Details

Time bar (total: 1.3s)

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)

sample691.0ms (51.5%)

Results
660.0ms8256×body128valid
Compiler

Compiled 20 to 17 computations (15% saved)

simplify7.0ms (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

prune3.0ms (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)

series2.0ms (0.2%)

Counts
1 → 3
Calls

1 calls:

2.0ms
(-.f64 x 1/3)

rewrite5.0ms (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)

simplify67.0ms (5%)

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%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh000
Picked011
Done000
Total45348
Error
0b
Counts
48 → 3
Alt Table
StatusErrorProgram
15.3b
(/.f64 (-.f64 (*.f64 x x) (*.f64 1/3 1/3)) (+.f64 x 1/3))
0.0b
(-.f64 x 1/3)
20.3b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
Compiler

Compiled 551 to 426 computations (22.7% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 x x) (*.f64 1/3 1/3))
0.0b
(+.f64 x 1/3)
14.2b
(/.f64 (-.f64 (*.f64 x x) (*.f64 1/3 1/3)) (+.f64 x 1/3))

series8.0ms (0.6%)

Counts
3 → 36
Calls

3 calls:

4.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 1/3 1/3)) (+.f64 x 1/3))
2.0ms
(-.f64 (*.f64 x x) (*.f64 1/3 1/3))
1.0ms
(+.f64 x 1/3)

rewrite17.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity_binary64
16×times-frac_binary64
14×add-sqr-sqrt_binary64
14×add-cube-cbrt_binary64
add-log-exp_binary64
Counts
3 → 77
Calls

3 calls:

6.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 1/3 1/3)) (+.f64 x 1/3))
3.0ms
(-.f64 (*.f64 x x) (*.f64 1/3 1/3))
3.0ms
(+.f64 x 1/3)

simplify59.0ms (4.4%)

Algorithm
egg-herbie
Rules
825×fma-def_binary64
620×associate-/l*_binary64
594×times-frac_binary64
350×distribute-rgt-in_binary64
335×distribute-lft-in_binary64
Counts
113 → 128
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01141201
12571117
26341115
316401110
449951110

prune80.0ms (6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh011
Picked011
Done011
Total1283131
Error
0b
Counts
131 → 3
Alt Table
StatusErrorProgram
15.3b
(/.f64 (-.f64 (*.f64 x x) (*.f64 1/3 1/3)) (+.f64 x 1/3))
0.0b
(-.f64 x 1/3)
20.3b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
Compiler

Compiled 2211 to 1527 computations (30.9% saved)

localize8.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x (+.f64 x 1/3) 1/9)
0.0b
(+.f64 x 1/3)
19.6b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))

series7.0ms (0.5%)

Counts
2 → 24
Calls

2 calls:

4.0ms
(/.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)

rewrite15.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt_binary64
24×times-frac_binary64
23×*-un-lft-identity_binary64
16×difference-of-squares_binary64
15×add-cube-cbrt_binary64
Counts
2 → 62
Calls

2 calls:

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

simplify94.0ms (7%)

Algorithm
egg-herbie
Rules
705×times-frac_binary64
393×fma-neg_binary64
336×associate-/l/_binary64
274×distribute-rgt-in_binary64
272×distribute-lft-in_binary64
Counts
86 → 79
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01161887
12531772
27261770
325921738
447811736
549801736

prune117.0ms (8.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1000100
Fresh000
Picked011
Done022
Total1003103
Error
0b
Counts
103 → 3
Alt Table
StatusErrorProgram
15.3b
(/.f64 (-.f64 (*.f64 x x) (*.f64 1/3 1/3)) (+.f64 x 1/3))
0.0b
(-.f64 x 1/3)
20.3b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
Compiler

Compiled 2027 to 1577 computations (22.2% saved)

regimes71.0ms (5.3%)

Accuracy

Total 0.0b remaining (79.7%)

Threshold costs 0.0b (79.7%)

Counts
16 → 1
Compiler

Compiled 330 to 257 computations (22.1% saved)

simplify2.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
044
174
284
374

end52.0ms (3.8%)

Compiler

Compiled 37 to 28 computations (24.3% saved)

Profiling

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