Time bar (total: 11.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 0% | 99.9% | 0.1% | 7 |
| 0% | 93.6% | 6.4% | 8 |
| 9.4% | 84.3% | 6.4% | 9 |
| 14.8% | 75.7% | 9.5% | 10 |
| 16% | 71.4% | 12.6% | 11 |
| 20.9% | 65.7% | 13.4% | 12 |
| 24.2% | 60.5% | 15.3% | 13 |
| 24.8% | 58.6% | 16.6% | 14 |
Compiled 31 to 24 computations (22.6% saved)
| 2.5s | 2277× | body | 1024 | valid |
| 1.2s | 4196× | body | 128 | valid |
| 789.0ms | 1198× | body | 512 | valid |
| 368.0ms | 579× | body | 256 | valid |
| 181.0ms | 778× | body | 128 | invalid |
| 10.0ms | 6× | body | 2048 | valid |
| 1.0ms | 1× | body | 1024 | invalid |
Compiled 92 to 71 computations (22.8% saved)
| 1× | egg-herbie |
| 640× | distribute-rgt-neg-in_binary64 |
| 474× | fma-neg_binary64 |
| 418× | distribute-lft-neg-in_binary64 |
| 379× | div-sub_binary64 |
| 378× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 35 |
| 1 | 49 | 28 |
| 2 | 100 | 28 |
| 3 | 195 | 28 |
| 4 | 391 | 28 |
| 5 | 1075 | 28 |
| 6 | 2543 | 28 |
| 7 | 4200 | 28 |
| 8 | 4955 | 28 |
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 |
| ▶ | 14.6b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 x (tan.f64 B))) |
| 14.6b | (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))) |
Compiled 153 to 108 computations (29.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 F (sin.f64 B)) |
| ✓ | 0.2b | (/.f64 x (tan.f64 B)) |
| ✓ | 8.1b | (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) |
| ✓ | 17.4b | (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) |
4 calls:
| 147.0ms | (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) |
| 44.0ms | (/.f64 x (tan.f64 B)) |
| 42.0ms | (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) |
| 17.0ms | (/.f64 F (sin.f64 B)) |
| 1× | rewrite-expression-head |
| 44× | add-sqr-sqrt_binary64 |
| 31× | *-un-lft-identity_binary64 |
| 31× | add-cube-cbrt_binary64 |
| 30× | times-frac_binary64 |
| 22× | add-exp-log_binary64 |
4 calls:
| 8.0ms | (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) |
| 2.0ms | (/.f64 x (tan.f64 B)) |
| 2.0ms | (/.f64 F (sin.f64 B)) |
| 1.0ms | (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) |
| 1× | egg-herbie |
| 302× | fma-def_binary64 |
| 223× | *-commutative_binary64 |
| 221× | associate-*r*_binary64 |
| 218× | fma-neg_binary64 |
| 202× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 500 | 5883 |
| 1 | 1360 | 5603 |
| 2 | 4518 | 5575 |
| 3 | 4984 | 5575 |
| 4 | 4932 | 5575 |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 260 | 11 | 271 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 262 | 11 | 273 |
| Status | Error | Program |
| ▶ | 10.0b | (-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 36.3b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)) (/.f64 x (tan.f64 B))) | |
| 14.6b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (/.f64 (tan.f64 B) x))) | |
| 14.6b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) | |
| 14.6b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) | |
| 38.9b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B))) | |
| 14.6b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 x (/.f64 1 (tan.f64 B)))) | |
| 15.1b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (tan.f64 B)))) | |
| 33.6b | (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| 14.6b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4))) (/.f64 x (tan.f64 B))) | |
| 36.6b | (-.f64 (-.f64 (+.f64 (/.f64 x (*.f64 (sin.f64 B) (pow.f64 F 2))) (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B))) (/.f64 x (tan.f64 B))) |
Compiled 10327 to 5782 computations (44% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.2b | (/.f64 x (tan.f64 B)) | |
| ✓ | 0.2b | (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) |
| ✓ | 0.3b | (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) |
| 17.4b | (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) |
2 calls:
| 149.0ms | (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) |
| 68.0ms | (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) |
| 1× | rewrite-expression-head |
| 17× | add-exp-log_binary64 |
| 12× | add-sqr-sqrt_binary64 |
| 9× | add-cbrt-cube_binary64 |
| 7× | associate-*r*_binary64 |
| 7× | *-un-lft-identity_binary64 |
2 calls:
| 4.0ms | (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) |
| 4.0ms | (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) |
| 1× | egg-herbie |
| 829× | fma-def_binary64 |
| 324× | cancel-sign-sub-inv_binary64 |
| 258× | sub-neg_binary64 |
| 210× | fma-neg_binary64 |
| 171× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 298 | 3456 |
| 1 | 819 | 3211 |
| 2 | 2879 | 3191 |
| 3 | 4806 | 3191 |
| 4 | 4973 | 3191 |
| 5 | 4942 | 3191 |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 269 | 1 | 270 |
| Fresh | 1 | 9 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 270 | 11 | 281 |
| Status | Error | Program |
| ✓ | 10.0b | (-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 36.3b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)) (/.f64 x (tan.f64 B))) | |
| 14.6b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (/.f64 (tan.f64 B) x))) | |
| ▶ | 14.6b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
| 14.6b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) | |
| 38.9b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B))) | |
| 14.6b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 x (/.f64 1 (tan.f64 B)))) | |
| 15.1b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (tan.f64 B)))) | |
| 33.6b | (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| 36.6b | (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 x (pow.f64 F 2)) (/.f64 1 (pow.f64 F 2))) 1) (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| 14.6b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4))) (/.f64 x (tan.f64 B))) |
Compiled 10588 to 6442 computations (39.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (*.f64 x (cos.f64 B)) |
| ✓ | 0.2b | (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
| 8.1b | (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) | |
| 17.4b | (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) |
2 calls:
| 27.0ms | (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
| 7.0ms | (*.f64 x (cos.f64 B)) |
| 1× | rewrite-expression-head |
| 9× | add-cbrt-cube_binary64 |
| 9× | add-exp-log_binary64 |
| 8× | add-sqr-sqrt_binary64 |
| 6× | *-un-lft-identity_binary64 |
| 6× | add-cube-cbrt_binary64 |
2 calls:
| 4.0ms | (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
| 3.0ms | (*.f64 x (cos.f64 B)) |
| 1× | egg-herbie |
| 746× | fma-neg_binary64 |
| 515× | associate-/l*_binary64 |
| 459× | times-frac_binary64 |
| 349× | associate-*l*_binary64 |
| 309× | distribute-rgt-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 798 |
| 1 | 265 | 700 |
| 2 | 952 | 683 |
| 3 | 3688 | 683 |
| 4 | 4677 | 683 |
| 5 | 4938 | 683 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 250 | 3 | 253 |
| Fresh | 3 | 6 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 254 | 10 | 264 |
| Status | Error | Program |
| ✓ | 10.0b | (-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 36.3b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)) (/.f64 x (tan.f64 B))) | |
| 14.6b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (/.f64 (tan.f64 B) x))) | |
| 30.1b | (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) | |
| 14.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 (*.f64 x (cos.f64 B)) (/.f64 1 (sin.f64 B)))) | |
| 33.6b | (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| 38.9b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B))) | |
| 14.6b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 x (/.f64 1 (tan.f64 B)))) | |
| ▶ | 14.6b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4))) (/.f64 x (tan.f64 B))) |
| 39.4b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 (/.f64 x (sqrt.f64 (sin.f64 B))) (/.f64 (cos.f64 B) (sqrt.f64 (sin.f64 B))))) |
Compiled 10462 to 5577 computations (46.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.2b | (/.f64 x (tan.f64 B)) | |
| ✓ | 0.7b | (*.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4)) |
| ✓ | 8.1b | (*.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4))) |
| ✓ | 18.0b | (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4) |
3 calls:
| 148.0ms | (*.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4))) |
| 50.0ms | (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4) |
| 49.0ms | (*.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4)) |
| 1× | rewrite-expression-head |
| 72× | add-exp-log_binary64 |
| 47× | prod-exp_binary64 |
| 35× | add-sqr-sqrt_binary64 |
| 21× | unpow-prod-down_binary64 |
| 20× | associate-*l*_binary64 |
3 calls:
| 8.0ms | (*.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4))) |
| 6.0ms | (*.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4)) |
| 1.0ms | (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4) |
| 1× | egg-herbie |
| 421× | associate-*r*_binary64 |
| 376× | fma-def_binary64 |
| 287× | fma-neg_binary64 |
| 243× | associate-*l*_binary64 |
| 190× | associate--l+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 7303 |
| 1 | 1574 | 6751 |
| 2 | 4896 | 6751 |
| 3 | 5091 | 6751 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 375 | 0 | 375 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 375 | 10 | 385 |
| Status | Error | Program |
| ✓ | 10.0b | (-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 36.3b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)) (/.f64 x (tan.f64 B))) | |
| 14.6b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (/.f64 (tan.f64 B) x))) | |
| 30.1b | (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) | |
| 14.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 (*.f64 x (cos.f64 B)) (/.f64 1 (sin.f64 B)))) | |
| 33.6b | (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| 38.9b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B))) | |
| 14.6b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 x (/.f64 1 (tan.f64 B)))) | |
| ✓ | 14.6b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4))) (/.f64 x (tan.f64 B))) |
| 39.4b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 (/.f64 x (sqrt.f64 (sin.f64 B))) (/.f64 (cos.f64 B) (sqrt.f64 (sin.f64 B))))) |
Compiled 18470 to 11515 computations (37.7% saved)
Total 0.2b remaining (75.7%)
Threshold costs 0.2b (75.7%)
Compiled 17776 to 12172 computations (31.5% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 10 | 0.0021829558383811938 | 30561733294828332.0 | 147382261.82062265 |
| 9 | -3.368032410325591e+24 | -3042867485031892.5 | -3108929840052692.0 |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
| 7× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 2× | *-commutative_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 86 |
| 1 | 42 | 86 |
| 2 | 50 | 86 |
| 3 | 54 | 86 |
| 4 | 57 | 86 |
| 5 | 58 | 86 |
| 6 | 56 | 86 |
Compiled 338 to 220 computations (34.9% saved)
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