Details

Time bar (total: 964.0ms)

analyze3.0ms (0.3%)

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

Compiled 7 to 6 computations (14.3% saved)

sample28.0ms (2.9%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify6.0ms (0.7%)

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

prune3.0ms (0.3%)

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)

localize6.0ms (0.6%)

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 (0.4%)

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)

simplify69.0ms (7.1%)

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

prune26.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh000
Picked011
Done000
Total45348
Error
0b
Counts
48 → 3
Alt Table
StatusErrorProgram
19.6b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
0.0b
(-.f64 x 1/3)
31.9b
(log.f64 (exp.f64 (+.f64 -1/3 x)))
Compiler

Compiled 539 to 418 computations (22.4% saved)

localize7.0ms (0.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (pow.f64 x 3) 1/27)
0.0b
(fma.f64 x (+.f64 x 1/3) 1/9)
19.0b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))

series7.0ms (0.8%)

Counts
3 → 27
Calls

3 calls:

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

rewrite24.0ms (2.5%)

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt_binary64
51×*-un-lft-identity_binary64
41×add-cube-cbrt_binary64
36×prod-diff_binary64
24×times-frac_binary64
Counts
3 → 131
Calls

3 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)
0.0ms
(fma.f64 x (+.f64 x 1/3) 1/9)

simplify113.0ms (11.7%)

Algorithm
egg-herbie
Rules
534×unswap-sqr_binary64
403×fma-neg_binary64
337×exp-prod_binary64
299×associate-/l*_binary64
280×distribute-rgt-in_binary64
Counts
158 → 176
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01792452
13322312
29462310
332422268
445172267
549062267

prune132.0ms (13.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1760176
Fresh011
Picked011
Done011
Total1763179
Error
0b
Counts
179 → 3
Alt Table
StatusErrorProgram
19.6b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
0.0b
(-.f64 x 1/3)
31.9b
(log.f64 (exp.f64 (+.f64 -1/3 x)))
Compiler

Compiled 3974 to 3161 computations (20.5% saved)

localize4.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 -1/3 x)
0.5b
(log.f64 (exp.f64 (+.f64 -1/3 x)))

series3.0ms (0.3%)

Counts
2 → 24
Calls

2 calls:

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

rewrite6.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
log-pow_binary64
add-log-exp_binary64
Counts
2 → 36
Calls

2 calls:

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

simplify118.0ms (12.2%)

Algorithm
egg-herbie
Rules
681×fma-neg_binary64
489×fma-def_binary64
458×unswap-sqr_binary64
327×distribute-lft-out_binary64
293×distribute-rgt-in_binary64
Counts
60 → 43
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058343
196316
2158316
3302316
4618316
51445316
62158316
73469316
84995316
94985316
104911316

prune21.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New43043
Fresh000
Picked011
Done022
Total43346
Error
0b
Counts
46 → 3
Alt Table
StatusErrorProgram
19.6b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
0.0b
(-.f64 x 1/3)
31.9b
(log.f64 (exp.f64 (+.f64 -1/3 x)))
Compiler

Compiled 417 to 339 computations (18.7% saved)

regimes20.0ms (2.1%)

Accuracy

Total 0.0b remaining (78.8%)

Threshold costs 0.0b (78.8%)

Counts
11 → 1
Compiler

Compiled 178 to 144 computations (19.1% saved)

simplify2.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1124
2134
3104

end0.0ms (0%)

Compiler

Compiled 4 to 3 computations (25% saved)

sample361.0ms (37.4%)

Algorithm
intervals
Results
183.0ms8000×body128valid
Compiler

Compiled 35 to 28 computations (20% saved)

Profiling

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