Time bar (total: 10.7s)
| 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 |
| 0% | 99.8% | 0.2% | 9 |
| 1.8% | 98% | 0.2% | 10 |
| 7.7% | 92.1% | 0.2% | 11 |
| 10.4% | 89.4% | 0.2% | 12 |
| 14.9% | 84.9% | 0.2% | 13 |
| 16.1% | 83.6% | 0.3% | 14 |
Compiled 19 to 12 computations (36.8% saved)
| 860.0ms | 6919× | body | 128 | valid |
| 170.0ms | 1292× | body | 128 | invalid |
| 149.0ms | 405× | body | 1024 | valid |
| 144.0ms | 507× | body | 512 | valid |
| 67.0ms | 353× | body | 256 | valid |
| 30.0ms | 72× | body | 2048 | valid |
Compiled 56 to 35 computations (37.5% saved)
| 1× | egg-herbie |
| 752× | fma-def_binary64 |
| 693× | div-sub_binary64 |
| 242× | unsub-neg_binary64 |
| 211× | distribute-rgt-in_binary64 |
| 140× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 19 |
| 1 | 21 | 19 |
| 2 | 52 | 17 |
| 3 | 150 | 17 |
| 4 | 527 | 17 |
| 5 | 1709 | 17 |
| 6 | 4397 | 17 |
| 1× | node limit |
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 |
| 23.7b | (+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))) | |
| ▶ | 14.6b | (fma.f64 (-.f64 z t) (/.f64 (-.f64 y x) (-.f64 a t)) x) |
Compiled 100 to 55 computations (45% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 (-.f64 y x) (-.f64 a t)) |
| ✓ | 14.6b | (fma.f64 (-.f64 z t) (/.f64 (-.f64 y x) (-.f64 a t)) x) |
2 calls:
| 53.0ms | (fma.f64 (-.f64 z t) (/.f64 (-.f64 y x) (-.f64 a t)) x) |
| 24.0ms | (/.f64 (-.f64 y x) (-.f64 a t)) |
| 1× | batch-egg-rewrite |
| 264× | fma-neg_binary64 |
| 254× | expm1-udef_binary64 |
| 254× | log1p-udef_binary64 |
| 138× | add-sqr-sqrt_binary64 |
| 133× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 27 |
| 1 | 257 | 27 |
| 2 | 3971 | 27 |
| 1× | node limit |
2 calls:
| 61.0ms | (/.f64 (-.f64 y x) (-.f64 a t)) |
| 61.0ms | (fma.f64 (-.f64 z t) (/.f64 (-.f64 y x) (-.f64 a t)) x) |
| 1× | egg-herbie |
| 507× | cancel-sign-sub-inv_binary64 |
| 458× | sub-neg_binary64 |
| 341× | associate-+r+_binary64 |
| 269× | +-commutative_binary64 |
| 267× | associate-+l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 272 | 5085 |
| 1 | 880 | 5076 |
| 2 | 3586 | 5040 |
| 1× | node limit |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 135 | 9 | 144 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 136 | 10 | 146 |
| Status | Error | Program |
| 15.0b | (fma.f64 (-.f64 z t) (pow.f64 (/.f64 (-.f64 a t) (-.f64 y x)) -1) x) | |
| 31.7b | (+.f64 (+.f64 y (*.f64 (/.f64 y t) a)) (-.f64 (/.f64 x (/.f64 t z)) (+.f64 (*.f64 (/.f64 a t) x) (*.f64 (/.f64 y t) z)))) | |
| 23.7b | (+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))) | |
| 33.9b | (fma.f64 (-.f64 z t) (+.f64 (*.f64 (/.f64 y a) (/.f64 t a)) (-.f64 (/.f64 (-.f64 y x) a) (*.f64 (/.f64 x a) (/.f64 t a)))) x) | |
| 31.3b | (*.f64 (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))) y) | |
| 37.3b | (-.f64 (+.f64 (/.f64 (*.f64 y a) t) (+.f64 y (/.f64 (*.f64 z x) t))) (+.f64 (/.f64 (*.f64 a x) t) (/.f64 (*.f64 y z) t))) | |
| ▶ | 14.6b | (+.f64 (*.f64 (/.f64 t (-.f64 a t)) x) (+.f64 x (-.f64 (*.f64 (/.f64 y (-.f64 a t)) z) (+.f64 (*.f64 (/.f64 y (-.f64 a t)) t) (*.f64 (/.f64 z (-.f64 a t)) x))))) |
| 29.7b | (fma.f64 (-.f64 z t) (fma.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (-.f64 a t)) (neg.f64 (/.f64 x (-.f64 a t)))) x) | |
| 15.5b | (pow.f64 (cbrt.f64 (fma.f64 (-.f64 z t) (/.f64 (-.f64 y x) (-.f64 a t)) x)) 3) | |
| 36.7b | (+.f64 (*.f64 (/.f64 a (*.f64 t t)) (*.f64 x z)) (-.f64 (+.f64 (+.f64 y (*.f64 (/.f64 y t) a)) (+.f64 (/.f64 x (/.f64 t z)) (*.f64 (*.f64 (/.f64 a t) (/.f64 a t)) y))) (+.f64 (+.f64 (*.f64 (/.f64 a t) x) (*.f64 (/.f64 y t) z)) (+.f64 (*.f64 (/.f64 a (*.f64 t t)) (*.f64 y z)) (*.f64 (*.f64 (/.f64 a t) (/.f64 a t)) x))))) |
Compiled 5131 to 1720 computations (66.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 3.7b | (*.f64 (/.f64 t (-.f64 a t)) x) |
| ✓ | 5.1b | (*.f64 (/.f64 z (-.f64 a t)) x) |
| ✓ | 5.2b | (*.f64 (/.f64 y (-.f64 a t)) z) |
| ✓ | 10.0b | (*.f64 (/.f64 y (-.f64 a t)) t) |
4 calls:
| 29.0ms | (*.f64 (/.f64 y (-.f64 a t)) z) |
| 26.0ms | (*.f64 (/.f64 z (-.f64 a t)) x) |
| 17.0ms | (*.f64 (/.f64 y (-.f64 a t)) t) |
| 15.0ms | (*.f64 (/.f64 t (-.f64 a t)) x) |
| 1× | batch-egg-rewrite |
| 413× | prod-diff_binary64 |
| 159× | add-sqr-sqrt_binary64 |
| 149× | associate-*r*_binary64 |
| 148× | log1p-expm1-u_binary64 |
| 148× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 40 |
| 1 | 308 | 40 |
| 2 | 4539 | 40 |
| 1× | node limit |
4 calls:
| 74.0ms | (*.f64 (/.f64 t (-.f64 a t)) x) |
| 74.0ms | (*.f64 (/.f64 z (-.f64 a t)) x) |
| 74.0ms | (*.f64 (/.f64 y (-.f64 a t)) z) |
| 74.0ms | (*.f64 (/.f64 y (-.f64 a t)) t) |
| 1× | egg-herbie |
| 875× | associate-/l*_binary64 |
| 774× | fma-def_binary64 |
| 266× | associate-/r/_binary64 |
| 177× | times-frac_binary64 |
| 139× | distribute-rgt-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 3504 |
| 1 | 540 | 3504 |
| 2 | 1781 | 2925 |
| 1× | node limit |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 177 | 1 | 178 |
| Fresh | 2 | 7 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 180 | 8 | 188 |
| Status | Error | Program |
| 31.7b | (+.f64 (+.f64 y (*.f64 (/.f64 y t) a)) (-.f64 (/.f64 x (/.f64 t z)) (+.f64 (*.f64 (/.f64 a t) x) (*.f64 (/.f64 y t) z)))) | |
| 23.7b | (+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))) | |
| 33.9b | (fma.f64 (-.f64 z t) (+.f64 (*.f64 (/.f64 y a) (/.f64 t a)) (-.f64 (/.f64 (-.f64 y x) a) (*.f64 (/.f64 x a) (/.f64 t a)))) x) | |
| 31.3b | (*.f64 (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))) y) | |
| 37.3b | (-.f64 (+.f64 (/.f64 (*.f64 y a) t) (+.f64 y (/.f64 (*.f64 z x) t))) (+.f64 (/.f64 (*.f64 a x) t) (/.f64 (*.f64 y z) t))) | |
| ▶ | 14.4b | (+.f64 (*.f64 (/.f64 t (-.f64 a t)) x) (+.f64 x (-.f64 (/.f64 y (/.f64 (-.f64 a t) z)) (+.f64 (*.f64 (/.f64 y (-.f64 a t)) t) (*.f64 (/.f64 z (-.f64 a t)) x))))) |
| 15.5b | (pow.f64 (cbrt.f64 (fma.f64 (-.f64 z t) (/.f64 (-.f64 y x) (-.f64 a t)) x)) 3) | |
| 36.7b | (+.f64 (*.f64 (/.f64 a (*.f64 t t)) (*.f64 x z)) (-.f64 (+.f64 (+.f64 y (*.f64 (/.f64 y t) a)) (+.f64 (/.f64 x (/.f64 t z)) (*.f64 (*.f64 (/.f64 a t) (/.f64 a t)) y))) (+.f64 (+.f64 (*.f64 (/.f64 a t) x) (*.f64 (/.f64 y t) z)) (+.f64 (*.f64 (/.f64 a (*.f64 t t)) (*.f64 y z)) (*.f64 (*.f64 (/.f64 a t) (/.f64 a t)) x))))) |
Compiled 7542 to 1688 computations (77.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 3.7b | (*.f64 (/.f64 t (-.f64 a t)) x) | |
| 5.1b | (*.f64 (/.f64 z (-.f64 a t)) x) | |
| ✓ | 6.2b | (/.f64 y (/.f64 (-.f64 a t) z)) |
| 10.0b | (*.f64 (/.f64 y (-.f64 a t)) t) |
1 calls:
| 23.0ms | (/.f64 y (/.f64 (-.f64 a t) z)) |
| 1× | batch-egg-rewrite |
| 568× | prod-diff_binary64 |
| 190× | fma-def_binary64 |
| 180× | expm1-udef_binary64 |
| 180× | log1p-udef_binary64 |
| 120× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 185 | 10 |
| 2 | 2910 | 10 |
| 1× | node limit |
1 calls:
| 45.0ms | (/.f64 y (/.f64 (-.f64 a t) z)) |
| 1× | egg-herbie |
| 449× | times-frac_binary64 |
| 392× | distribute-rgt-neg-in_binary64 |
| 367× | associate-/l*_binary64 |
| 313× | distribute-neg-frac_binary64 |
| 260× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 1026 |
| 1 | 214 | 1026 |
| 2 | 866 | 870 |
| 3 | 3906 | 870 |
| 1× | node limit |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 196 | 0 | 196 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 196 | 8 | 204 |
| Status | Error | Program |
| 31.7b | (+.f64 (+.f64 y (*.f64 (/.f64 y t) a)) (-.f64 (/.f64 x (/.f64 t z)) (+.f64 (*.f64 (/.f64 a t) x) (*.f64 (/.f64 y t) z)))) | |
| 23.7b | (+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))) | |
| 33.9b | (fma.f64 (-.f64 z t) (+.f64 (*.f64 (/.f64 y a) (/.f64 t a)) (-.f64 (/.f64 (-.f64 y x) a) (*.f64 (/.f64 x a) (/.f64 t a)))) x) | |
| 31.3b | (*.f64 (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))) y) | |
| 37.3b | (-.f64 (+.f64 (/.f64 (*.f64 y a) t) (+.f64 y (/.f64 (*.f64 z x) t))) (+.f64 (/.f64 (*.f64 a x) t) (/.f64 (*.f64 y z) t))) | |
| ✓ | 14.4b | (+.f64 (*.f64 (/.f64 t (-.f64 a t)) x) (+.f64 x (-.f64 (/.f64 y (/.f64 (-.f64 a t) z)) (+.f64 (*.f64 (/.f64 y (-.f64 a t)) t) (*.f64 (/.f64 z (-.f64 a t)) x))))) |
| ▶ | 15.5b | (pow.f64 (cbrt.f64 (fma.f64 (-.f64 z t) (/.f64 (-.f64 y x) (-.f64 a t)) x)) 3) |
| 36.7b | (+.f64 (*.f64 (/.f64 a (*.f64 t t)) (*.f64 x z)) (-.f64 (+.f64 (+.f64 y (*.f64 (/.f64 y t) a)) (+.f64 (/.f64 x (/.f64 t z)) (*.f64 (*.f64 (/.f64 a t) (/.f64 a t)) y))) (+.f64 (+.f64 (*.f64 (/.f64 a t) x) (*.f64 (/.f64 y t) z)) (+.f64 (*.f64 (/.f64 a (*.f64 t t)) (*.f64 y z)) (*.f64 (*.f64 (/.f64 a t) (/.f64 a t)) x))))) |
Compiled 8243 to 1821 computations (77.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (/.f64 (-.f64 y x) (-.f64 a t)) | |
| ✓ | 0.5b | (cbrt.f64 (fma.f64 (-.f64 z t) (/.f64 (-.f64 y x) (-.f64 a t)) x)) |
| ✓ | 0.6b | (pow.f64 (cbrt.f64 (fma.f64 (-.f64 z t) (/.f64 (-.f64 y x) (-.f64 a t)) x)) 3) |
| 14.6b | (fma.f64 (-.f64 z t) (/.f64 (-.f64 y x) (-.f64 a t)) x) |
2 calls:
| 2.6s | (pow.f64 (cbrt.f64 (fma.f64 (-.f64 z t) (/.f64 (-.f64 y x) (-.f64 a t)) x)) 3) |
| 463.0ms | (cbrt.f64 (fma.f64 (-.f64 z t) (/.f64 (-.f64 y x) (-.f64 a t)) x)) |
| 1× | batch-egg-rewrite |
| 283× | expm1-udef_binary64 |
| 283× | log1p-udef_binary64 |
| 156× | add-sqr-sqrt_binary64 |
| 153× | log1p-expm1-u_binary64 |
| 153× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 36 |
| 1 | 317 | 36 |
| 2 | 4449 | 36 |
| 1× | node limit |
2 calls:
| 58.0ms | (cbrt.f64 (fma.f64 (-.f64 z t) (/.f64 (-.f64 y x) (-.f64 a t)) x)) |
| 58.0ms | (pow.f64 (cbrt.f64 (fma.f64 (-.f64 z t) (/.f64 (-.f64 y x) (-.f64 a t)) x)) 3) |
| 1× | egg-herbie |
| 678× | fma-def_binary64 |
| 557× | associate-*r*_binary64 |
| 246× | associate-*l/_binary64 |
| 243× | associate-/l*_binary64 |
| 149× | associate-*r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2366 | 42699 |
| 1× | node limit |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 316 | 1 | 317 |
| Fresh | 0 | 6 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 317 | 8 | 325 |
| Status | Error | Program |
| 31.7b | (+.f64 (+.f64 y (*.f64 (/.f64 y t) a)) (-.f64 (/.f64 x (/.f64 t z)) (+.f64 (*.f64 (/.f64 a t) x) (*.f64 (/.f64 y t) z)))) | |
| 23.7b | (+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))) | |
| 33.9b | (fma.f64 (-.f64 z t) (+.f64 (*.f64 (/.f64 y a) (/.f64 t a)) (-.f64 (/.f64 (-.f64 y x) a) (*.f64 (/.f64 x a) (/.f64 t a)))) x) | |
| 31.3b | (*.f64 (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))) y) | |
| 36.7b | (+.f64 (*.f64 (/.f64 a (*.f64 t t)) (*.f64 x z)) (-.f64 (+.f64 (+.f64 y (*.f64 (/.f64 y t) a)) (+.f64 (/.f64 x (/.f64 t z)) (*.f64 (*.f64 (/.f64 a t) (/.f64 a t)) y))) (+.f64 (+.f64 (*.f64 (/.f64 a t) x) (*.f64 (/.f64 y t) z)) (+.f64 (*.f64 (/.f64 a (*.f64 t t)) (*.f64 y z)) (*.f64 (*.f64 (/.f64 a t) (/.f64 a t)) x))))) | |
| 15.6b | (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 z t) (/.f64 (-.f64 y x) (-.f64 a t)) x)) 3)) 3) | |
| 37.3b | (-.f64 (+.f64 (/.f64 (*.f64 y a) t) (+.f64 y (/.f64 (*.f64 z x) t))) (+.f64 (/.f64 (*.f64 a x) t) (/.f64 (*.f64 y z) t))) | |
| ✓ | 14.4b | (+.f64 (*.f64 (/.f64 t (-.f64 a t)) x) (+.f64 x (-.f64 (/.f64 y (/.f64 (-.f64 a t) z)) (+.f64 (*.f64 (/.f64 y (-.f64 a t)) t) (*.f64 (/.f64 z (-.f64 a t)) x))))) |
Compiled 56866 to 26339 computations (53.7% saved)
Total 8.9b remaining (99.3%)
Threshold costs 0b (0%)
Compiled 21204 to 12186 computations (42.5% saved)
Compiled 18 to 11 computations (38.9% saved)
| 1× | egg-herbie |
| 27× | +-commutative_binary64 |
| 23× | *-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 15× | neg-sub0_binary64 |
| 15× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 171 |
| 1 | 66 | 171 |
| 2 | 89 | 171 |
| 3 | 124 | 171 |
| 4 | 158 | 171 |
| 5 | 176 | 171 |
| 6 | 185 | 171 |
| 7 | 187 | 171 |
| 1× | saturated |
Compiled 498 to 213 computations (57.2% saved)
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