Details

Time bar (total: 5.0s)

analyze101.0ms (2%)

Algorithm
search
Search
TrueOtherFalseIter
0%1.5%98.5%0
0%1.5%98.5%1
0%1.5%98.5%2
0.8%0.8%98.5%3
0.8%0.8%98.5%4
1.2%0.4%98.5%5
1.2%0.4%98.5%6
1.4%0.2%98.5%7
1.4%0.2%98.5%8
1.4%0.1%98.5%9
1.4%0.1%98.5%10
1.5%0%98.5%11
1.5%0%98.5%12
1.5%0%98.5%13
1.5%0%98.5%14
Compiler

Compiled 27 to 21 computations (22.2% saved)

sample460.0ms (9.1%)

Algorithm
intervals
Results
20.0ms256×body128valid
6.0ms256×pre128true
Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify22.0ms (0.4%)

Algorithm
egg-herbie
Rules
175×fma-neg_binary32
156×fma-def_binary32
46×cancel-sign-sub-inv_binary32
46×sub-neg_binary32
29×distribute-rgt-in_binary32
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01014
12411
23811
36411
48311
511011
614411
719411
824411
929111
1031911
1136211
1240111
1347811
1449111
1544311

prune6.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.2b
Counts
3 → 2
Alt Table
StatusErrorProgram
13.0b
(*.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4 u)))))
0.2b
(*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))
Compiler

Compiled 61 to 49 computations (19.7% saved)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 (*.f32 u -4))
0.2b
(*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))

series310.0ms (6.1%)

Counts
2 → 36
Calls

2 calls:

307.0ms
(*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))
3.0ms
(log1p.f32 (*.f32 u -4))

rewrite6.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
10×associate-*r*_binary32
add-sqr-sqrt_binary32
*-un-lft-identity_binary32
add-cube-cbrt_binary32
add-cbrt-cube_binary32
Counts
2 → 39
Calls

2 calls:

4.0ms
(*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))
0.0ms
(log1p.f32 (*.f32 u -4))

simplify63.0ms (1.3%)

Algorithm
egg-herbie
Rules
715×fma-neg_binary32
622×fma-def_binary32
409×unsub-neg_binary32
304×times-frac_binary32
234×associate-+l+_binary32
Counts
75 → 100
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01571231
14411117
214151071
336451067
451071067

prune83.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New928100
Fresh101
Picked101
Done000
Total948102
Error
0.0b
Counts
102 → 8
Alt Table
StatusErrorProgram
0.7b
(*.f32 (*.f32 s (*.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) (cbrt.f32 (log1p.f32 (*.f32 u -4))))) (neg.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))))
2.8b
(*.f32 s (neg.f32 (neg.f32 (+.f32 (*.f32 64/3 (pow.f32 u 3)) (+.f32 (*.f32 8 (pow.f32 u 2)) (*.f32 4 u))))))
0.6b
(*.f32 (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))
0.5b
(*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
0.7b
(*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (cbrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
2.4b
(+.f32 (*.f32 8 (*.f32 s (pow.f32 u 2))) (+.f32 (*.f32 64/3 (*.f32 s (pow.f32 u 3))) (+.f32 (*.f32 64 (*.f32 s (pow.f32 u 4))) (*.f32 4 (*.f32 s u)))))
0.6b
(*.f32 (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))))
0.7b
(*.f32 (*.f32 (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))))
Compiler

Compiled 1805 to 1322 computations (26.8% saved)

localize27.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 (*.f32 u -4))
0.3b
(*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
0.3b
(*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))

series236.0ms (4.7%)

Counts
2 → 32
Calls

2 calls:

218.0ms
(*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
18.0ms
(*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))

rewrite15.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary32
12×associate-*l*_binary32
11×associate-*r*_binary32
*-un-lft-identity_binary32
add-cube-cbrt_binary32
Counts
2 → 56
Calls

2 calls:

6.0ms
(*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))
6.0ms
(*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))

simplify76.0ms (1.5%)

Algorithm
egg-herbie
Rules
915×fma-def_binary32
715×times-frac_binary32
366×fma-neg_binary32
252×associate-+l+_binary32
224×associate-*r*_binary32
Counts
88 → 117
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01861744
15411595
217211526
344531526
455621526

prune113.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1494153
Fresh437
Picked011
Done000
Total1538161
Error
0b
Counts
161 → 8
Alt Table
StatusErrorProgram
0.2b
(*.f32 1 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s)))
0.5b
(*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
0.6b
(*.f32 (sqrt.f32 (sqrt.f32 s)) (*.f32 (sqrt.f32 (sqrt.f32 s)) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))))
0.7b
(*.f32 (*.f32 (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))))
2.9b
(fma.f32 s (*.f32 (*.f32 u u) 8) (*.f32 s (+.f32 (*.f32 4 u) (*.f32 64/3 (pow.f32 u 3)))))
0.7b
(*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (cbrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
0.6b
(*.f32 (sqrt.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (*.f32 (sqrt.f32 s) (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 (sqrt.f32 (cbrt.f32 s))))))
0.6b
(*.f32 (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))))
Compiler

Compiled 3145 to 1951 computations (38% saved)

localize28.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 (*.f32 u -4))
0.2b
(*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))

series300.0ms (6%)

Counts
1 → 24
Calls

1 calls:

300.0ms
(*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))

rewrite7.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
10×associate-*r*_binary32
add-sqr-sqrt_binary32
*-un-lft-identity_binary32
add-cube-cbrt_binary32
distribute-lft-neg-in_binary32
Counts
1 → 28
Calls

1 calls:

6.0ms
(*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))

simplify68.0ms (1.3%)

Algorithm
egg-herbie
Rules
482×fma-neg_binary32
351×associate-*l*_binary32
348×fma-def_binary32
260×associate-*r*_binary32
216×distribute-rgt-neg-out_binary32
Counts
52 → 58
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0120900
1324811
2892782
32300757
44445755
55009755

prune77.0ms (1.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh066
Picked011
Done011
Total948102
Error
0b
Counts
102 → 8
Alt Table
StatusErrorProgram
0.2b
(*.f32 1 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s)))
0.5b
(*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
0.6b
(*.f32 (sqrt.f32 (sqrt.f32 s)) (*.f32 (sqrt.f32 (sqrt.f32 s)) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))))
0.7b
(*.f32 (*.f32 (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))))
2.9b
(fma.f32 s (*.f32 (*.f32 u u) 8) (*.f32 s (+.f32 (*.f32 4 u) (*.f32 64/3 (pow.f32 u 3)))))
0.7b
(*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (cbrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
0.6b
(*.f32 (sqrt.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (*.f32 (sqrt.f32 s) (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 (sqrt.f32 (cbrt.f32 s))))))
0.6b
(*.f32 (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))))
Compiler

Compiled 1836 to 1317 computations (28.3% saved)

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 (*.f32 u -4))
0.2b
(*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))
0.5b
(*.f32 (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))))
1.0b
(sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))

series180.0ms (3.6%)

Counts
2 → 20
Calls

2 calls:

145.0ms
(*.f32 (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))))
35.0ms
(sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))

rewrite16.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
54×pow1_binary32
30×sqrt-pow1_binary32
21×pow-prod-down_binary32
11×pow1/2_binary32
10×pow-prod-up_binary32
Counts
2 → 64
Calls

2 calls:

9.0ms
(*.f32 (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))))
2.0ms
(sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))

simplify58.0ms (1.2%)

Algorithm
egg-herbie
Rules
661×associate-/l*_binary32
645×associate-/r*_binary32
460×fma-def_binary32
185×unswap-sqr_binary32
117×associate-*r*_binary32
Counts
84 → 112
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01642084
14161805
215981589
353411589

prune322.0ms (6.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3480348
Fresh055
Picked011
Done022
Total3488356
Error
0b
Counts
356 → 8
Alt Table
StatusErrorProgram
0.2b
(*.f32 1 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s)))
0.5b
(*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
0.6b
(*.f32 (sqrt.f32 (sqrt.f32 s)) (*.f32 (sqrt.f32 (sqrt.f32 s)) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))))
0.7b
(*.f32 (*.f32 (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))))
2.9b
(fma.f32 s (*.f32 (*.f32 u u) 8) (*.f32 s (+.f32 (*.f32 4 u) (*.f32 64/3 (pow.f32 u 3)))))
0.7b
(*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (cbrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
0.6b
(*.f32 (sqrt.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (*.f32 (sqrt.f32 s) (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 (sqrt.f32 (cbrt.f32 s))))))
0.6b
(*.f32 (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))))
Compiler

Compiled 9660 to 7290 computations (24.5% saved)

regimes1.1s (21.1%)

Accuracy

Total 0.2b remaining (91.2%)

Threshold costs 0.2b (91.2%)

Counts
148 → 1
Compiler

Compiled 17905 to 13635 computations (23.8% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary32
+-commutative_binary32
sub-neg_binary32
neg-sub0_binary32
neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11811
22611
33111
43311
53311

end0.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.4s (26.9%)

Algorithm
intervals
Results
588.0ms8000×body128valid
247.0ms8000×pre128true
Compiler

Compiled 184 to 134 computations (27.2% saved)

Profiling

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