Details

Time bar (total: 3.3s)

analyze55.0ms (1.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%0.1%99.9%0
0%0.1%99.9%1
0%0.1%99.9%2
0.1%0.1%99.9%3
0.1%0.1%99.9%4
0.1%0%99.9%5
0.1%0%99.9%6
0.1%0%99.9%7
0.1%0%99.9%8
0.1%0%99.9%9
0.1%0%99.9%10
0.1%0%99.9%11
0.1%0%99.9%12
Compiler

Compiled 31 to 25 computations (19.4% saved)

sample1.7s (50%)

Results
1.6s8256×body64valid

preprocess113.0ms (3.4%)

Algorithm
2×egg-herbie
Rules
1379×fma-def_binary32
1070×fma-neg_binary32
422×unsub-neg_binary32
353×cancel-sign-sub-inv_binary32
329×sub-neg_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02140
15238
210534
324930
443530
559430
678726
7114626
8188626
9248726
10264026
11313226
12362426
13378526
14387926
15453926
16471126
17497026
18542626
19638526
20772126
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f32 (*.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
(*.f32 (*.f32 3 u) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 s 1/4) 3/4)))))
Outputs
(*.f32 (*.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
(*.f32 3 (*.f32 s (neg.f32 (log.f32 (-.f32 1 (-.f32 (/.f32 u 3/4) 1/3))))))
(*.f32 3 (*.f32 s (neg.f32 (log1p.f32 (/.f32 (neg.f32 (+.f32 u -1/4)) 3/4)))))
(*.f32 s (*.f32 -3 (log1p.f32 (+.f32 (neg.f32 (/.f32 u 3/4)) 1/3))))
(*.f32 s (*.f32 (log.f32 (-.f32 4/3 (/.f32 u 3/4))) -3))
(*.f32 s (*.f32 (log1p.f32 (+.f32 1/3 (/.f32 u -3/4))) -3))
(*.f32 s (*.f32 (log1p.f32 (+.f32 1/3 (*.f32 -4/3 u))) -3))
(*.f32 s (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))
(*.f32 s (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))
(*.f32 (*.f32 3 u) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 s 1/4) 3/4)))))
(*.f32 (*.f32 3 u) (neg.f32 (log.f32 (-.f32 1 (-.f32 (/.f32 s 3/4) 1/3)))))
(neg.f32 (*.f32 (*.f32 3 u) (log1p.f32 (/.f32 (neg.f32 (+.f32 s -1/4)) 3/4))))
(*.f32 u (*.f32 -3 (log1p.f32 (neg.f32 (/.f32 (+.f32 s -1/4) 3/4)))))
(*.f32 (log.f32 (-.f32 4/3 (/.f32 s 3/4))) (*.f32 u -3))
(*.f32 (log1p.f32 (*.f32 -4/3 (+.f32 s -1/4))) (*.f32 u -3))
(*.f32 u (*.f32 (log.f32 (+.f32 (*.f32 -4/3 s) 4/3)) -3))
(*.f32 u (*.f32 (log.f32 (fma.f32 -4/3 s 4/3)) -3))
(*.f32 (log.f32 (fma.f32 s -4/3 4/3)) (*.f32 u -3))
Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify40.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
764×fma-def_binary32
494×fma-neg_binary32
125×cancel-sign-sub-inv_binary32
104×distribute-rgt-in_binary32
87×sub-neg_binary32
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01420
13319
26117
313915
424215
533415
644113
763513
8101313
9127313
10165913
11192113
12235813
13267413
14270913
15271013
16271013
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
Outputs
(*.f32 (*.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
(*.f32 3 (*.f32 s (neg.f32 (log.f32 (-.f32 1 (/.f32 (+.f32 u -1/4) 3/4))))))
(*.f32 (*.f32 3 s) (neg.f32 (log1p.f32 (/.f32 (neg.f32 (+.f32 u -1/4)) 3/4))))
(*.f32 s (*.f32 -3 (log1p.f32 (+.f32 (neg.f32 (/.f32 u 3/4)) 1/3))))
(*.f32 s (*.f32 (log.f32 (-.f32 4/3 (/.f32 u 3/4))) -3))
(*.f32 (log.f32 (+.f32 (/.f32 u -3/4) 4/3)) (*.f32 s -3))
(*.f32 (log.f32 (+.f32 (*.f32 -4/3 u) 4/3)) (*.f32 s -3))
(*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.5b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶0.6b
(*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))
1.4b
(*.f32 (*.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
Compiler

Compiled 79 to 67 computations (15.2% saved)

localize24.0ms (0.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(fma.f32 u -4/3 1/3)
✓0.4b
(*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))
✓0.4b
(log1p.f32 (fma.f32 u -4/3 1/3))

series57.0ms (1.7%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
48.0ms
s
@0
(*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))
2.0ms
u
@inf
(*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))
1.0ms
s
@inf
(*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))
1.0ms
u
@inf
(log1p.f32 (fma.f32 u -4/3 1/3))
1.0ms
u
@0
(log1p.f32 (fma.f32 u -4/3 1/3))

rewrite55.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
888×pow1_binary32
823×add-log-exp_binary32
823×expm1-log1p-u_binary32
822×log1p-expm1-u_binary32
808×add-exp-log_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
120225
2221625
Stop Event
1×node limit
Counts
3 → 49
Calls
Call 1
Inputs
(log1p.f32 (fma.f32 u -4/3 1/3))
(*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))
(fma.f32 u -4/3 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (fma.f32 u -4/3 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (fma.f32 u -4/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 2) (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) (sqrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 (fma.f32 u -4/3 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (fma.f32 u -4/3 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 u -4/3 1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) (*.f32 s -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) 3) (pow.f32 (*.f32 s -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 s -3) 3) (pow.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1/3 (*.f32 u -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u -4/3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 u -4/3) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 u -4/3 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 u -4/3 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) (pow.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) 2) (cbrt.f32 (fma.f32 u -4/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 u -4/3 1/3)) (sqrt.f32 (fma.f32 u -4/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (*.f32 u -4/3) 3) 1/27) (+.f32 (*.f32 (*.f32 u -4/3) (*.f32 u -4/3)) (-.f32 1/9 (*.f32 (*.f32 u -4/3) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 u -4/3) (*.f32 u -4/3)) 1/9) (-.f32 (*.f32 u -4/3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 u -4/3 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u -4/3 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 u -4/3 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 u -4/3 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 u -4/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 u -4/3 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 u -4/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 u -4/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 u -4/3 1/3)))))))

simplify59.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
378×associate-+r+_binary32
363×fma-def_binary32
355×associate-+l-_binary32
337×times-frac_binary32
297×unsub-neg_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
085764
1245730
2703707
32295696
46479696
Stop Event
1×node limit
Counts
97 → 104
Calls
Call 1
Inputs
(log.f32 4/3)
(+.f32 (log.f32 4/3) (*.f32 -1 u))
(+.f32 (log.f32 4/3) (+.f32 (*.f32 -1/2 (pow.f32 u 2)) (*.f32 -1 u)))
(+.f32 (*.f32 -1/3 (pow.f32 u 3)) (+.f32 (log.f32 4/3) (+.f32 (*.f32 -1/2 (pow.f32 u 2)) (*.f32 -1 u))))
(+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4/3)) (/.f32 1 u))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4/3)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u 2))) (/.f32 1 u)))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4/3)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u 3))) (/.f32 1 u))))
(+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4/3)) (/.f32 1 u))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4/3)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u 2))) (/.f32 1 u)))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4/3)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u 3))) (/.f32 1 u))))
(*.f32 -3 (*.f32 s (log.f32 4/3)))
(+.f32 (*.f32 3 (*.f32 s u)) (*.f32 -3 (*.f32 s (log.f32 4/3))))
(+.f32 (*.f32 3/2 (*.f32 s (pow.f32 u 2))) (+.f32 (*.f32 3 (*.f32 s u)) (*.f32 -3 (*.f32 s (log.f32 4/3)))))
(+.f32 (*.f32 3/2 (*.f32 s (pow.f32 u 2))) (+.f32 (*.f32 3 (*.f32 s u)) (+.f32 (*.f32 s (pow.f32 u 3)) (*.f32 -3 (*.f32 s (log.f32 4/3))))))
(*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))
(+.f32 (*.f32 3 (/.f32 s u)) (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u)))))))
(+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))
(+.f32 (*.f32 3 (/.f32 s u)) (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))))))
(+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
1/3
(+.f32 (*.f32 -4/3 u) 1/3)
(+.f32 (*.f32 -4/3 u) 1/3)
(+.f32 (*.f32 -4/3 u) 1/3)
(*.f32 -4/3 u)
(+.f32 1/3 (*.f32 -4/3 u))
(+.f32 1/3 (*.f32 -4/3 u))
(+.f32 1/3 (*.f32 -4/3 u))
(*.f32 -4/3 u)
(+.f32 1/3 (*.f32 -4/3 u))
(+.f32 1/3 (*.f32 -4/3 u))
(+.f32 1/3 (*.f32 -4/3 u))
Outputs
(log.f32 4/3)
(+.f32 (log.f32 4/3) (*.f32 -1 u))
(+.f32 (log.f32 4/3) (neg.f32 u))
(-.f32 (log.f32 4/3) u)
(+.f32 (log.f32 4/3) (+.f32 (*.f32 -1/2 (pow.f32 u 2)) (*.f32 -1 u)))
(+.f32 (log.f32 4/3) (fma.f32 -1/2 (*.f32 u u) (neg.f32 u)))
(+.f32 (log.f32 4/3) (-.f32 (*.f32 u (*.f32 u -1/2)) u))
(-.f32 (fma.f32 u (*.f32 u -1/2) (log.f32 4/3)) u)
(+.f32 (*.f32 -1/3 (pow.f32 u 3)) (+.f32 (log.f32 4/3) (+.f32 (*.f32 -1/2 (pow.f32 u 2)) (*.f32 -1 u))))
(fma.f32 -1/3 (pow.f32 u 3) (+.f32 (log.f32 4/3) (fma.f32 -1/2 (*.f32 u u) (neg.f32 u))))
(+.f32 (-.f32 (*.f32 u (*.f32 u -1/2)) u) (fma.f32 -1/3 (pow.f32 u 3) (log.f32 4/3)))
(-.f32 (fma.f32 -1/3 (pow.f32 u 3) (fma.f32 u (*.f32 u -1/2) (log.f32 4/3))) u)
(+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))
(fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3))
(+.f32 (log.f32 -4/3) (log.f32 u))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4/3)) (/.f32 1 u))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3)) (/.f32 1 u))
(+.f32 (log.f32 -4/3) (-.f32 (log.f32 u) (/.f32 1 u)))
(+.f32 (log.f32 -4/3) (+.f32 (log.f32 u) (/.f32 -1 u)))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4/3)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u 2))) (/.f32 1 u)))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3)) (+.f32 (/.f32 1 u) (/.f32 1/2 (*.f32 u u))))
(+.f32 (log.f32 -4/3) (-.f32 (log.f32 u) (+.f32 (/.f32 1 u) (/.f32 1/2 (*.f32 u u)))))
(+.f32 (log.f32 -4/3) (+.f32 (log.f32 u) (+.f32 (/.f32 -1 u) (/.f32 -1/2 (*.f32 u u)))))
(+.f32 (log.f32 -4/3) (+.f32 (/.f32 -1 u) (+.f32 (log.f32 u) (/.f32 -1/2 (*.f32 u u)))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4/3)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u 3))) (/.f32 1 u))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3)) (+.f32 (/.f32 1/2 (*.f32 u u)) (+.f32 (/.f32 1 u) (/.f32 1/3 (pow.f32 u 3)))))
(+.f32 (log.f32 -4/3) (-.f32 (log.f32 u) (+.f32 (/.f32 1/2 (*.f32 u u)) (+.f32 (/.f32 1 u) (/.f32 1/3 (pow.f32 u 3))))))
(+.f32 (log.f32 -4/3) (-.f32 (+.f32 (log.f32 u) (/.f32 -1/2 (*.f32 u u))) (+.f32 (/.f32 1 u) (/.f32 1/3 (pow.f32 u 3)))))
(+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))
(fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3))
(-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u)))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4/3)) (/.f32 1 u))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3)) (/.f32 1 u))
(+.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (/.f32 -1 u))
(-.f32 (log.f32 4/3) (+.f32 (log.f32 (/.f32 -1 u)) (/.f32 1 u)))
(+.f32 (log.f32 4/3) (-.f32 (/.f32 -1 u) (log.f32 (/.f32 -1 u))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4/3)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u 2))) (/.f32 1 u)))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3)) (+.f32 (/.f32 1 u) (/.f32 1/2 (*.f32 u u))))
(-.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 1 u) (/.f32 1/2 (*.f32 u u))))
(+.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 -1 u) (/.f32 -1/2 (*.f32 u u))))
(+.f32 (log.f32 4/3) (-.f32 (+.f32 (/.f32 -1 u) (/.f32 -1/2 (*.f32 u u))) (log.f32 (/.f32 -1 u))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4/3)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u 3))) (/.f32 1 u))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3)) (+.f32 (/.f32 1/2 (*.f32 u u)) (+.f32 (/.f32 1 u) (/.f32 1/3 (pow.f32 u 3)))))
(-.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 1/2 (*.f32 u u)) (+.f32 (/.f32 1 u) (/.f32 1/3 (pow.f32 u 3)))))
(+.f32 (-.f32 (log.f32 4/3) (-.f32 (log.f32 (/.f32 -1 u)) (/.f32 -1/2 (*.f32 u u)))) (-.f32 (/.f32 -1 u) (/.f32 1/3 (pow.f32 u 3))))
(+.f32 (log.f32 4/3) (+.f32 (-.f32 (+.f32 (/.f32 -1 u) (/.f32 -1/2 (*.f32 u u))) (log.f32 (/.f32 -1 u))) (/.f32 -1/3 (pow.f32 u 3))))
(*.f32 -3 (*.f32 s (log.f32 4/3)))
(*.f32 -3 (*.f32 (log.f32 4/3) s))
(*.f32 (log.f32 4/3) (*.f32 -3 s))
(+.f32 (*.f32 3 (*.f32 s u)) (*.f32 -3 (*.f32 s (log.f32 4/3))))
(fma.f32 3 (*.f32 u s) (*.f32 -3 (*.f32 (log.f32 4/3) s)))
(fma.f32 -3 (*.f32 (log.f32 4/3) s) (*.f32 s (*.f32 u 3)))
(*.f32 s (+.f32 (*.f32 u 3) (*.f32 (log.f32 4/3) -3)))
(*.f32 s (+.f32 (*.f32 (log.f32 4/3) -3) (*.f32 u 3)))
(+.f32 (*.f32 3/2 (*.f32 s (pow.f32 u 2))) (+.f32 (*.f32 3 (*.f32 s u)) (*.f32 -3 (*.f32 s (log.f32 4/3)))))
(fma.f32 3/2 (*.f32 (*.f32 u u) s) (fma.f32 3 (*.f32 u s) (*.f32 -3 (*.f32 (log.f32 4/3) s))))
(fma.f32 3/2 (*.f32 (*.f32 u u) s) (fma.f32 -3 (*.f32 (log.f32 4/3) s) (*.f32 s (*.f32 u 3))))
(fma.f32 (*.f32 u u) (*.f32 s 3/2) (*.f32 s (+.f32 (*.f32 u 3) (*.f32 (log.f32 4/3) -3))))
(*.f32 s (+.f32 (*.f32 (log.f32 4/3) -3) (*.f32 u (+.f32 (*.f32 u 3/2) 3))))
(+.f32 (*.f32 3/2 (*.f32 s (pow.f32 u 2))) (+.f32 (*.f32 3 (*.f32 s u)) (+.f32 (*.f32 s (pow.f32 u 3)) (*.f32 -3 (*.f32 s (log.f32 4/3))))))
(fma.f32 3/2 (*.f32 (*.f32 u u) s) (fma.f32 3 (*.f32 u s) (fma.f32 s (pow.f32 u 3) (*.f32 -3 (*.f32 (log.f32 4/3) s)))))
(fma.f32 3/2 (*.f32 (*.f32 u u) s) (fma.f32 3 (*.f32 u s) (fma.f32 (pow.f32 u 3) s (*.f32 (log.f32 4/3) (*.f32 -3 s)))))
(fma.f32 (*.f32 u u) (*.f32 s 3/2) (fma.f32 (log.f32 4/3) (*.f32 -3 s) (*.f32 s (+.f32 (*.f32 u 3) (pow.f32 u 3)))))
(*.f32 s (+.f32 (+.f32 (pow.f32 u 3) (*.f32 (log.f32 4/3) -3)) (*.f32 u (+.f32 (*.f32 u 3/2) 3))))
(*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))
(*.f32 (*.f32 -3 s) (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3)))
(*.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 -3 s))
(+.f32 (*.f32 3 (/.f32 s u)) (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u)))))))
(fma.f32 3 (/.f32 s u) (*.f32 (*.f32 -3 s) (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3))))
(fma.f32 -3 (*.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) s) (*.f32 3 (/.f32 s u)))
(fma.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 -3 s) (*.f32 3 (/.f32 s u)))
(*.f32 s (+.f32 (*.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) -3) (/.f32 3 u)))
(+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(fma.f32 3 (/.f32 s u) (fma.f32 -3 (*.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3)) s) (*.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 3 (/.f32 s u) (fma.f32 -3 (*.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) s) (*.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 -3 s) (*.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3)))
(fma.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 -3 s) (*.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(+.f32 (fma.f32 3 (/.f32 s u) (fma.f32 -3 (*.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3)) s) (*.f32 3/2 (/.f32 s (*.f32 u u))))) (/.f32 s (pow.f32 u 3)))
(+.f32 (fma.f32 3 (/.f32 s u) (fma.f32 -3 (*.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) s) (*.f32 3/2 (/.f32 s (*.f32 u u))))) (/.f32 s (pow.f32 u 3)))
(+.f32 (fma.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 -3 s) (*.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3))) (/.f32 s (pow.f32 u 3)))
(+.f32 (fma.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 -3 s) (*.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u)))) (/.f32 s (pow.f32 u 3)))
(*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))
(*.f32 (*.f32 -3 s) (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3)))
(*.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s))
(+.f32 (*.f32 3 (/.f32 s u)) (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))))))
(fma.f32 3 (/.f32 s u) (*.f32 (*.f32 -3 s) (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3))))
(fma.f32 3 (/.f32 s u) (*.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s)))
(*.f32 s (+.f32 (/.f32 3 u) (*.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) -3)))
(+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(fma.f32 3 (/.f32 s u) (fma.f32 -3 (*.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3)) s) (*.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 3 (/.f32 s u) (fma.f32 3/2 (/.f32 s (*.f32 u u)) (*.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s))))
(fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s) (*.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3)))
(fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s) (*.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 3 (/.f32 s u) (fma.f32 -3 (*.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3)) s) (*.f32 3/2 (/.f32 s (*.f32 u u))))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 3 (/.f32 s u) (fma.f32 3/2 (/.f32 s (*.f32 u u)) (*.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s) (*.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s) (*.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u)))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
1/3
(+.f32 (*.f32 -4/3 u) 1/3)
(fma.f32 -4/3 u 1/3)
(fma.f32 u -4/3 1/3)
(+.f32 (*.f32 -4/3 u) 1/3)
(fma.f32 -4/3 u 1/3)
(fma.f32 u -4/3 1/3)
(+.f32 (*.f32 -4/3 u) 1/3)
(fma.f32 -4/3 u 1/3)
(fma.f32 u -4/3 1/3)
(*.f32 -4/3 u)
(*.f32 u -4/3)
(+.f32 1/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 1/3)
(fma.f32 u -4/3 1/3)
(+.f32 1/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 1/3)
(fma.f32 u -4/3 1/3)
(+.f32 1/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 1/3)
(fma.f32 u -4/3 1/3)
(*.f32 -4/3 u)
(*.f32 u -4/3)
(+.f32 1/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 1/3)
(fma.f32 u -4/3 1/3)
(+.f32 1/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 1/3)
(fma.f32 u -4/3 1/3)
(+.f32 1/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 1/3)
(fma.f32 u -4/3 1/3)

prune137.0ms (4.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New9311104
Fresh011
Picked101
Done000
Total9412106
Error
0.1b
Counts
106 → 12
Alt Table
StatusErrorProgram
1.1b
(*.f32 (log1p.f32 (-.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) 1)) (*.f32 s -3))
0.9b
(pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 3)
0.9b
(*.f32 (*.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 2)) (*.f32 s -3))
23.9b
(-.f32 (+.f32 1 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 1)
1.4b
(*.f32 (*.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
3.0b
(exp.f32 (log.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))))
1.0b
(*.f32 (log1p.f32 (+.f32 1/3 (*.f32 -4/3 u))) (*.f32 s -3))
1.1b
(*.f32 (log1p.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) 3)) (*.f32 s -3))
1.2b
(*.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 (*.f32 u -4/3) (*.f32 u -4/3)) 1/9) (-.f32 (*.f32 u -4/3) 1/3))) (*.f32 s -3))
0.9b
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 3) (*.f32 s -3))
1.0b
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
▶0.7b
(pow.f32 (sqrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 2)
Compiler

Compiled 1910 to 1530 computations (19.9% saved)

localize33.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(fma.f32 u -4/3 1/3)
0.4b
(*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))
0.4b
(log1p.f32 (fma.f32 u -4/3 1/3))
✓0.5b
(pow.f32 (sqrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 2)

series13.0ms (0.4%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
4.0ms
u
@-inf
(pow.f32 (sqrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 2)
3.0ms
s
@0
(pow.f32 (sqrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 2)
2.0ms
s
@-inf
(pow.f32 (sqrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 2)
2.0ms
u
@inf
(pow.f32 (sqrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 2)
2.0ms
u
@0
(pow.f32 (sqrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 2)

rewrite47.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
492×log-prod_binary32
378×exp-prod_binary32
326×prod-exp_binary32
281×pow2_binary32
280×pow-prod-down_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
126813
2266413
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(pow.f32 (sqrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) s) -6))) (log.f32 (cbrt.f32 (pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) (*.f32 s -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) (*.f32 s -3)))) (log.f32 (sqrt.f32 (pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) (*.f32 s -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 s (*.f32 -3 (log1p.f32 (fma.f32 u -4/3 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -3 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 s -3) (log1p.f32 (fma.f32 u -4/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) (sqrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 s -3)) 2) (*.f32 (cbrt.f32 (*.f32 s -3)) (log1p.f32 (fma.f32 u -4/3 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 2) (*.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) (*.f32 s -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) (pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 2) (cbrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3)) 1/4) (pow.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 s -3)) (*.f32 (sqrt.f32 (*.f32 s -3)) (log1p.f32 (fma.f32 u -4/3 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) (*.f32 (sqrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) (*.f32 s -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) (pow.f32 (*.f32 (*.f32 s -3) (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) s) -3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3)) 3/4) (pow.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3) s)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (pow.f32 (cbrt.f32 (*.f32 s -3)) 2)) (cbrt.f32 (*.f32 s -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (sqrt.f32 (*.f32 s -3))) (sqrt.f32 (*.f32 s -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 s -3) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 2)) (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 s -3) (sqrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3)))) (sqrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3)) 5/6) (pow.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3)) (log1p.f32 (fma.f32 u -4/3 1/3))) 1/2) (sqrt.f32 (*.f32 s -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) s) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) (*.f32 s -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))))))))

simplify31.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
601×times-frac_binary32
408×associate-/l*_binary32
407×associate-+l+_binary32
377×associate-*l/_binary32
355×associate-*r/_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068496
1180388
2519291
32259286
Stop Event
1×node limit
Counts
49 → 61
Calls
Call 1
Inputs
(pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))) 2)
(+.f32 (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))) 2) (*.f32 3 (*.f32 s u)))
(+.f32 (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))) 2) (+.f32 (*.f32 3 (*.f32 s u)) (*.f32 (-.f32 (+.f32 (*.f32 9/4 (/.f32 (pow.f32 s 2) (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))) 2))) (*.f32 3/2 s)) (pow.f32 (*.f32 3/2 (/.f32 s (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))))) 2)) (pow.f32 u 2))))
(+.f32 (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))) 2) (+.f32 (*.f32 3 (*.f32 s u)) (+.f32 (*.f32 s (pow.f32 u 3)) (*.f32 (-.f32 (+.f32 (*.f32 9/4 (/.f32 (pow.f32 s 2) (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))) 2))) (*.f32 3/2 s)) (pow.f32 (*.f32 3/2 (/.f32 s (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))))) 2)) (pow.f32 u 2)))))
(pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))) 2)
(+.f32 (*.f32 3 (/.f32 s u)) (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))) 2))
(+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))) 2) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))) 2) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))) 2)
(+.f32 (*.f32 3 (/.f32 s u)) (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))) 2))
(+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))) 2) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))) 2) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
Outputs
(pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))) 2)
(*.f32 -3 (*.f32 s (log.f32 4/3)))
(*.f32 (log.f32 4/3) (*.f32 -3 s))
(+.f32 (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))) 2) (*.f32 3 (*.f32 s u)))
(fma.f32 3 (*.f32 s u) (*.f32 -3 (*.f32 s (log.f32 4/3))))
(*.f32 s (+.f32 (*.f32 -3 (log.f32 4/3)) (*.f32 3 u)))
(+.f32 (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))) 2) (+.f32 (*.f32 3 (*.f32 s u)) (*.f32 (-.f32 (+.f32 (*.f32 9/4 (/.f32 (pow.f32 s 2) (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))) 2))) (*.f32 3/2 s)) (pow.f32 (*.f32 3/2 (/.f32 s (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))))) 2)) (pow.f32 u 2))))
(+.f32 (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))) 2) (fma.f32 3 (*.f32 s u) (*.f32 (-.f32 (fma.f32 9/4 (/.f32 (*.f32 s s) (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))) 2)) (*.f32 s 3/2)) (pow.f32 (*.f32 3/2 (/.f32 s (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))))) 2)) (*.f32 u u))))
(+.f32 (*.f32 -3 (*.f32 s (log.f32 4/3))) (fma.f32 3 (*.f32 s u) (*.f32 (-.f32 (fma.f32 s 3/2 (/.f32 9/4 (/.f32 (*.f32 -3 (*.f32 s (log.f32 4/3))) (*.f32 s s)))) (/.f32 9/4 (/.f32 (*.f32 -3 (*.f32 s (log.f32 4/3))) (*.f32 s s)))) (*.f32 u u))))
(fma.f32 (log.f32 4/3) (*.f32 -3 s) (*.f32 u (+.f32 (*.f32 u (fma.f32 s 3/2 0)) (*.f32 s 3))))
(fma.f32 -3 (*.f32 s (log.f32 4/3)) (*.f32 u (+.f32 (*.f32 u (*.f32 s 3/2)) (*.f32 s 3))))
(+.f32 (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))) 2) (+.f32 (*.f32 3 (*.f32 s u)) (+.f32 (*.f32 s (pow.f32 u 3)) (*.f32 (-.f32 (+.f32 (*.f32 9/4 (/.f32 (pow.f32 s 2) (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))) 2))) (*.f32 3/2 s)) (pow.f32 (*.f32 3/2 (/.f32 s (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))))) 2)) (pow.f32 u 2)))))
(+.f32 (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))) 2) (fma.f32 3 (*.f32 s u) (fma.f32 s (pow.f32 u 3) (*.f32 (-.f32 (fma.f32 9/4 (/.f32 (*.f32 s s) (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))) 2)) (*.f32 s 3/2)) (pow.f32 (*.f32 3/2 (/.f32 s (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 4/3)))))) 2)) (*.f32 u u)))))
(+.f32 (*.f32 -3 (*.f32 s (log.f32 4/3))) (fma.f32 3 (*.f32 s u) (fma.f32 (-.f32 (fma.f32 s 3/2 (/.f32 9/4 (/.f32 (*.f32 -3 (*.f32 s (log.f32 4/3))) (*.f32 s s)))) (/.f32 9/4 (/.f32 (*.f32 -3 (*.f32 s (log.f32 4/3))) (*.f32 s s)))) (*.f32 u u) (*.f32 s (pow.f32 u 3)))))
(fma.f32 s (*.f32 3 u) (fma.f32 (log.f32 4/3) (*.f32 -3 s) (*.f32 (*.f32 u u) (+.f32 (fma.f32 s 3/2 0) (*.f32 s u)))))
(fma.f32 -3 (*.f32 s (log.f32 4/3)) (*.f32 u (+.f32 (*.f32 s 3) (*.f32 u (+.f32 (*.f32 s 3/2) (*.f32 s u))))))
(pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))) 2)
(pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u))))))) 2)
(*.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 -3 s))
(*.f32 s (*.f32 -3 (+.f32 (log.f32 -4/3) (log.f32 u))))
(+.f32 (*.f32 3 (/.f32 s u)) (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))) 2))
(fma.f32 3 (/.f32 s u) (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u))))))) 2))
(fma.f32 3 (/.f32 s u) (*.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 -3 s)))
(fma.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 -3 s) (*.f32 3 (/.f32 s u)))
(*.f32 s (+.f32 (*.f32 -3 (+.f32 (log.f32 -4/3) (log.f32 u))) (/.f32 3 u)))
(+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))) 2) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (fma.f32 3 (/.f32 s u) (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u))))))) 2)) (/.f32 (*.f32 s 3/2) (*.f32 u u)))
(fma.f32 3 (/.f32 s u) (fma.f32 3/2 (/.f32 s (*.f32 u u)) (*.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 -3 s))))
(fma.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 -3 s) (*.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3)))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))) 2) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(+.f32 (+.f32 (fma.f32 3 (/.f32 s u) (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u))))))) 2)) (/.f32 (*.f32 s 3/2) (*.f32 u u))) (/.f32 s (pow.f32 u 3)))
(+.f32 (fma.f32 3 (/.f32 s u) (fma.f32 3/2 (/.f32 s (*.f32 u u)) (*.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 -3 s)))) (/.f32 s (pow.f32 u 3)))
(+.f32 (fma.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 -3 s) (*.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3))) (/.f32 s (pow.f32 u 3)))
(pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))) 2)
(pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u))))))) 2)
(*.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s))
(+.f32 (*.f32 3 (/.f32 s u)) (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))) 2))
(fma.f32 3 (/.f32 s u) (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u))))))) 2))
(fma.f32 3 (/.f32 s u) (*.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s)))
(fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s) (*.f32 3 (/.f32 s u)))
(*.f32 s (+.f32 (/.f32 3 u) (*.f32 -3 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))))))
(+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))) 2) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(fma.f32 3 (/.f32 s u) (+.f32 (/.f32 (*.f32 s 3/2) (*.f32 u u)) (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u))))))) 2)))
(fma.f32 3 (/.f32 s u) (fma.f32 3/2 (/.f32 s (*.f32 u u)) (*.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s))))
(fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s) (*.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3)))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))) 2) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 3 (/.f32 s u) (+.f32 (/.f32 (*.f32 s 3/2) (*.f32 u u)) (pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u))))))) 2))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 3 (/.f32 s u) (fma.f32 3/2 (/.f32 s (*.f32 u u)) (*.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s) (*.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3))))

prune184.0ms (5.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1596165
Fresh6511
Picked011
Done000
Total16512177
Error
0.0b
Counts
177 → 12
Alt Table
StatusErrorProgram
0.9b
(*.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (pow.f32 (cbrt.f32 (*.f32 s -3)) 2)) (cbrt.f32 (*.f32 s -3)))
▶0.6b
(*.f32 (*.f32 s -3) (log1p.f32 (fma.f32 u -4/3 1/3)))
0.9b
(pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 3)
1.1b
(*.f32 (log1p.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) 3)) (*.f32 s -3))
3.0b
(exp.f32 (log.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))))
0.6b
(*.f32 s (*.f32 -3 (log1p.f32 (fma.f32 u -4/3 1/3))))
0.9b
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 2) (*.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) (*.f32 s -3)))
1.2b
(*.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 (*.f32 u -4/3) (*.f32 u -4/3)) 1/9) (-.f32 (*.f32 u -4/3) 1/3))) (*.f32 s -3))
0.9b
(*.f32 (pow.f32 (cbrt.f32 (*.f32 s -3)) 2) (*.f32 (cbrt.f32 (*.f32 s -3)) (log1p.f32 (fma.f32 u -4/3 1/3))))
1.0b
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
1.1b
(pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) 2)
✓0.7b
(pow.f32 (sqrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 2)
Compiler

Compiled 3324 to 2709 computations (18.5% saved)

localize23.0ms (0.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(fma.f32 u -4/3 1/3)
✓0.4b
(*.f32 (*.f32 s -3) (log1p.f32 (fma.f32 u -4/3 1/3)))
0.4b
(log1p.f32 (fma.f32 u -4/3 1/3))

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
s
@0
(*.f32 (*.f32 s -3) (log1p.f32 (fma.f32 u -4/3 1/3)))
0.0ms
u
@inf
(*.f32 (*.f32 s -3) (log1p.f32 (fma.f32 u -4/3 1/3)))
0.0ms
u
@-inf
(*.f32 (*.f32 s -3) (log1p.f32 (fma.f32 u -4/3 1/3)))
0.0ms
s
@inf
(*.f32 (*.f32 s -3) (log1p.f32 (fma.f32 u -4/3 1/3)))
0.0ms
u
@0
(*.f32 (*.f32 s -3) (log1p.f32 (fma.f32 u -4/3 1/3)))

rewrite51.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
885×pow1_binary32
820×add-log-exp_binary32
820×expm1-log1p-u_binary32
819×log1p-expm1-u_binary32
806×add-exp-log_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
120213
2220913
Stop Event
1×node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f32 (*.f32 s -3) (log1p.f32 (fma.f32 u -4/3 1/3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) (*.f32 s -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 s -3) 3) (pow.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) 3) (pow.f32 (*.f32 s -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))))))))

simplify50.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
387×sub-neg_binary32
377×distribute-lft-out_binary32
342×unsub-neg_binary32
293×*-commutative_binary32
270×fma-def_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057488
1155464
2423445
31293434
42985434
56431434
Stop Event
1×node limit
Counts
37 → 39
Calls
Call 1
Inputs
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 4/3)))
(+.f32 (*.f32 3 (*.f32 s u)) (*.f32 -3 (*.f32 s (log.f32 4/3))))
(+.f32 (*.f32 3/2 (*.f32 s (pow.f32 u 2))) (+.f32 (*.f32 3 (*.f32 s u)) (*.f32 -3 (*.f32 s (log.f32 4/3)))))
(+.f32 (*.f32 3/2 (*.f32 s (pow.f32 u 2))) (+.f32 (*.f32 3 (*.f32 s u)) (+.f32 (*.f32 s (pow.f32 u 3)) (*.f32 -3 (*.f32 s (log.f32 4/3))))))
(*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))
(+.f32 (*.f32 3 (/.f32 s u)) (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u)))))))
(+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))
(+.f32 (*.f32 3 (/.f32 s u)) (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))))))
(+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
Outputs
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 (*.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 4/3)))
(*.f32 (log.f32 4/3) (*.f32 -3 s))
(*.f32 s (*.f32 -3 (log.f32 4/3)))
(+.f32 (*.f32 3 (*.f32 s u)) (*.f32 -3 (*.f32 s (log.f32 4/3))))
(fma.f32 3 (*.f32 s u) (*.f32 -3 (*.f32 s (log.f32 4/3))))
(fma.f32 3 (*.f32 s u) (*.f32 (log.f32 4/3) (*.f32 -3 s)))
(*.f32 s (+.f32 (*.f32 -3 (log.f32 4/3)) (*.f32 u 3)))
(+.f32 (*.f32 3/2 (*.f32 s (pow.f32 u 2))) (+.f32 (*.f32 3 (*.f32 s u)) (*.f32 -3 (*.f32 s (log.f32 4/3)))))
(fma.f32 3/2 (*.f32 s (*.f32 u u)) (fma.f32 3 (*.f32 s u) (*.f32 -3 (*.f32 s (log.f32 4/3)))))
(fma.f32 3/2 (*.f32 s (*.f32 u u)) (fma.f32 3 (*.f32 s u) (*.f32 (log.f32 4/3) (*.f32 -3 s))))
(fma.f32 -3 (*.f32 s (log.f32 4/3)) (*.f32 s (+.f32 (*.f32 u 3) (*.f32 u (*.f32 u 3/2)))))
(*.f32 s (+.f32 (*.f32 -3 (log.f32 4/3)) (*.f32 u (+.f32 3 (*.f32 u 3/2)))))
(+.f32 (*.f32 3/2 (*.f32 s (pow.f32 u 2))) (+.f32 (*.f32 3 (*.f32 s u)) (+.f32 (*.f32 s (pow.f32 u 3)) (*.f32 -3 (*.f32 s (log.f32 4/3))))))
(fma.f32 3/2 (*.f32 s (*.f32 u u)) (fma.f32 3 (*.f32 s u) (fma.f32 s (pow.f32 u 3) (*.f32 -3 (*.f32 s (log.f32 4/3))))))
(fma.f32 3/2 (*.f32 s (*.f32 u u)) (fma.f32 3 (*.f32 s u) (fma.f32 -3 (*.f32 s (log.f32 4/3)) (*.f32 s (pow.f32 u 3)))))
(fma.f32 s (*.f32 u (*.f32 u 3/2)) (fma.f32 -3 (*.f32 s (log.f32 4/3)) (*.f32 s (+.f32 (pow.f32 u 3) (*.f32 u 3)))))
(*.f32 s (+.f32 (+.f32 (pow.f32 u 3) (*.f32 -3 (log.f32 4/3))) (*.f32 u (+.f32 3 (*.f32 u 3/2)))))
(*.f32 s (+.f32 (*.f32 -3 (log.f32 4/3)) (*.f32 u (+.f32 (+.f32 3 (*.f32 u u)) (*.f32 u 3/2)))))
(*.f32 s (+.f32 (*.f32 -3 (log.f32 4/3)) (*.f32 u (+.f32 (+.f32 3 (*.f32 u 3/2)) (*.f32 u u)))))
(*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))
(*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u))))))
(*.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (log.f32 u))))
(*.f32 s (*.f32 -3 (+.f32 (log.f32 -4/3) (log.f32 u))))
(+.f32 (*.f32 3 (/.f32 s u)) (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u)))))))
(fma.f32 3 (/.f32 s u) (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u)))))))
(fma.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (log.f32 u))) (/.f32 (*.f32 s 3) u))
(fma.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (log.f32 u))) (*.f32 3 (/.f32 s u)))
(*.f32 s (+.f32 (*.f32 -3 (+.f32 (log.f32 -4/3) (log.f32 u))) (/.f32 3 u)))
(+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(fma.f32 3 (/.f32 s u) (fma.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u))))) (*.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 3 (/.f32 s u) (fma.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (log.f32 u))) (*.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (log.f32 u))) (*.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(+.f32 (fma.f32 3 (/.f32 s u) (fma.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u))))) (*.f32 3/2 (/.f32 s (*.f32 u u))))) (/.f32 s (pow.f32 u 3)))
(+.f32 (fma.f32 3 (/.f32 s u) (fma.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (log.f32 u))) (*.f32 3/2 (/.f32 s (*.f32 u u))))) (/.f32 s (pow.f32 u 3)))
(+.f32 (fma.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (log.f32 u))) (*.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u)))) (/.f32 s (pow.f32 u 3)))
(*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))
(*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u))))))
(*.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u)))))
(+.f32 (*.f32 3 (/.f32 s u)) (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))))))
(fma.f32 3 (/.f32 s u) (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u)))))))
(fma.f32 -3 (*.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u)))) (/.f32 (*.f32 s 3) u))
(fma.f32 -3 (*.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u)))) (*.f32 3 (/.f32 s u)))
(*.f32 s (+.f32 (*.f32 -3 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u)))) (/.f32 3 u)))
(+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(fma.f32 3 (/.f32 s u) (fma.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u))))) (*.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 3 (/.f32 s u) (fma.f32 3/2 (/.f32 s (*.f32 u u)) (*.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s))))
(fma.f32 -3 (*.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u)))) (*.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u))))
(fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s) (*.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 3 (/.f32 s u) (fma.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u))))) (*.f32 3/2 (/.f32 s (*.f32 u u))))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 3 (/.f32 s u) (fma.f32 3/2 (/.f32 s (*.f32 u u)) (*.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 -3 (*.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u)))) (*.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s) (*.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u)))))

prune108.0ms (3.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New995104
Fresh3710
Picked101
Done011
Total10313116
Error
0.0b
Counts
116 → 13
Alt Table
StatusErrorProgram
0.9b
(pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 3)
▶0.6b
(pow.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))) 1)
1.0b
(*.f32 (*.f32 s -3) (log1p.f32 (+.f32 (*.f32 -4/3 u) 1/3)))
1.2b
(*.f32 (*.f32 s -3) (log1p.f32 (/.f32 (-.f32 (*.f32 (*.f32 u -4/3) (*.f32 u -4/3)) 1/9) (-.f32 (*.f32 u -4/3) 1/3))))
0.9b
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 2) (*.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) (*.f32 s -3)))
1.0b
(*.f32 (*.f32 s -3) (-.f32 (+.f32 1 (log1p.f32 (fma.f32 u -4/3 1/3))) 1))
0.9b
(*.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (pow.f32 (cbrt.f32 (*.f32 s -3)) 2)) (cbrt.f32 (*.f32 s -3)))
1.0b
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
3.0b
(exp.f32 (log.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))))
0.6b
(*.f32 s (*.f32 -3 (log1p.f32 (fma.f32 u -4/3 1/3))))
0.9b
(*.f32 (pow.f32 (cbrt.f32 (*.f32 s -3)) 2) (*.f32 (cbrt.f32 (*.f32 s -3)) (log1p.f32 (fma.f32 u -4/3 1/3))))
1.0b
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
✓0.7b
(pow.f32 (sqrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 2)
Compiler

Compiled 1924 to 1536 computations (20.2% saved)

localize28.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))
✓0.3b
(*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))
0.3b
(fma.f32 u -4/3 1/3)
0.4b
(log1p.f32 (fma.f32 u -4/3 1/3))

series4.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
u
@0
(*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))
0.0ms
s
@-inf
(*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))
0.0ms
u
@inf
(*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))
0.0ms
u
@-inf
(*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))
0.0ms
s
@0
(*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))

rewrite53.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
886×pow1_binary32
821×add-log-exp_binary32
821×expm1-log1p-u_binary32
820×log1p-expm1-u_binary32
807×add-exp-log_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
120223
2221123
Stop Event
1×node limit
Counts
2 → 24
Calls
Call 1
Inputs
(*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))
(*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 9 (pow.f32 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) s) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) s))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 s 3) (pow.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) 3) (pow.f32 s 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))))))))

simplify60.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
677×times-frac_binary32
572×fma-def_binary32
548×associate-+l+_binary32
360×associate-*l*_binary32
358×sub-neg_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
082906
1236852
2723810
32480793
46742793
Stop Event
1×node limit
Counts
72 → 76
Calls
Call 1
Inputs
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 4/3)))
(+.f32 (*.f32 3 (*.f32 s u)) (*.f32 -3 (*.f32 s (log.f32 4/3))))
(+.f32 (*.f32 3/2 (*.f32 s (pow.f32 u 2))) (+.f32 (*.f32 3 (*.f32 s u)) (*.f32 -3 (*.f32 s (log.f32 4/3)))))
(+.f32 (*.f32 3/2 (*.f32 s (pow.f32 u 2))) (+.f32 (*.f32 3 (*.f32 s u)) (+.f32 (*.f32 s (pow.f32 u 3)) (*.f32 -3 (*.f32 s (log.f32 4/3))))))
(*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))
(+.f32 (*.f32 3 (/.f32 s u)) (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u)))))))
(+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))
(+.f32 (*.f32 3 (/.f32 s u)) (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))))))
(+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(*.f32 s (log.f32 (+.f32 4/3 (*.f32 -4/3 u))))
(*.f32 s (log.f32 (+.f32 4/3 (*.f32 -4/3 u))))
(*.f32 s (log.f32 (+.f32 4/3 (*.f32 -4/3 u))))
(*.f32 s (log.f32 (+.f32 4/3 (*.f32 -4/3 u))))
(*.f32 s (log.f32 (+.f32 4/3 (*.f32 -4/3 u))))
(*.f32 s (log.f32 (+.f32 4/3 (*.f32 -4/3 u))))
(*.f32 s (log.f32 (+.f32 4/3 (*.f32 -4/3 u))))
(*.f32 s (log.f32 (+.f32 4/3 (*.f32 -4/3 u))))
(*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3)))
(*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3)))
(*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3)))
(*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3)))
(*.f32 s (log.f32 4/3))
(+.f32 (*.f32 s (log.f32 4/3)) (*.f32 -1 (*.f32 s u)))
(+.f32 (*.f32 s (log.f32 4/3)) (+.f32 (*.f32 -1 (*.f32 s u)) (*.f32 -1/2 (*.f32 s (pow.f32 u 2)))))
(+.f32 (*.f32 s (log.f32 4/3)) (+.f32 (*.f32 -1 (*.f32 s u)) (+.f32 (*.f32 -1/2 (*.f32 s (pow.f32 u 2))) (*.f32 -1/3 (*.f32 s (pow.f32 u 3))))))
(*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u)))))
(+.f32 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))) (*.f32 -1 (/.f32 s u)))
(+.f32 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))) (+.f32 (*.f32 -1 (/.f32 s u)) (*.f32 -1/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (*.f32 -1/3 (/.f32 s (pow.f32 u 3))) (+.f32 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))) (+.f32 (*.f32 -1 (/.f32 s u)) (*.f32 -1/2 (/.f32 s (pow.f32 u 2))))))
(*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))))
(+.f32 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))) (*.f32 -1 (/.f32 s u)))
(+.f32 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))) (+.f32 (*.f32 -1 (/.f32 s u)) (*.f32 -1/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))) (+.f32 (*.f32 -1/3 (/.f32 s (pow.f32 u 3))) (+.f32 (*.f32 -1 (/.f32 s u)) (*.f32 -1/2 (/.f32 s (pow.f32 u 2))))))
Outputs
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 -3 (*.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 -4/3 u 4/3))))
(*.f32 s (*.f32 -3 (log.f32 (fma.f32 -4/3 u 4/3))))
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(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (*.f32 3 (/.f32 s u)) (+.f32 (*.f32 -3 (*.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
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(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 3 (/.f32 s u) (fma.f32 (*.f32 -3 s) (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 3/2 (/.f32 s (*.f32 u u))))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s) (*.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3))))
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(*.f32 s (log.f32 4/3))
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(fma.f32 s (log.f32 4/3) (neg.f32 (*.f32 s u)))
(-.f32 (*.f32 s (log.f32 4/3)) (*.f32 s u))
(*.f32 s (-.f32 (log.f32 4/3) u))
(+.f32 (*.f32 s (log.f32 4/3)) (+.f32 (*.f32 -1 (*.f32 s u)) (*.f32 -1/2 (*.f32 s (pow.f32 u 2)))))
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(*.f32 s (+.f32 (log.f32 4/3) (-.f32 (*.f32 (*.f32 u u) -1/2) u)))
(+.f32 (*.f32 s (log.f32 4/3)) (+.f32 (*.f32 -1 (*.f32 s u)) (+.f32 (*.f32 -1/2 (*.f32 s (pow.f32 u 2))) (*.f32 -1/3 (*.f32 s (pow.f32 u 3))))))
(fma.f32 s (log.f32 4/3) (fma.f32 -1 (*.f32 s u) (fma.f32 -1/2 (*.f32 s (*.f32 u u)) (*.f32 (*.f32 -1/3 s) (pow.f32 u 3)))))
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(*.f32 s (+.f32 (log.f32 -4/3) (log.f32 u)))
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(-.f32 (*.f32 s (+.f32 (log.f32 -4/3) (log.f32 u))) (/.f32 s u))
(+.f32 (*.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))) (+.f32 (*.f32 -1 (/.f32 s u)) (*.f32 -1/2 (/.f32 s (pow.f32 u 2)))))
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(-.f32 (*.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u)))) (/.f32 s u))
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(fma.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u)))) (fma.f32 -1/3 (/.f32 s (pow.f32 u 3)) (fma.f32 -1 (/.f32 s u) (*.f32 (/.f32 s (*.f32 u u)) -1/2))))
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(fma.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (-.f32 (*.f32 (/.f32 s (*.f32 u u)) (+.f32 (/.f32 -1/3 u) -1/2)) (/.f32 s u)))
(fma.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 (/.f32 s u) (+.f32 -1 (+.f32 (/.f32 -1/3 (*.f32 u u)) (/.f32 -1/2 u)))))

prune237.0ms (7.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1392141
Fresh11011
Picked011
Done011
Total14014154
Error
0.0b
Counts
154 → 14
Alt Table
StatusErrorProgram
0.9b
(pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 3)
✓0.6b
(pow.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))) 1)
1.0b
(*.f32 (*.f32 s -3) (log1p.f32 (+.f32 (*.f32 -4/3 u) 1/3)))
1.2b
(*.f32 (*.f32 s -3) (log1p.f32 (/.f32 (-.f32 (*.f32 (*.f32 u -4/3) (*.f32 u -4/3)) 1/9) (-.f32 (*.f32 u -4/3) 1/3))))
0.9b
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 2) (*.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) (*.f32 s -3)))
0.9b
(*.f32 (pow.f32 (cbrt.f32 (*.f32 s -3)) 2) (*.f32 (cbrt.f32 (*.f32 s -3)) (log1p.f32 (fma.f32 u -4/3 1/3))))
0.9b
(pow.f32 (*.f32 -3 (pow.f32 (cbrt.f32 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))) 3)) 1)
1.0b
(*.f32 (*.f32 s -3) (-.f32 (+.f32 1 (log1p.f32 (fma.f32 u -4/3 1/3))) 1))
0.9b
(*.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (pow.f32 (cbrt.f32 (*.f32 s -3)) 2)) (cbrt.f32 (*.f32 s -3)))
1.0b
(pow.f32 (*.f32 -3 (*.f32 s (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3)))) 1)
1.0b
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
0.6b
(*.f32 s (*.f32 -3 (log1p.f32 (fma.f32 u -4/3 1/3))))
1.0b
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
✓0.7b
(pow.f32 (sqrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 2)
Compiler

Compiled 2630 to 2117 computations (19.5% saved)

regimes175.0ms (5.3%)

Accuracy

Total -23.4b remaining (-3871.9%)

Threshold costs -23.4b (-3871.9%)

Counts
26 → 1
Calls
Call 1
Inputs
(pow.f32 (*.f32 -3 (pow.f32 (cbrt.f32 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))) 3)) 1)
(pow.f32 (*.f32 -3 (*.f32 s (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3)))) 1)
(pow.f32 (*.f32 -3 (*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))) 1)
(*.f32 (*.f32 s -3) (log1p.f32 (+.f32 (*.f32 -4/3 u) 1/3)))
(*.f32 (*.f32 s -3) (log1p.f32 (/.f32 (-.f32 (*.f32 (*.f32 u -4/3) (*.f32 u -4/3)) 1/9) (-.f32 (*.f32 u -4/3) 1/3))))
(*.f32 (*.f32 s -3) (-.f32 (+.f32 1 (log1p.f32 (fma.f32 u -4/3 1/3))) 1))
(*.f32 (log.f32 (fma.f32 -4/3 u 4/3)) (*.f32 -3 s))
(*.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (pow.f32 (cbrt.f32 (*.f32 s -3)) 2)) (cbrt.f32 (*.f32 s -3)))
(*.f32 (*.f32 s -3) (log1p.f32 (fma.f32 u -4/3 1/3)))
(*.f32 s (*.f32 -3 (log1p.f32 (fma.f32 u -4/3 1/3))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 2) (*.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) (*.f32 s -3)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 s -3)) 2) (*.f32 (cbrt.f32 (*.f32 s -3)) (log1p.f32 (fma.f32 u -4/3 1/3))))
(pow.f32 (sqrt.f32 (*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))) 2)
(*.f32 (log1p.f32 (-.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) 1)) (*.f32 s -3))
(pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 3)
(*.f32 (*.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 2)) (*.f32 s -3))
(-.f32 (+.f32 1 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 1)
(exp.f32 (log.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))))
(*.f32 (log1p.f32 (+.f32 1/3 (*.f32 -4/3 u))) (*.f32 s -3))
(*.f32 (log1p.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) 3)) (*.f32 s -3))
(*.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 (*.f32 u -4/3) (*.f32 u -4/3)) 1/9) (-.f32 (*.f32 u -4/3) 1/3))) (*.f32 s -3))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 3) (*.f32 s -3))
(*.f32 -3 (*.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(pow.f32 (sqrt.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))) 2)
(*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (*.f32 s -3))
(*.f32 (*.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
Outputs
(*.f32 (*.f32 s -3) (log1p.f32 (fma.f32 u -4/3 1/3)))
Results
16.0ms0.6bs
14.0ms0.6bu
16.0ms0.6b(*.f32 (*.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
15.0ms0.6b(*.f32 3 s)
13.0ms0.6b(log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))))
14.0ms0.6b(/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))
18.0ms0.6b(-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))
14.0ms0.6b(/.f32 (-.f32 u 1/4) 3/4)
42.0ms0.6b(-.f32 u 1/4)
Compiler

Compiled 411 to 341 computations (17% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11213
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (*.f32 s -3) (log1p.f32 (fma.f32 u -4/3 1/3)))
Outputs
(*.f32 (*.f32 s -3) (log1p.f32 (fma.f32 u -4/3 1/3)))

end15.0ms (0.5%)

Stop Event
1×fuel
Compiler

Compiled 22 to 18 computations (18.2% saved)

Profiling

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