Time bar (total: 19.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 0% | 99.9% | 0.1% | 7 |
| 25% | 74.9% | 0.1% | 8 |
| 54.6% | 45.2% | 0.1% | 9 |
| 56.2% | 43.7% | 0.1% | 10 |
| 62.4% | 37.4% | 0.1% | 11 |
| 65.9% | 33.9% | 0.1% | 12 |
| 66.3% | 33.5% | 0.1% | 13 |
| 69% | 30.8% | 0.1% | 14 |
Compiled 20 to 15 computations (25% saved)
| 6.1s | 4869× | body | 1024 | valid |
| 1.1s | 1427× | body | 512 | valid |
| 354.0ms | 1412× | body | 128 | valid |
| 264.0ms | 532× | body | 256 | valid |
| 32.0ms | 16× | body | 2048 | valid |
Compiled 59 to 44 computations (25.4% saved)
| 1× | egg-herbie |
| 645× | associate-/r*_binary64 |
| 634× | sqr-pow_binary64 |
| 394× | associate-*l*_binary64 |
| 373× | cube-prod_binary64 |
| 368× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 26 |
| 1 | 26 | 18 |
| 2 | 40 | 18 |
| 3 | 68 | 18 |
| 4 | 141 | 18 |
| 5 | 348 | 18 |
| 6 | 1055 | 18 |
| 7 | 1796 | 18 |
| 8 | 2484 | 18 |
| 9 | 2697 | 18 |
| 10 | 2968 | 18 |
| 11 | 3311 | 18 |
| 12 | 3705 | 18 |
| 13 | 4603 | 18 |
| 14 | 4799 | 18 |
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 |
| 4.4b | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)) | |
| ▶ | 0.3b | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
Compiled 96 to 63 computations (34.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
| ✓ | 0.2b | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| ✓ | 0.2b | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
3 calls:
| 196.0ms | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
| 116.0ms | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| 26.0ms | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
| 1× | rewrite-expression-head |
| 24× | add-sqr-sqrt_binary64 |
| 19× | times-frac_binary64 |
| 19× | *-un-lft-identity_binary64 |
| 19× | add-cube-cbrt_binary64 |
| 13× | associate-*l*_binary64 |
3 calls:
| 5.0ms | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
| 2.0ms | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| 0.0ms | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
| 1× | egg-herbie |
| 894× | fma-def_binary64 |
| 479× | cancel-sign-sub-inv_binary64 |
| 212× | sub-neg_binary64 |
| 168× | fma-neg_binary64 |
| 164× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 324 | 4580 |
| 1 | 903 | 4251 |
| 2 | 3145 | 4236 |
| 3 | 5043 | 4236 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 174 | 8 | 182 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 176 | 8 | 184 |
| Status | Error | Program |
| 0.6b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) | |
| 1.3b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (sin.f64 ky)) (cbrt.f64 (sin.f64 ky))) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) | |
| 0.4b | (*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) | |
| 5.5b | (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky))) | |
| 8.6b | (*.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) | |
| ▶ | 0.3b | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
| 1.4b | (*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th))) | |
| 30.1b | (*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) |
Compiled 5207 to 1970 computations (62.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
| ✓ | 0.3b | (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
| ✓ | 0.3b | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
3 calls:
| 190.0ms | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
| 174.0ms | (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
| 27.0ms | (hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
| 1× | rewrite-expression-head |
| 24× | add-sqr-sqrt_binary64 |
| 19× | times-frac_binary64 |
| 19× | *-un-lft-identity_binary64 |
| 19× | add-cube-cbrt_binary64 |
| 13× | associate-*r*_binary64 |
3 calls:
| 6.0ms | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
| 2.0ms | (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
| 0.0ms | (hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
| 1× | egg-herbie |
| 555× | cancel-sign-sub-inv_binary64 |
| 257× | fma-neg_binary64 |
| 228× | times-frac_binary64 |
| 214× | sub-neg_binary64 |
| 201× | associate-*r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 326 | 5096 |
| 1 | 920 | 4768 |
| 2 | 3574 | 4768 |
| 3 | 4914 | 4768 |
| 4 | 4986 | 4768 |
| 5 | 5000 | 4768 |
| 6 | 4959 | 4768 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 143 | 4 | 147 |
| Fresh | 2 | 5 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 146 | 9 | 155 |
| Status | Error | Program |
| 5.5b | (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky))) | |
| ▶ | 0.3b | (expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) |
| 0.6b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) | |
| 1.3b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (sin.f64 ky)) (cbrt.f64 (sin.f64 ky))) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) | |
| 30.0b | (*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) | |
| 0.4b | (*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) | |
| 2.1b | (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) | |
| 18.7b | (*.f64 (sin.f64 ky) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 3))) | |
| 8.6b | (*.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) |
Compiled 4746 to 2045 computations (56.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) |
| ✓ | 0.1b | (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
| 0.3b | (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) | |
| 0.3b | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
2 calls:
| 2.3s | (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
| 214.0ms | (expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) |
| 1× | rewrite-expression-head |
| 3× | expm1-log1p-u_binary64 |
| 2× | *-un-lft-identity_binary64 |
| 2× | add-sqr-sqrt_binary64 |
| 2× | add-cube-cbrt_binary64 |
| 2× | add-cbrt-cube_binary64 |
2 calls:
| 0.0ms | (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
| 0.0ms | (expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) |
| 1× | egg-herbie |
| 482× | cancel-sign-sub-inv_binary64 |
| 246× | fma-neg_binary64 |
| 220× | unswap-sqr_binary64 |
| 212× | times-frac_binary64 |
| 208× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 269 | 4081 |
| 1 | 829 | 3981 |
| 2 | 3462 | 3955 |
| 3 | 5121 | 3955 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 195 | 0 | 195 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 195 | 9 | 204 |
| Status | Error | Program |
| 5.5b | (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky))) | |
| ✓ | 0.3b | (expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) |
| 0.6b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) | |
| 1.3b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (sin.f64 ky)) (cbrt.f64 (sin.f64 ky))) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) | |
| 30.0b | (*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) | |
| ▶ | 0.4b | (*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) |
| 2.1b | (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) | |
| 18.7b | (*.f64 (sin.f64 ky) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 3))) | |
| 8.6b | (*.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) |
Compiled 7608 to 3642 computations (52.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| ✓ | 0.2b | (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
| ✓ | 0.2b | (*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) |
| ✓ | 0.3b | (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
4 calls:
| 1.7s | (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| 203.0ms | (*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) |
| 119.0ms | (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
| 28.0ms | (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| 1× | rewrite-expression-head |
| 25× | add-sqr-sqrt_binary64 |
| 20× | *-un-lft-identity_binary64 |
| 20× | add-cube-cbrt_binary64 |
| 19× | times-frac_binary64 |
| 13× | associate-*l*_binary64 |
4 calls:
| 5.0ms | (*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) |
| 2.0ms | (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
| 0.0ms | (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| 0.0ms | (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| 1× | egg-herbie |
| 295× | sub-neg_binary64 |
| 278× | fma-def_binary64 |
| 251× | times-frac_binary64 |
| 238× | associate-/r*_binary64 |
| 207× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 422 | 5770 |
| 1 | 1208 | 5276 |
| 2 | 4466 | 5273 |
| 3 | 5032 | 5273 |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 219 | 2 | 221 |
| Fresh | 2 | 5 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 221 | 9 | 230 |
| Status | Error | Program |
| 5.5b | (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky))) | |
| ✓ | 0.3b | (expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) |
| 1.3b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (sin.f64 ky)) (cbrt.f64 (sin.f64 ky))) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) | |
| 30.0b | (*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) | |
| ✓ | 0.4b | (*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) |
| 2.1b | (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) | |
| 13.6b | (*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log.f64 (+.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (sin.f64 th)) | |
| 8.6b | (*.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) | |
| 0.6b | (*.f64 (/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sqrt.f64 (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (sin.f64 th)) |
Compiled 6809 to 2701 computations (60.3% saved)
Total 0.2b remaining (88.4%)
Threshold costs 0.2b (88.4%)
Compiled 34267 to 21533 computations (37.2% saved)
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
| 1× | /-rgt-identity_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 18 |
| 1 | 15 | 18 |
| 2 | 14 | 18 |
Compiled 214 to 130 computations (39.3% saved)
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