math.cube on real
Time bar (total: 1.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 7 to 4 computations (42.9% saved)
| 355.0ms | 5538× | body | 256 | valid |
| 175.0ms | 2718× | body | 256 | infinite |
| 2× | egg-herbie |
| 3406× | sqr-pow |
| 1566× | cube-prod |
| 1330× | pow-sqr |
| 852× | unpow3 |
| 736× | cube-mult |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 1 | 6 | 7 |
| 2 | 8 | 7 |
| 3 | 13 | 7 |
| 4 | 18 | 7 |
| 5 | 27 | 7 |
| 6 | 48 | 7 |
| 7 | 132 | 7 |
| 8 | 495 | 7 |
| 9 | 1155 | 7 |
| 10 | 1242 | 7 |
| 11 | 1375 | 7 |
| 12 | 1533 | 7 |
| 13 | 1766 | 7 |
| 14 | 2077 | 7 |
| 15 | 2484 | 7 |
| 16 | 2965 | 7 |
| 17 | 3532 | 7 |
| 18 | 4212 | 7 |
| 19 | 4483 | 7 |
| 20 | 4723 | 7 |
| 21 | 4903 | 7 |
| 22 | 5033 | 7 |
| 23 | 5103 | 7 |
| 24 | 6017 | 7 |
| 25 | 6984 | 7 |
| 26 | 7368 | 7 |
| 27 | 7672 | 7 |
| 28 | 7880 | 7 |
| 29 | 7900 | 7 |
| 30 | 7900 | 7 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
| Outputs |
|---|
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 x 3) |
Compiled 7 to 4 computations (42.9% saved)
| 1× | egg-herbie |
| 3406× | sqr-pow |
| 1566× | cube-prod |
| 1330× | pow-sqr |
| 852× | unpow3 |
| 736× | cube-mult |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 1 | 6 | 7 |
| 2 | 8 | 7 |
| 3 | 13 | 7 |
| 4 | 18 | 7 |
| 5 | 27 | 7 |
| 6 | 48 | 7 |
| 7 | 132 | 7 |
| 8 | 495 | 7 |
| 9 | 1155 | 7 |
| 10 | 1242 | 7 |
| 11 | 1375 | 7 |
| 12 | 1533 | 7 |
| 13 | 1766 | 7 |
| 14 | 2077 | 7 |
| 15 | 2484 | 7 |
| 16 | 2965 | 7 |
| 17 | 3532 | 7 |
| 18 | 4212 | 7 |
| 19 | 4483 | 7 |
| 20 | 4723 | 7 |
| 21 | 4903 | 7 |
| 22 | 5033 | 7 |
| 23 | 5103 | 7 |
| 24 | 6017 | 7 |
| 25 | 6984 | 7 |
| 26 | 7368 | 7 |
| 27 | 7672 | 7 |
| 28 | 7880 | 7 |
| 29 | 7900 | 7 |
| 30 | 7900 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
| Outputs |
|---|
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 x 3) |
Compiled 14 to 6 computations (57.1% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 2 | 3 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 3 | 4 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (pow.f64 x 3) |
| ▶ | 99.8% | (*.f64 (*.f64 x x) x) |
| ▶ | 100.0% | (pow.f64 x 3) |
| ▶ | 99.8% | (*.f64 (*.f64 x x) x) |
Compiled 20 to 12 computations (40% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (*.f64 x x) x) |
Compiled 16 to 7 computations (56.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) x) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x x) x) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) x) |
| 1× | batch-egg-rewrite |
| 820× | pow1 |
| 788× | add-sqr-sqrt |
| 770× | *-un-lft-identity |
| 760× | add-exp-log |
| 760× | log1p-expm1-u |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 100 | 7 |
| 2 | 1133 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
| Outputs |
|---|
(+.f64 0 (pow.f64 x 3)) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3))))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) (cbrt.f64 (exp.f64 (pow.f64 x 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))) |
(-.f64 (+.f64 1 (pow.f64 x 3)) 1) |
(pow.f64 x 3) |
(pow.f64 (*.f64 x x) 3/2) |
(pow.f64 (pow.f64 x 3) 1) |
(pow.f64 (cbrt.f64 x) 9) |
(pow.f64 (pow.f64 x 9) 1/3) |
(pow.f64 (pow.f64 x 6) 1/2) |
(pow.f64 (sqrt.f64 x) 6) |
(pow.f64 (pow.f64 x 3/2) 2) |
(sqrt.f64 (pow.f64 x 6)) |
(log.f64 (exp.f64 (pow.f64 x 3))) |
(cbrt.f64 (pow.f64 x 9)) |
(expm1.f64 (log1p.f64 (pow.f64 x 3))) |
(exp.f64 (*.f64 (log.f64 x) 3)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x 9)) 1/3)) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 x)) 2)) |
(log1p.f64 (expm1.f64 (pow.f64 x 3))) |
| 1× | egg-herbie |
| 1268× | unswap-sqr |
| 908× | fma-def |
| 760× | log-prod |
| 472× | exp-prod |
| 444× | fma-neg |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 284 |
| 1 | 114 | 270 |
| 2 | 268 | 246 |
| 3 | 993 | 246 |
| 4 | 4597 | 246 |
| 5 | 7758 | 246 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(+.f64 0 (pow.f64 x 3)) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3))))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) (cbrt.f64 (exp.f64 (pow.f64 x 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))) |
(-.f64 (+.f64 1 (pow.f64 x 3)) 1) |
(pow.f64 x 3) |
(pow.f64 (*.f64 x x) 3/2) |
(pow.f64 (pow.f64 x 3) 1) |
(pow.f64 (cbrt.f64 x) 9) |
(pow.f64 (pow.f64 x 9) 1/3) |
(pow.f64 (pow.f64 x 6) 1/2) |
(pow.f64 (sqrt.f64 x) 6) |
(pow.f64 (pow.f64 x 3/2) 2) |
(sqrt.f64 (pow.f64 x 6)) |
(log.f64 (exp.f64 (pow.f64 x 3))) |
(cbrt.f64 (pow.f64 x 9)) |
(expm1.f64 (log1p.f64 (pow.f64 x 3))) |
(exp.f64 (*.f64 (log.f64 x) 3)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x 9)) 1/3)) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 x)) 2)) |
(log1p.f64 (expm1.f64 (pow.f64 x 3))) |
| Outputs |
|---|
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(+.f64 0 (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3))))) |
(pow.f64 x 3) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) (cbrt.f64 (exp.f64 (pow.f64 x 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))) |
(-.f64 (+.f64 1 (pow.f64 x 3)) 1) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 (*.f64 x x) 3/2) |
(pow.f64 x 3) |
(pow.f64 (pow.f64 x 3) 1) |
(pow.f64 x 3) |
(pow.f64 (cbrt.f64 x) 9) |
(pow.f64 (pow.f64 x 9) 1/3) |
(pow.f64 x 3) |
(pow.f64 (pow.f64 x 6) 1/2) |
(pow.f64 x 3) |
(pow.f64 (sqrt.f64 x) 6) |
(pow.f64 x 3) |
(pow.f64 (pow.f64 x 3/2) 2) |
(pow.f64 x 3) |
(sqrt.f64 (pow.f64 x 6)) |
(pow.f64 x 3) |
(log.f64 (exp.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
(cbrt.f64 (pow.f64 x 9)) |
(pow.f64 x 3) |
(expm1.f64 (log1p.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
(exp.f64 (*.f64 (log.f64 x) 3)) |
(pow.f64 x 3) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x 9)) 1/3)) |
(pow.f64 x 3) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 x)) 2)) |
(pow.f64 x 3) |
(log1p.f64 (expm1.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
Compiled 146 to 118 computations (19.2% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 22 | 0 | 22 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 22 | 2 | 24 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (pow.f64 x 3) |
| ✓ | 99.8% | (*.f64 (*.f64 x x) x) |
Compiled 19 to 11 computations (42.1% saved)
| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
(pow.f64 x 3) |
| Outputs |
|---|
(pow.f64 x 3) |
2 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 (*.f64 x x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (*.f64 (*.f64 x x) x) |
Compiled 17 to 9 computations (47.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
| Outputs |
|---|
(*.f64 (*.f64 x x) x) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (*.f64 (*.f64 x x) x) |
Compiled 14 to 7 computations (50% saved)
| 1× | egg-herbie |
| 2× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 8 | 20 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(pow.f64 x 3) |
(*.f64 (*.f64 x x) x) |
| Outputs |
|---|
(pow.f64 x 3) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
Compiled 10 to 6 computations (40% saved)
| 3406× | sqr-pow |
| 1566× | cube-prod |
| 1330× | pow-sqr |
| 852× | unpow3 |
| 736× | cube-mult |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 1 | 6 | 7 |
| 2 | 8 | 7 |
| 3 | 13 | 7 |
| 4 | 18 | 7 |
| 5 | 27 | 7 |
| 6 | 48 | 7 |
| 7 | 132 | 7 |
| 8 | 495 | 7 |
| 9 | 1155 | 7 |
| 10 | 1242 | 7 |
| 11 | 1375 | 7 |
| 12 | 1533 | 7 |
| 13 | 1766 | 7 |
| 14 | 2077 | 7 |
| 15 | 2484 | 7 |
| 16 | 2965 | 7 |
| 17 | 3532 | 7 |
| 18 | 4212 | 7 |
| 19 | 4483 | 7 |
| 20 | 4723 | 7 |
| 21 | 4903 | 7 |
| 22 | 5033 | 7 |
| 23 | 5103 | 7 |
| 24 | 6017 | 7 |
| 25 | 6984 | 7 |
| 26 | 7368 | 7 |
| 27 | 7672 | 7 |
| 28 | 7880 | 7 |
| 29 | 7900 | 7 |
| 30 | 7900 | 7 |
| 1× | node limit |
Compiled 9 to 5 computations (44.4% saved)
Compiled 38 to 22 computations (42.1% saved)
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