-expm1-u_binary32`
884×	`expm1-log1p-u_binary32`
102×	`add-sqr-sqrt_binary32`
96×	`add-log-exp_binary32`
96×	`pow1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	231	30
2	2454	30

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs
(pow.f32 (cbrt.f32 (.f32 (.f32 (*.f32 s 6) (PI.f32)) r)) 3)
(.f32 (.f32 s 6) (PI.f32))
(.f32 (.f32 (*.f32 s 6) (PI.f32)) r)

Outputs

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

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

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

simplify22.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

26×	`associate-l_binary32`
18×	`associate-r_binary32`
16×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	360
1	20	360
2	44	360
3	70	360
4	77	360

Stop Event

1×

saturated

Counts

112 → 69

Calls

Call 1

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

prune380.0ms (8.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	86	11	97

Error

0.0b

Counts

97 → 11

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)))
▶	0.1b	(+.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 (PI.f32) (.f32 (*.f32 s 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 (.f32 s 6) (*.f32 (PI.f32) r))))))
	0.1b	(+.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 (.f32 (*.f32 s 6) (PI.f32)) r)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (log.f32 (.f32 2 (.f32 (.f32 (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)))
	0.1b	(+.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 (pow.f32 (cbrt.f32 (.f32 s 6)) 2) (.f32 (cbrt.f32 (.f32 s 6)) (*.f32 (PI.f32) r)))))
	0.1b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (pow.f32 (sqrt.f32 (.f32 (.f32 2 (PI.f32)) s)) 2) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
	0.1b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (pow.f32 (cbrt.f32 (.f32 (.f32 2 (PI.f32)) s)) 3) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
✓	0.1b	(+.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 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
	18.3b	(+.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 (.f32 (*.f32 s 6) (PI.f32)) r) 3) 1/3)))
	0.1b	(+.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 (exp.f32 (log.f32 (.f32 s (*.f32 6 (PI.f32))))) r)) 3)))

Compiler

Compiled 4178 to 2651 computations (36.5% saved)

localize88.0ms (2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (.f32 s 6) r)
	0.3b	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
	0.3b	(.f32 (.f32 2 (PI.f32)) s)
✓	0.4b	(.f32 (PI.f32) (.f32 (*.f32 s 6) r))

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	s	@	0	(.f32 (PI.f32) (.f32 (*.f32 s 6) r))
1.0ms	r	@	inf	(.f32 (.f32 s 6) r)
0.0ms	r	@	0	(.f32 (.f32 s 6) r)
0.0ms	s	@	0	(.f32 (.f32 s 6) r)
0.0ms	s	@	-inf	(.f32 (.f32 s 6) r)

rewrite40.0ms (0.9%)

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	18
1	162	18
2	1931	18

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

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

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

simplify18.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

27×	`associate-l_binary32`
16×	`associate-r_binary32`
14×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	432
1	19	432
2	43	432
3	77	432
4	79	432

Stop Event

1×

saturated

Counts

78 → 34

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))))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))
(.f32 6 (.f32 s r))

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

prune232.0ms (5.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	69	10	79

Error

0.0b

Counts

79 → 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 -1/3 (/.f32 r s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
✓	0.1b	(+.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 (PI.f32) (.f32 (*.f32 s 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 (.f32 s 6) (*.f32 (PI.f32) r))))))
	0.1b	(+.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 (.f32 (*.f32 s 6) (PI.f32)) r)))))
	0.1b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (pow.f32 (sqrt.f32 (.f32 (.f32 2 (PI.f32)) s)) 2) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
	0.1b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (pow.f32 (cbrt.f32 (.f32 (.f32 2 (PI.f32)) s)) 3) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
✓	0.1b	(+.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 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (log.f32 (.f32 2 (.f32 (.f32 (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)))
	18.8b	(+.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 (PI.f32) (pow.f32 (pow.f32 (.f32 s (*.f32 6 r)) 3) 1/3))))
	0.1b	(+.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 (exp.f32 (log.f32 (.f32 s (*.f32 6 (PI.f32))))) r)) 3)))

Compiler

Compiled 2808 to 1721 computations (38.7% saved)

regimes76.0ms (1.7%)

Accuracy

Total -17.4b remaining (-12505%)

Threshold costs -17.4b (-12505%)

Counts

44 → 1

Compiler

Compiled 1578 to 934 computations (40.8% saved)

simplify4.0ms (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	26	53
1	44	53
2	50	53
3	55	53
4	57	53

Stop Event

1×

saturated

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

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

end161.0ms (3.6%)

Stop Event

1×

fuel

Compiler

Compiled 420 to 260 computations (38.1% saved)

Details

analyze99.0ms (2.2%)

sample2.4s (52.3%)

preprocess30.0ms (0.7%)

simplify21.0ms (0.5%)

prune5.0ms (0.1%)

localize109.0ms (2.4%)

series18.0ms (0.4%)

rewrite57.0ms (1.3%)

simplify27.0ms (0.6%)

prune199.0ms (4.4%)

localize92.0ms (2%)

series3.0ms (0.1%)

rewrite43.0ms (1%)

simplify8.0ms (0.2%)

prune235.0ms (5.2%)

localize105.0ms (2.3%)

series11.0ms (0.2%)

rewrite61.0ms (1.3%)

simplify22.0ms (0.5%)

prune380.0ms (8.4%)

localize88.0ms (2%)

series6.0ms (0.1%)

rewrite40.0ms (0.9%)

simplify18.0ms (0.4%)

prune232.0ms (5.1%)

regimes76.0ms (1.7%)

simplify4.0ms (0.1%)

end161.0ms (3.6%)

Profiling