math.cube on real
Time bar (total: 8.1s)
| 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 5 computations (28.6% saved)
| 266.0ms | 8 256× | 0 | valid |
ival-mult: 108.0ms (92.7% of total)ival-true: 5.0ms (4.3% of total)ival-assert: 3.0ms (2.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x x) x) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 18.0ms | 512× | 0 | valid |
Compiled 28 to 13 computations (53.6% saved)
ival-mult: 7.0ms (97.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 22× | distribute-lft-neg-in |
| 22× | associate-*r* |
| 16× | cancel-sign-sub-inv |
| 16× | unsub-neg |
| 14× | neg-sub0 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 1 | 23 | 9 |
| 2 | 60 | 7 |
| 3 | 127 | 7 |
| 4 | 148 | 7 |
| 5 | 156 | 7 |
| 0 | 3 | 5 |
| 0 | 5 | 5 |
| 1 | 6 | 3 |
| 2 | 8 | 3 |
| 0 | 8 | 3 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
| Outputs |
|---|
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(negabs x)
Compiled 6 to 3 computations (50% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (*.f64 x x) x) |
Compiled 6 to 3 computations (50% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) x) |
| 6× | lower-*.f32 |
| 4× | lift-*.f64 |
| 2× | lower-*.f64 |
| 2× | lower-pow.f64 |
| 2× | cube-unmult |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 9 |
| 0 | 5 | 9 |
| 1 | 6 | 7 |
| 2 | 8 | 7 |
| 0 | 8 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
| Outputs |
|---|
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
x |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 x x) x) |
| 7.0ms | 256× | 0 | valid |
Compiled 11 to 5 computations (54.5% saved)
ival-mult: 3.0ms (92.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (* (* x x) x) |
| 0.0ms | x | @ | 0 | (* (* x x) x) |
| 0.0ms | x | @ | inf | (* (* x x) x) |
| 0.0ms | x | @ | inf | (* x x) |
| 0.0ms | x | @ | 0 | (* x x) |
| 1× | egg-herbie |
| 6× | lower-*.f64 |
| 6× | lower-*.f32 |
| 4× | lower-pow.f64 |
| 4× | lower-pow.f32 |
| 2× | cube-mult |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 72 |
| 1 | 8 | 72 |
| 2 | 10 | 72 |
| 3 | 12 | 72 |
| 0 | 12 | 72 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
| 2 618× | lower-*.f64 |
| 2 618× | lower-*.f32 |
| 1 200× | unpow-prod-down |
| 1 030× | log-prod |
| 922× | associate-*r* |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 8 |
| 0 | 5 | 6 |
| 1 | 10 | 6 |
| 2 | 24 | 6 |
| 3 | 52 | 6 |
| 4 | 166 | 6 |
| 5 | 571 | 2 |
| 6 | 4059 | 2 |
| 7 | 4117 | 2 |
| 8 | 4354 | 2 |
| 9 | 6881 | 2 |
| 0 | 8590 | 2 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
| Outputs |
|---|
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
x |
Compiled 153 to 6 computations (96.1% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 26 | 2 | 28 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 26 | 3 | 29 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (*.f64 x x) x) |
| ▶ | 51.2% | (*.f64 x x) |
| ▶ | 6.0% | x |
Compiled 12 to 6 computations (50% saved)
| 1× | egg-herbie |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) |
| 2× | lift-*.f64 |
| 2× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2 | 5 |
| 0 | 3 | 5 |
| 0 | 3 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
x |
(*.f64 x x) |
x |
| Outputs |
|---|
x |
(*.f64 x x) |
x |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) |
| 6.0ms | 256× | 0 | valid |
Compiled 7 to 4 computations (42.9% saved)
ival-mult: 2.0ms (104.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (* x x) |
| 0.0ms | x | @ | inf | (* x x) |
| 0.0ms | x | @ | -inf | (* x x) |
| 1× | egg-herbie |
| 2× | lower-*.f64 |
| 2× | lower-pow.f64 |
| 2× | unpow2 |
| 2× | lower-*.f32 |
| 2× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 36 |
| 1 | 4 | 36 |
| 0 | 4 | 36 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
| 2 136× | lower-pow.f64 |
| 2 136× | lower-pow.f32 |
| 1 588× | lower-*.f64 |
| 1 588× | lower-*.f32 |
| 1 412× | prod-exp |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2 | 3 |
| 0 | 3 | 3 |
| 1 | 5 | 3 |
| 2 | 12 | 3 |
| 3 | 28 | 3 |
| 4 | 76 | 3 |
| 5 | 231 | 1 |
| 6 | 1515 | 1 |
| 7 | 1540 | 1 |
| 8 | 1663 | 1 |
| 9 | 2907 | 1 |
| 0 | 8282 | 1 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x x) |
| Outputs |
|---|
#s(literal 1 binary64) |
x |
Compiled 51 to 3 computations (94.1% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 14 | 0 | 14 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 1 | 1 |
| Total | 14 | 3 | 17 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (*.f64 x x) x) |
| ✓ | 51.2% | (*.f64 x x) |
| ✓ | 6.0% | x |
Compiled 22 to 9 computations (59.1% saved)
| Inputs |
|---|
x |
(*.f64 x x) |
(*.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 8 to 4 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 x x) |
2 calls:
| 2.0ms | x |
| 1.0ms | (*.f64 (*.f64 x x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 1 | x |
| 51.2% | 1 | (*.f64 (*.f64 x x) x) |
Compiled 8 to 4 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
2 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 (*.f64 x x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.0% | 1 | x |
| 6.0% | 1 | (*.f64 (*.f64 x x) x) |
Compiled 8 to 4 computations (50% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 9 |
| 1 | 4 | 9 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
| Outputs |
|---|
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
x |
| 2 618× | lower-*.f64 |
| 2 618× | lower-*.f32 |
| 1 200× | unpow-prod-down |
| 1 030× | log-prod |
| 922× | associate-*r* |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 8 |
| 0 | 5 | 6 |
| 1 | 10 | 6 |
| 2 | 24 | 6 |
| 3 | 52 | 6 |
| 4 | 166 | 6 |
| 5 | 571 | 2 |
| 6 | 4059 | 2 |
| 7 | 4117 | 2 |
| 8 | 4354 | 2 |
| 9 | 6881 | 2 |
| 0 | 8590 | 2 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 10 to 3 computations (70% saved)
(negabs x)
Compiled 64 to 30 computations (53.1% saved)
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