Time bar (total: 11.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 0% | 99.8% | 0.2% | 8 |
| 2.3% | 97.4% | 0.2% | 9 |
| 3.5% | 96.2% | 0.2% | 10 |
| 9.5% | 90.2% | 0.2% | 11 |
| 14.3% | 85.4% | 0.2% | 12 |
| 22.4% | 77.4% | 0.2% | 13 |
| 29.7% | 70% | 0.2% | 14 |
Compiled 17 to 11 computations (35.3% saved)
| 1.1s | 8253× | body | 128 | valid |
| 96.0ms | 703× | body | 128 | invalid |
| 2.0ms | 1× | body | 1024 | valid |
| 0.0ms | 1× | body | 512 | valid |
| 0.0ms | 1× | body | 256 | valid |
Compiled 50 to 32 computations (36% saved)
| 1× | egg-herbie |
| 1405× | fma-def_binary64 |
| 906× | div-sub_binary64 |
| 613× | distribute-rgt-in_binary64 |
| 583× | fma-neg_binary64 |
| 525× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 16 |
| 1 | 22 | 14 |
| 2 | 43 | 14 |
| 3 | 82 | 14 |
| 4 | 164 | 14 |
| 5 | 304 | 14 |
| 6 | 655 | 14 |
| 7 | 1590 | 14 |
| 8 | 3046 | 14 |
| 9 | 2781 | 14 |
| 10 | 2954 | 14 |
| 11 | 3028 | 14 |
| 12 | 3116 | 14 |
| 13 | 4289 | 14 |
| 14 | 5187 | 14 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
| 2.5b | (+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))) | |
| ▶ | 2.5b | (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x) |
Compiled 88 to 49 computations (44.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 (-.f64 z t) (-.f64 z a)) |
| ✓ | 2.3b | (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x) |
2 calls:
| 37.0ms | (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x) |
| 19.0ms | (/.f64 (-.f64 z t) (-.f64 z a)) |
| 1× | rewrite-expression-head |
| 38× | *-un-lft-identity_binary64 |
| 38× | add-sqr-sqrt_binary64 |
| 25× | times-frac_binary64 |
| 14× | add-cube-cbrt_binary64 |
| 12× | distribute-lft-out--_binary64 |
2 calls:
| 7.0ms | (/.f64 (-.f64 z t) (-.f64 z a)) |
| 0.0ms | (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x) |
| 1× | egg-herbie |
| 878× | fma-def_binary64 |
| 685× | times-frac_binary64 |
| 505× | cancel-sign-sub-inv_binary64 |
| 356× | sub-neg_binary64 |
| 161× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 271 | 4135 |
| 1 | 699 | 4064 |
| 2 | 2396 | 3758 |
| 3 | 5075 | 3758 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 129 | 6 | 135 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 130 | 7 | 137 |
| Status | Error | Program |
| ▶ | 2.5b | (fma.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))) x) |
| 28.2b | (fma.f64 (/.f64 y a) t x) | |
| 35.9b | (fma.f64 y (/.f64 (/.f64 (-.f64 z t) (sqrt.f64 (-.f64 z a))) (sqrt.f64 (-.f64 z a))) x) | |
| 3.0b | (fma.f64 y (*.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 z a))) x) | |
| 11.3b | (-.f64 (+.f64 (/.f64 (*.f64 y z) (-.f64 z a)) x) (/.f64 (*.f64 y t) (-.f64 z a))) | |
| ✓ | 2.5b | (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x) |
| 3.7b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x))) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x))) |
Compiled 3466 to 1135 computations (67.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 (-.f64 z a) (-.f64 z t)) |
| ✓ | 0.2b | (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))) |
| ✓ | 2.3b | (fma.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))) x) |
3 calls:
| 36.0ms | (fma.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))) x) |
| 19.0ms | (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))) |
| 17.0ms | (/.f64 (-.f64 z a) (-.f64 z t)) |
| 1× | rewrite-expression-head |
| 218× | times-frac_binary64 |
| 195× | *-un-lft-identity_binary64 |
| 195× | add-sqr-sqrt_binary64 |
| 91× | add-cube-cbrt_binary64 |
| 52× | distribute-lft-out--_binary64 |
3 calls:
| 9.0ms | (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))) |
| 7.0ms | (/.f64 (-.f64 z a) (-.f64 z t)) |
| 0.0ms | (fma.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))) x) |
| 1× | egg-herbie |
| 709× | cancel-sign-sub-inv_binary64 |
| 528× | sub-neg_binary64 |
| 232× | fma-neg_binary64 |
| 224× | associate--l+_binary64 |
| 221× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 403 | 8765 |
| 1 | 1010 | 8314 |
| 2 | 3667 | 8134 |
| 3 | 5378 | 8134 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 336 | 0 | 336 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 336 | 7 | 343 |
| Status | Error | Program |
| ✓ | 2.5b | (fma.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))) x) |
| 28.2b | (fma.f64 (/.f64 y a) t x) | |
| 35.9b | (fma.f64 y (/.f64 (/.f64 (-.f64 z t) (sqrt.f64 (-.f64 z a))) (sqrt.f64 (-.f64 z a))) x) | |
| ▶ | 3.0b | (fma.f64 y (*.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 z a))) x) |
| 11.3b | (-.f64 (+.f64 (/.f64 (*.f64 y z) (-.f64 z a)) x) (/.f64 (*.f64 y t) (-.f64 z a))) | |
| ✓ | 2.5b | (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x) |
| 3.7b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x))) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x))) |
Compiled 8686 to 2795 computations (67.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 z a))) |
| ✓ | 0.5b | (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) |
| ✓ | 0.6b | (cbrt.f64 (-.f64 z t)) |
| ✓ | 2.3b | (fma.f64 y (*.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 z a))) x) |
4 calls:
| 43.0ms | (fma.f64 y (*.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 z a))) x) |
| 37.0ms | (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) |
| 34.0ms | (cbrt.f64 (-.f64 z t)) |
| 22.0ms | (*.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 z a))) |
| 1× | rewrite-expression-head |
| 81× | add-sqr-sqrt_binary64 |
| 74× | *-un-lft-identity_binary64 |
| 59× | cbrt-prod_binary64 |
| 54× | associate-*r*_binary64 |
| 42× | times-frac_binary64 |
4 calls:
| 41.0ms | (*.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 z a))) |
| 9.0ms | (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) |
| 4.0ms | (cbrt.f64 (-.f64 z t)) |
| 0.0ms | (fma.f64 y (*.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 z a))) x) |
| 1× | egg-herbie |
| 517× | associate-*l*_binary64 |
| 459× | associate-*r*_binary64 |
| 279× | fma-neg_binary64 |
| 237× | associate-/l*_binary64 |
| 179× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 549 | 8705 |
| 1 | 1445 | 8358 |
| 2 | 4973 | 8358 |
| 3 | 5177 | 8358 |
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 439 | 0 | 439 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 439 | 7 | 446 |
| Status | Error | Program |
| ✓ | 2.5b | (fma.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))) x) |
| 28.2b | (fma.f64 (/.f64 y a) t x) | |
| 35.9b | (fma.f64 y (/.f64 (/.f64 (-.f64 z t) (sqrt.f64 (-.f64 z a))) (sqrt.f64 (-.f64 z a))) x) | |
| ✓ | 3.0b | (fma.f64 y (*.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 z a))) x) |
| 11.3b | (-.f64 (+.f64 (/.f64 (*.f64 y z) (-.f64 z a)) x) (/.f64 (*.f64 y t) (-.f64 z a))) | |
| ✓ | 2.5b | (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x) |
| ▶ | 3.7b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x))) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x))) |
Compiled 14972 to 4914 computations (67.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x))) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x))) |
| ✓ | 0.5b | (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x))) |
| ✓ | 0.6b | (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)) |
| 2.3b | (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x) |
3 calls:
| 2.8s | (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x))) |
| 544.0ms | (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)) |
| 41.0ms | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x))) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x))) |
| 1× | rewrite-expression-head |
| 29× | pow1_binary64 |
| 24× | add-sqr-sqrt_binary64 |
| 23× | cbrt-prod_binary64 |
| 16× | pow1/3_binary64 |
| 14× | *-un-lft-identity_binary64 |
3 calls:
| 7.0ms | (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x))) |
| 6.0ms | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x))) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x))) |
| 1.0ms | (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)) |
| 1× | egg-herbie |
| 820× | fma-def_binary64 |
| 259× | times-frac_binary64 |
| 101× | sub-neg_binary64 |
| 48× | unpow1/3_binary64 |
| 14× | unpow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3470 | 53705 |
| 1 | 5133 | 53705 |
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 687 | 0 | 687 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 687 | 7 | 694 |
| Status | Error | Program |
| ✓ | 2.5b | (fma.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))) x) |
| 28.2b | (fma.f64 (/.f64 y a) t x) | |
| 35.9b | (fma.f64 y (/.f64 (/.f64 (-.f64 z t) (sqrt.f64 (-.f64 z a))) (sqrt.f64 (-.f64 z a))) x) | |
| ✓ | 3.0b | (fma.f64 y (*.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 z a))) x) |
| 11.3b | (-.f64 (+.f64 (/.f64 (*.f64 y z) (-.f64 z a)) x) (/.f64 (*.f64 y t) (-.f64 z a))) | |
| ✓ | 2.5b | (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x) |
| ✓ | 3.7b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x))) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x))) |
Compiled 117900 to 54984 computations (53.4% saved)
Total 0.4b remaining (96.2%)
Threshold costs 0.4b (96.2%)
Compiled 16914 to 8937 computations (47.2% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 1 | 1.0432036028489287e-17 | 6.906541086949804e-15 | 2.717196829604943e-16 |
| 2 | -1.8908893023249065e-84 | -5.153633091953421e-85 | -7.515725844238207e-85 |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
| 10× | +-commutative_binary64 |
| 8× | *-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 5× | neg-sub0_binary64 |
| 5× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 69 |
| 1 | 35 | 69 |
| 2 | 48 | 69 |
| 3 | 61 | 69 |
| 4 | 68 | 69 |
| 5 | 71 | 69 |
| 6 | 72 | 69 |
| 7 | 72 | 69 |
Compiled 256 to 118 computations (53.9% saved)
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