Time bar (total: 39.6s)
| 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 |
| 0% | 99.8% | 0.2% | 10 |
| 1.2% | 98.6% | 0.2% | 11 |
| 1.4% | 98.4% | 0.2% | 12 |
| 10.8% | 88.9% | 0.2% | 13 |
| 10.8% | 88.9% | 0.2% | 14 |
Compiled 39 to 24 computations (38.5% saved)
| 1× | intervals |
| 410.0ms | 124× | body | 1024 | valid |
| 59.0ms | 35× | body | 512 | valid |
| 41.0ms | 81× | body | 128 | valid |
| 17.0ms | 16× | body | 256 | valid |
Compiled 82 to 52 computations (36.6% saved)
| 1× | egg-herbie |
| 571× | fma-def_binary64 |
| 244× | fma-neg_binary64 |
| 103× | unsub-neg_binary64 |
| 90× | associate-*l*_binary64 |
| 88× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 53 |
| 1 | 40 | 53 |
| 2 | 66 | 53 |
| 3 | 85 | 53 |
| 4 | 99 | 53 |
| 5 | 133 | 53 |
| 6 | 173 | 53 |
| 7 | 217 | 53 |
| 8 | 281 | 53 |
| 9 | 305 | 53 |
| 10 | 362 | 53 |
| 11 | 407 | 53 |
| 12 | 468 | 53 |
| 13 | 604 | 53 |
| 14 | 728 | 53 |
| 15 | 836 | 53 |
| 16 | 943 | 53 |
| 17 | 891 | 53 |
| 18 | 893 | 53 |
| 19 | 899 | 53 |
| 20 | 904 | 53 |
| 21 | 841 | 53 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
| ▶ | 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))) |
Compiled 144 to 76 computations (47.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)) |
| ✓ | 0.2b | (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) |
| ✓ | 0.3b | (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))) |
| ✓ | 0.6b | (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))) |
4 calls:
| 128.0ms | (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))) |
| 109.0ms | (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) |
| 56.0ms | (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)) |
| 13.0ms | (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))) |
| 1× | rewrite-expression-head |
| 11× | add-cbrt-cube_binary64 |
| 11× | add-exp-log_binary64 |
| 11× | pow1_binary64 |
| 11× | add-sqr-sqrt_binary64 |
| 9× | *-un-lft-identity_binary64 |
4 calls:
| 10.0ms | (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)) |
| 8.0ms | (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))) |
| 7.0ms | (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) |
| 1.0ms | (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))) |
| 1× | egg-herbie |
| 526× | fma-neg_binary64 |
| 424× | distribute-rgt-neg-in_binary64 |
| 373× | distribute-lft-neg-in_binary64 |
| 337× | associate-*r*_binary64 |
| 326× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 6657 |
| 1 | 773 | 6165 |
| 2 | 2591 | 5941 |
| 3 | 4836 | 5941 |
| 4 | 4984 | 5941 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 186 | 7 | 193 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 187 | 7 | 194 |
| Status | Error | Program |
| 26.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (+.f64 (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 delta) (*.f64 theta theta))) (*.f64 1/720 (*.f64 (sin.f64 delta) (pow.f64 theta 6)))))) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi1)) (cos.f64 delta))) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi1) (+.f64 (sin.f64 delta) (*.f64 1/24 (*.f64 (sin.f64 delta) (pow.f64 theta 4))))))))) | |
| ▶ | 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))) |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))))) 3))))) | |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (expm1.f64 (log1p.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))))) | |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))))) 3)))) | |
| 9.7b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (*.f64 (cos.f64 phi1) (-.f64 (cos.f64 phi1) (*.f64 (*.f64 (sin.f64 phi1) delta) (cos.f64 theta)))))) | |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (log.f64 (exp.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))))))))) |
Compiled 8788 to 2180 computations (75.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))) |
| ✓ | 0.4b | (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))) |
| ✓ | 0.6b | (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))) |
| ✓ | 3.6b | (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))) |
4 calls:
| 128.0ms | (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))) |
| 119.0ms | (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))) |
| 26.0ms | (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))) |
| 17.0ms | (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))) |
| 1× | rewrite-expression-head |
| 198× | prod-diff_binary64 |
| 197× | add-sqr-sqrt_binary64 |
| 192× | *-un-lft-identity_binary64 |
| 190× | add-cube-cbrt_binary64 |
| 176× | sin-sum_binary64 |
4 calls:
| 29.0ms | (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))) |
| 23.0ms | (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))) |
| 14.0ms | (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))) |
| 1.0ms | (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))) |
| 1× | egg-herbie |
| 885× | fma-neg_binary64 |
| 518× | cancel-sign-sub-inv_binary64 |
| 407× | sub-neg_binary64 |
| 337× | distribute-rgt-neg-in_binary64 |
| 318× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 674 | 27731 |
| 1 | 961 | 21773 |
| 2 | 2291 | 15458 |
| 3 | 3243 | 15451 |
| 4 | 4483 | 15427 |
| 5 | 4800 | 15427 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 478 | 2 | 480 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 480 | 7 | 487 |
| Status | Error | Program |
| 26.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (+.f64 (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 delta) (*.f64 theta theta))) (*.f64 1/720 (*.f64 (sin.f64 delta) (pow.f64 theta 6)))))) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi1)) (cos.f64 delta))) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi1) (+.f64 (sin.f64 delta) (*.f64 1/24 (*.f64 (sin.f64 delta) (pow.f64 theta 4))))))))) | |
| ▶ | 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (expm1.f64 (log1p.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))))) |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (+.f64 (cos.f64 delta) (neg.f64 (*.f64 (sin.f64 phi1) (cos.f64 (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))))))) | |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))))) 3)))) | |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 (-.f64 (pow.f64 (cos.f64 delta) 3) (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))) 3)) (+.f64 (*.f64 (cos.f64 delta) (cos.f64 delta)) (+.f64 (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))) (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))) (*.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))))))) | |
| 9.7b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (*.f64 (cos.f64 phi1) (-.f64 (cos.f64 phi1) (*.f64 (*.f64 (sin.f64 phi1) delta) (cos.f64 theta)))))) | |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (log.f64 (exp.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))))))))) |
Compiled 65595 to 9721 computations (85.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (log1p.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))) |
| 0.2b | (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) | |
| 0.3b | (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))) | |
| 0.6b | (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))) |
1 calls:
| 5.6s | (log1p.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))) |
| 1× | rewrite-expression-head |
| 2× | expm1-log1p-u_binary64 |
| 1× | *-un-lft-identity_binary64 |
| 1× | add-sqr-sqrt_binary64 |
| 1× | add-cube-cbrt_binary64 |
| 1× | add-cbrt-cube_binary64 |
1 calls:
| 1.0ms | (log1p.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))) |
| 1× | egg-herbie |
| 387× | fma-def_binary64 |
| 349× | unswap-sqr_binary64 |
| 257× | associate-*r*_binary64 |
| 220× | cancel-sign-sub-inv_binary64 |
| 177× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 2936 |
| 1 | 589 | 2769 |
| 2 | 2529 | 2642 |
| 3 | 4967 | 2642 |
| 4 | 5065 | 2642 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 178 | 2 | 180 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 180 | 7 | 187 |
| Status | Error | Program |
| 26.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (+.f64 (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 delta) (*.f64 theta theta))) (*.f64 1/720 (*.f64 (sin.f64 delta) (pow.f64 theta 6)))))) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi1)) (cos.f64 delta))) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi1) (+.f64 (sin.f64 delta) (*.f64 1/24 (*.f64 (sin.f64 delta) (pow.f64 theta 4))))))))) | |
| 17.5b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (expm1.f64 (*.f64 (sqrt.f64 (log1p.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))) (sqrt.f64 (log1p.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))))))) | |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (+.f64 (cos.f64 delta) (neg.f64 (*.f64 (sin.f64 phi1) (cos.f64 (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))))))) | |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))))) 3)))) | |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 (-.f64 (pow.f64 (cos.f64 delta) 3) (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))) 3)) (+.f64 (*.f64 (cos.f64 delta) (cos.f64 delta)) (+.f64 (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))) (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))) (*.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))))))) | |
| 9.7b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (*.f64 (cos.f64 phi1) (-.f64 (cos.f64 phi1) (*.f64 (*.f64 (sin.f64 phi1) delta) (cos.f64 theta)))))) | |
| ▶ | 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (expm1.f64 (log1p.f64 (log.f64 (exp.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))))))) |
Compiled 10021 to 2870 computations (71.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.2b | (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) | |
| 0.3b | (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))) | |
| 0.6b | (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))) | |
| ✓ | 0.9b | (log.f64 (exp.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))) |
1 calls:
| 119.0ms | (log.f64 (exp.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))) |
| 1× | rewrite-expression-head |
| 8× | log-prod_binary64 |
| 5× | exp-sum_binary64 |
| 4× | *-un-lft-identity_binary64 |
| 4× | add-sqr-sqrt_binary64 |
| 4× | add-cube-cbrt_binary64 |
1 calls:
| 6.0ms | (log.f64 (exp.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))) |
| 1× | egg-herbie |
| 588× | associate-*l*_binary64 |
| 569× | fma-def_binary64 |
| 549× | associate-*r*_binary64 |
| 372× | cancel-sign-sub-inv_binary64 |
| 368× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 2607 |
| 1 | 357 | 2368 |
| 2 | 1033 | 2120 |
| 3 | 4135 | 2120 |
| 4 | 4902 | 2120 |
| 5 | 4923 | 2120 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 198 | 2 | 200 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 200 | 7 | 207 |
| Status | Error | Program |
| 0.2b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (expm1.f64 (log1p.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))))))))) | |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))))) 3)))) | |
| 17.5b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (expm1.f64 (*.f64 (sqrt.f64 (log1p.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))) (sqrt.f64 (log1p.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))))))) | |
| 23.4b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/2 (*.f64 (sin.f64 delta) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi1) (*.f64 theta theta)))) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi1)) (cos.f64 delta))) (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 delta)) (+.f64 (cos.f64 phi1) (*.f64 1/24 (*.f64 (cos.f64 phi1) (pow.f64 theta 4)))))))))) | |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (+.f64 (cos.f64 delta) (neg.f64 (*.f64 (sin.f64 phi1) (cos.f64 (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))))))) | |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 (-.f64 (pow.f64 (cos.f64 delta) 3) (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))) 3)) (+.f64 (*.f64 (cos.f64 delta) (cos.f64 delta)) (+.f64 (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))) (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))) (*.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))))))) | |
| 9.7b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (*.f64 (cos.f64 phi1) (-.f64 (cos.f64 phi1) (*.f64 (*.f64 (sin.f64 phi1) delta) (cos.f64 theta)))))) |
Compiled 9837 to 2428 computations (75.3% saved)
Total 0.1b remaining (58.3%)
Threshold costs 0.1b (58.3%)
Compiled 84334 to 49077 computations (41.8% saved)
| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 5× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 124 |
| 1 | 46 | 124 |
| 2 | 54 | 124 |
| 3 | 58 | 124 |
| 4 | 59 | 124 |
| 5 | 58 | 124 |
Compiled 79 to 29 computations (63.3% saved)
| 1× | intervals |
| 8.3s | 3888× | body | 1024 | valid |
| 1.8s | 1322× | body | 512 | valid |
| 764.0ms | 2231× | body | 128 | valid |
| 403.0ms | 551× | body | 256 | valid |
| 52.0ms | 8× | body | 2048 | valid |
Compiled 542 to 262 computations (51.7% saved)
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