Time bar (total: 16.7s)
| 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)
| 1× | intervals |
| 29.0ms | 256× | body | 128 | valid |
| 11.0ms | 89× | body | 128 | invalid |
Compiled 53 to 41 computations (22.6% 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 |
| 2.2b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) | |
| ▶ | 1.9b | (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 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (*.f64 z t) -9) |
| ✓ | 0.5b | (*.f64 (*.f64 a 27) b) |
| ✓ | 1.7b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
3 calls:
| 57.0ms | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
| 9.0ms | (*.f64 (*.f64 z t) -9) |
| 9.0ms | (*.f64 (*.f64 a 27) b) |
| 1× | rewrite-expression-head |
| 13× | add-cbrt-cube_binary64 |
| 13× | add-exp-log_binary64 |
| 13× | pow1_binary64 |
| 6× | associate-*r*_binary64 |
| 6× | cbrt-unprod_binary64 |
3 calls:
| 10.0ms | (*.f64 (*.f64 a 27) b) |
| 7.0ms | (*.f64 (*.f64 z t) -9) |
| 1.0ms | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
| 1× | egg-herbie |
| 432× | unswap-sqr_binary64 |
| 410× | *-commutative_binary64 |
| 279× | distribute-lft-in_binary64 |
| 279× | distribute-rgt-in_binary64 |
| 257× | sqr-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 2468 |
| 1 | 240 | 2239 |
| 2 | 844 | 2239 |
| 3 | 1418 | 2239 |
| 4 | 2714 | 2239 |
| 5 | 4898 | 2239 |
| 6 | 4989 | 2239 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 83 | 6 | 89 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 84 | 7 | 91 |
| Status | Error | Program |
| ▶ | 1.9b | (fma.f64 y (*.f64 (*.f64 (*.f64 z t) (*.f64 (cbrt.f64 -9) (cbrt.f64 -9))) (cbrt.f64 -9)) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
| 15.6b | (fma.f64 27 (*.f64 a b) (*.f64 2 x)) | |
| 2.2b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) | |
| 15.2b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 (*.f64 a 27) (sqrt.f64 b)) (sqrt.f64 b)))) | |
| 2.2b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) (cbrt.f64 (*.f64 (*.f64 a 27) b))))) | |
| 32.4b | (*.f64 (sqrt.f64 (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b)))) (sqrt.f64 (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))))) | |
| 47.0b | (cbrt.f64 (pow.f64 (fma.f64 27 (*.f64 a b) (fma.f64 2 x (*.f64 (*.f64 y (*.f64 t z)) -9))) 3)) |
Compiled 2102 to 1234 computations (41.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (*.f64 (*.f64 z t) (*.f64 (cbrt.f64 -9) (cbrt.f64 -9))) (cbrt.f64 -9)) |
| ✓ | 0.3b | (*.f64 (*.f64 z t) (*.f64 (cbrt.f64 -9) (cbrt.f64 -9))) |
| 0.5b | (*.f64 (*.f64 a 27) b) | |
| ✓ | 1.7b | (fma.f64 y (*.f64 (*.f64 (*.f64 z t) (*.f64 (cbrt.f64 -9) (cbrt.f64 -9))) (cbrt.f64 -9)) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
3 calls:
| 396.0ms | (fma.f64 y (*.f64 (*.f64 (*.f64 z t) (*.f64 (cbrt.f64 -9) (cbrt.f64 -9))) (cbrt.f64 -9)) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
| 184.0ms | (*.f64 (*.f64 z t) (*.f64 (cbrt.f64 -9) (cbrt.f64 -9))) |
| 168.0ms | (*.f64 (*.f64 (*.f64 z t) (*.f64 (cbrt.f64 -9) (cbrt.f64 -9))) (cbrt.f64 -9)) |
| 1× | rewrite-expression-head |
| 33× | add-exp-log_binary64 |
| 33× | pow1_binary64 |
| 21× | cbrt-unprod_binary64 |
| 21× | prod-exp_binary64 |
| 21× | pow-prod-down_binary64 |
3 calls:
| 20.0ms | (*.f64 (*.f64 (*.f64 z t) (*.f64 (cbrt.f64 -9) (cbrt.f64 -9))) (cbrt.f64 -9)) |
| 14.0ms | (*.f64 (*.f64 z t) (*.f64 (cbrt.f64 -9) (cbrt.f64 -9))) |
| 1.0ms | (fma.f64 y (*.f64 (*.f64 (*.f64 z t) (*.f64 (cbrt.f64 -9) (cbrt.f64 -9))) (cbrt.f64 -9)) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
| 1× | egg-herbie |
| 511× | *-commutative_binary64 |
| 351× | sqr-pow_binary64 |
| 295× | exp-prod_binary64 |
| 282× | distribute-lft-in_binary64 |
| 282× | distribute-rgt-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 2998 |
| 1 | 246 | 2641 |
| 2 | 1011 | 2641 |
| 3 | 1816 | 2639 |
| 4 | 3834 | 2634 |
| 5 | 4965 | 2634 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 134 | 1 | 135 |
| Fresh | 0 | 6 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 135 | 7 | 142 |
| Status | Error | Program |
| 32.4b | (*.f64 (sqrt.f64 (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b)))) (sqrt.f64 (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))))) | |
| 2.2b | (fma.f64 y (*.f64 (*.f64 z (*.f64 t (pow.f64 (cbrt.f64 -9) 2))) (cbrt.f64 -9)) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) | |
| 2.2b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) | |
| 15.2b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 (*.f64 a 27) (sqrt.f64 b)) (sqrt.f64 b)))) | |
| ▶ | 2.2b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) (cbrt.f64 (*.f64 (*.f64 a 27) b))))) |
| 15.6b | (fma.f64 27 (*.f64 a b) (*.f64 2 x)) | |
| 47.0b | (cbrt.f64 (pow.f64 (fma.f64 27 (*.f64 a b) (fma.f64 2 x (*.f64 (*.f64 y (*.f64 t z)) -9))) 3)) |
Compiled 3845 to 2571 computations (33.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.5b | (*.f64 (*.f64 a 27) b) | |
| ✓ | 0.5b | (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) |
| ✓ | 1.7b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) (cbrt.f64 (*.f64 (*.f64 a 27) b))))) |
| ✓ | 8.9b | (cbrt.f64 (*.f64 (*.f64 a 27) b)) |
3 calls:
| 1.1s | (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) |
| 673.0ms | (cbrt.f64 (*.f64 (*.f64 a 27) b)) |
| 90.0ms | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.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 |
| 10× | pow1_binary64 |
| 9× | add-sqr-sqrt_binary64 |
| 7× | *-un-lft-identity_binary64 |
| 7× | add-cube-cbrt_binary64 |
| 7× | pow1/3_binary64 |
3 calls:
| 9.0ms | (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) |
| 5.0ms | (cbrt.f64 (*.f64 (*.f64 a 27) b)) |
| 1.0ms | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) (cbrt.f64 (*.f64 (*.f64 a 27) b))))) |
| 1× | egg-herbie |
| 651× | fma-def_binary64 |
| 506× | exp-prod_binary64 |
| 504× | associate-*l*_binary64 |
| 388× | associate-*r*_binary64 |
| 267× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 3418 |
| 1 | 303 | 3126 |
| 2 | 678 | 2869 |
| 3 | 2402 | 2686 |
| 4 | 4726 | 2624 |
| 5 | 4944 | 2624 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 248 | 1 | 249 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 249 | 7 | 256 |
| Status | Error | Program |
| 15.6b | (fma.f64 27 (*.f64 a b) (*.f64 2 x)) | |
| 47.0b | (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 b 27) (fma.f64 2 x (*.f64 (*.f64 y (*.f64 t z)) -9))) 3)) | |
| 32.4b | (*.f64 (sqrt.f64 (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b)))) (sqrt.f64 (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))))) | |
| ▶ | 2.2b | (fma.f64 y (*.f64 (*.f64 z (*.f64 t (pow.f64 (cbrt.f64 -9) 2))) (cbrt.f64 -9)) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
| 2.2b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) | |
| 15.2b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 (*.f64 a 27) (sqrt.f64 b)) (sqrt.f64 b)))) | |
| ✓ | 2.2b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) (cbrt.f64 (*.f64 (*.f64 a 27) b))))) |
Compiled 8691 to 5558 computations (36% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 t (pow.f64 (cbrt.f64 -9) 2)) |
| 0.5b | (*.f64 (*.f64 a 27) b) | |
| ✓ | 0.5b | (*.f64 z (*.f64 t (pow.f64 (cbrt.f64 -9) 2))) |
| ✓ | 1.7b | (fma.f64 y (*.f64 (*.f64 z (*.f64 t (pow.f64 (cbrt.f64 -9) 2))) (cbrt.f64 -9)) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
3 calls:
| 451.0ms | (fma.f64 y (*.f64 (*.f64 z (*.f64 t (pow.f64 (cbrt.f64 -9) 2))) (cbrt.f64 -9)) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
| 195.0ms | (*.f64 z (*.f64 t (pow.f64 (cbrt.f64 -9) 2))) |
| 145.0ms | (*.f64 t (pow.f64 (cbrt.f64 -9) 2)) |
| 1× | rewrite-expression-head |
| 18× | add-exp-log_binary64 |
| 16× | add-sqr-sqrt_binary64 |
| 12× | associate-*r*_binary64 |
| 10× | prod-exp_binary64 |
| 10× | add-cbrt-cube_binary64 |
3 calls:
| 11.0ms | (*.f64 z (*.f64 t (pow.f64 (cbrt.f64 -9) 2))) |
| 9.0ms | (*.f64 t (pow.f64 (cbrt.f64 -9) 2)) |
| 1.0ms | (fma.f64 y (*.f64 (*.f64 z (*.f64 t (pow.f64 (cbrt.f64 -9) 2))) (cbrt.f64 -9)) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
| 1× | egg-herbie |
| 407× | unswap-sqr_binary64 |
| 362× | *-commutative_binary64 |
| 307× | exp-prod_binary64 |
| 267× | fma-def_binary64 |
| 265× | sqr-pow_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 3005 |
| 1 | 242 | 2695 |
| 2 | 760 | 2565 |
| 3 | 1319 | 2563 |
| 4 | 2818 | 2563 |
| 5 | 4997 | 2563 |
| 6 | 5085 | 2563 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 135 | 0 | 135 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 135 | 7 | 142 |
| Status | Error | Program |
| 15.6b | (fma.f64 27 (*.f64 a b) (*.f64 2 x)) | |
| 47.0b | (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 b 27) (fma.f64 2 x (*.f64 (*.f64 y (*.f64 t z)) -9))) 3)) | |
| 32.4b | (*.f64 (sqrt.f64 (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b)))) (sqrt.f64 (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))))) | |
| ✓ | 2.2b | (fma.f64 y (*.f64 (*.f64 z (*.f64 t (pow.f64 (cbrt.f64 -9) 2))) (cbrt.f64 -9)) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
| 2.2b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) | |
| 15.2b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 (*.f64 a 27) (sqrt.f64 b)) (sqrt.f64 b)))) | |
| ✓ | 2.2b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a 27) b)) (cbrt.f64 (*.f64 (*.f64 a 27) b))) (cbrt.f64 (*.f64 (*.f64 a 27) b))))) |
Compiled 3629 to 2550 computations (29.7% saved)
Total 0.9b remaining (92%)
Threshold costs 0.9b (92%)
Compiled 31973 to 23688 computations (25.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 3 | 1.6451042233339892e+188 | 1.5715415760507902e+190 | 2.7966426290345276e+188 |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
| 16× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 6× | distribute-rgt-neg-in_binary64 |
| 6× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 52 |
| 1 | 45 | 52 |
| 2 | 61 | 52 |
| 3 | 77 | 52 |
| 4 | 87 | 52 |
| 5 | 92 | 52 |
| 6 | 93 | 52 |
| 7 | 92 | 52 |
(sort a b)
Compiled 294 to 203 computations (31% saved)
| 1× | intervals |
| 561.0ms | 8000× | body | 128 | valid |
| 204.0ms | 3001× | body | 128 | invalid |
Compiled 260 to 189 computations (27.3% saved)
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