Time bar (total: 20.2s)
| 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 |
| 53.0ms | 256× | body | 128 | valid |
| 25.0ms | 259× | pre | 128 | true |
| 1.0ms | 3× | 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 |
| ▶ | 0.0b | (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (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)) 3121444901730491/4503599627370496) (log.f32 (/.f32 1 (*.f32 2 v))))) |
Compiled 160 to 112 computations (30% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) |
| ✓ | 0.0b | (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) |
| ✓ | 0.1b | (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) |
3 calls:
| 78.0ms | (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) |
| 68.0ms | (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) |
| 17.0ms | (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) |
| 1× | rewrite-expression-head |
| 23× | *-un-lft-identity_binary32 |
| 23× | add-sqr-sqrt_binary32 |
| 19× | add-cube-cbrt_binary32 |
| 18× | prod-diff_binary32 |
| 14× | exp-sum_binary32 |
3 calls:
| 7.0ms | (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) |
| 5.0ms | (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) |
| 1.0ms | (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) |
| 1× | egg-herbie |
| 369× | distribute-rgt-in_binary32 |
| 248× | times-frac_binary32 |
| 210× | fma-neg_binary32 |
| 176× | cancel-sign-sub-inv_binary32 |
| 174× | associate-*r*_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 262 | 6006 |
| 1 | 696 | 5386 |
| 2 | 3014 | 4645 |
| 3 | 4801 | 4645 |
| 4 | 4912 | 4645 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 136 | 3 | 139 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 138 | 3 | 141 |
| Status | Error | Program |
| ▶ | 0.1b | (*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) |
| 0.1b | (*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (*.f32 (cbrt.f32 (+.f32 3121444901730491/4503599627370496 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v))) (cbrt.f32 (+.f32 3121444901730491/4503599627370496 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v))))) (cbrt.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))) | |
| 1.4b | (*.f32 (/.f32 1/2 v) (/.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) |
Compiled 6154 to 3555 computations (42.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
| 0.0b | (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) | |
| ✓ | 0.1b | (pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) |
| 0.1b | (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) |
1 calls:
| 98.0ms | (pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) |
| 1× | rewrite-expression-head |
| 14× | unpow-prod-up_binary32 |
| 12× | *-un-lft-identity_binary32 |
| 12× | add-sqr-sqrt_binary32 |
| 10× | add-cube-cbrt_binary32 |
| 9× | prod-diff_binary32 |
1 calls:
| 8.0ms | (pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) |
| 1× | egg-herbie |
| 807× | fma-def_binary32 |
| 248× | times-frac_binary32 |
| 213× | associate-/l/_binary32 |
| 161× | associate-*r*_binary32 |
| 160× | associate-/l*_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 248 | 4144 |
| 1 | 680 | 4033 |
| 2 | 2782 | 3899 |
| 3 | 4949 | 3899 |
| 4 | 4932 | 3899 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 145 | 0 | 145 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 145 | 3 | 148 |
| Status | Error | Program |
| ✓ | 0.1b | (*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) |
| ▶ | 0.1b | (*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (*.f32 (cbrt.f32 (+.f32 3121444901730491/4503599627370496 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v))) (cbrt.f32 (+.f32 3121444901730491/4503599627370496 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v))))) (cbrt.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))) |
| 1.4b | (*.f32 (/.f32 1/2 v) (/.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) |
Compiled 6483 to 3615 computations (44.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.1b | (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) | |
| ✓ | 0.2b | (cbrt.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) |
| ✓ | 0.2b | (cbrt.f32 (+.f32 3121444901730491/4503599627370496 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v))) |
| ✓ | 0.5b | (*.f32 (cbrt.f32 (+.f32 3121444901730491/4503599627370496 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v))) (cbrt.f32 (+.f32 3121444901730491/4503599627370496 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v)))) |
3 calls:
| 1.7s | (*.f32 (cbrt.f32 (+.f32 3121444901730491/4503599627370496 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v))) (cbrt.f32 (+.f32 3121444901730491/4503599627370496 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v)))) |
| 747.0ms | (cbrt.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) |
| 747.0ms | (cbrt.f32 (+.f32 3121444901730491/4503599627370496 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v))) |
| 1× | rewrite-expression-head |
| 33× | cbrt-prod_binary32 |
| 31× | *-un-lft-identity_binary32 |
| 23× | add-sqr-sqrt_binary32 |
| 16× | cbrt-div_binary32 |
| 13× | add-cube-cbrt_binary32 |
3 calls:
| 33.0ms | (*.f32 (cbrt.f32 (+.f32 3121444901730491/4503599627370496 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v))) (cbrt.f32 (+.f32 3121444901730491/4503599627370496 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v)))) |
| 13.0ms | (cbrt.f32 (+.f32 3121444901730491/4503599627370496 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v))) |
| 5.0ms | (cbrt.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) |
| 1× | egg-herbie |
| 582× | fma-def_binary32 |
| 366× | associate-/l*_binary32 |
| 344× | associate-/r*_binary32 |
| 296× | times-frac_binary32 |
| 100× | sub-neg_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2405 | 54550 |
| 1 | 5302 | 54550 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 406 | 1 | 407 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 408 | 2 | 410 |
| Status | Error | Program |
| 1.4b | (*.f32 (/.f32 1/2 v) (/.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) | |
| ▶ | 0.0b | (*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (-.f32 3121444901730491/4503599627370496 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) 2))) (cbrt.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))) |
Compiled 76811 to 44368 computations (42.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.2b | (cbrt.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) | |
| ✓ | 0.2b | (pow.f32 (-.f32 3121444901730491/4503599627370496 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) 2) |
| ✓ | 7.9b | (/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
| ✓ | 15.2b | (cbrt.f32 (pow.f32 (-.f32 3121444901730491/4503599627370496 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) 2)) |
3 calls:
| 368.0ms | (cbrt.f32 (pow.f32 (-.f32 3121444901730491/4503599627370496 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) 2)) |
| 52.0ms | (pow.f32 (-.f32 3121444901730491/4503599627370496 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) 2) |
| 28.0ms | (/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
| 1× | rewrite-expression-head |
| 23× | *-un-lft-identity_binary32 |
| 14× | unpow-prod-down_binary32 |
| 13× | add-sqr-sqrt_binary32 |
| 12× | cbrt-prod_binary32 |
| 9× | add-cube-cbrt_binary32 |
3 calls:
| 22.0ms | (pow.f32 (-.f32 3121444901730491/4503599627370496 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) 2) |
| 22.0ms | (cbrt.f32 (pow.f32 (-.f32 3121444901730491/4503599627370496 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) 2)) |
| 9.0ms | (/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
| 1× | egg-herbie |
| 646× | times-frac_binary32 |
| 562× | associate-/r*_binary32 |
| 438× | fma-def_binary32 |
| 371× | associate-/l*_binary32 |
| 150× | *-commutative_binary32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 536 | 9406 |
| 1 | 1700 | 8856 |
| 2 | 5018 | 8856 |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 166 | 0 | 166 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 166 | 2 | 168 |
| Status | Error | Program |
| 1.4b | (*.f32 (/.f32 1/2 v) (/.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) | |
| ✓ | 0.0b | (*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (-.f32 3121444901730491/4503599627370496 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) 2))) (cbrt.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 3121444901730491/4503599627370496) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))) |
Compiled 13282 to 8104 computations (39% saved)
Total 0.0b remaining (3.7%)
Threshold costs 0.0b (3.7%)
Compiled 12624 to 9117 computations (27.8% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary32 |
| 3× | *-commutative_binary32 |
| 2× | sub-neg_binary32 |
| 1× | neg-sub0_binary32 |
| 1× | neg-mul-1_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 29 |
| 1 | 26 | 29 |
| 2 | 30 | 29 |
| 3 | 32 | 29 |
| 4 | 33 | 29 |
| 5 | 32 | 29 |
(sort sinTheta_i sinTheta_O)
(sort cosTheta_i cosTheta_O)
Compiled 120 to 90 computations (25% saved)
| 1× | intervals |
| 2.0s | 8000× | body | 128 | valid |
| 874.0ms | 8148× | pre | 128 | true |
| 32.0ms | 148× | body | 128 | nan |
Compiled 165 to 121 computations (26.7% saved)
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