Time bar (total: 9.6s)
| 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 |
| 1.6% | 98.2% | 0.2% | 10 |
| 3.1% | 90.4% | 6.5% | 11 |
| 9.2% | 84.4% | 6.5% | 12 |
| 13% | 80.6% | 6.5% | 13 |
| 24.8% | 68.7% | 6.5% | 14 |
Compiled 20 to 13 computations (35% saved)
| 1× | intervals |
(sort x y)
(sort t a)
| 17.0ms | 256× | body | 128 | valid |
| 4.0ms | 67× | body | 128 | nan |
| 1.0ms | 25× | body | 128 | invalid |
Compiled 44 to 30 computations (31.8% saved)
| 1× | egg-herbie |
| 1034× | fma-def_binary64 |
| 336× | fma-neg_binary64 |
| 138× | distribute-rgt-in_binary64 |
| 130× | cancel-sign-sub-inv_binary64 |
| 128× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 21 |
| 1 | 26 | 21 |
| 2 | 52 | 21 |
| 3 | 87 | 21 |
| 4 | 128 | 21 |
| 5 | 161 | 21 |
| 6 | 203 | 21 |
| 7 | 247 | 21 |
| 8 | 464 | 21 |
| 9 | 822 | 21 |
| 10 | 1234 | 21 |
| 11 | 1169 | 21 |
| 12 | 1237 | 21 |
| 13 | 1311 | 21 |
| 14 | 1375 | 21 |
| 15 | 1375 | 21 |
| 16 | 1282 | 21 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
| ▶ | 24.1b | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
Compiled 57 to 36 computations (36.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.6b | (-.f64 (*.f64 z z) (*.f64 t a)) |
| ✓ | 7.6b | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| ✓ | 8.2b | (*.f64 (*.f64 x y) z) |
| ✓ | 24.9b | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
4 calls:
| 263.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 41.0ms | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 8.0ms | (-.f64 (*.f64 z z) (*.f64 t a)) |
| 8.0ms | (*.f64 (*.f64 x y) z) |
| 1× | rewrite-expression-head |
| 18× | add-cbrt-cube_binary64 |
| 18× | add-exp-log_binary64 |
| 11× | add-sqr-sqrt_binary64 |
| 10× | *-un-lft-identity_binary64 |
| 10× | add-cube-cbrt_binary64 |
4 calls:
| 7.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 5.0ms | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 4.0ms | (*.f64 (*.f64 x y) z) |
| 3.0ms | (-.f64 (*.f64 z z) (*.f64 t a)) |
| 1× | egg-herbie |
| 731× | fma-def_binary64 |
| 379× | times-frac_binary64 |
| 318× | associate-*r*_binary64 |
| 293× | associate-*l*_binary64 |
| 277× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 4463 |
| 1 | 842 | 4196 |
| 2 | 3899 | 4138 |
| 3 | 4961 | 4138 |
| 4 | 4976 | 4138 |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 179 | 11 | 190 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 180 | 11 | 191 |
| Status | Error | Program |
| 51.0b | (exp.f64 (-.f64 (+.f64 (log.f64 (*.f64 x y)) (log.f64 z)) (log.f64 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))) | |
| 24.1b | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (fma.f64 z z (neg.f64 (*.f64 t a))))) | |
| 25.7b | (*.f64 (/.f64 (*.f64 y x) (*.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)) (cbrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) (/.f64 z (cbrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) | |
| ▶ | 22.3b | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z)) |
| 25.1b | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) (/.f64 z (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) | |
| 27.7b | (*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 y (*.f64 z x)) (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) (cbrt.f64 (/.f64 (*.f64 y (*.f64 z x)) (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) (cbrt.f64 (/.f64 (*.f64 y (*.f64 z x)) (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) | |
| 32.8b | (*.f64 y x) | |
| 44.0b | (*.f64 y (*.f64 (sqrt.f64 (/.f64 -1 (*.f64 a t))) (*.f64 z x))) | |
| 38.9b | (exp.f64 (log.f64 (/.f64 (*.f64 y (*.f64 z x)) (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) | |
| 24.4b | (/.f64 1 (/.f64 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (*.f64 (*.f64 x y) z))) | |
| 37.7b | (neg.f64 (*.f64 y x)) |
Compiled 5204 to 1601 computations (69.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z) |
| ✓ | 3.9b | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z)) |
| ✓ | 13.1b | (sqrt.f64 (neg.f64 (*.f64 a t))) |
3 calls:
| 533.0ms | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z)) |
| 172.0ms | (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z) |
| 17.0ms | (sqrt.f64 (neg.f64 (*.f64 a t))) |
| 1× | rewrite-expression-head |
| 40× | times-frac_binary64 |
| 27× | add-sqr-sqrt_binary64 |
| 26× | *-un-lft-identity_binary64 |
| 26× | add-cube-cbrt_binary64 |
| 17× | add-cbrt-cube_binary64 |
3 calls:
| 5.0ms | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z)) |
| 2.0ms | (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z) |
| 1.0ms | (sqrt.f64 (neg.f64 (*.f64 a t))) |
| 1× | egg-herbie |
| 641× | associate-/r/_binary64 |
| 607× | associate-*r/_binary64 |
| 266× | fma-def_binary64 |
| 200× | cancel-sign-sub-inv_binary64 |
| 157× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 4134 |
| 1 | 654 | 3630 |
| 2 | 2402 | 3587 |
| 3 | 5206 | 3587 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 171 | 4 | 175 |
| Fresh | 7 | 3 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 179 | 7 | 186 |
| Status | Error | Program |
| 32.8b | (*.f64 y x) | |
| ▶ | 21.3b | (*.f64 x (/.f64 y (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z))) |
| 44.0b | (*.f64 y (*.f64 (sqrt.f64 (/.f64 -1 (*.f64 a t))) (*.f64 z x))) | |
| 25.0b | (*.f64 (/.f64 x (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) (/.f64 y (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)) z))) | |
| 23.4b | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z)) | |
| 27.9b | (*.f64 (/.f64 x (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)) (*.f64 y z)) | |
| 37.7b | (neg.f64 (*.f64 y x)) |
Compiled 4619 to 1235 computations (73.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.1b | (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z) | |
| ✓ | 1.3b | (*.f64 x (/.f64 y (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z))) |
| ✓ | 1.7b | (/.f64 y (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z)) |
| 13.1b | (sqrt.f64 (neg.f64 (*.f64 a t))) |
2 calls:
| 526.0ms | (*.f64 x (/.f64 y (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z))) |
| 393.0ms | (/.f64 y (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z)) |
| 1× | rewrite-expression-head |
| 144× | times-frac_binary64 |
| 89× | add-sqr-sqrt_binary64 |
| 80× | *-un-lft-identity_binary64 |
| 80× | add-cube-cbrt_binary64 |
| 44× | associate-*r*_binary64 |
2 calls:
| 10.0ms | (*.f64 x (/.f64 y (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z))) |
| 4.0ms | (/.f64 y (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z)) |
| 1× | egg-herbie |
| 716× | fma-def_binary64 |
| 387× | fma-neg_binary64 |
| 245× | associate-*r*_binary64 |
| 220× | cancel-sign-sub-inv_binary64 |
| 218× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 343 | 6584 |
| 1 | 859 | 5818 |
| 2 | 3243 | 5779 |
| 3 | 4458 | 5779 |
| 4 | 5069 | 5779 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 320 | 1 | 321 |
| Fresh | 0 | 6 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 321 | 7 | 328 |
| Status | Error | Program |
| 32.8b | (*.f64 y x) | |
| ▶ | 21.9b | (*.f64 x (/.f64 y (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z))) |
| 44.0b | (*.f64 y (*.f64 (sqrt.f64 (/.f64 -1 (*.f64 a t))) (*.f64 z x))) | |
| 25.0b | (*.f64 (/.f64 x (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) (/.f64 y (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)) z))) | |
| 23.4b | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z)) | |
| 27.9b | (*.f64 (/.f64 x (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)) (*.f64 y z)) | |
| 37.7b | (neg.f64 (*.f64 y x)) |
Compiled 8788 to 2108 computations (76% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z) |
| ✓ | 0.2b | (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) |
| ✓ | 1.3b | (*.f64 x (/.f64 y (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z))) |
| ✓ | 1.7b | (/.f64 y (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z)) |
4 calls:
| 531.0ms | (*.f64 x (/.f64 y (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z))) |
| 405.0ms | (/.f64 y (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z)) |
| 169.0ms | (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z) |
| 19.0ms | (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) |
| 1× | rewrite-expression-head |
| 153× | times-frac_binary64 |
| 115× | add-sqr-sqrt_binary64 |
| 96× | *-un-lft-identity_binary64 |
| 96× | add-cube-cbrt_binary64 |
| 57× | associate-*r*_binary64 |
4 calls:
| 10.0ms | (*.f64 x (/.f64 y (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z))) |
| 6.0ms | (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) |
| 6.0ms | (/.f64 y (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z)) |
| 2.0ms | (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z) |
| 1× | egg-herbie |
| 558× | fma-def_binary64 |
| 363× | associate-*r*_binary64 |
| 363× | associate-*l*_binary64 |
| 294× | *-commutative_binary64 |
| 246× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 492 | 8749 |
| 1 | 1195 | 7959 |
| 2 | 4569 | 7935 |
| 3 | 5105 | 7935 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 425 | 2 | 427 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 425 | 9 | 434 |
| Status | Error | Program |
| 32.8b | (*.f64 y x) | |
| ✓ | 21.9b | (*.f64 x (/.f64 y (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z))) |
| 44.0b | (*.f64 y (*.f64 (sqrt.f64 (/.f64 -1 (*.f64 a t))) (*.f64 z x))) | |
| 25.0b | (*.f64 (/.f64 x (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) (/.f64 y (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)) z))) | |
| 23.4b | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z)) | |
| 40.6b | (*.f64 (/.f64 (*.f64 y (*.f64 z x)) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (/.f64 1 a))) | |
| 41.2b | (*.f64 x (*.f64 (/.f64 (*.f64 y z) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (/.f64 1 a)))) | |
| 27.9b | (*.f64 (/.f64 x (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)) (*.f64 y z)) | |
| 37.7b | (neg.f64 (*.f64 y x)) |
Compiled 12326 to 2984 computations (75.8% saved)
Total 5.3b remaining (96.7%)
Threshold costs 0b (0%)
Compiled 14983 to 9459 computations (36.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 6.479260276146503e+27 | 1.2182075992614663e+31 | 1.1966322469631946e+31 |
| 10 | 1.8878511057929916e-188 | 9.9626649490271e-179 | 1.910506055102422e-188 |
| 8 | -2.2488639302304887e-171 | -6.209451481055243e-175 | -6.326499446197611e-175 |
| 6 | -3.0663895257790415e+155 | -1.1717249774131364e+151 | -6.319986650356017e+152 |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 7× | +-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 5× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 98 |
| 1 | 57 | 98 |
| 2 | 73 | 98 |
| 3 | 83 | 98 |
| 4 | 91 | 98 |
| 5 | 94 | 98 |
| 6 | 92 | 98 |
Compiled 350 to 180 computations (48.6% saved)
| 1× | intervals |
| 497.0ms | 8000× | body | 128 | valid |
| 154.0ms | 2235× | body | 128 | nan |
| 53.0ms | 874× | body | 128 | invalid |
Compiled 251 to 159 computations (36.7% saved)
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