Time bar (total: 25.3s)
| 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 |
| 0.8% | 99% | 0.2% | 11 |
| 1.2% | 98.6% | 0.2% | 12 |
| 9.9% | 89.8% | 0.2% | 13 |
| 9.9% | 89.8% | 0.2% | 14 |
Compiled 39 to 24 computations (38.5% saved)
| 8.4s | 4079× | body | 1024 | valid |
| 1.7s | 1429× | body | 512 | valid |
| 759.0ms | 2193× | body | 128 | valid |
| 399.0ms | 548× | body | 256 | valid |
| 35.0ms | 7× | body | 2048 | valid |
Compiled 116 to 71 computations (38.8% 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× | saturated |
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 |
| 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))))))))) | |
| ▶ | 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 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))) |
Compiled 220 to 122 computations (44.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (sin.f64 theta) (sin.f64 delta)) |
| ✓ | 0.3b | (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) |
| ✓ | 0.3b | (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) |
| ✓ | 0.5b | (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))) |
4 calls:
| 61.0ms | (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))) |
| 50.0ms | (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) |
| 9.0ms | (*.f64 (sin.f64 theta) (sin.f64 delta)) |
| 9.0ms | (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) |
| 1× | batch-egg-rewrite |
| 464× | prod-diff_binary64 |
| 216× | add-sqr-sqrt_binary64 |
| 204× | log1p-expm1-u_binary64 |
| 204× | expm1-log1p-u_binary64 |
| 199× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 88 |
| 1 | 402 | 88 |
| 2 | 4870 | 88 |
| 3 | 5747 | 88 |
| 1× | node limit |
4 calls:
| 82.0ms | (*.f64 (sin.f64 theta) (sin.f64 delta)) |
| 82.0ms | (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) |
| 82.0ms | (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) |
| 82.0ms | (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))) |
| 1× | egg-herbie |
| 849× | cancel-sign-sub-inv_binary64 |
| 743× | associate-*l*_binary64 |
| 354× | sub-neg_binary64 |
| 345× | fma-neg_binary64 |
| 278× | distribute-rgt-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 3588 |
| 1 | 472 | 3470 |
| 2 | 1555 | 3362 |
| 3 | 4252 | 3362 |
| 4 | 4960 | 3362 |
| 5 | 4981 | 3362 |
| 6 | 4981 | 3362 |
| 1× | node limit |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 177 | 5 | 182 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 179 | 5 | 184 |
| 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 (pow.f64 (cbrt.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 3)))))) | |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (+.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (fma.f64 (neg.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) (sin.f64 phi1) (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))) | |
| 14.0b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (*.f64 (cos.f64 phi1) (-.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (*.f64 delta (cos.f64 theta))))))) | |
| ▶ | 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 1 (/.f64 (+.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (-.f64 (pow.f64 (cos.f64 delta) 2) (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2)))))) |
| 0.3b | (+.f64 lambda1 (atan2.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 delta) (sin.f64 theta))) 3) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))) |
Compiled 9462 to 2020 computations (78.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (pow.f64 (cos.f64 delta) 2) |
| ✓ | 0.3b | (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) |
| ✓ | 0.4b | (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2) |
| ✓ | 0.4b | (-.f64 (pow.f64 (cos.f64 delta) 2) (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2)) |
4 calls:
| 454.0ms | (-.f64 (pow.f64 (cos.f64 delta) 2) (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2)) |
| 74.0ms | (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2) |
| 68.0ms | (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) |
| 4.0ms | (pow.f64 (cos.f64 delta) 2) |
| 1× | batch-egg-rewrite |
| 311× | expm1-udef_binary64 |
| 311× | log1p-udef_binary64 |
| 175× | add-sqr-sqrt_binary64 |
| 168× | log1p-expm1-u_binary64 |
| 168× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 98 |
| 1 | 354 | 98 |
| 2 | 4102 | 98 |
| 3 | 4979 | 98 |
| 1× | node limit |
4 calls:
| 71.0ms | (pow.f64 (cos.f64 delta) 2) |
| 71.0ms | (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) |
| 71.0ms | (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2) |
| 71.0ms | (-.f64 (pow.f64 (cos.f64 delta) 2) (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2)) |
| 1× | egg-herbie |
| 647× | fma-neg_binary64 |
| 506× | distribute-rgt-neg-in_binary64 |
| 431× | associate-*r*_binary64 |
| 319× | unswap-sqr_binary64 |
| 303× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 231 | 5891 |
| 1 | 797 | 5859 |
| 2 | 3146 | 5855 |
| 3 | 5427 | 5855 |
| 1× | node limit |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 221 | 3 | 224 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 223 | 6 | 229 |
| 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 (pow.f64 (cbrt.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 3)))))) | |
| ▶ | 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 1 (/.f64 (+.f64 (cos.f64 delta) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 3)) (-.f64 (pow.f64 (cos.f64 delta) 2) (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2)))))) |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 1 (/.f64 (+.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (-.f64 (pow.f64 (cos.f64 delta) 2) (*.f64 (*.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 2)) (cbrt.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))))) | |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 1 (/.f64 (+.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (-.f64 (cbrt.f64 (pow.f64 (cos.f64 delta) 6)) (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2)))))) | |
| 14.0b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (*.f64 (cos.f64 phi1) (-.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (*.f64 delta (cos.f64 theta))))))) | |
| 0.3b | (+.f64 lambda1 (atan2.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 delta) (sin.f64 theta))) 3) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))) |
Compiled 16759 to 4763 computations (71.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.4b | (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2) | |
| 0.4b | (-.f64 (pow.f64 (cos.f64 delta) 2) (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2)) | |
| ✓ | 0.6b | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 3) |
| ✓ | 5.7b | (cbrt.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) |
2 calls:
| 1.2s | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 3) |
| 1.1s | (cbrt.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) |
| 1× | batch-egg-rewrite |
| 367× | prod-diff_binary64 |
| 269× | expm1-udef_binary64 |
| 269× | log1p-udef_binary64 |
| 151× | add-sqr-sqrt_binary64 |
| 141× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 54 |
| 1 | 304 | 54 |
| 2 | 3485 | 54 |
| 3 | 4902 | 54 |
| 1× | node limit |
2 calls:
| 52.0ms | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 3) |
| 52.0ms | (cbrt.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) |
| 1× | egg-herbie |
| 577× | associate-*r*_binary64 |
| 524× | unswap-sqr_binary64 |
| 394× | associate-*l*_binary64 |
| 283× | *-commutative_binary64 |
| 263× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 286 | 4032 |
| 1 | 988 | 4004 |
| 2 | 4292 | 3977 |
| 3 | 5799 | 3977 |
| 1× | node limit |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 223 | 0 | 223 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 223 | 6 | 229 |
| 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 (pow.f64 (cbrt.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 3)))))) | |
| ✓ | 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 1 (/.f64 (+.f64 (cos.f64 delta) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 3)) (-.f64 (pow.f64 (cos.f64 delta) 2) (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2)))))) |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 1 (/.f64 (+.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (-.f64 (pow.f64 (cos.f64 delta) 2) (*.f64 (*.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 2)) (cbrt.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))))) | |
| ▶ | 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 1 (/.f64 (+.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (-.f64 (cbrt.f64 (pow.f64 (cos.f64 delta) 6)) (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2)))))) |
| 14.0b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (*.f64 (cos.f64 phi1) (-.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (*.f64 delta (cos.f64 theta))))))) | |
| 0.3b | (+.f64 lambda1 (atan2.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 delta) (sin.f64 theta))) 3) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))) |
Compiled 19721 to 6218 computations (68.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (cbrt.f64 (pow.f64 (cos.f64 delta) 6)) |
| 0.4b | (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2) | |
| ✓ | 0.4b | (-.f64 (cbrt.f64 (pow.f64 (cos.f64 delta) 6)) (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2)) |
| ✓ | 0.7b | (pow.f64 (cos.f64 delta) 6) |
3 calls:
| 120.0ms | (-.f64 (cbrt.f64 (pow.f64 (cos.f64 delta) 6)) (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2)) |
| 7.0ms | (pow.f64 (cos.f64 delta) 6) |
| 3.0ms | (cbrt.f64 (pow.f64 (cos.f64 delta) 6)) |
| 1× | batch-egg-rewrite |
| 337× | log1p-udef_binary64 |
| 192× | add-sqr-sqrt_binary64 |
| 186× | log1p-expm1-u_binary64 |
| 186× | expm1-log1p-u_binary64 |
| 180× | add-cube-cbrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 53 |
| 1 | 395 | 49 |
| 2 | 4460 | 49 |
| 3 | 4909 | 49 |
| 1× | node limit |
3 calls:
| 63.0ms | (cbrt.f64 (pow.f64 (cos.f64 delta) 6)) |
| 63.0ms | (-.f64 (cbrt.f64 (pow.f64 (cos.f64 delta) 6)) (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2)) |
| 63.0ms | (pow.f64 (cos.f64 delta) 6) |
| 1× | egg-herbie |
| 865× | cancel-sign-sub-inv_binary64 |
| 724× | fma-neg_binary64 |
| 325× | unswap-sqr_binary64 |
| 318× | associate-*r*_binary64 |
| 279× | neg-mul-1_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 159 | 3115 |
| 1 | 530 | 3095 |
| 2 | 2135 | 3006 |
| 3 | 4271 | 3006 |
| 4 | 5162 | 3006 |
| 1× | node limit |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 171 | 0 | 171 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 171 | 6 | 177 |
| 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 (pow.f64 (cbrt.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 3)))))) | |
| ✓ | 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 1 (/.f64 (+.f64 (cos.f64 delta) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 3)) (-.f64 (pow.f64 (cos.f64 delta) 2) (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2)))))) |
| 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 1 (/.f64 (+.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (-.f64 (pow.f64 (cos.f64 delta) 2) (*.f64 (*.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 2)) (cbrt.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))))) | |
| ✓ | 0.1b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 1 (/.f64 (+.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (-.f64 (cbrt.f64 (pow.f64 (cos.f64 delta) 6)) (pow.f64 (*.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 2)))))) |
| 14.0b | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (*.f64 (cos.f64 phi1) (-.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (*.f64 delta (cos.f64 theta))))))) | |
| 0.3b | (+.f64 lambda1 (atan2.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 delta) (sin.f64 theta))) 3) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))) |
Compiled 13055 to 3741 computations (71.3% saved)
Total 0.1b remaining (62.2%)
Threshold costs 0.1b (62.2%)
Compiled 93231 to 48034 computations (48.5% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 95 |
| 1 | 41 | 95 |
| 2 | 45 | 95 |
| 3 | 47 | 95 |
| 4 | 48 | 95 |
| 5 | 47 | 95 |
| 1× | saturated |
Compiled 459 to 222 computations (51.6% saved)
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