Time bar (total: 35.9s)
| 23.0ms | 192× | body | 80 | valid |
| 17.0ms | 23× | body | 1280 | valid |
| 14.0ms | 25× | body | 640 | valid |
| 10.0ms | 256× | pre | 80 | true |
| 4.0ms | 10× | body | 320 | valid |
| 1.0ms | 6× | body | 160 | valid |
| Iter | Nodes |
|---|---|
| 4 | 2315 |
| 3 | 458 |
| 2 | 99 |
| 1 | 32 |
| 0 | 16 |
2 alts after pruning (2 fresh and 0 done)
Merged error: 25.5b
Found 3 expressions with local error:
| 0.0b | (* (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha))) |
| 1.6b | (+ (/ (* (+ beta alpha) (- beta alpha)) (fma 2.0 (fma 2 i (+ beta alpha)) (* (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha))))) 1.0) |
| 24.0b | (/ (* (+ beta alpha) (- beta alpha)) (fma 2.0 (fma 2 i (+ beta alpha)) (* (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha))))) |
| 13× | add-sqr-sqrt *-un-lft-identity |
| 11× | add-cube-cbrt |
| 10× | pow1 add-cbrt-cube add-exp-log |
| 8× | associate-/l/ |
| 7× | fma-def |
| 6× | times-frac |
| 5× | add-log-exp |
| 4× | frac-times flip3-+ flip-+ |
| 3× | expm1-log1p-u associate-/r* flip3-- swap-sqr associate-*r* associate-*l* insert-posit16 log1p-expm1-u flip-- |
| 2× | cbrt-undiv div-exp associate-*l/ prod-exp associate-*r/ cbrt-unprod fma-udef div-inv |
| 1× | pow2 distribute-rgt-in +-commutative clear-num sum-log frac-2neg distribute-lft-in pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up distribute-lft-out associate-/l* unswap-sqr |
| 12.0ms | (* (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha))) |
| 27.0ms | (+ (/ (* (+ beta alpha) (- beta alpha)) (fma 2.0 (fma 2 i (+ beta alpha)) (* (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha))))) 1.0) |
| 22.0ms | (/ (* (+ beta alpha) (- beta alpha)) (fma 2.0 (fma 2 i (+ beta alpha)) (* (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha))))) |
| 84.0ms | (* (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha))) |
| 248.0ms | (+ (/ (* (+ beta alpha) (- beta alpha)) (fma 2.0 (fma 2 i (+ beta alpha)) (* (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha))))) 1.0) |
| 381.0ms | (/ (* (+ beta alpha) (- beta alpha)) (fma 2.0 (fma 2 i (+ beta alpha)) (* (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha))))) |
| Iter | Nodes |
|---|---|
| 3 | 8196 |
| 2 | 1683 |
| 1 | 473 |
| 0 | 165 |
9 alts after pruning (9 fresh and 0 done)
Merged error: 14.6b
Found 4 expressions with local error:
| 0.1b | (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) |
| 0.1b | (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) |
| 1.6b | (+ (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) 1.0) |
| 11.5b | (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) |
| 149× | *-un-lft-identity |
| 131× | frac-times |
| 90× | times-frac |
| 89× | add-sqr-sqrt |
| 77× | associate-*l/ |
| 65× | associate-*r/ |
| 63× | cbrt-div |
| 62× | associate-*r* |
| 47× | distribute-lft-out |
| 45× | add-cube-cbrt |
| 44× | associate-*l* |
| 28× | add-cbrt-cube add-exp-log |
| 10× | distribute-lft-out-- difference-of-squares |
| 8× | pow1 cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod unswap-sqr |
| 6× | add-log-exp |
| 5× | flip3-+ flip-+ |
| 4× | expm1-log1p-u fma-def insert-posit16 log1p-expm1-u div-inv |
| 2× | cbrt-prod pow-prod-down *-commutative |
| 1× | +-commutative sum-log pow1/3 pow3 rem-cbrt-cube |
| 92.0ms | (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) |
| 89.0ms | (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) |
| 21.0ms | (+ (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) 1.0) |
| 803.0ms | (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) |
| 356.0ms | (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) |
| 319.0ms | (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) |
| 496.0ms | (+ (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) 1.0) |
| 398.0ms | (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) |
| Iter | Nodes |
|---|---|
| 2 | 4481 |
| 1 | 1172 |
| 0 | 414 |
7 alts after pruning (7 fresh and 0 done)
Merged error: 6.7b
Found 4 expressions with local error:
| 0.1b | (exp (log (+ (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) 1.0))) |
| 1.6b | (+ (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) 1.0) |
| 2.8b | (log (+ (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) 1.0)) |
| 11.5b | (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) |
| 129× | frac-times |
| 75× | associate-*l/ |
| 63× | cbrt-div associate-*r/ |
| 14× | *-un-lft-identity |
| 8× | add-sqr-sqrt log-prod add-cube-cbrt |
| 6× | pow1 add-log-exp |
| 5× | add-exp-log |
| 4× | expm1-log1p-u log-div exp-prod fma-def add-cbrt-cube exp-sum insert-posit16 log1p-expm1-u |
| 3× | flip3-+ flip-+ distribute-lft-out |
| 2× | cbrt-prod exp-diff log-pow |
| 1× | +-commutative sum-log pow1/3 rem-log-exp pow3 rem-cbrt-cube rem-exp-log |
| 30.0ms | (exp (log (+ (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) 1.0))) |
| 15.0ms | (+ (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) 1.0) |
| 26.0ms | (log (+ (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) 1.0)) |
| 853.0ms | (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) |
| 455.0ms | (exp (log (+ (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) 1.0))) |
| 483.0ms | (+ (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) 1.0) |
| 1.1s | (log (+ (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) 1.0)) |
| 375.0ms | (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) |
| Iter | Nodes |
|---|---|
| 2 | 3373 |
| 1 | 914 |
| 0 | 364 |
9 alts after pruning (9 fresh and 0 done)
Merged error: 4.3b
Found 4 expressions with local error:
| 0.1b | (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) |
| 1.6b | (log (exp (+ (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) 1.0))) |
| 1.6b | (+ (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) 1.0) |
| 11.5b | (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) |
| 130× | frac-times |
| 82× | *-un-lft-identity |
| 76× | associate-*l/ |
| 64× | associate-*r/ |
| 63× | cbrt-div |
| 49× | add-sqr-sqrt |
| 45× | times-frac |
| 31× | associate-*r* |
| 27× | add-cube-cbrt |
| 25× | distribute-lft-out |
| 22× | associate-*l* |
| 16× | add-cbrt-cube add-exp-log |
| 7× | pow1 |
| 6× | add-log-exp |
| 5× | log-pow distribute-lft-out-- difference-of-squares |
| 4× | expm1-log1p-u cbrt-undiv log-prod exp-prod fma-def div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 log1p-expm1-u unswap-sqr |
| 3× | flip3-+ flip-+ |
| 2× | cbrt-prod div-inv |
| 1× | +-commutative sum-log pow1/3 rem-log-exp exp-sum pow3 pow-prod-down *-commutative rem-cbrt-cube |
| 103.0ms | (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) |
| 24.0ms | (log (exp (+ (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) 1.0))) |
| 31.0ms | (+ (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) 1.0) |
| 1.3s | (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) |
| 347.0ms | (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) |
| 489.0ms | (log (exp (+ (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) 1.0))) |
| 443.0ms | (+ (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) 1.0) |
| 443.0ms | (cbrt (* (* (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))) (* (/ (+ alpha beta) (+ alpha (fma i 2 beta))) (/ (- beta alpha) (+ 2.0 (+ alpha (fma i 2 beta))))))) |
| Iter | Nodes |
|---|---|
| 2 | 4577 |
| 1 | 1221 |
| 0 | 440 |
9 alts after pruning (9 fresh and 0 done)
Merged error: 4.2b
11% (6.9b remaining)
Error of 11.1b against oracle of 4.1b and baseline of 12.0b
| Iters | Range | Point | |
|---|---|---|---|
| 0 | 9.650645960462008e+196 | 9.70485616475844e+196 | 9.677751062610224e+196 |
| Iter | Nodes |
|---|---|
| 2 | 50 |
| 1 | 50 |
| 0 | 39 |
| 1.6s | 6410× | body | 80 | valid |
| 527.0ms | 491× | body | 1280 | valid |
| 421.0ms | 8000× | pre | 80 | true |
| 409.0ms | 543× | body | 640 | valid |
| 197.0ms | 354× | body | 320 | valid |
| 66.0ms | 202× | body | 160 | valid |