Details

Time bar (total: 1.2s)

analyze4.0ms (0.3%)

Algorithm
1×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)

sample732.0ms (62%)

Results
705.0ms8256×body128valid
Compiler

Compiled 20 to 17 computations (15% saved)

simplify6.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1124
2134
3104

prune4.0ms (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)

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 (0.4%)

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

1 calls:

3.0ms
(-.f64 x 1/3)

simplify64.0ms (5.4%)

Algorithm
1×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

prune50.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New46147
Fresh000
Picked011
Done000
Total46248
Error
0b
Counts
48 → 2
Alt Table
StatusErrorProgram
✓0.0b
(-.f64 x 1/3)
▶20.5b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
Compiler

Compiled 527 to 408 computations (22.6% saved)

localize8.0ms (0.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x 1/3)
✓0.0b
(fma.f64 x (+.f64 x 1/3) 1/9)
✓19.7b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))

series6.0ms (0.5%)

Counts
3 → 36
Calls

3 calls:

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)

rewrite16.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
45×add-sqr-sqrt_binary64
27×*-un-lft-identity_binary64
24×times-frac_binary64
17×add-cube-cbrt_binary64
16×difference-of-squares_binary64
Counts
3 → 79
Calls

3 calls:

9.0ms
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
2.0ms
(+.f64 x 1/3)
0.0ms
(fma.f64 x (+.f64 x 1/3) 1/9)

simplify99.0ms (8.4%)

Algorithm
1×egg-herbie
Rules
705×times-frac_binary64
448×fma-neg_binary64
309×distribute-rgt-in_binary64
306×distribute-lft-in_binary64
226×associate-*l*_binary64
Counts
115 → 100
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01362035
12951911
28041907
327891875
447441873
549851873

prune68.0ms (5.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh000
Picked011
Done011
Total1002102
Error
0b
Counts
102 → 2
Alt Table
StatusErrorProgram
✓0.0b
(-.f64 x 1/3)
✓20.5b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
Compiler

Compiled 2016 to 1568 computations (22.2% saved)

regimes75.0ms (6.3%)

Accuracy

Total 0.0b remaining (72.7%)

Threshold costs 0.0b (72.7%)

Counts
9 → 1
Compiler

Compiled 194 to 162 computations (16.5% saved)

simplify2.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1124
2134
3104

end40.0ms (3.4%)

Compiler

Compiled 25 to 19 computations (24% saved)

Profiling

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