Time bar (total: 16.4s)
| 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)
| 1× | intervals |
| 176.0ms | 151× | body | 1024 | valid |
| 32.0ms | 49× | body | 512 | valid |
| 8.0ms | 20× | body | 256 | valid |
| 6.0ms | 36× | body | 128 | valid |
Compiled 42 to 32 computations (23.8% 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 |
| ▶ | 0.2b | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
| 3.7b | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)) |
Compiled 96 to 63 computations (34.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (sin.f64 kx) |
| ✓ | 0.1b | (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)) |
| ✓ | 0.2b | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
4 calls:
| 207.0ms | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
| 129.0ms | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| 27.0ms | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
| 4.0ms | (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) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
| 3.0ms | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| 1.0ms | (sin.f64 kx) |
| 0.0ms | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
| 1× | egg-herbie |
| 539× | cancel-sign-sub-inv_binary64 |
| 307× | fma-neg_binary64 |
| 224× | sub-neg_binary64 |
| 206× | fma-def_binary64 |
| 167× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 343 | 4685 |
| 1 | 947 | 4356 |
| 2 | 3270 | 4356 |
| 3 | 4915 | 4352 |
| 4 | 4990 | 4352 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 192 | 8 | 200 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 194 | 8 | 202 |
| Status | Error | Program |
| 14.1b | (*.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky)) (*.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) | |
| 4.8b | (*.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))) | |
| 35.9b | (*.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))) | |
| 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))) | |
| 1.3b | (*.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) | |
| ▶ | 0.2b | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
| 1.9b | (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| 0.2b | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
Compiled 5503 to 2115 computations (61.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (sin.f64 kx) | |
| ✓ | 0.1b | (hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
| ✓ | 0.2b | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
| ✓ | 0.2b | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
3 calls:
| 228.0ms | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
| 138.0ms | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
| 28.0ms | (hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
| 1× | rewrite-expression-head |
| 24× | add-sqr-sqrt_binary64 |
| 19× | *-un-lft-identity_binary64 |
| 19× | times-frac_binary64 |
| 19× | add-cube-cbrt_binary64 |
| 13× | associate-*l*_binary64 |
3 calls:
| 5.0ms | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
| 4.0ms | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
| 0.0ms | (hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
| 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 (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 170 | 0 | 170 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 170 | 8 | 178 |
| Status | Error | Program |
| 14.1b | (*.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky)) (*.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) | |
| 4.8b | (*.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))) | |
| 35.9b | (*.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))) | |
| 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))) | |
| 1.3b | (*.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) | |
| ✓ | 0.2b | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
| 1.9b | (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| ▶ | 0.2b | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
Compiled 4888 to 1989 computations (59.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (sin.f64 kx) | |
| 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)))) |
2 calls:
| 206.0ms | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
| 196.0ms | (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
| 1× | rewrite-expression-head |
| 23× | add-sqr-sqrt_binary64 |
| 19× | times-frac_binary64 |
| 18× | *-un-lft-identity_binary64 |
| 18× | add-cube-cbrt_binary64 |
| 13× | associate-*r*_binary64 |
2 calls:
| 6.0ms | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
| 3.0ms | (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
| 1× | egg-herbie |
| 754× | fma-def_binary64 |
| 411× | cancel-sign-sub-inv_binary64 |
| 267× | fma-neg_binary64 |
| 190× | times-frac_binary64 |
| 183× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 276 | 4408 |
| 1 | 778 | 4225 |
| 2 | 3013 | 4209 |
| 3 | 4923 | 4207 |
| 4 | 4967 | 4207 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 161 | 2 | 163 |
| Fresh | 2 | 4 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 164 | 7 | 171 |
| Status | Error | Program |
| 14.1b | (*.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky)) (*.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) | |
| 1.3b | (*.f64 (*.f64 (cbrt.f64 (sin.f64 ky)) (cbrt.f64 (sin.f64 ky))) (*.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) | |
| 4.8b | (*.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))) | |
| 35.9b | (*.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))) | |
| ▶ | 0.5b | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
| 1.9b | (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| ✓ | 0.2b | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
Compiled 4917 to 2099 computations (57.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
| ✓ | 0.3b | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
| ✓ | 0.3b | (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
| ✓ | 0.4b | (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
4 calls:
| 276.0ms | (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
| 244.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
| 156.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
| 46.0ms | (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
| 1× | rewrite-expression-head |
| 92× | add-sqr-sqrt_binary64 |
| 84× | times-frac_binary64 |
| 61× | *-un-lft-identity_binary64 |
| 61× | add-cube-cbrt_binary64 |
| 51× | sqrt-prod_binary64 |
4 calls:
| 16.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
| 4.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
| 4.0ms | (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
| 1.0ms | (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
| 1× | egg-herbie |
| 386× | fma-neg_binary64 |
| 381× | associate-*r*_binary64 |
| 341× | fma-def_binary64 |
| 279× | associate-*l*_binary64 |
| 200× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 492 | 10360 |
| 1 | 1402 | 9508 |
| 2 | 4952 | 9506 |
| 3 | 5271 | 9506 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 294 | 1 | 295 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 295 | 7 | 302 |
| Status | Error | Program |
| 14.1b | (*.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky)) (*.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th)) | |
| 4.8b | (*.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))) | |
| 35.9b | (*.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))) | |
| ✓ | 0.5b | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
| 0.9b | (*.f64 (/.f64 (/.f64 (sin.f64 ky) (fabs.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) | |
| 1.9b | (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| ✓ | 0.2b | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
Compiled 11069 to 3694 computations (66.6% saved)
Total 0.2b remaining (83.1%)
Threshold costs 0.2b (83.1%)
Compiled 46404 to 26640 computations (42.6% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | *-lft-identity_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 18 |
| 1 | 16 | 18 |
| 2 | 15 | 18 |
Compiled 14 to 9 computations (35.7% saved)
| 1× | intervals |
| 5.1s | 4582× | body | 1024 | valid |
| 949.0ms | 1444× | body | 512 | valid |
| 265.0ms | 1424× | body | 128 | valid |
| 226.0ms | 541× | body | 256 | valid |
| 19.0ms | 9× | body | 2048 | valid |
Compiled 193 to 114 computations (40.9% saved)
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