Time bar (total: 1.2min)
| 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 |
| 2.3% | 97.4% | 0.2% | 9 |
| 3.5% | 96.2% | 0.2% | 10 |
| 5.3% | 94.5% | 0.2% | 11 |
| 6.1% | 93.6% | 0.2% | 12 |
| 9.2% | 90.6% | 0.2% | 13 |
| 13.8% | 85.9% | 0.2% | 14 |
Compiled 175 to 127 computations (27.4% saved)
| 1× | intervals |
| 495.0ms | 53× | body | 4096 | valid |
| 288.0ms | 46× | body | 2048 | valid |
| 234.0ms | 51× | body | 1024 | valid |
| 197.0ms | 3× | body | 8192 | exit |
| 85.0ms | 27× | body | 512 | valid |
| 47.0ms | 69× | body | 128 | valid |
| 18.0ms | 10× | body | 256 | valid |
Compiled 354 to 258 computations (27.1% saved)
| 1× | egg-herbie |
| 761× | associate-/r/_binary64 |
| 637× | times-frac_binary64 |
| 295× | associate-/l/_binary64 |
| 243× | div-sub_binary64 |
| 174× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 273 |
| 1 | 115 | 273 |
| 2 | 310 | 273 |
| 3 | 1373 | 273 |
| 4 | 5229 | 273 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 0 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 1 | 2 |
| Status | Error | Program |
| ▶ | 56.1b | (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))) PI.f64)) |
Compiled 522 to 371 computations (28.9% saved)
Found 4 expressions with local error:
| 28.6b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 28.6b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 28.6b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 28.6b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 1× | rewrite-expression-head |
| 4× | pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
4 calls:
| 3.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 2.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 2.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 2.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
Compiled 4933 to 3522 computations (28.6% saved)
4 calls:
| 44.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 41.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 40.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 33.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
Compiled 7827 to 5637 computations (28% saved)
| 1× | egg-herbie |
| 857× | distribute-rgt-neg-in_binary64 |
| 799× | distribute-lft-neg-in_binary64 |
| 459× | neg-mul-1_binary64 |
| 443× | neg-sub0_binary64 |
| 430× | cancel-sign-sub-inv_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 768 |
| 1 | 78 | 684 |
| 2 | 190 | 684 |
| 3 | 687 | 684 |
| 4 | 1253 | 684 |
| 5 | 2151 | 684 |
| 6 | 3348 | 684 |
| 7 | 4365 | 684 |
| 8 | 4732 | 684 |
| 9 | 4790 | 684 |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 18 | 4 | 22 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 19 | 4 | 23 |
| Status | Error | Program |
| 57.9b | (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))) PI.f64)) | |
| 57.8b | (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (+.f64 (-.f64 (*.f64 1/180 (*.f64 angle PI.f64)) (*.f64 1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 PI.f64 3)))) (*.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 PI.f64 5))))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))) PI.f64)) | |
| 56.1b | (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (log.f64 (exp.f64 (sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))) PI.f64)) | |
| ▶ | 56.1b | (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cbrt.f64 (pow.f64 (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))) PI.f64)) |
Compiled 5337 to 3835 computations (28.1% saved)
Found 4 expressions with local error:
| 28.6b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 28.6b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 28.6b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 28.6b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 1× | rewrite-expression-head |
| 4× | pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
4 calls:
| 2.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 2.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 2.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 2.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
Compiled 5017 to 3606 computations (28.1% saved)
4 calls:
| 36.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 34.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 34.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 30.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
Compiled 6788 to 4918 computations (27.5% saved)
| 1× | egg-herbie |
| 900× | distribute-rgt-neg-in_binary64 |
| 875× | distribute-lft-neg-in_binary64 |
| 479× | neg-mul-1_binary64 |
| 471× | neg-sub0_binary64 |
| 427× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 664 |
| 1 | 55 | 580 |
| 2 | 135 | 580 |
| 3 | 532 | 580 |
| 4 | 1029 | 580 |
| 5 | 1539 | 580 |
| 6 | 2614 | 580 |
| 7 | 3601 | 580 |
| 8 | 4540 | 580 |
| 9 | 4796 | 580 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 20 | 0 | 20 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 20 | 4 | 24 |
| Status | Error | Program |
| 57.9b | (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))) PI.f64)) | |
| 57.8b | (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (+.f64 (-.f64 (*.f64 1/180 (*.f64 angle PI.f64)) (*.f64 1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 PI.f64 3)))) (*.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 PI.f64 5))))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))) PI.f64)) | |
| ▶ | 56.1b | (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (log.f64 (exp.f64 (sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))) PI.f64)) |
| ✓ | 56.1b | (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cbrt.f64 (pow.f64 (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))) PI.f64)) |
Compiled 4844 to 3497 computations (27.8% saved)
Found 4 expressions with local error:
| 28.6b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 28.6b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 28.6b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 28.6b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 1× | rewrite-expression-head |
| 4× | pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
4 calls:
| 2.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 2.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 2.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 2.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
Compiled 4989 to 3578 computations (28.3% saved)
4 calls:
| 35.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 35.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 34.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 27.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
Compiled 6750 to 4880 computations (27.7% saved)
| 1× | egg-herbie |
| 900× | distribute-rgt-neg-in_binary64 |
| 875× | distribute-lft-neg-in_binary64 |
| 479× | neg-mul-1_binary64 |
| 471× | neg-sub0_binary64 |
| 427× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 664 |
| 1 | 55 | 580 |
| 2 | 135 | 580 |
| 3 | 532 | 580 |
| 4 | 1029 | 580 |
| 5 | 1539 | 580 |
| 6 | 2614 | 580 |
| 7 | 3601 | 580 |
| 8 | 4540 | 580 |
| 9 | 4796 | 580 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 19 | 1 | 20 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 21 | 3 | 24 |
| Status | Error | Program |
| ▶ | 57.8b | (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (+.f64 (-.f64 (*.f64 1/180 (*.f64 angle PI.f64)) (*.f64 1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 PI.f64 3)))) (*.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 PI.f64 5))))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))) PI.f64)) |
| ✓ | 56.1b | (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cbrt.f64 (pow.f64 (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))) PI.f64)) |
| 57.9b | (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (log.f64 (exp.f64 (sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))) PI.f64)) |
Compiled 4476 to 3225 computations (27.9% saved)
Found 4 expressions with local error:
| 28.6b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 28.6b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 28.6b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 28.6b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 1× | rewrite-expression-head |
| 4× | pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
4 calls:
| 2.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 2.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 2.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 2.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
Compiled 5465 to 3915 computations (28.4% saved)
4 calls:
| 36.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 32.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 31.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 31.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
Compiled 6578 to 4746 computations (27.9% saved)
| 1× | egg-herbie |
| 900× | distribute-rgt-neg-in_binary64 |
| 875× | distribute-lft-neg-in_binary64 |
| 479× | neg-mul-1_binary64 |
| 471× | neg-sub0_binary64 |
| 427× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 616 |
| 1 | 55 | 532 |
| 2 | 135 | 532 |
| 3 | 532 | 532 |
| 4 | 1029 | 532 |
| 5 | 1539 | 532 |
| 6 | 2614 | 532 |
| 7 | 3601 | 532 |
| 8 | 4540 | 532 |
| 9 | 4796 | 532 |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 20 | 0 | 20 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 20 | 3 | 23 |
| Status | Error | Program |
| 57.8b | (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (+.f64 (-.f64 (*.f64 1/180 (*.f64 angle PI.f64)) (*.f64 1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 PI.f64 3)))) (*.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 PI.f64 5))))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))) PI.f64)) | |
| 56.1b | (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cbrt.f64 (pow.f64 (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))) PI.f64)) | |
| 57.9b | (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (log.f64 (exp.f64 (sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))) PI.f64)) |
Compiled 4445 to 3195 computations (28.1% saved)
Total 0.0b remaining (0.1%)
Threshold costs 0.0b (0.1%)
Compiled 114061 to 82932 computations (27.3% saved)
| 1× | egg-herbie |
| 31× | *-commutative_binary64 |
| 26× | +-commutative_binary64 |
| 21× | sub-neg_binary64 |
| 16× | neg-mul-1_binary64 neg-sub0_binary64 |
| 4× | unsub-neg_binary64 distribute-neg-frac_binary64 distribute-neg-in_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 291 |
| 1 | 102 | 291 |
| 2 | 126 | 291 |
| 3 | 152 | 291 |
| 4 | 179 | 291 |
| 5 | 202 | 291 |
| 6 | 214 | 291 |
| 7 | 218 | 291 |
| 8 | 217 | 291 |
Compiled 185 to 135 computations (27% saved)
| 1× | intervals |
| 15.9s | 1654× | body | 4096 | valid |
| 8.6s | 1438× | body | 2048 | valid |
| 7.6s | 1601× | body | 1024 | valid |
| 5.8s | 86× | body | 8192 | exit |
| 2.2s | 688× | body | 512 | valid |
| 1.9s | 2284× | body | 128 | valid |
| 841.0ms | 335× | body | 256 | valid |
Compiled 913 to 667 computations (26.9% saved)
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