Time bar (total: 11.5s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 0% | 99.8% | 0.2% | 8 |
| 0% | 99.8% | 0.2% | 9 |
| 1.6% | 98.2% | 0.2% | 10 |
| 3.1% | 90.4% | 6.5% | 11 |
| 9.2% | 84.4% | 6.5% | 12 |
| 13% | 80.6% | 6.5% | 13 |
| 24.8% | 68.7% | 6.5% | 14 |
Compiled 20 to 13 computations (35% saved)
(sort x y)
(sort t a)
| 1.2s | 8256× | body | 128 | valid |
| 421.0ms | 3090× | body | 128 | invalid |
Compiled 59 to 38 computations (35.6% saved)
| 1× | egg-herbie |
| 1034× | fma-def_binary64 |
| 336× | fma-neg_binary64 |
| 138× | distribute-rgt-in_binary64 |
| 130× | cancel-sign-sub-inv_binary64 |
| 128× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 21 |
| 1 | 26 | 21 |
| 2 | 52 | 21 |
| 3 | 87 | 21 |
| 4 | 128 | 21 |
| 5 | 161 | 21 |
| 6 | 203 | 21 |
| 7 | 247 | 21 |
| 8 | 464 | 21 |
| 9 | 822 | 21 |
| 10 | 1234 | 21 |
| 11 | 1169 | 21 |
| 12 | 1237 | 21 |
| 13 | 1311 | 21 |
| 14 | 1375 | 21 |
| 15 | 1375 | 21 |
| 16 | 1282 | 21 |
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 |
| ▶ | 24.3b | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
Compiled 57 to 36 computations (36.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 1.0b | (-.f64 (*.f64 z z) (*.f64 t a)) |
| ✓ | 6.9b | (*.f64 (*.f64 x y) z) |
| ✓ | 9.2b | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| ✓ | 24.2b | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
4 calls:
| 207.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 42.0ms | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 10.0ms | (*.f64 (*.f64 x y) z) |
| 9.0ms | (-.f64 (*.f64 z z) (*.f64 t a)) |
| 1× | rewrite-expression-head |
| 18× | add-cbrt-cube_binary64 |
| 18× | add-exp-log_binary64 |
| 11× | add-sqr-sqrt_binary64 |
| 10× | *-un-lft-identity_binary64 |
| 10× | add-cube-cbrt_binary64 |
4 calls:
| 8.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 4.0ms | (*.f64 (*.f64 x y) z) |
| 3.0ms | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 3.0ms | (-.f64 (*.f64 z z) (*.f64 t a)) |
| 1× | egg-herbie |
| 731× | fma-def_binary64 |
| 379× | times-frac_binary64 |
| 318× | associate-*r*_binary64 |
| 293× | associate-*l*_binary64 |
| 277× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 4463 |
| 1 | 842 | 4196 |
| 2 | 3899 | 4138 |
| 3 | 4961 | 4138 |
| 4 | 4976 | 4138 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 182 | 8 | 190 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 183 | 8 | 191 |
| Status | Error | Program |
| ▶ | 24.0b | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z)) |
| 37.0b | (neg.f64 (*.f64 y x)) | |
| 35.5b | (*.f64 y x) | |
| 44.6b | (*.f64 y (*.f64 (sqrt.f64 (/.f64 -1 (*.f64 a t))) (*.f64 z x))) | |
| 24.3b | (*.f64 (*.f64 (*.f64 x y) z) (/.f64 1 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))) | |
| 24.3b | (*.f64 (/.f64 (*.f64 y x) (fabs.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t))))) (/.f64 z (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))))) | |
| 25.4b | (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| 24.9b | (/.f64 (*.f64 y (*.f64 z x)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
Compiled 4988 to 1507 computations (69.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z) |
| ✓ | 3.4b | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z)) |
| ✓ | 12.8b | (sqrt.f64 (neg.f64 (*.f64 a t))) |
3 calls:
| 517.0ms | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z)) |
| 165.0ms | (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z) |
| 21.0ms | (sqrt.f64 (neg.f64 (*.f64 a t))) |
| 1× | rewrite-expression-head |
| 40× | times-frac_binary64 |
| 27× | add-sqr-sqrt_binary64 |
| 26× | *-un-lft-identity_binary64 |
| 26× | add-cube-cbrt_binary64 |
| 17× | add-cbrt-cube_binary64 |
3 calls:
| 6.0ms | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z)) |
| 2.0ms | (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z) |
| 1.0ms | (sqrt.f64 (neg.f64 (*.f64 a t))) |
| 1× | egg-herbie |
| 641× | associate-/r/_binary64 |
| 607× | associate-*r/_binary64 |
| 266× | fma-def_binary64 |
| 200× | cancel-sign-sub-inv_binary64 |
| 157× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 4134 |
| 1 | 654 | 3630 |
| 2 | 2402 | 3587 |
| 3 | 5206 | 3587 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 173 | 2 | 175 |
| Fresh | 0 | 7 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 174 | 9 | 183 |
| Status | Error | Program |
| 24.8b | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z)) | |
| 25.4b | (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| 37.0b | (neg.f64 (*.f64 y x)) | |
| 35.5b | (*.f64 y x) | |
| 44.6b | (*.f64 y (*.f64 (sqrt.f64 (/.f64 -1 (*.f64 a t))) (*.f64 z x))) | |
| 24.3b | (*.f64 (*.f64 (*.f64 x y) z) (/.f64 1 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))) | |
| 24.3b | (*.f64 (/.f64 (*.f64 y x) (fabs.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t))))) (/.f64 z (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))))) | |
| ▶ | 23.2b | (/.f64 x (/.f64 (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z) y)) |
| 24.9b | (/.f64 (*.f64 y (*.f64 z x)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
Compiled 4705 to 1289 computations (72.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.1b | (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z) | |
| ✓ | 1.7b | (/.f64 (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z) y) |
| ✓ | 1.8b | (/.f64 x (/.f64 (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z) y)) |
| 12.8b | (sqrt.f64 (neg.f64 (*.f64 a t))) |
2 calls:
| 513.0ms | (/.f64 x (/.f64 (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z) y)) |
| 209.0ms | (/.f64 (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z) y) |
| 1× | rewrite-expression-head |
| 468× | times-frac_binary64 |
| 228× | *-un-lft-identity_binary64 |
| 228× | add-sqr-sqrt_binary64 |
| 228× | add-cube-cbrt_binary64 |
| 46× | associate-/r*_binary64 |
2 calls:
| 9.0ms | (/.f64 x (/.f64 (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z) y)) |
| 7.0ms | (/.f64 (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) z) y) |
| 1× | egg-herbie |
| 697× | associate-/r/_binary64 |
| 529× | associate-/l/_binary64 |
| 381× | associate-*l/_binary64 |
| 356× | *-commutative_binary64 |
| 228× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 572 | 13139 |
| 1 | 1390 | 12128 |
| 2 | 4728 | 12118 |
| 3 | 4999 | 12118 |
| 4 | 4980 | 12118 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 610 | 2 | 612 |
| Fresh | 1 | 7 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 612 | 9 | 621 |
| Status | Error | Program |
| 24.3b | (*.f64 (*.f64 (*.f64 x y) z) (/.f64 1 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))) | |
| 35.6b | (/.f64 x (/.f64 1 y)) | |
| 37.0b | (neg.f64 (*.f64 y x)) | |
| 35.5b | (*.f64 y x) | |
| 44.6b | (*.f64 y (*.f64 (sqrt.f64 (/.f64 -1 (*.f64 a t))) (*.f64 z x))) | |
| 24.3b | (*.f64 (/.f64 (*.f64 y x) (fabs.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t))))) (/.f64 z (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))))) | |
| 24.8b | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z)) | |
| ▶ | 24.3b | (/.f64 x (/.f64 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z) y)) |
| 24.9b | (/.f64 (*.f64 y (*.f64 z x)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
Compiled 18567 to 3397 computations (81.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z) |
| ✓ | 0.2b | (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) |
| ✓ | 1.7b | (/.f64 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z) y) |
| ✓ | 1.8b | (/.f64 x (/.f64 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z) y)) |
4 calls:
| 517.0ms | (/.f64 x (/.f64 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z) y)) |
| 219.0ms | (/.f64 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z) y) |
| 168.0ms | (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z) |
| 17.0ms | (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) |
| 1× | rewrite-expression-head |
| 477× | times-frac_binary64 |
| 254× | add-sqr-sqrt_binary64 |
| 244× | *-un-lft-identity_binary64 |
| 244× | add-cube-cbrt_binary64 |
| 49× | associate-/r*_binary64 |
4 calls:
| 9.0ms | (/.f64 x (/.f64 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z) y)) |
| 6.0ms | (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) |
| 4.0ms | (/.f64 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z) y) |
| 2.0ms | (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z) |
| 1× | egg-herbie |
| 695× | associate-/r/_binary64 |
| 529× | associate-/l/_binary64 |
| 414× | associate-*l/_binary64 |
| 259× | associate-*r/_binary64 |
| 255× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 695 | 15587 |
| 1 | 1732 | 14439 |
| 2 | 4936 | 14431 |
| 3 | 4983 | 14431 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 664 | 3 | 667 |
| Fresh | 2 | 6 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 666 | 10 | 676 |
| Status | Error | Program |
| 24.9b | (/.f64 (*.f64 y (*.f64 z x)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| 24.4b | (*.f64 (/.f64 x (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z)) y) | |
| 37.0b | (neg.f64 (*.f64 y x)) | |
| 35.5b | (*.f64 y x) | |
| 44.6b | (*.f64 y (*.f64 (sqrt.f64 (/.f64 -1 (*.f64 a t))) (*.f64 z x))) | |
| 35.6b | (/.f64 x (/.f64 1 y)) | |
| 42.4b | (/.f64 x (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 t)) z) (sqrt.f64 a)) y)) | |
| 41.9b | (/.f64 x (*.f64 (/.f64 (sqrt.f64 (neg.f64 t)) (*.f64 y z)) (sqrt.f64 a))) | |
| 24.8b | (/.f64 (*.f64 x y) (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z)) | |
| ✓ | 24.3b | (/.f64 x (/.f64 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z) z) y)) |
Compiled 20912 to 3958 computations (81.1% saved)
Total 6.3b remaining (94.7%)
Threshold costs 0b (0%)
Compiled 26128 to 15687 computations (40% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 4 | 1.2989047507070077e+138 | 8.459611311231945e+143 | 1.2689282843189357e+142 |
| 7 | 1.2104245460289898e-173 | 4.677002156473703e-172 | 1.2271992071220414e-173 |
| 8 | 3.777965263235588e-262 | 1.2197554429266104e-257 | 1.1954013876901866e-257 |
| 8 | -2.3747563862881755e-35 | -1.3053004514730204e-39 | -1.2154716544061854e-37 |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 7× | +-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 137 |
| 1 | 79 | 137 |
| 2 | 95 | 137 |
| 3 | 104 | 137 |
| 4 | 107 | 137 |
| 5 | 106 | 137 |
Compiled 712 to 426 computations (40.2% saved)
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