Time bar (total: 6.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 25% | 74.9% | 0.1% | 3 |
| 62.4% | 37.5% | 0.1% | 4 |
| 68.7% | 31.2% | 0.1% | 5 |
| 68.7% | 18.7% | 12.6% | 6 |
| 68.7% | 18.7% | 12.6% | 7 |
| 68.7% | 12.5% | 18.8% | 8 |
| 68.7% | 12.5% | 18.8% | 9 |
| 68.7% | 9.4% | 22% | 10 |
| 68.7% | 9.4% | 22% | 11 |
| 68.7% | 7.8% | 23.5% | 12 |
| 68.7% | 7.8% | 23.5% | 13 |
| 68.7% | 7% | 24.3% | 14 |
Compiled 11 to 7 computations (36.4% saved)
| 1× | intervals |
| 9.0ms | 256× | body | 128 | valid |
| 1.0ms | 22× | body | 128 | overflowed |
Compiled 23 to 15 computations (34.8% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 8 | 13 |
| 2 | 8 | 13 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 1 | 1 |
| Status | Error | Program |
| ▶ | 1.5b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 20 to 12 computations (40% saved)
Found 2 expressions with local error:
| 0.0b | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 1.5b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1× | rewrite-expression-head |
| 23× | add-cube-cbrt_binary64 |
| 10× | add-cbrt-cube_binary64 |
| 8× | add-log-exp_binary64 |
| 8× | pow1_binary64 |
| 8× | add-sqr-sqrt_binary64 |
2 calls:
| 15.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 13.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
Compiled 1271 to 267 computations (79% saved)
2 calls:
| 29.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 14.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
Compiled 1199 to 779 computations (35% saved)
| 1× | egg-herbie |
| 713× | fma-def_binary64 |
| 331× | fma-neg_binary64 |
| 228× | distribute-rgt-in_binary64 |
| 191× | distribute-lft-in_binary64 |
| 190× | associate-/l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 2019 |
| 1 | 500 | 1867 |
| 2 | 2013 | 1839 |
| 3 | 4691 | 1836 |
| 4 | 4995 | 1836 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 64 | 2 | 66 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 64 | 3 | 67 |
| Status | Error | Program |
| ▶ | 11.3b | (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) a) (/.f64 a (+.f64 1 (exp.f64 b)))))) (fma.f64 3/2 (*.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) |
| ✓ | 1.5b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 16.8b | (+.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (/.f64 (*.f64 (exp.f64 (+.f64 b a)) (-.f64 (exp.f64 b) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) |
Compiled 1262 to 555 computations (56% saved)
Found 4 expressions with local error:
| 0.2b | (*.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) |
| 0.2b | (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) a) |
| 2.7b | (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) |
| 7.3b | (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) a) (/.f64 a (+.f64 1 (exp.f64 b)))))) (fma.f64 3/2 (*.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) |
| 1× | rewrite-expression-head |
| 37× | add-cube-cbrt_binary64 |
| 30× | pow1_binary64 |
| 26× | add-sqr-sqrt_binary64 |
| 22× | add-exp-log_binary64 |
| 20× | add-cbrt-cube_binary64 |
4 calls:
| 20.0ms | (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) a) (/.f64 a (+.f64 1 (exp.f64 b)))))) (fma.f64 3/2 (*.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) |
| 17.0ms | (*.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) |
| 17.0ms | (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) a) |
| 17.0ms | (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) |
Compiled 13363 to 8472 computations (36.6% saved)
4 calls:
| 131.0ms | (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) a) (/.f64 a (+.f64 1 (exp.f64 b)))))) (fma.f64 3/2 (*.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) |
| 35.0ms | (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) |
| 30.0ms | (*.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) |
| 27.0ms | (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) a) |
Compiled 4053 to 2807 computations (30.7% saved)
| 1× | egg-herbie |
| 564× | unswap-sqr_binary64 |
| 276× | fma-neg_binary64 |
| 150× | associate-*l*_binary64 |
| 148× | sub-neg_binary64 |
| 143× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 286 | 8630 |
| 1 | 674 | 7795 |
| 2 | 2855 | 7179 |
| 3 | 5169 | 7179 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 127 | 1 | 128 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 128 | 3 | 131 |
| Status | Error | Program |
| 45.4b | (-.f64 (+.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))) (fma.f64 3/2 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2) (/.f64 a (+.f64 1 (*.f64 (exp.f64 b) (+.f64 2 (exp.f64 b))))))) | |
| ▶ | 16.8b | (+.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (/.f64 (*.f64 (exp.f64 (+.f64 b a)) (-.f64 (exp.f64 b) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) |
| ✓ | 1.5b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 6215 to 3872 computations (37.7% saved)
Found 4 expressions with local error:
| 0.8b | (/.f64 (*.f64 (exp.f64 (+.f64 b a)) (-.f64 (exp.f64 b) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) |
| 1.0b | (*.f64 (exp.f64 (+.f64 b a)) (-.f64 (exp.f64 b) (exp.f64 a))) |
| 1.0b | (/.f64 (pow.f64 (exp.f64 a) 3) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) |
| 4.3b | (-.f64 (exp.f64 b) (exp.f64 a)) |
| 1× | rewrite-expression-head |
| 62× | add-cube-cbrt_binary64 |
| 23× | pow1_binary64 |
| 22× | add-sqr-sqrt_binary64 |
| 22× | add-cbrt-cube_binary64 |
| 16× | add-exp-log_binary64 |
4 calls:
| 23.0ms | (/.f64 (*.f64 (exp.f64 (+.f64 b a)) (-.f64 (exp.f64 b) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) |
| 21.0ms | (*.f64 (exp.f64 (+.f64 b a)) (-.f64 (exp.f64 b) (exp.f64 a))) |
| 18.0ms | (/.f64 (pow.f64 (exp.f64 a) 3) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) |
| 16.0ms | (-.f64 (exp.f64 b) (exp.f64 a)) |
Compiled 8298 to 3340 computations (59.7% saved)
4 calls:
| 67.0ms | (/.f64 (*.f64 (exp.f64 (+.f64 b a)) (-.f64 (exp.f64 b) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) |
| 53.0ms | (/.f64 (pow.f64 (exp.f64 a) 3) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) |
| 28.0ms | (*.f64 (exp.f64 (+.f64 b a)) (-.f64 (exp.f64 b) (exp.f64 a))) |
| 19.0ms | (-.f64 (exp.f64 b) (exp.f64 a)) |
Compiled 4786 to 3058 computations (36.1% saved)
| 1× | egg-herbie |
| 489× | fma-neg_binary64 |
| 376× | associate-*r*_binary64 |
| 321× | associate-*l*_binary64 |
| 289× | fma-def_binary64 |
| 219× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 385 | 6165 |
| 1 | 1085 | 5540 |
| 2 | 4832 | 5540 |
| 3 | 5259 | 5540 |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 142 | 0 | 142 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 142 | 3 | 145 |
| Status | Error | Program |
| ▶ | 45.4b | (-.f64 (+.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))) (fma.f64 3/2 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2) (/.f64 a (+.f64 1 (*.f64 (exp.f64 b) (+.f64 2 (exp.f64 b))))))) |
| ✓ | 16.8b | (+.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (/.f64 (*.f64 (exp.f64 (+.f64 b a)) (-.f64 (exp.f64 b) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) |
| ✓ | 1.5b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 5529 to 2763 computations (50% saved)
Found 4 expressions with local error:
| 0.0b | (+.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))) |
| 2.7b | (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) |
| 2.7b | (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) |
| 8.0b | (-.f64 (+.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))) (fma.f64 3/2 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2) (/.f64 a (+.f64 1 (*.f64 (exp.f64 b) (+.f64 2 (exp.f64 b))))))) |
| 1× | rewrite-expression-head |
| 45× | add-cube-cbrt_binary64 |
| 20× | add-cbrt-cube_binary64 |
| 18× | add-exp-log_binary64 |
| 18× | add-sqr-sqrt_binary64 |
| 18× | add-log-exp_binary64 |
4 calls:
| 19.0ms | (-.f64 (+.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))) (fma.f64 3/2 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2) (/.f64 a (+.f64 1 (*.f64 (exp.f64 b) (+.f64 2 (exp.f64 b))))))) |
| 17.0ms | (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) |
| 16.0ms | (+.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))) |
| 15.0ms | (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) |
Compiled 13381 to 7916 computations (40.8% saved)
4 calls:
| 105.0ms | (-.f64 (+.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))) (fma.f64 3/2 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2) (/.f64 a (+.f64 1 (*.f64 (exp.f64 b) (+.f64 2 (exp.f64 b))))))) |
| 64.0ms | (+.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))) |
| 41.0ms | (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) |
| 26.0ms | (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) |
Compiled 4114 to 2810 computations (31.7% saved)
| 1× | egg-herbie |
| 669× | fma-neg_binary64 |
| 245× | unswap-sqr_binary64 |
| 152× | fma-def_binary64 |
| 144× | sub-neg_binary64 |
| 142× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 304 | 9631 |
| 1 | 725 | 8916 |
| 2 | 2970 | 8297 |
| 3 | 4722 | 8224 |
| 4 | 4939 | 8224 |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 121 | 2 | 123 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 122 | 4 | 126 |
| Status | Error | Program |
| 49.7b | (-.f64 (exp.f64 (log.f64 (+.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))))) (fma.f64 3/2 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2) (/.f64 a (+.f64 1 (*.f64 (exp.f64 b) (+.f64 2 (exp.f64 b))))))) | |
| 16.8b | (+.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (/.f64 (*.f64 (exp.f64 (+.f64 b a)) (-.f64 (exp.f64 b) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) | |
| 1.5b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) | |
| 45.4b | (-.f64 (+.f64 (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 a (+.f64 1 (exp.f64 b)))) (fma.f64 3/2 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2) (/.f64 a (+.f64 1 (*.f64 (exp.f64 b) (+.f64 2 (exp.f64 b))))))) |
Compiled 5743 to 3360 computations (41.5% saved)
Total 0.5b remaining (55.4%)
Threshold costs 0.5b (55.4%)
Compiled 82198 to 53163 computations (35.3% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 0 | 0.9994808176958746 | 0.9999999963088964 | 0.9997404070023854 |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 45 |
| 1 | 27 | 45 |
| 2 | 26 | 45 |
Compiled 32 to 22 computations (31.3% saved)
| 1× | intervals |
| 298.0ms | 8000× | body | 128 | valid |
| 19.0ms | 669× | body | 128 | overflowed |
Compiled 196 to 126 computations (35.7% saved)
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