Details

Time bar (total: 1.2s)

analyze4.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample599.0ms (48.1%)

Results
569.0ms8256×body128valid
Compiler

Compiled 20 to 17 computations (15% saved)

simplify6.0ms (0.5%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1124
2134
3104

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(-.f64 x 1/3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x 1/3)

series1.0ms (0.1%)

Counts
1 → 3
Calls

1 calls:

1.0ms
(-.f64 x 1/3)

rewrite4.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64
11×add-sqr-sqrt_binary64
prod-diff_binary64
add-cube-cbrt_binary64
cancel-sign-sub-inv_binary64
Counts
1 → 30
Calls

1 calls:

3.0ms
(-.f64 x 1/3)

simplify64.0ms (5.2%)

Algorithm
egg-herbie
Rules
979×fma-def_binary64
624×unswap-sqr_binary64
419×distribute-rgt-in_binary64
387×*-commutative_binary64
384×distribute-lft-in_binary64
Counts
33 → 47
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065280
1106169
2149169
3334168
4890168
52382168
62527168
73602168
85344168

prune25.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh000
Picked011
Done000
Total45348
Error
0b
Counts
48 → 3
Alt Table
StatusErrorProgram
0.0b
(-.f64 x 1/3)
34.0b
(log.f64 (exp.f64 (+.f64 -1/3 x)))
23.0b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
Compiler

Compiled 539 to 418 computations (22.4% saved)

localize7.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x 1/3)
0.0b
(-.f64 (pow.f64 x 3) 1/27)
0.0b
(fma.f64 x (+.f64 x 1/3) 1/9)
22.2b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))

series11.0ms (0.8%)

Counts
4 → 39
Calls

4 calls:

4.0ms
(-.f64 (pow.f64 x 3) 1/27)
3.0ms
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
2.0ms
(fma.f64 x (+.f64 x 1/3) 1/9)
1.0ms
(+.f64 x 1/3)

rewrite32.0ms (2.6%)

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt_binary64
55×*-un-lft-identity_binary64
43×add-cube-cbrt_binary64
36×prod-diff_binary64
24×times-frac_binary64
Counts
4 → 148
Calls

4 calls:

8.0ms
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
6.0ms
(-.f64 (pow.f64 x 3) 1/27)
2.0ms
(+.f64 x 1/3)
0.0ms
(fma.f64 x (+.f64 x 1/3) 1/9)

simplify130.0ms (10.4%)

Algorithm
egg-herbie
Rules
552×unswap-sqr_binary64
494×fma-neg_binary64
332×fma-def_binary64
327×distribute-rgt-in_binary64
325×distribute-lft-in_binary64
Counts
187 → 197
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01982600
13742451
210612447
336252405
449722405
549992405

prune139.0ms (11.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1970197
Fresh011
Picked011
Done011
Total1973200
Error
0b
Counts
200 → 3
Alt Table
StatusErrorProgram
0.0b
(-.f64 x 1/3)
34.0b
(log.f64 (exp.f64 (+.f64 -1/3 x)))
23.0b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
Compiler

Compiled 4318 to 3416 computations (20.9% saved)

localize4.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (+.f64 -1/3 x))
0.0b
(+.f64 -1/3 x)
0.3b
(log.f64 (exp.f64 (+.f64 -1/3 x)))

series4.0ms (0.3%)

Counts
3 → 36
Calls

3 calls:

2.0ms
(exp.f64 (+.f64 -1/3 x))
1.0ms
(log.f64 (exp.f64 (+.f64 -1/3 x)))
1.0ms
(+.f64 -1/3 x)

rewrite9.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity_binary64
add-log-exp_binary64
exp-prod_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
Counts
3 → 52
Calls

3 calls:

3.0ms
(log.f64 (exp.f64 (+.f64 -1/3 x)))
3.0ms
(exp.f64 (+.f64 -1/3 x))
2.0ms
(+.f64 -1/3 x)

simplify86.0ms (6.9%)

Algorithm
egg-herbie
Rules
600×fma-def_binary64
442×fma-neg_binary64
370×associate-+l+_binary64
336×associate-*l*_binary64
308×associate-+r+_binary64
Counts
88 → 67
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
078581
1146543
2323537
3851530
42276528
54476528
64972526
74908526

prune32.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New67067
Fresh000
Picked011
Done022
Total67370
Error
0b
Counts
70 → 3
Alt Table
StatusErrorProgram
0.0b
(-.f64 x 1/3)
34.0b
(log.f64 (exp.f64 (+.f64 -1/3 x)))
23.0b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
Compiler

Compiled 658 to 538 computations (18.2% saved)

regimes40.0ms (3.2%)

Accuracy

Total 0.0b remaining (71.8%)

Threshold costs 0.0b (71.8%)

Counts
14 → 1
Compiler

Compiled 232 to 191 computations (17.7% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
174
284
374

end44.0ms (3.5%)

Compiler

Compiled 31 to 24 computations (22.6% saved)

Profiling

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