Time bar (total: 22.0s)
| 11.0ms | 256× | body | 80 | valid |
Useful iterations: 2 (10.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 14 |
| 1 | 16 | 13 |
| 2 | 26 | 12 |
| 3 | 32 | 12 |
| done | 32 | 12 |
1 alts after pruning (1 fresh and 0 done)
Merged error: 39.8b
Found 3 expressions with local error:
| 0.0b | (+ (* x x) (* y y)) |
| 0.1b | (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) |
| 37.0b | (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) |
| 21× | add-sqr-sqrt |
| 19× | times-frac |
| 18× | add-cube-cbrt *-un-lft-identity |
| 13× | sqrt-prod |
| 5× | add-exp-log add-cbrt-cube add-log-exp |
| 4× | pow1 |
| 3× | expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* |
| 2× | rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/ |
| 1× | cbrt-undiv +-commutative fma-def frac-2neg sqrt-pow1 pow1/2 sqrt-div div-exp clear-num sum-log |
| 8.0ms | (+ (* x x) (* y y)) |
| 130.0ms | (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) |
| 36.0ms | (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) |
| 46.0ms | (+ (* x x) (* y y)) |
| 69.0ms | (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) |
| 240.0ms | (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) |
Useful iterations: done (2.2s)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 1510 |
| 1 | 307 | 1332 |
| 2 | 933 | 1139 |
| 3 | 3126 | 1133 |
| done | 5001 | 1132 |
7 alts after pruning (7 fresh and 0 done)
Merged error: 18.9b
Found 4 expressions with local error:
| 0.3b | (* (sqrt (/ (sqrt (fma z z (fma x x (pow y 2)))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (fma z z (fma x x (pow y 2)))) (cbrt 3.0)))) |
| 0.4b | (/ (sqrt (fma z z (fma x x (pow y 2)))) (cbrt 3.0)) |
| 36.9b | (sqrt (fma z z (fma x x (pow y 2)))) |
| 36.9b | (sqrt (fma z z (fma x x (pow y 2)))) |
| 150× | sqrt-prod |
| 130× | add-sqr-sqrt |
| 106× | times-frac |
| 64× | add-cube-cbrt *-un-lft-identity |
| 47× | cbrt-prod |
| 43× | associate-*r* |
| 24× | unswap-sqr |
| 13× | associate-*l* |
| 10× | pow1 |
| 8× | add-exp-log |
| 7× | add-cbrt-cube |
| 6× | associate-/r* associate-/l* |
| 4× | expm1-log1p-u sqrt-pow1 pow1/2 sqrt-div log1p-expm1-u add-log-exp |
| 3× | pow-prod-down div-inv |
| 2× | rem-sqrt-square |
| 1× | cbrt-undiv frac-times frac-2neg sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num *-commutative cbrt-unprod |
| 102.0ms | (* (sqrt (/ (sqrt (fma z z (fma x x (pow y 2)))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (fma z z (fma x x (pow y 2)))) (cbrt 3.0)))) |
| 16.0ms | (/ (sqrt (fma z z (fma x x (pow y 2)))) (cbrt 3.0)) |
| 3.0ms | (sqrt (fma z z (fma x x (pow y 2)))) |
| 3.0ms | (sqrt (fma z z (fma x x (pow y 2)))) |
| 497.0ms | (* (sqrt (/ (sqrt (fma z z (fma x x (pow y 2)))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (fma z z (fma x x (pow y 2)))) (cbrt 3.0)))) |
| 331.0ms | (/ (sqrt (fma z z (fma x x (pow y 2)))) (cbrt 3.0)) |
| 137.0ms | (sqrt (fma z z (fma x x (pow y 2)))) |
| 190.0ms | (sqrt (fma z z (fma x x (pow y 2)))) |
Useful iterations: done (3.6s)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 228 | 6194 |
| 1 | 363 | 5765 |
| 2 | 822 | 5581 |
| 3 | 1874 | 5409 |
| done | 5000 | 5387 |
9 alts after pruning (8 fresh and 1 done)
Merged error: 7.1b
Found 2 expressions with local error:
| 0.4b | (/ (sqrt (fma z z (fma x x (pow y 2)))) (* (fabs (cbrt 3.0)) (sqrt (cbrt 3.0)))) |
| 36.9b | (sqrt (fma z z (fma x x (pow y 2)))) |
| 9× | sqrt-prod |
| 8× | add-sqr-sqrt |
| 7× | add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube |
| 6× | times-frac associate-/l* |
| 3× | pow1 |
| 2× | cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp |
| 1× | rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 prod-exp clear-num associate-/r* cbrt-unprod div-inv |
| 19.0ms | (/ (sqrt (fma z z (fma x x (pow y 2)))) (* (fabs (cbrt 3.0)) (sqrt (cbrt 3.0)))) |
| 2.0ms | (sqrt (fma z z (fma x x (pow y 2)))) |
| 1.2s | (/ (sqrt (fma z z (fma x x (pow y 2)))) (* (fabs (cbrt 3.0)) (sqrt (cbrt 3.0)))) |
| 160.0ms | (sqrt (fma z z (fma x x (pow y 2)))) |
Useful iterations: 2 (94.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 977 |
| 1 | 158 | 900 |
| 2 | 433 | 818 |
| 3 | 1427 | 818 |
| 4 | 3756 | 818 |
| done | 5000 | 818 |
15 alts after pruning (13 fresh and 2 done)
Merged error: 7.0b
Found 3 expressions with local error:
| 0.2b | (/ (fma z z (fma x x (pow y 2))) (cbrt 3.0)) |
| 0.5b | (* (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (fma z z (fma x x (pow y 2))) (cbrt 3.0)))) |
| 37.0b | (sqrt (/ (fma z z (fma x x (pow y 2))) (cbrt 3.0))) |
| 89× | add-sqr-sqrt |
| 75× | times-frac sqrt-prod |
| 52× | *-un-lft-identity |
| 48× | add-cube-cbrt |
| 35× | cbrt-prod |
| 25× | associate-*r* |
| 16× | unswap-sqr |
| 10× | associate-*l* |
| 8× | pow1 |
| 7× | add-exp-log |
| 6× | associate-/r* add-cbrt-cube |
| 5× | sqrt-div |
| 4× | div-inv |
| 3× | expm1-log1p-u rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down log1p-expm1-u associate-/l* add-log-exp |
| 1× | cbrt-undiv frac-times frac-2neg sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num *-commutative cbrt-unprod |
| 10.0ms | (/ (fma z z (fma x x (pow y 2))) (cbrt 3.0)) |
| 123.0ms | (* (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (fma z z (fma x x (pow y 2))) (cbrt 3.0)))) |
| 11.0ms | (sqrt (/ (fma z z (fma x x (pow y 2))) (cbrt 3.0))) |
| 147.0ms | (/ (fma z z (fma x x (pow y 2))) (cbrt 3.0)) |
| 452.0ms | (* (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (fma z z (fma x x (pow y 2))) (cbrt 3.0)))) |
| 478.0ms | (sqrt (/ (fma z z (fma x x (pow y 2))) (cbrt 3.0))) |
Useful iterations: done (1.4s)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 3869 |
| 1 | 334 | 3691 |
| 2 | 753 | 3516 |
| 3 | 1840 | 3516 |
| done | 5000 | 3488 |
15 alts after pruning (13 fresh and 2 done)
Merged error: 7.0b
37% (20.0b remaining)
Error of 26.4b against oracle of 6.4b and baseline of 38.1b
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 5.669660250650512e+56 | 1.7629344231922744e+59 | 1.7466332676838354e+59 |
| 9 | -1.6651412823110563e+127 | -7.0065691084106e+119 | -1.9079361298169978e+126 |
Useful iterations: 0 (1.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 51 |
| 1 | 40 | 51 |
| 2 | 42 | 51 |
| done | 42 | 51 |
| 350.0ms | 8000× | body | 80 | valid |