Time bar (total: 12.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 3% | 97% | 0 |
| 0% | 3% | 97% | 1 |
| 0% | 3% | 97% | 2 |
| 0% | 3% | 97% | 3 |
| 0% | 3% | 97% | 4 |
| 0% | 3% | 97% | 5 |
| 0% | 1.5% | 98.5% | 6 |
| 0% | 1.5% | 98.5% | 7 |
| 0% | 1.5% | 98.5% | 8 |
| 0% | 1.5% | 98.5% | 9 |
| 0% | 1.5% | 98.5% | 10 |
| 0.6% | 0.9% | 98.5% | 11 |
| 0.6% | 0.9% | 98.5% | 12 |
| 0.6% | 0.9% | 98.5% | 13 |
| 0.6% | 0.9% | 98.5% | 14 |
Compiled 69 to 51 computations (26.1% saved)
| 1× | intervals |
(sort cosTheta_i cosTheta_O)
(sort sinTheta_i sinTheta_O)
| 31.0ms | 256× | body | 128 | valid |
| 13.0ms | 263× | pre | 128 | true |
| 1.0ms | 7× | body | 128 | nan |
Compiled 104 to 78 computations (25% saved)
| 1× | egg-herbie |
| 788× | fma-neg_binary32 |
| 718× | fma-def_binary32 |
| 560× | exp-diff_binary32 |
| 512× | exp-sum_binary32 |
| 448× | sub-neg_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 35 |
| 1 | 53 | 33 |
| 2 | 145 | 31 |
| 3 | 532 | 29 |
| 4 | 2119 | 29 |
| 5 | 4431 | 29 |
| 6 | 4975 | 29 |
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 | (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) | |
| ▶ | 0.1b | (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))) |
Compiled 160 to 112 computations (30% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) |
| ✓ | 0.1b | (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))) |
| ✓ | 7.1b | (/.f32 (*.f32 cosTheta_i cosTheta_O) v) |
| ✓ | 8.1b | (/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
4 calls:
| 216.0ms | (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))) |
| 38.0ms | (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) |
| 13.0ms | (/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
| 12.0ms | (/.f32 (*.f32 cosTheta_i cosTheta_O) v) |
| 1× | rewrite-expression-head |
| 203× | *-un-lft-identity_binary32 |
| 150× | associate-+l+_binary32 |
| 137× | add-sqr-sqrt_binary32 |
| 127× | prod-diff_binary32 |
| 119× | times-frac_binary32 |
4 calls:
| 30.0ms | (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) |
| 24.0ms | (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))) |
| 3.0ms | (/.f32 (*.f32 cosTheta_i cosTheta_O) v) |
| 3.0ms | (/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
| 1× | egg-herbie |
| 834× | times-frac_binary32 |
| 697× | fma-neg_binary32 |
| 136× | associate-*l*_binary32 |
| 127× | +-commutative_binary32 |
| 120× | associate-/l*_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 315 | 10843 |
| 1 | 808 | 7972 |
| 2 | 2806 | 7736 |
| 3 | 5251 | 7736 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 403 | 1 | 404 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 404 | 2 | 406 |
| Status | Error | Program |
| ▶ | 0.0b | (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) |
| 0.1b | (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) |
Compiled 18679 to 8600 computations (54% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (log.f32 (/.f32 1/2 v)) |
| ✓ | 0.0b | (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) |
| ✓ | 0.0b | (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) |
| ✓ | 0.1b | (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) |
4 calls:
| 110.0ms | (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) |
| 25.0ms | (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) |
| 23.0ms | (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) |
| 22.0ms | (log.f32 (/.f32 1/2 v)) |
| 1× | rewrite-expression-head |
| 77× | *-un-lft-identity_binary32 |
| 43× | add-sqr-sqrt_binary32 |
| 39× | add-cube-cbrt_binary32 |
| 30× | prod-diff_binary32 |
| 26× | log-prod_binary32 |
4 calls:
| 8.0ms | (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) |
| 6.0ms | (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) |
| 4.0ms | (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) |
| 2.0ms | (log.f32 (/.f32 1/2 v)) |
| 1× | egg-herbie |
| 392× | fma-neg_binary32 |
| 253× | sub-neg_binary32 |
| 252× | cancel-sign-sub-inv_binary32 |
| 179× | times-frac_binary32 |
| 135× | associate-*r*_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 332 | 6102 |
| 1 | 760 | 5420 |
| 2 | 3059 | 4722 |
| 3 | 4531 | 4722 |
| 4 | 4994 | 4722 |
| 5 | 4896 | 4722 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 207 | 3 | 210 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 209 | 3 | 212 |
| Status | Error | Program |
| 0.1b | (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) | |
| 0.0b | (pow.f32 (exp.f32 (+.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) (-.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) | |
| ▶ | 0.0b | (pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) |
Compiled 7139 to 4829 computations (32.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (log.f32 (/.f32 1/2 v)) | |
| 0.0b | (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) | |
| ✓ | 0.0b | (pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) |
| 0.1b | (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) |
1 calls:
| 26.0ms | (pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) |
| 1× | rewrite-expression-head |
| 28× | *-un-lft-identity_binary32 |
| 20× | unpow-prod-up_binary32 |
| 15× | prod-diff_binary32 |
| 14× | add-sqr-sqrt_binary32 |
| 12× | add-cube-cbrt_binary32 |
1 calls:
| 7.0ms | (pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) |
| 1× | egg-herbie |
| 760× | associate-/r*_binary32 |
| 551× | fma-def_binary32 |
| 270× | associate-/r/_binary32 |
| 174× | times-frac_binary32 |
| 164× | associate-/l/_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 3311 |
| 1 | 563 | 3157 |
| 2 | 2185 | 2801 |
| 3 | 5546 | 2801 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 213 | 1 | 214 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 214 | 3 | 217 |
| Status | Error | Program |
| ▶ | 0.0b | (*.f32 (pow.f32 (E.f32) (/.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 2)) (pow.f32 (E.f32) (/.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 2))) |
| 0.1b | (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) | |
| 0.0b | (pow.f32 (exp.f32 (+.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) (-.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) |
Compiled 7476 to 4917 computations (34.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (log.f32 (/.f32 1/2 v)) | |
| 0.0b | (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) | |
| ✓ | 0.0b | (pow.f32 (E.f32) (/.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 2)) |
| 0.1b | (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) |
1 calls:
| 29.0ms | (pow.f32 (E.f32) (/.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 2)) |
| 1× | rewrite-expression-head |
| 34× | *-un-lft-identity_binary32 |
| 25× | pow-unpow_binary32 |
| 21× | times-frac_binary32 |
| 19× | add-sqr-sqrt_binary32 |
| 13× | add-cube-cbrt_binary32 |
1 calls:
| 8.0ms | (pow.f32 (E.f32) (/.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 2)) |
| 1× | egg-herbie |
| 529× | fma-def_binary32 |
| 294× | associate-/r/_binary32 |
| 273× | fma-neg_binary32 |
| 200× | associate-/l/_binary32 |
| 166× | cancel-sign-sub-inv_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 204 | 3625 |
| 1 | 611 | 3512 |
| 2 | 2285 | 3286 |
| 3 | 4809 | 3286 |
| 4 | 4978 | 3286 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 426 | 2 | 428 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 429 | 2 | 431 |
| Status | Error | Program |
| 0.2b | (*.f32 (pow.f32 (E.f32) (/.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 2)) (cbrt.f32 (pow.f32 (pow.f32 (E.f32) (*.f32 1/2 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) 3))) | |
| 15.8b | (*.f32 (pow.f32 (E.f32) (/.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 2)) (pow.f32 (E.f32) (/.f32 (/.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) 3)) (+.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6) (*.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))) 2))) |
Compiled 24007 to 16229 computations (32.4% saved)
Total 0.0b remaining (9.9%)
Threshold costs 0.0b (9.9%)
Compiled 127178 to 95712 computations (24.7% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary32 |
| 2× | *-commutative_binary32 |
| 2× | distribute-rgt-neg-in_binary32 |
| 2× | sub-neg_binary32 |
| 2× | neg-sub0_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 104 |
| 1 | 41 | 104 |
| 2 | 44 | 104 |
| 3 | 45 | 104 |
| 4 | 43 | 104 |
(sort sinTheta_i sinTheta_O)
(sort cosTheta_i cosTheta_O)
Compiled 365 to 250 computations (31.5% saved)
| 1× | intervals |
| 968.0ms | 8000× | body | 128 | valid |
| 419.0ms | 8147× | pre | 128 | true |
| 15.0ms | 147× | body | 128 | nan |
Compiled 277 to 200 computations (27.8% saved)
Loading profile data...