Details

Time bar (total: 4.6s)

analyze47.0ms (1%)

Algorithm
1×search
Search
TrueOtherFalseIter
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
Compiler

Compiled 50 to 36 computations (28% saved)

sample2.3s (49.1%)

Results
2.2s8256×body64valid

preprocess61.0ms (1.3%)

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)

IterNodesCost
041106
111786
244670
3187364
4521664
5618764
6712964
022
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)

simplify53.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
676×fma-neg_binary32
622×associate-*l*_binary32
523×associate-*r*_binary32
423×associate-/r*_binary32
405×*-commutative_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02653
16643
224435
3102632
4341732
5538532
6584032
7746332
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)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶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)))
1.3b
(*.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))))
Compiler

Compiled 169 to 117 computations (30.8% saved)

localize82.0ms (1.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)
✓0.3b
(*.f32 (*.f32 (*.f32 6 (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:

TimeVariablePointExpression
2.0ms
s
@inf
(*.f32 (*.f32 2 (PI.f32)) s)
2.0ms
s
@-inf
(*.f32 (*.f32 (*.f32 2 (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 6 (PI.f32)) s) r)

rewrite69.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
881×log-prod_binary32
392×pow2_binary32
282×pow1/3_binary32
276×expm1-udef_binary32
276×log1p-udef_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01639
133937
2443937
Stop Event
1×node limit
Counts
4 → 113
Calls
Call 1
Inputs
(*.f32 (*.f32 2 (PI.f32)) s)
(/.f32 (neg.f32 r) (*.f32 3 s))
(*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)
(*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) (*.f32 2 s)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 s) (*.f32 2 (PI.f32)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 s) (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 s) (*.f32 2 (PI.f32))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 s) (*.f32 2 (PI.f32))))))))) (#(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 pow.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 s 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 s 3) (pow.f32 (*.f32 2 (PI.f32)) 3)) 1/3)))) (#(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 log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 s))))))) (#(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 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 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 r) (/.f32 1/3 s))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 r) (/.f32 1/3 s)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 r) (/.f32 1/3 s)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 r) (/.f32 1/3 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))) (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 (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 pow.f32 (/.f32 (pow.f32 r 3) (pow.f32 (*.f32 s 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 s (*.f32 r 1/3)) 1) -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 log.f32 (/.f32 1 (+.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 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 expm1.f32 (log1p.f32 (*.f32 r (/.f32 1/3 s))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 s (*.f32 (*.f32 (PI.f32) 6) r)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 s) (*.f32 (PI.f32) 6)) r)) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 s) (*.f32 (PI.f32) 6)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 s) (*.f32 (PI.f32) 6)) r))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 s) (*.f32 (PI.f32) 6)) 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 pow.f32 (*.f32 (pow.f32 r 3) (pow.f32 (*.f32 (PI.f32) (*.f32 6 s)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 6 s)) 3) (pow.f32 r 3)) 1/3)))) (#(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 (exp.f32 s) (*.f32 (PI.f32) 6)) 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 log1p.f32 (expm1.f32 (*.f32 s (*.f32 (*.f32 (PI.f32) 6) r))))))) (#(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 expm1.f32 (log1p.f32 (*.f32 s (*.f32 (*.f32 (PI.f32) 6) r))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 s) (*.f32 2 (PI.f32))) r)) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 s) (*.f32 2 (PI.f32))) r))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 s) (*.f32 2 (PI.f32))) r))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 s) (*.f32 2 (PI.f32))) r))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 s)) 3) (pow.f32 r 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 r 3) (pow.f32 (*.f32 (PI.f32) (*.f32 2 s)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (*.f32 2 (PI.f32)) (*.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 (*.f32 2 (PI.f32)) (*.f32 s r)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (*.f32 2 (PI.f32)) (*.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 log1p.f32 (expm1.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))))))))

simplify29.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
47×associate-*l*_binary32
35×associate-*r*_binary32
29×*-commutative_binary32
2×associate-/l*_binary32
1×associate-*r/_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015792
131792
274792
3135792
4152792
Stop Event
1×saturated
Counts
197 → 120
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 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))))
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 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 -1/3 (/.f32 r s))
(/.f32 -1/3 (/.f32 s r))
(*.f32 r (/.f32 -1/3 s))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 6 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 6 (*.f32 s r)) (PI.f32))
(*.f32 s (*.f32 (PI.f32) (*.f32 r 6)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 2 r)))
(*.f32 s (*.f32 (PI.f32) (*.f32 2 r)))

prune204.0ms (4.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1137120
Fresh101
Picked101
Done000
Total1157122
Error
0.0b
Counts
122 → 7
Alt Table
StatusErrorProgram
▶0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) 3)) (/.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 s (*.f32 (*.f32 (PI.f32) 6) r))) 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)))) (exp.f32 (log.f32 (*.f32 s (*.f32 (*.f32 (PI.f32) 6) r))))))
17.4b
(+.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)))
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 -1/3 (/.f32 r s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))
27.2b
(+.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 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 s) (*.f32 (PI.f32) 6)) r))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 s) (*.f32 (PI.f32) 6)) 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 s (*.f32 (*.f32 (PI.f32) 6) r))))))
Compiler

Compiled 4981 to 3115 computations (37.5% saved)

localize96.0ms (2.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)
0.3b
(/.f32 (neg.f32 r) (*.f32 3 s))
✓0.4b
(*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))
✓0.7b
(pow.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) 3)

series13.0ms (0.3%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
5.0ms
s
@-inf
(pow.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) 3)
2.0ms
s
@0
(pow.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) 3)
1.0ms
s
@inf
(pow.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) 3)
1.0ms
r
@inf
(pow.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) 3)
1.0ms
r
@-inf
(pow.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) 3)

rewrite56.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
934×pow1_binary32
869×add-log-exp_binary32
868×log1p-expm1-u_binary32
868×expm1-log1p-u_binary32
848×add-exp-log_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
123022
2244322
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(pow.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) 3)
(*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (PI.f32) (*.f32 s r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (*.f32 2 (*.f32 s r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (PI.f32)) (*.f32 s r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 s (*.f32 r (*.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 r (*.f32 2 (*.f32 (PI.f32) s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 s r) (*.f32 2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))) (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))) 2) (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r))))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r))))) (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2) (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 2 (PI.f32))) (*.f32 (cbrt.f32 (*.f32 s r)) (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 2 (PI.f32))) 2) (*.f32 (cbrt.f32 (*.f32 2 (PI.f32))) (*.f32 s r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))) (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r))) 1/6) (*.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r))) 1/6) (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 s r)) (*.f32 (sqrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 2 (PI.f32))) (*.f32 (sqrt.f32 (*.f32 2 (PI.f32))) (*.f32 s r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (*.f32 s r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (PI.f32) s)) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r))))) 2) 3) (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r))) 1/6) 3) (pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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s r))))) 2)) (cbrt.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))) 2) (cbrt.f32 (*.f32 2 (PI.f32)))) (cbrt.f32 (*.f32 s r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))) 2) (pow.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r))) 1/6)) (pow.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 2 (*.f32 (PI.f32) s)) 1) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 2 (*.f32 (PI.f32) s)) (pow.f32 (cbrt.f32 r) 2)) (cbrt.f32 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 2 (*.f32 (PI.f32) s)) (sqrt.f32 r)) (sqrt.f32 r))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 2) (*.f32 (PI.f32) (*.f32 s r))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 (*.f32 s r) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 s r) 3) (pow.f32 (*.f32 2 (PI.f32)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 2) (*.f32 (PI.f32) (*.f32 s r))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 (*.f32 s r) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 s r) 3) (pow.f32 (*.f32 2 (PI.f32)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 s r)))))))))

simplify16.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
26×associate-*l*_binary32
20×associate-*r*_binary32
17×*-commutative_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08264
115264
237264
372264
483264
Stop Event
1×saturated
Counts
82 → 50
Calls
Call 1
Inputs
(*.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))))
Outputs
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))

prune309.0ms (6.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1251126
Fresh156
Picked011
Done000
Total1267133
Error
0.0b
Counts
133 → 7
Alt Table
StatusErrorProgram
✓0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) 3)) (/.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 s (*.f32 (*.f32 (PI.f32) 6) r))) 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)))) (exp.f32 (log.f32 (*.f32 s (*.f32 (*.f32 (PI.f32) 6) r))))))
17.4b
(+.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)))
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 -1/3 (/.f32 r s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))
27.2b
(+.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 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 s) (*.f32 (PI.f32) 6)) r))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 s) (*.f32 (PI.f32) 6)) r))))))
▶0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2) (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))
Compiler

Compiled 5540 to 3368 computations (39.2% saved)

localize97.0ms (2.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f32 (neg.f32 r) (*.f32 3 s))
✓0.3b
(*.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2) (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))
✓0.4b
(*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32)))
✓0.5b
(pow.f32 (cbrt.f32 (*.f32 s r)) 2)

series22.0ms (0.5%)

Counts
3 → 24
Calls

18 calls:

TimeVariablePointExpression
8.0ms
r
@-inf
(*.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2) (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))
3.0ms
s
@-inf
(*.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2) (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))
2.0ms
s
@-inf
(pow.f32 (cbrt.f32 (*.f32 s r)) 2)
1.0ms
s
@-inf
(*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32)))
1.0ms
r
@-inf
(pow.f32 (cbrt.f32 (*.f32 s r)) 2)

rewrite61.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
569×log-prod_binary32
505×prod-exp_binary32
415×pow-prod-down_binary32
412×exp-prod_binary32
291×pow-unpow_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01133
122433
2258533
Stop Event
1×node limit
Counts
3 → 112
Calls
Call 1
Inputs
(pow.f32 (cbrt.f32 (*.f32 s r)) 2)
(*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2) (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (cbrt.f32 (*.f32 s r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 s r)) (cbrt.f32 (*.f32 s r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (cbrt.f32 (*.f32 s r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 s) (*.f32 (cbrt.f32 r) (cbrt.f32 (*.f32 s r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 s) 2) (pow.f32 (cbrt.f32 r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 s r))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 s r))) 4) (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 s r) 1/6) (sqrt.f32 (*.f32 s r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 s r)) (pow.f32 (*.f32 s r) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 s r))) 5) (cbrt.f32 (cbrt.f32 (*.f32 s r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (cbrt.f32 s)) (cbrt.f32 r))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 s r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 2/3 (log.f32 (*.f32 s r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2/3 (log.f32 (*.f32 s r))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 s r)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (*.f32 s r))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/3 (*.f32 2/3 (log.f32 (*.f32 s r)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 s r)) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 s r)) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 s r))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (*.f32 2/3 (log.f32 (*.f32 s r))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 s r)) 1/3) (log.f32 (cbrt.f32 (*.f32 s r)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 s r))) 1) (log.f32 (cbrt.f32 (*.f32 s r)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 (cbrt.f32 (*.f32 s r))) (*.f32 (log.f32 (*.f32 s r)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 s r)) 1/3) (*.f32 (log.f32 (*.f32 s r)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 s r))) 1) (*.f32 (log.f32 (*.f32 s r)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 (cbrt.f32 (*.f32 s r))) (*.f32 (log.f32 (cbrt.f32 (*.f32 s r))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 s r)) 1/3) (*.f32 (log.f32 (cbrt.f32 (*.f32 s r))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 s r))) 1) (*.f32 (log.f32 (cbrt.f32 (*.f32 s r))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (cbrt.f32 (*.f32 s r))) (PI.f32))) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (cbrt.f32 (*.f32 s r))) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (cbrt.f32 (*.f32 s r))) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (cbrt.f32 (*.f32 s r))) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 s r) (pow.f32 (*.f32 2 (PI.f32)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))) 2)) (cbrt.f32 (log.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32)))))) (sqrt.f32 (log.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 2) (cbrt.f32 (*.f32 s r))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (*.f32 s r) (pow.f32 (*.f32 2 (PI.f32)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 s r) (pow.f32 (*.f32 2 (PI.f32)) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 s r)) 1/3) (log.f32 (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 s r))) 1) (log.f32 (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 (cbrt.f32 (*.f32 s r))) (*.f32 (log.f32 (*.f32 2 (PI.f32))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 s r)) 1/3) (*.f32 (log.f32 (*.f32 2 (PI.f32))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 s r))) 1) (*.f32 (log.f32 (*.f32 2 (PI.f32))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (PI.f32)) 1) (log.f32 (*.f32 (cbrt.f32 (*.f32 s r)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 2 (PI.f32))) 1) (log.f32 (cbrt.f32 (*.f32 s r)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 (*.f32 2 (PI.f32))) (*.f32 (log.f32 (*.f32 s r)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 2 (PI.f32))) 1) (*.f32 (log.f32 (*.f32 s r)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 (*.f32 2 (PI.f32))) (*.f32 (log.f32 (cbrt.f32 (*.f32 s r))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 2 (PI.f32))) 1) (*.f32 (log.f32 (cbrt.f32 (*.f32 s r))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 (*.f32 (cbrt.f32 (*.f32 s r)) 2)) (*.f32 (log.f32 (PI.f32)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 r) s) (*.f32 2 (PI.f32)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 r) s) (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 r) s) (*.f32 2 (PI.f32))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 r) s) (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 (*.f32 s r) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (*.f32 2 (PI.f32))) (sqrt.f32 (*.f32 s r))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32))))) 2)) (cbrt.f32 (log.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32)))))) (sqrt.f32 (log.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 r) s) (*.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 s r)) 1) (log.f32 (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 (*.f32 s r)) (*.f32 (log.f32 (*.f32 2 (PI.f32))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 s r)) 1) (*.f32 (log.f32 (*.f32 2 (PI.f32))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (*.f32 2/3 (log.f32 (*.f32 s r))) 1) (log.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 2/3 (log.f32 (*.f32 s r))) (*.f32 (log.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (*.f32 2/3 (log.f32 (*.f32 s r))) 1) (*.f32 (log.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 2 (PI.f32))) 1) (log.f32 (*.f32 s r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 (*.f32 2 (PI.f32))) (*.f32 (log.f32 (*.f32 s r)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 2 (PI.f32))) 1) (*.f32 (log.f32 (*.f32 s r)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32)))) 1) (*.f32 2/3 (log.f32 (*.f32 s r)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32)))) (*.f32 (*.f32 2/3 (log.f32 (*.f32 s r))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32)))) 1) (*.f32 (*.f32 2/3 (log.f32 (*.f32 s r))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (*.f32 s r) (*.f32 2 (PI.f32)))))))))

simplify14.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
26×associate-*l*_binary32
20×associate-*r*_binary32
17×*-commutative_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08264
115264
237264
372264
483264
Stop Event
1×saturated
Counts
136 → 114
Calls
Call 1
Inputs
(*.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))))
Outputs
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 s (*.f32 r (PI.f32))))
(*.f32 r (*.f32 2 (*.f32 s (PI.f32))))
(*.f32 s (*.f32 r (*.f32 2 (PI.f32))))

prune562.0ms (12.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1680168
Fresh055
Picked011
Done011
Total1687175
Error
0.0b
Counts
175 → 7
Alt Table
StatusErrorProgram
✓0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) 3)) (/.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 s (*.f32 (*.f32 (PI.f32) 6) r))) 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)))) (exp.f32 (log.f32 (*.f32 s (*.f32 (*.f32 (PI.f32) 6) r))))))
17.4b
(+.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)))
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 -1/3 (/.f32 r s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))
27.2b
(+.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 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 s) (*.f32 (PI.f32) 6)) r))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 s) (*.f32 (PI.f32) 6)) r))))))
✓0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2) (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))
Compiler

Compiled 7879 to 4437 computations (43.7% saved)

localize92.0ms (2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.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)
✓0.8b
(pow.f32 (cbrt.f32 (*.f32 s (*.f32 (*.f32 (PI.f32) 6) r))) 3)

series8.0ms (0.2%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
2.0ms
s
@-inf
(pow.f32 (cbrt.f32 (*.f32 s (*.f32 (*.f32 (PI.f32) 6) r))) 3)
2.0ms
s
@0
(pow.f32 (cbrt.f32 (*.f32 s (*.f32 (*.f32 (PI.f32) 6) r))) 3)
2.0ms
r
@-inf
(pow.f32 (cbrt.f32 (*.f32 s (*.f32 (*.f32 (PI.f32) 6) r))) 3)
1.0ms
s
@inf
(pow.f32 (cbrt.f32 (*.f32 s (*.f32 (*.f32 (PI.f32) 6) r))) 3)
1.0ms
r
@inf
(pow.f32 (cbrt.f32 (*.f32 s (*.f32 (*.f32 (PI.f32) 6) r))) 3)

rewrite49.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
949×pow1_binary32
884×add-log-exp_binary32
884×log1p-expm1-u_binary32
884×expm1-log1p-u_binary32
102×add-sqr-sqrt_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
123111
2245511
Stop Event
1×node limit
Counts
1 → 43
Calls
Call 1
Inputs
(pow.f32 (cbrt.f32 (*.f32 s (*.f32 (*.f32 (PI.f32) 6) r))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 s (*.f32 (PI.f32) (*.f32 6 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (*.f32 (*.f32 6 r) s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 6) (*.f32 r s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 r (*.f32 (*.f32 s (PI.f32)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (*.f32 6 r)) s)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))) (pow.f32 (cbrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))) 2) (cbrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 s) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 6 r))) (pow.f32 (cbrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 s) 2) (*.f32 (cbrt.f32 s) (*.f32 (PI.f32) (*.f32 6 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))) 2)) (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6)))) (pow.f32 (cbrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 6 r))) 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 6 r))) s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))) (sqrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (*.f32 (PI.f32) (*.f32 6 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6)) 1/6) (*.f32 (pow.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6)) 1/6) (pow.f32 (cbrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 6 r))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 6 r))) s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 s (PI.f32)) 6) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))) 2)) 3) (cbrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6)) 1/6) 3) (pow.f32 (pow.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 s (PI.f32)) (*.f32 6 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 s r) (*.f32 (PI.f32) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 s (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 6 r))) 2)) (cbrt.f32 (*.f32 (PI.f32) (*.f32 6 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 s (sqrt.f32 (*.f32 (PI.f32) (*.f32 6 r)))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 6 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (PI.f32) (*.f32 6 r)) (pow.f32 (cbrt.f32 s) 2)) (cbrt.f32 s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (PI.f32) (*.f32 6 r)) (sqrt.f32 s)) (sqrt.f32 s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))) 2) 1) (cbrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))) 2) (cbrt.f32 s)) (cbrt.f32 (*.f32 (PI.f32) (*.f32 6 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))) 2))) (cbrt.f32 (cbrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))) 2) (pow.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6)) 1/6)) (pow.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (*.f32 s (PI.f32)) 6) 1) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (*.f32 s (PI.f32)) 6) (cbrt.f32 (*.f32 r r))) (cbrt.f32 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (*.f32 s (PI.f32)) 6) (sqrt.f32 r)) (sqrt.f32 r))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (*.f32 (*.f32 s (PI.f32)) 6)) r))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6)) 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 log1p.f32 (expm1.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) 6))))))))

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
43 → 43
Calls
Call 1
Inputs
Outputs

prune327.0ms (7.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1410141
Fresh044
Picked011
Done022
Total1417148
Error
0.0b
Counts
148 → 7
Alt Table
StatusErrorProgram
✓0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) 3)) (/.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 s (*.f32 (*.f32 (PI.f32) 6) r))) 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)))) (exp.f32 (log.f32 (*.f32 s (*.f32 (*.f32 (PI.f32) 6) r))))))
17.4b
(+.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)))
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 -1/3 (/.f32 r s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))
27.2b
(+.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 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 s) (*.f32 (PI.f32) 6)) r))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 s) (*.f32 (PI.f32) 6)) r))))))
✓0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2) (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))
Compiler

Compiled 5915 to 3720 computations (37.1% saved)

regimes24.0ms (0.5%)

Accuracy

Total -27.1b remaining (-28837.5%)

Threshold costs -27.1b (-28837.5%)

Counts
10 → 1
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (pow.f32 (cbrt.f32 (*.f32 s r)) 2) (*.f32 (cbrt.f32 (*.f32 s r)) (*.f32 2 (PI.f32))))) (/.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 r) s))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) 3)) (/.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 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)))
(+.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))))))
(+.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)))
(+.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)))
(+.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 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 s) (*.f32 (PI.f32) 6)) r))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 s) (*.f32 (PI.f32) 6)) r))))))
(+.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))))))
(*.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))))
(+.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))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) 3)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))
Results
5.0ms0.1bs
6.0ms0.1br
3.0ms0.1b(+.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)))
Compiler

Compiled 395 to 243 computations (38.5% 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)

IterNodesCost
02858
14658
25258
35758
45958
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) 3)) (/.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))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) 3)) (/.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 r) s))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 r s))) 3)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 s 3)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) 6)))))

end25.0ms (0.5%)

Stop Event
1×fuel
Compiler

Compiled 76 to 56 computations (26.3% saved)

Profiling

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