Time bar (total: 11.9s)
| 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 51 to 38 computations (25.5% saved)
| 1× | intervals |
| 29.0ms | 256× | body | 128 | valid |
| 13.0ms | 256× | pre | 128 | true |
Compiled 86 to 65 computations (24.4% saved)
| 1× | egg-herbie |
| 982× | exp-sum_binary32 |
| 570× | exp-diff_binary32 |
| 458× | sub-neg_binary32 |
| 380× | cancel-sign-sub-inv_binary32 |
| 307× | div-exp_binary32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 35 |
| 1 | 53 | 33 |
| 2 | 145 | 33 |
| 3 | 513 | 33 |
| 4 | 1979 | 33 |
| 5 | 3856 | 33 |
| 6 | 4782 | 33 |
| 7 | 5305 | 33 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
| 0.0b | (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))))) | |
| ▶ | 0.0b | (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 3121444901730491/4503599627370496))) |
Compiled 141 to 101 computations (28.4% saved)
Found 4 expressions with local error:
| 0.1b | (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 3121444901730491/4503599627370496)) |
| 0.1b | (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
| 7.1b | (/.f32 (*.f32 cosTheta_i cosTheta_O) v) |
| 7.5b | (/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
| 1× | rewrite-expression-head |
| 27× | *-un-lft-identity_binary32 |
| 16× | add-log-exp_binary32 |
| 14× | add-exp-log_binary32 add-cbrt-cube_binary32 |
| 13× | add-sqr-sqrt_binary32 |
| 11× | add-cube-cbrt_binary32 |
4 calls:
| 23.0ms | (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 3121444901730491/4503599627370496)) |
| 9.0ms | (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
| 5.0ms | (/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
| 5.0ms | (/.f32 (*.f32 cosTheta_i cosTheta_O) v) |
Compiled 2345 to 1040 computations (55.7% saved)
4 calls:
| 111.0ms | (exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 3121444901730491/4503599627370496)) |
| 107.0ms | (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
| 51.0ms | (/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
| 50.0ms | (/.f32 (*.f32 cosTheta_i cosTheta_O) v) |
Compiled 3447 to 2385 computations (30.8% saved)
| 1× | egg-herbie |
| 494× | associate-/l/_binary32 |
| 467× | associate-/r*_binary32 |
| 294× | associate-/r/_binary32 |
| 129× | exp-sum_binary32 associate-/l*_binary32 |
| 125× | times-frac_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 192 | 2430 |
| 1 | 483 | 2320 |
| 2 | 1745 | 2314 |
| 3 | 4610 | 2314 |
| 4 | 5077 | 2314 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 86 | 3 | 89 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 88 | 3 | 91 |
| Status | Error | Program |
| 4.7b | (*.f32 (/.f32 1/2 v) (/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (/.f32 1 v) 3121444901730491/4503599627370496)))) | |
| 0.0b | (*.f32 (/.f32 1/2 v) (*.f32 (*.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 3121444901730491/4503599627370496 (/.f32 -1 v))))) (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 3121444901730491/4503599627370496 (/.f32 -1 v)))))) (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 3121444901730491/4503599627370496 (/.f32 -1 v))))))) | |
| ▶ | 0.0b | (*.f32 (/.f32 1/2 v) (pow.f32 E.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 3121444901730491/4503599627370496))) |
Compiled 1464 to 717 computations (51% saved)
Found 4 expressions with local error:
| 0.0b | (pow.f32 E.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 3121444901730491/4503599627370496)) |
| 0.1b | (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
| 7.1b | (/.f32 (*.f32 cosTheta_i cosTheta_O) v) |
| 7.5b | (/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
| 1× | rewrite-expression-head |
| 28× | *-un-lft-identity_binary32 |
| 15× | add-exp-log_binary32 |
| 14× | add-cbrt-cube_binary32 add-sqr-sqrt_binary32 |
| 12× | add-cube-cbrt_binary32 |
| 9× | times-frac_binary32 |
4 calls:
| 26.0ms | (pow.f32 E.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 3121444901730491/4503599627370496)) |
| 9.0ms | (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
| 4.0ms | (/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
| 4.0ms | (/.f32 (*.f32 cosTheta_i cosTheta_O) v) |
Compiled 2614 to 1118 computations (57.2% saved)
4 calls:
| 114.0ms | (pow.f32 E.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 3121444901730491/4503599627370496)) |
| 104.0ms | (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
| 53.0ms | (/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
| 52.0ms | (/.f32 (*.f32 cosTheta_i cosTheta_O) v) |
Compiled 3527 to 2458 computations (30.3% saved)
| 1× | egg-herbie |
| 514× | associate-/l/_binary32 |
| 468× | associate-/r*_binary32 |
| 296× | associate-/r/_binary32 |
| 131× | associate-/l*_binary32 |
| 125× | times-frac_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 207 | 2729 |
| 1 | 533 | 2635 |
| 2 | 1860 | 2611 |
| 3 | 4825 | 2611 |
| 4 | 4990 | 2611 |
| 5 | 4960 | 2611 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 96 | 1 | 97 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 97 | 3 | 100 |
| Status | Error | Program |
| ▶ | 0.0b | (*.f32 (/.f32 1/2 v) (*.f32 (*.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 3121444901730491/4503599627370496 (/.f32 -1 v))))) (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 3121444901730491/4503599627370496 (/.f32 -1 v)))))) (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 3121444901730491/4503599627370496 (/.f32 -1 v))))))) |
| ✓ | 0.0b | (*.f32 (/.f32 1/2 v) (pow.f32 E.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 3121444901730491/4503599627370496))) |
| 4.7b | (*.f32 (/.f32 1/2 v) (/.f32 (pow.f32 E.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (pow.f32 E.f32 (-.f32 (/.f32 1 v) 3121444901730491/4503599627370496)))) |
Compiled 1599 to 758 computations (52.6% saved)
Found 4 expressions with local error:
| 0.1b | (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) |
| 3.2b | (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) |
| 3.2b | (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) |
| 3.2b | (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) |
| 1× | rewrite-expression-head |
| 28× | add-cube-cbrt_binary32 add-sqr-sqrt_binary32 *-un-lft-identity_binary32 |
| 27× | times-frac_binary32 |
| 10× | add-exp-log_binary32 add-cbrt-cube_binary32 |
| 9× | associate-/l*_binary32 associate-/r*_binary32 |
| 6× | add-log-exp_binary32 associate-/l/_binary32 |
4 calls:
| 6.0ms | (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) |
| 6.0ms | (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) |
| 6.0ms | (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) |
| 4.0ms | (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) |
Compiled 6693 to 2790 computations (58.3% saved)
4 calls:
| 153.0ms | (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) |
| 150.0ms | (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) |
| 149.0ms | (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) |
| 109.0ms | (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) |
Compiled 9834 to 5802 computations (41% saved)
| 1× | egg-herbie |
| 634× | distribute-rgt-in_binary32 |
| 567× | distribute-lft-in_binary32 |
| 287× | associate-*l*_binary32 |
| 225× | associate-*r*_binary32 |
| 196× | div-sub_binary32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 3046 |
| 1 | 230 | 2857 |
| 2 | 683 | 2857 |
| 3 | 2081 | 2857 |
| 4 | 4924 | 2857 |
| 5 | 4954 | 2857 |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 95 | 0 | 95 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 95 | 3 | 98 |
| Status | Error | Program |
| ✓ | 0.0b | (*.f32 (/.f32 1/2 v) (*.f32 (*.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 3121444901730491/4503599627370496 (/.f32 -1 v))))) (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 3121444901730491/4503599627370496 (/.f32 -1 v)))))) (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 3121444901730491/4503599627370496 (/.f32 -1 v))))))) |
| ✓ | 0.0b | (*.f32 (/.f32 1/2 v) (pow.f32 E.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 3121444901730491/4503599627370496))) |
| ▶ | 4.7b | (*.f32 (/.f32 1/2 v) (/.f32 (pow.f32 E.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (pow.f32 E.f32 (-.f32 (/.f32 1 v) 3121444901730491/4503599627370496)))) |
Compiled 2513 to 1144 computations (54.5% saved)
Found 4 expressions with local error:
| 0.1b | (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) |
| 0.1b | (pow.f32 E.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) |
| 2.1b | (/.f32 (pow.f32 E.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (pow.f32 E.f32 (-.f32 (/.f32 1 v) 3121444901730491/4503599627370496))) |
| 3.2b | (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) |
| 1× | rewrite-expression-head |
| 95× | times-frac_binary32 |
| 68× | add-cube-cbrt_binary32 add-sqr-sqrt_binary32 *-un-lft-identity_binary32 |
| 63× | unpow-prod-down_binary32 |
| 32× | unpow-prod-up_binary32 |
| 25× | cancel-sign-sub-inv_binary32 |
4 calls:
| 9.0ms | (/.f32 (pow.f32 E.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (pow.f32 E.f32 (-.f32 (/.f32 1 v) 3121444901730491/4503599627370496))) |
| 6.0ms | (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) |
| 5.0ms | (pow.f32 E.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) |
| 4.0ms | (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) |
Compiled 7188 to 2820 computations (60.8% saved)
4 calls:
| 164.0ms | (/.f32 (pow.f32 E.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (pow.f32 E.f32 (-.f32 (/.f32 1 v) 3121444901730491/4503599627370496))) |
| 140.0ms | (pow.f32 E.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) |
| 106.0ms | (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) |
| 73.0ms | (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) |
Compiled 5784 to 3944 computations (31.8% saved)
| 1× | egg-herbie |
| 311× | cancel-sign-sub-inv_binary32 |
| 281× | times-frac_binary32 |
| 256× | associate-/l*_binary32 |
| 184× | associate-/r*_binary32 |
| 175× | sqr-pow_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 416 | 9861 |
| 1 | 910 | 9151 |
| 2 | 3463 | 9120 |
| 3 | 4774 | 9044 |
| 4 | 4979 | 9044 |
| 5 | 4910 | 9044 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 213 | 2 | 215 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 1 | 2 |
| Total | 215 | 3 | 218 |
| Status | Error | Program |
| 5.0b | (*.f32 (/.f32 1/2 v) (/.f32 (log.f32 (exp.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 E.f32 (-.f32 (/.f32 1 v) 3121444901730491/4503599627370496)))) | |
| 4.7b | (*.f32 (/.f32 1/2 v) (/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (sqrt.f32 (exp.f32 (-.f32 (/.f32 1 v) 3121444901730491/4503599627370496)))) (sqrt.f32 (pow.f32 E.f32 (-.f32 (/.f32 1 v) 3121444901730491/4503599627370496))))) | |
| 0.0b | (*.f32 (/.f32 1/2 v) (pow.f32 E.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 3121444901730491/4503599627370496))) |
Compiled 3403 to 1432 computations (57.9% saved)
Total 0.0b remaining (6.7%)
Threshold costs 0.0b (6.7%)
Compiled 35823 to 24127 computations (32.6% saved)
| 1× | egg-herbie |
| 7× | *-commutative_binary32 +-commutative_binary32 |
| 4× | sub-neg_binary32 |
| 3× | neg-mul-1_binary32 neg-sub0_binary32 |
| 2× | cancel-sign-sub-inv_binary32 distribute-rgt-neg-in_binary32 |
| 1× | distribute-lft-neg-out_binary32 distribute-lft-neg-in_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 94 |
| 1 | 42 | 94 |
| 2 | 51 | 94 |
| 3 | 57 | 94 |
| 4 | 61 | 94 |
| 5 | 62 | 94 |
| 6 | 62 | 94 |
(sort sinTheta_i sinTheta_O)
(sort cosTheta_i cosTheta_O)
Compiled 325 to 200 computations (38.5% saved)
| 1× | intervals |
| 799.0ms | 8000× | body | 128 | valid |
| 386.0ms | 8126× | pre | 128 | true |
| 11.0ms | 126× | body | 128 | nan |
Compiled 214 to 153 computations (28.5% saved)
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