Time bar (total: 10.1s)
| 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)
| 1× | intervals |
| 16.0ms | 256× | body | 128 | valid |
| 3.0ms | 62× | body | 128 | nan |
| 2.0ms | 25× | body | 128 | invalid |
Compiled 44 to 30 computations (31.8% 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 |
| ▶ | 24.5b | (/.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 |
| ✓ | 1.8b | (-.f64 (*.f64 z z) (*.f64 t a)) |
| ✓ | 5.8b | (*.f64 (*.f64 x y) z) |
| ✓ | 7.7b | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| ✓ | 25.4b | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
4 calls:
| 217.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 43.0ms | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 10.0ms | (-.f64 (*.f64 z z) (*.f64 t a)) |
| 9.0ms | (*.f64 (*.f64 x y) z) |
| 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:
| 7.0ms | (/.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 |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 179 | 11 | 190 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 180 | 11 | 191 |
| Status | Error | Program |
| 24.6b | (*.f64 (*.f64 (*.f64 x y) z) (/.f64 1 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))) | |
| 36.0b | (/.f64 (*.f64 (*.f64 x y) z) z) | |
| ▶ | 23.1b | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) (/.f64 z (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) |
| 35.4b | (*.f64 y x) | |
| 24.7b | (/.f64 1 (/.f64 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (*.f64 (*.f64 x y) z))) | |
| 27.9b | (/.f64 (*.f64 (*.f64 x y) z) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) | |
| 36.6b | (neg.f64 (*.f64 y x)) | |
| 44.0b | (*.f64 y (*.f64 (sqrt.f64 (/.f64 -1 (*.f64 a t))) (*.f64 z x))) | |
| 25.6b | (*.f64 (*.f64 y (*.f64 z x)) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 z 2) (*.f64 a t))))) | |
| 36.0b | (/.f64 (*.f64 (*.f64 x y) z) (neg.f64 z)) | |
| 24.7b | (/.f64 (*.f64 (*.f64 x y) z) (*.f64 (fabs.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))))) |
Compiled 5106 to 1583 computations (69% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (/.f64 z (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) |
| ✓ | 0.7b | (/.f64 (*.f64 y x) (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) |
| ✓ | 3.8b | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) (/.f64 z (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) |
| ✓ | 12.1b | (sqrt.f64 (neg.f64 (*.f64 a t))) |
4 calls:
| 589.0ms | (/.f64 (*.f64 y x) (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) |
| 522.0ms | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) (/.f64 z (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) |
| 352.0ms | (/.f64 z (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) |
| 18.0ms | (sqrt.f64 (neg.f64 (*.f64 a t))) |
| 1× | rewrite-expression-head |
| 50× | times-frac_binary64 |
| 49× | add-sqr-sqrt_binary64 |
| 40× | *-un-lft-identity_binary64 |
| 40× | add-cube-cbrt_binary64 |
| 37× | sqrt-prod_binary64 |
4 calls:
| 11.0ms | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) (/.f64 z (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) |
| 4.0ms | (/.f64 (*.f64 y x) (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) |
| 3.0ms | (/.f64 z (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) |
| 2.0ms | (sqrt.f64 (neg.f64 (*.f64 a t))) |
| 1× | egg-herbie |
| 664× | fma-def_binary64 |
| 284× | cancel-sign-sub-inv_binary64 |
| 269× | fma-neg_binary64 |
| 246× | associate-*l*_binary64 |
| 245× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 320 | 7488 |
| 1 | 815 | 6099 |
| 2 | 2996 | 6079 |
| 3 | 4548 | 6073 |
| 4 | 4941 | 6073 |
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 238 | 2 | 240 |
| Fresh | 1 | 9 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 239 | 12 | 251 |
| Status | Error | Program |
| ▶ | 24.6b | (*.f64 (*.f64 (*.f64 x y) z) (/.f64 1 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))) |
| 36.0b | (/.f64 (*.f64 (*.f64 x y) z) z) | |
| ✓ | 23.1b | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) (/.f64 z (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) |
| 35.4b | (*.f64 y x) | |
| 25.6b | (*.f64 (*.f64 y (*.f64 z x)) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 z 2) (*.f64 a t))))) | |
| 28.1b | (/.f64 (*.f64 y (*.f64 z x)) (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)) | |
| 36.0b | (/.f64 (*.f64 (*.f64 x y) z) (neg.f64 z)) | |
| 26.3b | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) (/.f64 z (sqrt.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z)))) | |
| 24.7b | (/.f64 1 (/.f64 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (*.f64 (*.f64 x y) z))) | |
| 27.9b | (/.f64 (*.f64 (*.f64 x y) z) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) | |
| 36.6b | (neg.f64 (*.f64 y x)) | |
| 24.7b | (/.f64 (*.f64 (*.f64 x y) z) (*.f64 (fabs.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))))) |
Compiled 8744 to 1736 computations (80.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 1.8b | (-.f64 (*.f64 z z) (*.f64 t a)) | |
| 5.8b | (*.f64 (*.f64 x y) z) | |
| ✓ | 7.7b | (*.f64 (*.f64 (*.f64 x y) z) (/.f64 1 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))) |
| 25.4b | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
1 calls:
| 209.0ms | (*.f64 (*.f64 (*.f64 x y) z) (/.f64 1 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))) |
| 1× | rewrite-expression-head |
| 40× | add-exp-log_binary64 |
| 24× | associate-*r*_binary64 |
| 24× | prod-exp_binary64 |
| 22× | add-cbrt-cube_binary64 |
| 18× | times-frac_binary64 |
1 calls:
| 12.0ms | (*.f64 (*.f64 (*.f64 x y) z) (/.f64 1 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))) |
| 1× | egg-herbie |
| 869× | fma-def_binary64 |
| 389× | associate-*l*_binary64 |
| 373× | associate-*r*_binary64 |
| 280× | times-frac_binary64 |
| 208× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 3169 |
| 1 | 698 | 2843 |
| 2 | 3155 | 2830 |
| 3 | 4805 | 2828 |
| 4 | 5219 | 2828 |
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 215 | 0 | 215 |
| Fresh | 0 | 10 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 215 | 12 | 227 |
| Status | Error | Program |
| ✓ | 24.6b | (*.f64 (*.f64 (*.f64 x y) z) (/.f64 1 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))) |
| 36.0b | (/.f64 (*.f64 (*.f64 x y) z) z) | |
| ✓ | 23.1b | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) (/.f64 z (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) |
| 35.4b | (*.f64 y x) | |
| 25.6b | (*.f64 (*.f64 y (*.f64 z x)) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 z 2) (*.f64 a t))))) | |
| 28.1b | (/.f64 (*.f64 y (*.f64 z x)) (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)) | |
| 36.0b | (/.f64 (*.f64 (*.f64 x y) z) (neg.f64 z)) | |
| 26.3b | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) (/.f64 z (sqrt.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z)))) | |
| 24.7b | (/.f64 1 (/.f64 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (*.f64 (*.f64 x y) z))) | |
| 27.9b | (/.f64 (*.f64 (*.f64 x y) z) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) | |
| 36.6b | (neg.f64 (*.f64 y x)) | |
| ▶ | 24.7b | (/.f64 (*.f64 (*.f64 x y) z) (*.f64 (fabs.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))))) |
Compiled 6238 to 2136 computations (65.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 1.8b | (-.f64 (*.f64 z z) (*.f64 a t)) |
| 5.8b | (*.f64 (*.f64 x y) z) | |
| ✓ | 7.7b | (/.f64 (*.f64 (*.f64 x y) z) (*.f64 (fabs.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))))) |
| ✓ | 26.2b | (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t))) |
3 calls:
| 1.5s | (/.f64 (*.f64 (*.f64 x y) z) (*.f64 (fabs.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))))) |
| 56.0ms | (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t))) |
| 9.0ms | (-.f64 (*.f64 z z) (*.f64 a t)) |
| 1× | rewrite-expression-head |
| 24× | add-cbrt-cube_binary64 |
| 24× | add-exp-log_binary64 |
| 14× | cbrt-div_binary64 |
| 9× | cbrt-unprod_binary64 |
| 9× | prod-exp_binary64 |
3 calls:
| 15.0ms | (/.f64 (*.f64 (*.f64 x y) z) (*.f64 (fabs.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))))) |
| 3.0ms | (-.f64 (*.f64 z z) (*.f64 a t)) |
| 2.0ms | (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t))) |
| 1× | egg-herbie |
| 795× | times-frac_binary64 |
| 501× | fma-def_binary64 |
| 460× | associate-/r*_binary64 |
| 450× | associate-/l*_binary64 |
| 170× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 508 | 9529 |
| 1 | 1514 | 8476 |
| 2 | 4762 | 8472 |
| 3 | 4991 | 8472 |
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 329 | 0 | 329 |
| Fresh | 0 | 9 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 329 | 12 | 341 |
| Status | Error | Program |
| ✓ | 24.6b | (*.f64 (*.f64 (*.f64 x y) z) (/.f64 1 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))) |
| 36.0b | (/.f64 (*.f64 (*.f64 x y) z) z) | |
| ✓ | 23.1b | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) (/.f64 z (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) |
| 35.4b | (*.f64 y x) | |
| 25.6b | (*.f64 (*.f64 y (*.f64 z x)) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 z 2) (*.f64 a t))))) | |
| 28.1b | (/.f64 (*.f64 y (*.f64 z x)) (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)) | |
| 36.0b | (/.f64 (*.f64 (*.f64 x y) z) (neg.f64 z)) | |
| 26.3b | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) (/.f64 z (sqrt.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z)))) | |
| 24.7b | (/.f64 1 (/.f64 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (*.f64 (*.f64 x y) z))) | |
| 27.9b | (/.f64 (*.f64 (*.f64 x y) z) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) | |
| 36.6b | (neg.f64 (*.f64 y x)) | |
| ✓ | 24.7b | (/.f64 (*.f64 (*.f64 x y) z) (*.f64 (fabs.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))))) |
Compiled 16185 to 6070 computations (62.5% saved)
Total 3.5b remaining (50.3%)
Threshold costs 0b (0%)
Compiled 13931 to 8360 computations (40% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 2.3923126969625746e+24 | 5.033192893422879e+25 | 4.967878028669063e+25 |
| 9 | -1.0897158055980587e+96 | -7.83638370877499e+89 | -1.0422014424664703e+91 |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
| 9× | *-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 | 24 | 61 |
| 1 | 39 | 61 |
| 2 | 55 | 61 |
| 3 | 66 | 61 |
| 4 | 72 | 61 |
| 5 | 73 | 61 |
| 6 | 73 | 61 |
(sort t a)
(sort x y)
Compiled 225 to 105 computations (53.3% saved)
| 1× | intervals |
| 538.0ms | 8000× | body | 128 | valid |
| 124.0ms | 2146× | body | 128 | nan |
| 57.0ms | 874× | body | 128 | invalid |
Compiled 300 to 187 computations (37.7% saved)
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