Time bar (total: 13.9s)
| 19.0ms | 276× | body | 80 | valid |
Useful iterations: 1 (2.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 15 |
| 1 | 21 | 14 |
| 2 | 40 | 14 |
| 3 | 56 | 14 |
| 4 | 76 | 14 |
| 5 | 90 | 14 |
| 6 | 94 | 14 |
| done | 94 | 14 |
1 alts after pruning (1 fresh and 0 done)
Merged error: 26.8b
Found 3 expressions with local error:
| 0.0b | (fma y.re y.re (* y.im y.im)) |
| 0.2b | (- (* x.im y.re) (* x.re y.im)) |
| 26.3b | (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))) |
| 11× | add-sqr-sqrt add-cube-cbrt *-un-lft-identity |
| 9× | times-frac |
| 5× | add-exp-log add-cbrt-cube add-log-exp |
| 3× | pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* |
| 2× | flip3-- flip-- associate-/l/ |
| 1× | cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num fma-udef div-inv |
| 0.0ms | (fma y.re y.re (* y.im y.im)) |
| 17.0ms | (- (* x.im y.re) (* x.re y.im)) |
| 22.0ms | (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))) |
| 59.0ms | (fma y.re y.re (* y.im y.im)) |
| 53.0ms | (- (* x.im y.re) (* x.re y.im)) |
| 150.0ms | (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))) |
Useful iterations: done (697.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 1039 |
| 1 | 234 | 1011 |
| 2 | 1158 | 894 |
| done | 5000 | 892 |
10 alts after pruning (10 fresh and 0 done)
Merged error: 17.0b
Found 3 expressions with local error:
| 0.2b | (- (* x.im y.re) (* x.re y.im)) |
| 0.3b | (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) |
| 16.6b | (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) |
| 42× | add-sqr-sqrt |
| 34× | times-frac |
| 27× | add-exp-log *-un-lft-identity |
| 25× | add-cube-cbrt |
| 17× | add-cbrt-cube |
| 13× | associate-*r* associate-*l* |
| 9× | div-exp |
| 8× | prod-exp |
| 6× | unswap-sqr |
| 5× | pow1 cbrt-undiv add-log-exp |
| 4× | cbrt-unprod |
| 3× | expm1-log1p-u associate-/r* log1p-expm1-u div-inv associate-/l* |
| 2× | rec-exp flip3-- 1-exp flip-- associate-/l/ |
| 1× | frac-times sub-neg frac-2neg fma-neg diff-log div-sub associate-*r/ prod-diff pow-prod-down associate-*l/ clear-num *-commutative |
| 17.0ms | (- (* x.im y.re) (* x.re y.im)) |
| 45.0ms | (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) |
| 42.0ms | (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) |
| 74.0ms | (- (* x.im y.re) (* x.re y.im)) |
| 264.0ms | (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) |
| 187.0ms | (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) |
Useful iterations: done (2.1s)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 2165 |
| 1 | 489 | 2030 |
| 2 | 2579 | 1779 |
| done | 5001 | 1765 |
11 alts after pruning (11 fresh and 0 done)
Merged error: 6.2b
Found 3 expressions with local error:
| 0.0b | (fma (- y.im) x.re (* y.re x.im)) |
| 0.1b | (/ (/ (fma (- y.im) x.re (* y.re x.im)) (hypot y.re y.im)) (hypot y.re y.im)) |
| 16.6b | (/ (fma (- y.im) x.re (* y.re x.im)) (hypot y.re y.im)) |
| 84× | times-frac |
| 53× | add-sqr-sqrt add-cube-cbrt *-un-lft-identity |
| 16× | associate-/l* |
| 10× | add-exp-log add-cbrt-cube |
| 6× | associate-/r* div-inv |
| 4× | cbrt-undiv div-exp |
| 3× | pow1 expm1-log1p-u log1p-expm1-u add-log-exp |
| 2× | frac-2neg clear-num |
| 1× | fma-udef associate-/l/ |
| 1.0ms | (fma (- y.im) x.re (* y.re x.im)) |
| 23.0ms | (/ (/ (fma (- y.im) x.re (* y.re x.im)) (hypot y.re y.im)) (hypot y.re y.im)) |
| 10.0ms | (/ (fma (- y.im) x.re (* y.re x.im)) (hypot y.re y.im)) |
| 75.0ms | (fma (- y.im) x.re (* y.re x.im)) |
| 169.0ms | (/ (/ (fma (- y.im) x.re (* y.re x.im)) (hypot y.re y.im)) (hypot y.re y.im)) |
| 148.0ms | (/ (fma (- y.im) x.re (* y.re x.im)) (hypot y.re y.im)) |
Useful iterations: done (1.0s)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 2651 |
| 1 | 353 | 2592 |
| 2 | 1611 | 2411 |
| done | 5000 | 2365 |
11 alts after pruning (10 fresh and 1 done)
Merged error: 2.3b
Found 4 expressions with local error:
| 0.0b | (sqrt (hypot y.re y.im)) |
| 0.1b | (/ (/ (/ (fma (- y.im) x.re (* y.re x.im)) (sqrt (hypot y.re y.im))) (sqrt (hypot y.re y.im))) (hypot y.re y.im)) |
| 7.9b | (/ (fma (- y.im) x.re (* y.re x.im)) (sqrt (hypot y.re y.im))) |
| 8.8b | (/ (/ (fma (- y.im) x.re (* y.re x.im)) (sqrt (hypot y.re y.im))) (sqrt (hypot y.re y.im))) |
| 1644× | times-frac |
| 787× | add-sqr-sqrt |
| 786× | add-cube-cbrt *-un-lft-identity |
| 627× | sqrt-prod |
| 161× | associate-/l* |
| 38× | div-inv |
| 20× | add-exp-log add-cbrt-cube |
| 15× | associate-/r* |
| 10× | cbrt-undiv div-exp |
| 5× | pow1 |
| 4× | expm1-log1p-u log1p-expm1-u add-log-exp |
| 3× | frac-2neg clear-num |
| 2× | associate-/l/ |
| 1× | rem-sqrt-square sqrt-pow1 pow1/2 |
| 2.0ms | (sqrt (hypot y.re y.im)) |
| 65.0ms | (/ (/ (/ (fma (- y.im) x.re (* y.re x.im)) (sqrt (hypot y.re y.im))) (sqrt (hypot y.re y.im))) (hypot y.re y.im)) |
| 7.0ms | (/ (fma (- y.im) x.re (* y.re x.im)) (sqrt (hypot y.re y.im))) |
| 31.0ms | (/ (/ (fma (- y.im) x.re (* y.re x.im)) (sqrt (hypot y.re y.im))) (sqrt (hypot y.re y.im))) |
| 109.0ms | (sqrt (hypot y.re y.im)) |
| 180.0ms | (/ (/ (/ (fma (- y.im) x.re (* y.re x.im)) (sqrt (hypot y.re y.im))) (sqrt (hypot y.re y.im))) (hypot y.re y.im)) |
| 224.0ms | (/ (fma (- y.im) x.re (* y.re x.im)) (sqrt (hypot y.re y.im))) |
| 194.0ms | (/ (/ (fma (- y.im) x.re (* y.re x.im)) (sqrt (hypot y.re y.im))) (sqrt (hypot y.re y.im))) |
Useful iterations: done (1.3s)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 847 | 31408 |
| 1 | 2089 | 28381 |
| done | 5000 | 27140 |
11 alts after pruning (9 fresh and 2 done)
Merged error: 2.3b
25.7% (10.2b remaining)
Error of 12.6b against oracle of 2.3b and baseline of 16.1b
| Iters | Range | Point | |
|---|---|---|---|
| 10 | 1.4317325747908352e+118 | 8.951855089679279e+128 | 3.5377160840176096e+123 |
| 6 | -3.624907100826712e+129 | -4.093952998244274e+128 | -2.3523280669470315e+129 |
Useful iterations: 0 (1.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 34 |
| 1 | 21 | 34 |
| done | 21 | 34 |
| 827.0ms | 8396× | body | 80 | valid |