Time bar (total: 8.3s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.7% | 0.3% | 0 |
| 0% | 99.7% | 0.3% | 1 |
| 0% | 99.7% | 0.3% | 2 |
| 0% | 99.7% | 0.3% | 3 |
| 0% | 99.7% | 0.3% | 4 |
| 0% | 99.7% | 0.3% | 5 |
| 0% | 99.7% | 0.3% | 6 |
| 0% | 99.7% | 0.3% | 7 |
| 0% | 99.7% | 0.3% | 8 |
| 0% | 99.7% | 0.3% | 9 |
| 0% | 99.7% | 0.3% | 10 |
| 0% | 99.7% | 0.3% | 11 |
| 0% | 99.7% | 0.3% | 12 |
| 1.6% | 98.1% | 0.3% | 13 |
| 2.3% | 97.4% | 0.3% | 14 |
Compiled 24 to 18 computations (25% saved)
(sort y z t)
(sort a b)
| 1.2s | 8256× | body | 128 | valid |
| 440.0ms | 3001× | body | 128 | invalid |
Compiled 71 to 53 computations (25.4% saved)
| 1× | egg-herbie |
| 712× | fma-neg_binary64 |
| 641× | fma-def_binary64 |
| 213× | cancel-sign-sub-inv_binary64 |
| 172× | distribute-rgt-neg-in_binary64 |
| 157× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 25 |
| 1 | 39 | 23 |
| 2 | 115 | 21 |
| 3 | 308 | 21 |
| 4 | 552 | 21 |
| 5 | 902 | 21 |
| 6 | 1201 | 21 |
| 7 | 1433 | 21 |
| 8 | 1672 | 21 |
| 9 | 1787 | 21 |
| 10 | 1791 | 21 |
| 11 | 1791 | 21 |
| 12 | 1791 | 21 |
| 13 | 1674 | 21 |
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 |
| ▶ | 1.6b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) |
| 3.4b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
Compiled 126 to 90 computations (28.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) |
| ✓ | 0.2b | (*.f64 (*.f64 y 9) z) |
| ✓ | 0.2b | (*.f64 (*.f64 a 27) b) |
| ✓ | 5.2b | (*.f64 (*.f64 (*.f64 y 9) z) t) |
4 calls:
| 31.0ms | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) |
| 10.0ms | (*.f64 (*.f64 (*.f64 y 9) z) t) |
| 9.0ms | (*.f64 (*.f64 a 27) b) |
| 4.0ms | (*.f64 (*.f64 y 9) z) |
| 1× | rewrite-expression-head |
| 23× | add-cbrt-cube_binary64 |
| 23× | add-exp-log_binary64 |
| 23× | pow1_binary64 |
| 12× | cbrt-unprod_binary64 |
| 12× | prod-exp_binary64 |
4 calls:
| 12.0ms | (*.f64 (*.f64 (*.f64 y 9) z) t) |
| 6.0ms | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) |
| 4.0ms | (*.f64 (*.f64 y 9) z) |
| 3.0ms | (*.f64 (*.f64 a 27) b) |
| 1× | egg-herbie |
| 804× | fma-neg_binary64 |
| 586× | fma-def_binary64 |
| 359× | associate-*l*_binary64 |
| 268× | associate-*r*_binary64 |
| 268× | exp-prod_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 3457 |
| 1 | 415 | 3135 |
| 2 | 1736 | 3112 |
| 3 | 4147 | 3112 |
| 4 | 4957 | 3112 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 130 | 8 | 138 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 132 | 8 | 140 |
| Status | Error | Program |
| 1.6b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 27 (*.f64 a b))) | |
| 9.6b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 (*.f64 y 9) z) (sqrt.f64 t)) (sqrt.f64 t))) (*.f64 (*.f64 a 27) b)) | |
| 1.8b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 (*.f64 y 9) z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))) (*.f64 (*.f64 a 27) b)) | |
| 3.4b | (+.f64 (*.f64 x 2) (fma.f64 y (*.f64 (*.f64 t z) -9) (*.f64 27 (*.f64 a b)))) | |
| 3.4b | (-.f64 (*.f64 x 2) (fma.f64 a (*.f64 b -27) (*.f64 9 (*.f64 y (*.f64 t z))))) | |
| 30.7b | (/.f64 (fma.f64 (fma.f64 (*.f64 y (*.f64 t z)) -9 (+.f64 x x)) (fma.f64 (*.f64 y (*.f64 t z)) -9 (+.f64 x x)) (*.f64 (*.f64 (*.f64 a b) (*.f64 a b)) -729)) (fma.f64 a (*.f64 b -27) (fma.f64 (*.f64 y (*.f64 t z)) -9 (+.f64 x x)))) | |
| ▶ | 1.5b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y (*.f64 9 z)) t)) (*.f64 (*.f64 a 27) b)) |
| 1.9b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) (cbrt.f64 (*.f64 (*.f64 a 27) b)))) |
Compiled 3595 to 2204 computations (38.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y (*.f64 9 z)) t)) (*.f64 (*.f64 a 27) b)) |
| ✓ | 0.2b | (*.f64 y (*.f64 9 z)) |
| 0.2b | (*.f64 (*.f64 a 27) b) | |
| ✓ | 5.2b | (*.f64 (*.f64 y (*.f64 9 z)) t) |
3 calls:
| 29.0ms | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y (*.f64 9 z)) t)) (*.f64 (*.f64 a 27) b)) |
| 9.0ms | (*.f64 (*.f64 y (*.f64 9 z)) t) |
| 4.0ms | (*.f64 y (*.f64 9 z)) |
| 1× | rewrite-expression-head |
| 17× | add-cbrt-cube_binary64 |
| 17× | add-exp-log_binary64 |
| 17× | pow1_binary64 |
| 9× | cbrt-unprod_binary64 |
| 9× | prod-exp_binary64 |
3 calls:
| 5.0ms | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y (*.f64 9 z)) t)) (*.f64 (*.f64 a 27) b)) |
| 5.0ms | (*.f64 (*.f64 y (*.f64 9 z)) t) |
| 3.0ms | (*.f64 y (*.f64 9 z)) |
| 1× | egg-herbie |
| 751× | fma-neg_binary64 |
| 540× | fma-def_binary64 |
| 259× | associate-*l*_binary64 |
| 254× | exp-prod_binary64 |
| 238× | log-prod_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 3145 |
| 1 | 341 | 2792 |
| 2 | 1413 | 2769 |
| 3 | 3532 | 2769 |
| 4 | 4922 | 2769 |
| 5 | 5010 | 2769 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 138 | 1 | 139 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 139 | 8 | 147 |
| Status | Error | Program |
| 3.4b | (fma.f64 y (*.f64 t (*.f64 z -9)) (fma.f64 27 (*.f64 a b) (+.f64 x x))) | |
| 3.4b | (-.f64 (*.f64 x 2) (fma.f64 a (*.f64 b -27) (*.f64 9 (*.f64 y (*.f64 t z))))) | |
| ▶ | 1.6b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 27 (*.f64 a b))) |
| 9.6b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 (*.f64 y 9) z) (sqrt.f64 t)) (sqrt.f64 t))) (*.f64 (*.f64 a 27) b)) | |
| 3.4b | (+.f64 (*.f64 x 2) (fma.f64 y (*.f64 (*.f64 t z) -9) (*.f64 27 (*.f64 a b)))) | |
| 30.7b | (/.f64 (fma.f64 (fma.f64 (*.f64 y (*.f64 t z)) -9 (+.f64 x x)) (fma.f64 (*.f64 y (*.f64 t z)) -9 (+.f64 x x)) (*.f64 (*.f64 (*.f64 a b) (*.f64 a b)) -729)) (fma.f64 a (*.f64 b -27) (fma.f64 (*.f64 y (*.f64 t z)) -9 (+.f64 x x)))) | |
| ✓ | 1.5b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y (*.f64 9 z)) t)) (*.f64 (*.f64 a 27) b)) |
| 1.9b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) (cbrt.f64 (*.f64 (*.f64 a 27) b)))) |
Compiled 3559 to 2189 computations (38.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 27 (*.f64 a b))) |
| 0.2b | (*.f64 (*.f64 y 9) z) | |
| ✓ | 0.3b | (*.f64 27 (*.f64 a b)) |
| 5.2b | (*.f64 (*.f64 (*.f64 y 9) z) t) |
2 calls:
| 30.0ms | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 27 (*.f64 a b))) |
| 4.0ms | (*.f64 27 (*.f64 a b)) |
| 1× | rewrite-expression-head |
| 7× | add-cbrt-cube_binary64 |
| 7× | add-log-exp_binary64 |
| 7× | add-exp-log_binary64 |
| 7× | pow1_binary64 |
| 4× | *-un-lft-identity_binary64 |
2 calls:
| 6.0ms | (*.f64 27 (*.f64 a b)) |
| 5.0ms | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 27 (*.f64 a b))) |
| 1× | egg-herbie |
| 759× | fma-neg_binary64 |
| 701× | associate-*r*_binary64 |
| 456× | fma-def_binary64 |
| 295× | exp-prod_binary64 |
| 204× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 2183 |
| 1 | 252 | 1974 |
| 2 | 813 | 1960 |
| 3 | 3147 | 1960 |
| 4 | 4616 | 1960 |
| 5 | 4862 | 1960 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 129 | 0 | 129 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 129 | 8 | 137 |
| Status | Error | Program |
| 3.4b | (fma.f64 y (*.f64 t (*.f64 z -9)) (fma.f64 27 (*.f64 a b) (+.f64 x x))) | |
| 3.4b | (-.f64 (*.f64 x 2) (fma.f64 a (*.f64 b -27) (*.f64 9 (*.f64 y (*.f64 t z))))) | |
| ✓ | 1.6b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 27 (*.f64 a b))) |
| 9.6b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 (*.f64 y 9) z) (sqrt.f64 t)) (sqrt.f64 t))) (*.f64 (*.f64 a 27) b)) | |
| 3.4b | (+.f64 (*.f64 x 2) (fma.f64 y (*.f64 (*.f64 t z) -9) (*.f64 27 (*.f64 a b)))) | |
| 30.7b | (/.f64 (fma.f64 (fma.f64 (*.f64 y (*.f64 t z)) -9 (+.f64 x x)) (fma.f64 (*.f64 y (*.f64 t z)) -9 (+.f64 x x)) (*.f64 (*.f64 (*.f64 a b) (*.f64 a b)) -729)) (fma.f64 a (*.f64 b -27) (fma.f64 (*.f64 y (*.f64 t z)) -9 (+.f64 x x)))) | |
| ✓ | 1.5b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y (*.f64 9 z)) t)) (*.f64 (*.f64 a 27) b)) |
| ▶ | 1.9b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) (cbrt.f64 (*.f64 (*.f64 a 27) b)))) |
Compiled 3324 to 1914 computations (42.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) (cbrt.f64 (*.f64 (*.f64 a 27) b))) |
| ✓ | 0.5b | (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) |
| 5.2b | (*.f64 (*.f64 (*.f64 y 9) z) t) | |
| ✓ | 6.9b | (cbrt.f64 (*.f64 (*.f64 a 27) b)) |
3 calls:
| 524.0ms | (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) |
| 361.0ms | (cbrt.f64 (*.f64 (*.f64 a 27) b)) |
| 22.0ms | (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) (cbrt.f64 (*.f64 (*.f64 a 27) b))) |
| 1× | rewrite-expression-head |
| 29× | pow1_binary64 |
| 16× | pow1/3_binary64 |
| 11× | pow-prod-up_binary64 |
| 11× | add-sqr-sqrt_binary64 |
| 10× | add-exp-log_binary64 |
3 calls:
| 6.0ms | (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) (cbrt.f64 (*.f64 (*.f64 a 27) b))) |
| 4.0ms | (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) |
| 2.0ms | (cbrt.f64 (*.f64 (*.f64 a 27) b)) |
| 1× | egg-herbie |
| 750× | fma-neg_binary64 |
| 365× | exp-sum_binary64 |
| 307× | exp-prod_binary64 |
| 285× | unswap-sqr_binary64 |
| 266× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 2322 |
| 1 | 280 | 2085 |
| 2 | 693 | 1804 |
| 3 | 1447 | 1548 |
| 4 | 3571 | 1430 |
| 5 | 4938 | 1430 |
| 6 | 4950 | 1430 |
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 208 | 0 | 208 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 208 | 8 | 216 |
| Status | Error | Program |
| 3.4b | (fma.f64 y (*.f64 t (*.f64 z -9)) (fma.f64 27 (*.f64 a b) (+.f64 x x))) | |
| 3.4b | (-.f64 (*.f64 x 2) (fma.f64 a (*.f64 b -27) (*.f64 9 (*.f64 y (*.f64 t z))))) | |
| ✓ | 1.6b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 27 (*.f64 a b))) |
| 9.6b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 (*.f64 y 9) z) (sqrt.f64 t)) (sqrt.f64 t))) (*.f64 (*.f64 a 27) b)) | |
| 3.4b | (+.f64 (*.f64 x 2) (fma.f64 y (*.f64 (*.f64 t z) -9) (*.f64 27 (*.f64 a b)))) | |
| 30.7b | (/.f64 (fma.f64 (fma.f64 (*.f64 y (*.f64 t z)) -9 (+.f64 x x)) (fma.f64 (*.f64 y (*.f64 t z)) -9 (+.f64 x x)) (*.f64 (*.f64 (*.f64 a b) (*.f64 a b)) -729)) (fma.f64 a (*.f64 b -27) (fma.f64 (*.f64 y (*.f64 t z)) -9 (+.f64 x x)))) | |
| ✓ | 1.5b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y (*.f64 9 z)) t)) (*.f64 (*.f64 a 27) b)) |
| ✓ | 1.9b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) (cbrt.f64 (*.f64 (*.f64 a 27) b)))) |
Compiled 7604 to 5238 computations (31.1% saved)
Total 0.6b remaining (97.2%)
Threshold costs 0.6b (97.2%)
Compiled 25540 to 18821 computations (26.3% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 9.33344817713355e-112 | 7.915445538876157e-109 | 9.395682275617862e-111 |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
| 17× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 9× | sub-neg_binary64 |
| 7× | neg-sub0_binary64 |
| 7× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 54 |
| 1 | 47 | 54 |
| 2 | 67 | 54 |
| 3 | 83 | 54 |
| 4 | 94 | 54 |
| 5 | 100 | 54 |
| 6 | 102 | 54 |
| 7 | 101 | 54 |
(sort a b)
Compiled 572 to 391 computations (31.6% saved)
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