Time bar (total: 32.8s)
| 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 |
| 0% | 99.8% | 0.2% | 10 |
| 0% | 99.8% | 0.2% | 11 |
| 0% | 99.8% | 0.2% | 12 |
| 0.6% | 99.2% | 0.2% | 13 |
| 1.8% | 98% | 0.2% | 14 |
Compiled 71 to 47 computations (33.8% saved)
| 1× | intervals |
| 341.0ms | 182× | body | 1024 | valid |
| 44.0ms | 15× | body | 2048 | valid |
| 31.0ms | 27× | body | 512 | valid |
| 9.0ms | 12× | body | 256 | valid |
| 7.0ms | 20× | body | 128 | valid |
| 2.0ms | 1× | body | 1024 | invalid |
Compiled 146 to 98 computations (32.9% saved)
| 1× | egg-herbie |
| 714× | distribute-rgt-neg-in_binary64 |
| 578× | sub-neg_binary64 |
| 479× | fabs-mul_binary64 |
| 468× | cube-prod_binary64 |
| 458× | sqr-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 103 |
| 1 | 59 | 103 |
| 2 | 119 | 103 |
| 3 | 235 | 103 |
| 4 | 459 | 103 |
| 5 | 811 | 103 |
| 6 | 1302 | 103 |
| 7 | 2017 | 103 |
| 8 | 2988 | 103 |
| 9 | 3479 | 103 |
| 10 | 4058 | 103 |
| 11 | 4322 | 103 |
| 12 | 4127 | 103 |
| 13 | 3850 | 103 |
| 14 | 4705 | 103 |
| 15 | 4800 | 103 |
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 |
| ▶ | 24.9b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) |
Compiled 210 to 138 computations (34.3% saved)
Found 4 expressions with local error:
| 3.3b | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 3.3b | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 3.3b | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 3.3b | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 1× | rewrite-expression-head |
| 4× | div-sub_binary64 sin-diff_binary64 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:
| 5.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 5.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 5.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 5.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
Compiled 2333 to 1346 computations (42.3% saved)
4 calls:
| 40.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 39.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 39.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 36.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
Compiled 7729 to 5049 computations (34.7% saved)
| 1× | egg-herbie |
| 637× | distribute-rgt-neg-in_binary64 |
| 610× | cancel-sign-sub-inv_binary64 |
| 566× | sub-neg_binary64 |
| 486× | distribute-lft-neg-in_binary64 |
| 337× | neg-mul-1_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 1524 |
| 1 | 146 | 1448 |
| 2 | 357 | 1358 |
| 3 | 953 | 1330 |
| 4 | 2239 | 1330 |
| 5 | 4280 | 1330 |
| 6 | 4464 | 1330 |
| 7 | 4871 | 1330 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 18 | 8 | 26 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 19 | 8 | 27 |
| Status | Error | Program |
| 37.8b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (+.f64 1 (*.f64 (*.f64 lambda1 lambda1) -1/8))) (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (+.f64 1/2 (*.f64 lambda1 (*.f64 lambda1 -1/48))))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 36.5b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 (*.f64 lambda2 lambda2) -1/8) 1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 38.8b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (-.f64 (*.f64 1/2 (*.f64 lambda1 (cos.f64 (*.f64 -1/2 lambda2)))) (*.f64 (+.f64 1 (*.f64 (*.f64 lambda1 lambda1) -1/8)) (sin.f64 (*.f64 lambda2 1/2))))))))))) | |
| ▶ | 24.9b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) |
| 38.7b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 1/2 (*.f64 lambda1 (cos.f64 (*.f64 -1/2 lambda2)))))))))))) | |
| 36.4b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 1/2 (*.f64 lambda1 (cos.f64 (*.f64 -1/2 lambda2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 25.2b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 38.0b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 (*.f64 lambda2 lambda2) -1/8) 1)))))))))) |
Compiled 3273 to 2068 computations (36.8% saved)
Found 4 expressions with local error:
| 3.3b | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 3.3b | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 3.3b | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 9.1b | (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) |
| 1× | rewrite-expression-head |
| 12× | cbrt-prod_binary64 |
| 7× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 4× | pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
| 3× | unpow-prod-down_binary64 cube-prod_binary64 div-sub_binary64 sin-diff_binary64 |
| 1× | pow1/3_binary64 unpow3_binary64 cube-mult_binary64 sqr-pow_binary64 rem-cbrt-cube_binary64 |
4 calls:
| 6.0ms | (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) |
| 5.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 5.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 5.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
Compiled 3223 to 1914 computations (40.6% saved)
4 calls:
| 43.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 43.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 43.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 40.0ms | (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) |
Compiled 7863 to 5216 computations (33.7% saved)
| 1× | egg-herbie |
| 637× | distribute-rgt-neg-in_binary64 |
| 626× | fabs-mul_binary64 |
| 610× | cancel-sign-sub-inv_binary64 |
| 528× | unswap-sqr_binary64 |
| 379× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 1641 |
| 1 | 182 | 1587 |
| 2 | 465 | 1510 |
| 3 | 1230 | 1482 |
| 4 | 2752 | 1464 |
| 5 | 4437 | 1464 |
| 6 | 4745 | 1464 |
| 7 | 4860 | 1464 |
| 8 | 4740 | 1464 |
| 9 | 4971 | 1464 |
| 10 | 4942 | 1464 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 38 | 6 | 44 |
| Fresh | 1 | 6 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 40 | 12 | 52 |
| Status | Error | Program |
| 25.0b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) 2) (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 37.8b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (+.f64 1 (*.f64 (*.f64 lambda1 lambda1) -1/8))) (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (+.f64 1/2 (*.f64 lambda1 (*.f64 lambda1 -1/48))))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 36.5b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 (*.f64 lambda2 lambda2) -1/8) 1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 25.2b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 50.8b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sqrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sqrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 38.8b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (-.f64 (*.f64 1/2 (*.f64 lambda1 (cos.f64 (*.f64 -1/2 lambda2)))) (*.f64 (+.f64 1 (*.f64 (*.f64 lambda1 lambda1) -1/8)) (sin.f64 (*.f64 lambda2 1/2))))))))))) | |
| 38.7b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 1/2 (*.f64 lambda1 (cos.f64 (*.f64 -1/2 lambda2)))))))))))) | |
| 25.0b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) 2) (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))) | |
| ▶ | 24.9b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) |
| 36.4b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 1/2 (*.f64 lambda1 (cos.f64 (*.f64 -1/2 lambda2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 25.0b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))))))))) | |
| 38.0b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 (*.f64 lambda2 lambda2) -1/8) 1)))))))))) |
Compiled 4552 to 2897 computations (36.4% saved)
Found 4 expressions with local error:
| 3.3b | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 3.3b | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 3.3b | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 3.4b | (log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) |
| 1× | rewrite-expression-head |
| 6× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 5× | pow1_binary64 |
| 4× | log-pow_binary64 div-sub_binary64 sin-diff_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
| 3× | exp-prod_binary64 log-prod_binary64 |
| 1× | exp-diff_binary64 log-div_binary64 rem-log-exp_binary64 |
4 calls:
| 6.0ms | (log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) |
| 5.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 5.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 5.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
Compiled 2869 to 1690 computations (41.1% saved)
4 calls:
| 60.0ms | (log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) |
| 42.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 42.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 41.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
Compiled 7573 to 5038 computations (33.5% saved)
| 1× | egg-herbie |
| 637× | distribute-rgt-neg-in_binary64 |
| 614× | cancel-sign-sub-inv_binary64 |
| 486× | distribute-lft-neg-in_binary64 |
| 468× | sub-neg_binary64 |
| 324× | neg-mul-1_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 1600 |
| 1 | 184 | 1512 |
| 2 | 411 | 1435 |
| 3 | 1037 | 1407 |
| 4 | 2400 | 1407 |
| 5 | 4230 | 1407 |
| 6 | 4755 | 1407 |
| 7 | 4934 | 1407 |
| 8 | 4940 | 1407 |
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 40 | 2 | 42 |
| Fresh | 1 | 10 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 41 | 13 | 54 |
| Status | Error | Program |
| 25.0b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) 2) (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 37.8b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (+.f64 1 (*.f64 (*.f64 lambda1 lambda1) -1/8))) (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (+.f64 1/2 (*.f64 lambda1 (*.f64 lambda1 -1/48))))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 36.5b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 (*.f64 lambda2 lambda2) -1/8) 1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 25.2b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 50.8b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sqrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sqrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 38.8b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (-.f64 (*.f64 1/2 (*.f64 lambda1 (cos.f64 (*.f64 -1/2 lambda2)))) (*.f64 (+.f64 1 (*.f64 (*.f64 lambda1 lambda1) -1/8)) (sin.f64 (*.f64 lambda2 1/2))))))))))) | |
| 38.7b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 1/2 (*.f64 lambda1 (cos.f64 (*.f64 -1/2 lambda2)))))))))))) | |
| 25.0b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) 2) (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))) | |
| ✓ | 24.9b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) |
| 38.0b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 (+.f64 (*.f64 (*.f64 lambda2 lambda2) -1/8) 1) (sin.f64 (*.f64 1/2 lambda1))))))))))) | |
| 36.4b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 1/2 (*.f64 lambda1 (cos.f64 (*.f64 -1/2 lambda2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| ▶ | 25.0b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))))))))) |
| 25.0b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) |
Compiled 4900 to 3097 computations (36.8% saved)
Found 4 expressions with local error:
| 3.3b | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 3.3b | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 9.1b | (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) |
| 9.1b | (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) |
| 1× | rewrite-expression-head |
| 24× | cbrt-prod_binary64 |
| 10× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 6× | unpow-prod-down_binary64 cube-prod_binary64 |
| 4× | pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
| 2× | pow1/3_binary64 unpow3_binary64 cube-mult_binary64 sqr-pow_binary64 rem-cbrt-cube_binary64 div-sub_binary64 sin-diff_binary64 |
4 calls:
| 8.0ms | (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) |
| 6.0ms | (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) |
| 5.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 5.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
Compiled 4173 to 2542 computations (39.1% saved)
4 calls:
| 45.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 45.0ms | (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) |
| 43.0ms | (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) |
| 42.0ms | (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) |
Compiled 7991 to 5377 computations (32.7% saved)
| 1× | egg-herbie |
| 641× | cancel-sign-sub-inv_binary64 |
| 498× | unswap-sqr_binary64 |
| 365× | fabs-mul_binary64 |
| 328× | unsub-neg_binary64 |
| 323× | distribute-rgt-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 1842 |
| 1 | 162 | 1758 |
| 2 | 390 | 1694 |
| 3 | 970 | 1666 |
| 4 | 1971 | 1638 |
| 5 | 4245 | 1638 |
| 6 | 4841 | 1638 |
| 7 | 4949 | 1638 |
| 8 | 4998 | 1638 |
| 9 | 4902 | 1638 |
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 58 | 0 | 58 |
| Fresh | 0 | 11 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 58 | 13 | 71 |
| Status | Error | Program |
| 25.0b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) 2) (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 37.8b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (+.f64 1 (*.f64 (*.f64 lambda1 lambda1) -1/8))) (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (+.f64 1/2 (*.f64 lambda1 (*.f64 lambda1 -1/48))))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 36.5b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 (*.f64 lambda2 lambda2) -1/8) 1)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 25.2b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 50.8b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sqrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sqrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 38.8b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (-.f64 (*.f64 1/2 (*.f64 lambda1 (cos.f64 (*.f64 -1/2 lambda2)))) (*.f64 (+.f64 1 (*.f64 (*.f64 lambda1 lambda1) -1/8)) (sin.f64 (*.f64 lambda2 1/2))))))))))) | |
| 38.7b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 1/2 (*.f64 lambda1 (cos.f64 (*.f64 -1/2 lambda2)))))))))))) | |
| 25.0b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) 2) (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))) | |
| 24.9b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 38.0b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 (+.f64 (*.f64 (*.f64 lambda2 lambda2) -1/8) 1) (sin.f64 (*.f64 1/2 lambda1))))))))))) | |
| 36.4b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 1/2 (*.f64 lambda1 (cos.f64 (*.f64 -1/2 lambda2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) | |
| 25.0b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))))))))) | |
| 25.0b | (*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))) |
Compiled 3955 to 2487 computations (37.1% saved)
Total 0.5b remaining (1.9%)
Threshold costs 0.5b (1.9%)
Compiled 158188 to 107860 computations (31.8% saved)
| 1× | egg-herbie |
| 17× | *-commutative_binary64 |
| 15× | +-commutative_binary64 |
| 13× | sub-neg_binary64 |
| 10× | neg-mul-1_binary64 neg-sub0_binary64 |
| 8× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 103 |
| 1 | 43 | 103 |
| 2 | 57 | 103 |
| 3 | 75 | 103 |
| 4 | 95 | 103 |
| 5 | 108 | 103 |
| 6 | 116 | 103 |
| 7 | 121 | 103 |
| 8 | 123 | 103 |
| 9 | 121 | 103 |
(sort phi1 phi2)
(sort lambda1 lambda2)
Compiled 350 to 230 computations (34.3% saved)
| 1× | intervals |
| 9.7s | 5265× | body | 1024 | valid |
| 1.5s | 1255× | body | 512 | valid |
| 1.3s | 413× | body | 2048 | valid |
| 316.0ms | 414× | body | 256 | valid |
| 230.0ms | 653× | body | 128 | valid |
| 3.0ms | 2× | body | 1024 | invalid |
| 2.0ms | 2× | body | 512 | invalid |
Compiled 1201 to 819 computations (31.8% saved)
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