Time bar (total: 10.2s)
| 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)
(sort x y)
(sort t a)
| 1.2s | 8256× | body | 128 | valid |
| 435.0ms | 3144× | body | 128 | invalid |
Compiled 59 to 38 computations (35.6% 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 |
| ▶ | 23.0b | (/.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)) |
| ✓ | 5.0b | (*.f64 (*.f64 x y) z) |
| ✓ | 9.6b | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| ✓ | 24.9b | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
4 calls:
| 203.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 40.0ms | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 10.0ms | (*.f64 (*.f64 x y) z) |
| 8.0ms | (-.f64 (*.f64 z z) (*.f64 t a)) |
| 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)))) |
| 4.0ms | (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 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 181 | 9 | 190 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 182 | 9 | 191 |
| Status | Error | Program |
| 23.6b | (*.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)))) | |
| 36.9b | (neg.f64 (*.f64 y x)) | |
| ▶ | 21.2b | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z)) |
| 23.0b | (*.f64 (*.f64 (*.f64 x y) z) (/.f64 1 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))) | |
| 26.9b | (/.f64 1 (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) (*.f64 y (*.f64 z x)))) | |
| 26.5b | (/.f64 (*.f64 (*.f64 x y) z) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) | |
| 22.9b | (*.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)))) | |
| 36.9b | (*.f64 y x) | |
| 45.2b | (*.f64 y (*.f64 (sqrt.f64 (/.f64 -1 (*.f64 a t))) (*.f64 z x))) |
Compiled 5062 to 1543 computations (69.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z) |
| ✓ | 3.6b | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z)) |
| ✓ | 14.7b | (sqrt.f64 (neg.f64 (*.f64 a t))) |
3 calls:
| 505.0ms | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z)) |
| 159.0ms | (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z) |
| 16.0ms | (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 (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 174 | 1 | 175 |
| Fresh | 3 | 5 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 177 | 7 | 184 |
| Status | Error | Program |
| ✓ | 21.2b | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z)) |
| 23.0b | (*.f64 (*.f64 (*.f64 x y) z) (/.f64 1 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))) | |
| 26.9b | (/.f64 1 (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) (*.f64 y (*.f64 z x)))) | |
| 36.9b | (neg.f64 (*.f64 y x)) | |
| ▶ | 21.7b | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z)) |
| 36.9b | (*.f64 y x) | |
| 45.2b | (*.f64 y (*.f64 (sqrt.f64 (/.f64 -1 (*.f64 a t))) (*.f64 z x))) |
Compiled 4591 to 1227 computations (73.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z) |
| ✓ | 0.3b | (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) |
| ✓ | 3.6b | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z)) |
3 calls:
| 478.0ms | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z)) |
| 151.0ms | (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z) |
| 16.0ms | (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) |
| 1× | rewrite-expression-head |
| 41× | add-sqr-sqrt_binary64 |
| 40× | times-frac_binary64 |
| 31× | *-un-lft-identity_binary64 |
| 31× | add-cube-cbrt_binary64 |
| 19× | add-cbrt-cube_binary64 |
3 calls:
| 6.0ms | (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) |
| 5.0ms | (/.f64 (*.f64 x 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 |
| 648× | fma-def_binary64 |
| 217× | associate-*r*_binary64 |
| 216× | associate-*l*_binary64 |
| 205× | cancel-sign-sub-inv_binary64 |
| 185× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 329 | 4800 |
| 1 | 849 | 4428 |
| 2 | 3029 | 4227 |
| 3 | 4590 | 4225 |
| 4 | 4980 | 4225 |
| 5 | 4931 | 4225 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 227 | 5 | 232 |
| Fresh | 0 | 5 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 229 | 10 | 239 |
| Status | Error | Program |
| 26.9b | (/.f64 1 (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) (*.f64 y (*.f64 z x)))) | |
| 24.5b | (*.f64 (/.f64 x (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z)) (/.f64 y (/.f64 1 z))) | |
| 36.9b | (neg.f64 (*.f64 y x)) | |
| 23.1b | (/.f64 x (/.f64 (hypot.f64 (*.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 a)) z) (*.f64 z y))) | |
| ▶ | 21.7b | (*.f64 (*.f64 x y) (/.f64 1 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z))) |
| 22.1b | (/.f64 1 (/.f64 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z) (*.f64 x y))) | |
| 23.0b | (*.f64 (*.f64 (*.f64 x y) z) (/.f64 1 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))) | |
| 40.9b | (/.f64 (*.f64 x y) (*.f64 (/.f64 (sqrt.f64 (neg.f64 t)) z) (sqrt.f64 a))) | |
| 36.9b | (*.f64 y x) | |
| 45.2b | (*.f64 y (*.f64 (sqrt.f64 (/.f64 -1 (*.f64 a t))) (*.f64 z x))) |
Compiled 6397 to 1842 computations (71.2% 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) | |
| 0.3b | (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) | |
| ✓ | 0.6b | (/.f64 1 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z)) |
| ✓ | 3.2b | (*.f64 (*.f64 x y) (/.f64 1 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z))) |
2 calls:
| 487.0ms | (*.f64 (*.f64 x y) (/.f64 1 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z))) |
| 216.0ms | (/.f64 1 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z)) |
| 1× | rewrite-expression-head |
| 141× | times-frac_binary64 |
| 79× | *-un-lft-identity_binary64 |
| 79× | add-sqr-sqrt_binary64 |
| 79× | add-cube-cbrt_binary64 |
| 58× | add-exp-log_binary64 |
2 calls:
| 10.0ms | (*.f64 (*.f64 x y) (/.f64 1 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z))) |
| 4.0ms | (/.f64 1 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z)) |
| 1× | egg-herbie |
| 566× | associate-/r/_binary64 |
| 366× | fma-def_binary64 |
| 290× | associate-*l*_binary64 |
| 284× | associate-*r*_binary64 |
| 241× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 292 | 6770 |
| 1 | 793 | 5969 |
| 2 | 2857 | 5718 |
| 3 | 5113 | 5718 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 406 | 0 | 406 |
| Fresh | 0 | 9 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 406 | 10 | 416 |
| Status | Error | Program |
| 26.9b | (/.f64 1 (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) (*.f64 y (*.f64 z x)))) | |
| 24.5b | (*.f64 (/.f64 x (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z)) (/.f64 y (/.f64 1 z))) | |
| 36.9b | (neg.f64 (*.f64 y x)) | |
| 23.1b | (/.f64 x (/.f64 (hypot.f64 (*.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 a)) z) (*.f64 z y))) | |
| ✓ | 21.7b | (*.f64 (*.f64 x y) (/.f64 1 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z))) |
| 22.1b | (/.f64 1 (/.f64 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z) (*.f64 x y))) | |
| 23.0b | (*.f64 (*.f64 (*.f64 x y) z) (/.f64 1 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))) | |
| 40.9b | (/.f64 (*.f64 x y) (*.f64 (/.f64 (sqrt.f64 (neg.f64 t)) z) (sqrt.f64 a))) | |
| 36.9b | (*.f64 y x) | |
| 45.2b | (*.f64 y (*.f64 (sqrt.f64 (/.f64 -1 (*.f64 a t))) (*.f64 z x))) |
Compiled 11961 to 3602 computations (69.9% saved)
Total 5.3b remaining (97.6%)
Threshold costs 0b (0%)
Compiled 18032 to 11190 computations (37.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 1.651129428624487e+148 | 2.852971518133296e+149 | 3.2862688268057826e+148 |
| 9 | 1.054870462193967e-132 | 1.5050524614476815e-125 | 1.0712262234135167e-132 |
| 7 | -1.9404207378295913e-81 | -1.5782755812776344e-83 | -1.6005527008883997e-83 |
| 1 | -3.998500466365632e+154 | -4.216808940649509e+150 | -3.9587781002086833e+152 |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
| 11× | *-commutative_binary64 |
| 7× | +-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 98 |
| 1 | 54 | 98 |
| 2 | 70 | 98 |
| 3 | 80 | 98 |
| 4 | 85 | 98 |
| 5 | 86 | 98 |
| 6 | 86 | 98 |
Compiled 594 to 321 computations (46% saved)
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