Details

Time bar (total: 1.0s)

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)

sample604.0ms (58.8%)

Results
574.0ms8256×body128valid
Compiler

Compiled 20 to 17 computations (15% saved)

simplify5.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1104
284

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 (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x 1/3)

series1.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

1.0ms
(+.f64 x 1/3)

rewrite3.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
4×*-un-lft-identity_binary64
3×add-log-exp_binary64
3×fma-def_binary64
2×add-sqr-sqrt_binary64
2×add-cube-cbrt_binary64
Counts
1 → 17
Calls

1 calls:

2.0ms
(+.f64 x 1/3)

simplify72.0ms (7%)

Algorithm
1×egg-herbie
Rules
482×fma-def_binary64
459×neg-mul-1_binary64
410×neg-sub0_binary64
374×unswap-sqr_binary64
336×distribute-lft-out_binary64
Counts
29 → 28
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030148
169139
2120137
3242136
4533136
51263136
61920136
73477136
84449136
94948136

prune13.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New26228
Fresh000
Picked011
Done000
Total26329
Error
0b
Counts
29 → 3
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 x 1/3)
▶23.5b
(cbrt.f64 (pow.f64 (+.f64 1/3 x) 3))
34.0b
(log.f64 (*.f64 (exp.f64 x) (exp.f64 1/3)))
Compiler

Compiled 232 to 176 computations (24.1% saved)

localize5.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1/3 x)
✓0.4b
(pow.f64 (+.f64 1/3 x) 3)
✓21.6b
(cbrt.f64 (pow.f64 (+.f64 1/3 x) 3))

series4.0ms (0.4%)

Counts
3 → 27
Calls

3 calls:

2.0ms
(pow.f64 (+.f64 1/3 x) 3)
1.0ms
(cbrt.f64 (pow.f64 (+.f64 1/3 x) 3))
1.0ms
(+.f64 1/3 x)

rewrite10.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
20×*-un-lft-identity_binary64
14×cbrt-prod_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
8×cube-prod_binary64
Counts
3 → 73
Calls

3 calls:

3.0ms
(pow.f64 (+.f64 1/3 x) 3)
3.0ms
(cbrt.f64 (pow.f64 (+.f64 1/3 x) 3))
2.0ms
(+.f64 1/3 x)

simplify87.0ms (8.4%)

Algorithm
1×egg-herbie
Rules
561×associate-*l*_binary64
445×associate-*r*_binary64
404×log-prod_binary64
398×exp-prod_binary64
304×distribute-rgt-out_binary64
Counts
100 → 87
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
088825
1188758
2566732
32686732
44821732
55097732

prune50.0ms (4.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New86187
Fresh101
Picked101
Done011
Total88290
Error
0b
Counts
90 → 2
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 x 1/3)
▶32.3b
(cbrt.f64 (fma.f64 1/3 x 1/27))
Compiler

Compiled 968 to 796 computations (17.8% saved)

localize4.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(fma.f64 1/3 x 1/27)
✓0.3b
(cbrt.f64 (fma.f64 1/3 x 1/27))

series12.0ms (1.1%)

Counts
2 → 24
Calls

2 calls:

10.0ms
(cbrt.f64 (fma.f64 1/3 x 1/27))
1.0ms
(fma.f64 1/3 x 1/27)

rewrite2.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
3×*-un-lft-identity_binary64
3×add-sqr-sqrt_binary64
3×cbrt-prod_binary64
3×add-cube-cbrt_binary64
2×add-cbrt-cube_binary64
Counts
2 → 23
Calls

2 calls:

1.0ms
(cbrt.f64 (fma.f64 1/3 x 1/27))
0.0ms
(fma.f64 1/3 x 1/27)

simplify65.0ms (6.4%)

Algorithm
1×egg-herbie
Rules
588×fma-neg_binary64
506×times-frac_binary64
288×cancel-sign-sub-inv_binary64
197×fma-def_binary64
185×distribute-rgt-in_binary64
Counts
47 → 53
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
082776
1199739
2536647
31818518
44716514
54980514

prune27.0ms (2.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New53053
Fresh000
Picked011
Done011
Total53255
Error
0b
Counts
55 → 2
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 x 1/3)
✓32.3b
(cbrt.f64 (fma.f64 1/3 x 1/27))
Compiler

Compiled 772 to 656 computations (15% saved)

regimes22.0ms (2.2%)

Accuracy

Total 0.0b remaining (14.5%)

Threshold costs 0.0b (14.5%)

Counts
8 → 1
Compiler

Compiled 113 to 94 computations (16.8% saved)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
154
254

end32.0ms (3.1%)

Compiler

Compiled 18 to 14 computations (22.2% saved)

Profiling

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