Time bar (total: 6.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 0% | 100% | 0 |
| 0% | 0% | 100% | 1 |
| 0% | 0% | 100% | 2 |
| 0% | 0% | 100% | 3 |
| 0% | 0% | 100% | 4 |
| 0% | 0% | 100% | 5 |
| 0% | 0% | 100% | 6 |
| 0% | 0% | 100% | 7 |
| 0% | 0% | 100% | 8 |
| 0% | 0% | 100% | 9 |
| 0% | 0% | 100% | 10 |
| 0% | 0% | 100% | 11 |
| 0% | 0% | 100% | 12 |
| 0% | 0% | 100% | 13 |
| 0% | 0% | 100% | 14 |
Compiled 43 to 31 computations (27.9% saved)
| 1.1s | 3954× | body | 256 | valid |
| 628.0ms | 1476× | body | 512 | valid |
| 461.0ms | 2826× | body | 128 | valid |
| 121.0ms | 809× | body | 128 | invalid |
Compiled 106 to 76 computations (28.3% saved)
| 1× | egg-herbie |
| 1968× | fma-neg_binary64 |
| 1363× | fma-def_binary64 |
| 898× | div-sub_binary64 |
| 743× | associate-/l*_binary64 |
| 567× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 26 |
| 1 | 30 | 22 |
| 2 | 64 | 22 |
| 3 | 135 | 22 |
| 4 | 201 | 22 |
| 5 | 335 | 22 |
| 6 | 554 | 22 |
| 7 | 929 | 22 |
| 8 | 1477 | 22 |
| 9 | 2115 | 22 |
| 10 | 2599 | 22 |
| 11 | 2554 | 22 |
| 12 | 2602 | 22 |
| 13 | 2671 | 22 |
| 14 | 3117 | 22 |
| 15 | 2327 | 22 |
| 16 | 2375 | 22 |
| 17 | 2383 | 22 |
| 18 | 2389 | 22 |
| 19 | 2395 | 22 |
| 20 | 2397 | 22 |
| 21 | 2397 | 22 |
| 22 | 2585 | 22 |
| 23 | 2685 | 22 |
| 24 | 2619 | 22 |
| 25 | 2631 | 22 |
| 26 | 2661 | 22 |
| 27 | 2677 | 22 |
| 28 | 2707 | 22 |
| 29 | 2707 | 22 |
| 30 | 2751 | 22 |
| 31 | 2851 | 22 |
| 32 | 2827 | 22 |
| 33 | 2827 | 22 |
| 34 | 2638 | 22 |
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 |
| 52.6b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) | |
| ▶ | 52.6b | (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a)) |
Compiled 111 to 74 computations (33.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 a (*.f64 c -3) (*.f64 b b)) |
| ✓ | 0.2b | (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a)) |
| ✓ | 0.3b | (/.f64 1/3 a) |
| ✓ | 25.2b | (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) |
4 calls:
| 87.0ms | (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a)) |
| 55.0ms | (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) |
| 11.0ms | (fma.f64 a (*.f64 c -3) (*.f64 b b)) |
| 2.0ms | (/.f64 1/3 a) |
| 1× | rewrite-expression-head |
| 48× | add-sqr-sqrt_binary64 |
| 39× | *-un-lft-identity_binary64 |
| 35× | add-cube-cbrt_binary64 |
| 19× | times-frac_binary64 |
| 18× | prod-diff_binary64 |
4 calls:
| 10.0ms | (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a)) |
| 4.0ms | (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) |
| 2.0ms | (/.f64 1/3 a) |
| 0.0ms | (fma.f64 a (*.f64 c -3) (*.f64 b b)) |
| 1× | egg-herbie |
| 797× | fma-def_binary64 |
| 340× | distribute-rgt-in_binary64 |
| 235× | cancel-sign-sub-inv_binary64 |
| 185× | fma-neg_binary64 |
| 160× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 5008 |
| 1 | 661 | 4039 |
| 2 | 2464 | 3848 |
| 3 | 4911 | 3848 |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 216 | 5 | 221 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 218 | 5 | 223 |
| Status | Error | Program |
| 2.1b | (*.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (fma.f64 9/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (/.f64 1/3 a)) | |
| 52.6b | (*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) (sqrt.f64 (/.f64 1/3 a))) (sqrt.f64 (/.f64 1/3 a))) | |
| ▶ | 0.4b | (/.f64 (*.f64 (fma.f64 a (*.f64 c -3) 0) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b)) |
| 1.6b | (neg.f64 (fma.f64 9/16 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 1/2 (/.f64 c b) (*.f64 3/8 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3))))))) | |
| 53.0b | (*.f64 (+.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b)))) (sqrt.f64 b)) (*.f64 (-.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b)))) (sqrt.f64 b)) (/.f64 1/3 a))) |
Compiled 5979 to 3479 computations (41.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.1b | (fma.f64 a (*.f64 c -3) (*.f64 b b)) | |
| ✓ | 0.2b | (*.f64 (fma.f64 a (*.f64 c -3) 0) (/.f64 1/3 a)) |
| ✓ | 0.3b | (fma.f64 a (*.f64 c -3) 0) |
| 0.3b | (/.f64 1/3 a) |
2 calls:
| 9.0ms | (*.f64 (fma.f64 a (*.f64 c -3) 0) (/.f64 1/3 a)) |
| 5.0ms | (fma.f64 a (*.f64 c -3) 0) |
| 1× | rewrite-expression-head |
| 15× | add-sqr-sqrt_binary64 |
| 13× | associate-*r*_binary64 |
| 10× | times-frac_binary64 |
| 10× | *-un-lft-identity_binary64 |
| 10× | add-cube-cbrt_binary64 |
2 calls:
| 5.0ms | (*.f64 (fma.f64 a (*.f64 c -3) 0) (/.f64 1/3 a)) |
| 1.0ms | (fma.f64 a (*.f64 c -3) 0) |
| 1× | egg-herbie |
| 517× | distribute-rgt-in_binary64 |
| 506× | associate-/l/_binary64 |
| 492× | associate-*l*_binary64 |
| 430× | associate-/r/_binary64 |
| 383× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 1049 |
| 1 | 175 | 901 |
| 2 | 597 | 847 |
| 3 | 2395 | 797 |
| 4 | 4205 | 797 |
| 5 | 4724 | 797 |
| 6 | 5000 | 797 |
| 7 | 4845 | 797 |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 134 | 2 | 136 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 137 | 4 | 141 |
| Status | Error | Program |
| ▶ | 0.3b | (/.f64 (*.f64 (*.f64 a (neg.f64 c)) (/.f64 1 a)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b)) |
| 0.7b | (/.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c -3) 0) (/.f64 1/3 a)) (*.f64 (fma.f64 a (*.f64 c -3) 0) (/.f64 1/3 a))) (*.f64 (fma.f64 a (*.f64 c -3) 0) (/.f64 1/3 a)))) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b)) | |
| 1.6b | (neg.f64 (fma.f64 9/16 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 1/2 (/.f64 c b) (*.f64 3/8 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3))))))) | |
| 53.0b | (*.f64 (+.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b)))) (sqrt.f64 b)) (*.f64 (-.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b)))) (sqrt.f64 b)) (/.f64 1/3 a))) |
Compiled 4021 to 2491 computations (38.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) |
| ✓ | 0.1b | (/.f64 (*.f64 (*.f64 a (neg.f64 c)) (/.f64 1 a)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b)) |
| 0.1b | (fma.f64 a (*.f64 c -3) (*.f64 b b)) | |
| ✓ | 0.3b | (*.f64 (*.f64 a (neg.f64 c)) (/.f64 1 a)) |
3 calls:
| 250.0ms | (/.f64 (*.f64 (*.f64 a (neg.f64 c)) (/.f64 1 a)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b)) |
| 51.0ms | (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) |
| 3.0ms | (*.f64 (*.f64 a (neg.f64 c)) (/.f64 1 a)) |
| 1× | rewrite-expression-head |
| 57× | add-exp-log_binary64 |
| 33× | add-cbrt-cube_binary64 |
| 24× | prod-exp_binary64 |
| 20× | *-un-lft-identity_binary64 |
| 17× | div-exp_binary64 |
3 calls:
| 11.0ms | (/.f64 (*.f64 (*.f64 a (neg.f64 c)) (/.f64 1 a)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b)) |
| 7.0ms | (*.f64 (*.f64 a (neg.f64 c)) (/.f64 1 a)) |
| 3.0ms | (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) |
| 1× | egg-herbie |
| 600× | fma-def_binary64 |
| 317× | distribute-rgt-neg-out_binary64 |
| 277× | distribute-frac-neg_binary64 |
| 228× | associate-/l*_binary64 |
| 189× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 239 | 3743 |
| 1 | 677 | 3236 |
| 2 | 2676 | 2817 |
| 3 | 4822 | 2811 |
| 4 | 4926 | 2811 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 215 | 3 | 218 |
| Fresh | 2 | 1 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 217 | 5 | 222 |
| Status | Error | Program |
| ✓ | 0.3b | (/.f64 (*.f64 (*.f64 a (neg.f64 c)) (/.f64 1 a)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b)) |
| 0.7b | (/.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c -3) 0) (/.f64 1/3 a)) (*.f64 (fma.f64 a (*.f64 c -3) 0) (/.f64 1/3 a))) (*.f64 (fma.f64 a (*.f64 c -3) 0) (/.f64 1/3 a)))) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b)) | |
| 1.6b | (fma.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) -9/16 (fma.f64 -1/2 (/.f64 c b) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3)) -3/8 (/.f64 -135/128 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 4) (pow.f64 a 3))))))) | |
| ▶ | 0.4b | (/.f64 (*.f64 a (neg.f64 c)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) a)) |
| 0.4b | (*.f64 (/.f64 (*.f64 a (neg.f64 c)) 1) (/.f64 (/.f64 1 a) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b))) |
Compiled 6304 to 3290 computations (47.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) | |
| ✓ | 0.1b | (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) a) |
| 0.1b | (fma.f64 a (*.f64 c -3) (*.f64 b b)) | |
| ✓ | 0.4b | (/.f64 (*.f64 a (neg.f64 c)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) a)) |
2 calls:
| 244.0ms | (/.f64 (*.f64 a (neg.f64 c)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) a)) |
| 70.0ms | (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) a) |
| 1× | rewrite-expression-head |
| 16× | add-cbrt-cube_binary64 |
| 16× | add-exp-log_binary64 |
| 6× | *-un-lft-identity_binary64 |
| 6× | add-sqr-sqrt_binary64 |
| 5× | cbrt-unprod_binary64 |
2 calls:
| 7.0ms | (/.f64 (*.f64 a (neg.f64 c)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) a)) |
| 5.0ms | (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) a) |
| 1× | egg-herbie |
| 617× | fma-def_binary64 |
| 339× | distribute-frac-neg_binary64 |
| 296× | times-frac_binary64 |
| 242× | distribute-rgt-neg-out_binary64 |
| 189× | associate-/l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 3021 |
| 1 | 589 | 2632 |
| 2 | 2581 | 2411 |
| 3 | 4827 | 2405 |
| 4 | 4988 | 2405 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 200 | 1 | 201 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 201 | 5 | 206 |
| Status | Error | Program |
| ✓ | 0.3b | (/.f64 (*.f64 (*.f64 a (neg.f64 c)) (/.f64 1 a)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b)) |
| 0.3b | (*.f64 (/.f64 a (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b)) (/.f64 (neg.f64 c) a)) | |
| 0.7b | (/.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c -3) 0) (/.f64 1/3 a)) (*.f64 (fma.f64 a (*.f64 c -3) 0) (/.f64 1/3 a))) (*.f64 (fma.f64 a (*.f64 c -3) 0) (/.f64 1/3 a)))) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b)) | |
| 1.6b | (fma.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) -9/16 (fma.f64 -1/2 (/.f64 c b) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b 3)) -3/8 (/.f64 -135/128 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 4) (pow.f64 a 3))))))) | |
| ✓ | 0.4b | (/.f64 (*.f64 a (neg.f64 c)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) a)) |
Compiled 5675 to 2894 computations (49% saved)
Total 0.1b remaining (80.9%)
Threshold costs 0.1b (80.9%)
Compiled 37121 to 24616 computations (33.7% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 3× | *-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 21 |
| 1 | 20 | 21 |
| 2 | 24 | 21 |
| 3 | 27 | 21 |
| 4 | 28 | 21 |
| 5 | 28 | 21 |
Compiled 192 to 129 computations (32.8% saved)
Loading profile data...