Time bar (total: 2.5m)
| 1.5s | 3358× | body | 80 | valid |
| 775.0ms | (* (* (/ 1 (sqrt PI)) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) |
2 alts after pruning (2 fresh and 0 done)
Merged error: 0.8b
Found 4 expressions with local error:
| 1.0b | (sqrt PI) |
| 0.4b | (* (/ (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x))))) |
| 0.4b | (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) |
| 0.4b | (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) |
| 131× | add-exp-log |
| 110× | times-frac |
| 81× | add-cbrt-cube |
| 60× | div-exp |
| 55× | add-sqr-sqrt |
| 46× | *-un-lft-identity |
| 43× | add-cube-cbrt |
| 42× | prod-exp |
| 34× | cbrt-undiv |
| 26× | associate-/l* |
| 24× | cbrt-unprod |
| 21× | pow1 associate-*l* |
| 9× | div-inv |
| 8× | pow-div |
| 6× | rec-exp 1-exp |
| 5× | unswap-sqr |
| 4× | associate-*r* insert-posit16 pow-flip inv-pow add-log-exp |
| 3× | sqrt-prod |
| 2× | pow2 frac-times clear-num associate-/r* frac-2neg flip3-+ pow-plus associate-*r/ pow-sqr pow-prod-up flip-+ associate-/l/ |
| 1× | distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down associate-*l/ *-commutative distribute-lft-out |
| 92.0ms | (* (/ (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x))))) |
| 19.0ms | (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) |
| 19.0ms | (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) |
| 2.0ms | (sqrt PI) |
| 124.0ms | (* (/ (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x))))) |
| 56.0ms | (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) |
| 35.0ms | (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) |
| 0.0ms | (sqrt PI) |
| 1.4s | (* (/ (/ (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x)))) (* (* (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x))))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))))) |
| 1.4s | (* (/ (/ (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x)))) (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x))))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))))) |
| 1.4s | (* (/ (/ (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x)))) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x)))) (* (* (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x))))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))))) |
| 1.2s | (* (/ (/ (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x))))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))))) |
| 1.1s | (* (/ (* (* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x)))) (* (* (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x))))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))))) |
15 alts after pruning (15 fresh and 0 done)
Merged error: 0.2b
Found 4 expressions with local error:
| 1.0b | (sqrt PI) |
| 0.4b | (/ (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (pow (fabs x) 5)) |
| 0.4b | (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) |
| 0.3b | (* (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (+ (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) (/ (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (pow (fabs x) 5))) (/ 1 (fabs x)))) |
| 79× | times-frac |
| 75× | *-un-lft-identity |
| 60× | add-sqr-sqrt |
| 51× | add-cube-cbrt |
| 25× | add-exp-log |
| 23× | add-cbrt-cube |
| 22× | associate-*l* |
| 17× | associate-/l* |
| 15× | unpow-prod-down |
| 14× | distribute-lft-out |
| 13× | sqrt-prod |
| 10× | div-exp |
| 8× | cbrt-undiv associate-/r* frac-add |
| 7× | pow1 associate-*r* div-inv |
| 5× | frac-times flip3-+ associate-*r/ flip-+ sqr-pow |
| 4× | prod-exp cbrt-unprod insert-posit16 add-log-exp |
| 3× | unswap-sqr associate-/l/ |
| 2× | clear-num frac-2neg |
| 1× | distribute-rgt-in pow-to-exp rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down associate-*l/ pow-exp *-commutative |
| 1.1s | (* (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (+ (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) (/ (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (pow (fabs x) 5))) (/ 1 (fabs x)))) |
| 59.0ms | (/ (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (pow (fabs x) 5)) |
| 20.0ms | (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) |
| 2.0ms | (sqrt PI) |
| 451.0ms | (* (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (+ (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) (/ (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (pow (fabs x) 5))) (/ 1 (fabs x)))) |
| 119.0ms | (/ (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (pow (fabs x) 5)) |
| 56.0ms | (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) |
| 0.0ms | (sqrt PI) |
| 1.4s | (* (/ (* (* (exp (* (fabs x) (fabs x))) (exp (* (fabs x) (fabs x)))) (exp (* (fabs x) (fabs x)))) (* (* (sqrt PI) (sqrt PI)) (sqrt PI))) (* (* (+ (+ (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) (/ (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (pow (fabs x) 5))) (/ 1 (fabs x))) (+ (+ (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) (/ (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (pow (fabs x) 5))) (/ 1 (fabs x)))) (+ (+ (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) (/ (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (pow (fabs x) 5))) (/ 1 (fabs x))))) |
| 1.0s | (* (* (* (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (/ (exp (* (fabs x) (fabs x))) (sqrt PI))) (/ (exp (* (fabs x) (fabs x))) (sqrt PI))) (* (* (+ (+ (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) (/ (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (pow (fabs x) 5))) (/ 1 (fabs x))) (+ (+ (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) (/ (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (pow (fabs x) 5))) (/ 1 (fabs x)))) (+ (+ (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) (/ (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (pow (fabs x) 5))) (/ 1 (fabs x))))) |
| 711.0ms | (* (exp (* (fabs x) (fabs x))) (+ (* (+ (pow (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) 3) (pow (/ (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (pow (fabs x) 5)) 3)) (fabs x)) (* (+ (* (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x)))) (- (* (/ (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (pow (fabs x) 5)) (/ (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (pow (fabs x) 5))) (* (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) (/ (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (pow (fabs x) 5))))) 1))) |
| 515.0ms | (* (sqrt (/ (exp (* (fabs x) (fabs x))) (sqrt PI))) (sqrt (+ (+ (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) (/ (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))) (pow (fabs x) 5))) (/ 1 (fabs x))))) |
| 514.0ms | (* (cbrt (/ (exp (* (fabs x) (fabs x))) (sqrt PI))) (cbrt (/ (exp (* (fabs x) (fabs x))) (sqrt PI)))) |
13 alts after pruning (13 fresh and 0 done)
Merged error: 0.1b
Found 4 expressions with local error:
| 0.3b | (* (* (sqrt (/ 1 PI)) (exp (* (fabs x) (fabs x)))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x))))) |
| 0.3b | (/ 15/8 (pow (fabs x) 7)) |
| 0.3b | (/ 3/4 (pow (fabs x) 5)) |
| 0.2b | (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) |
| 53× | *-un-lft-identity |
| 45× | times-frac |
| 39× | add-sqr-sqrt add-cube-cbrt |
| 27× | add-exp-log |
| 24× | unpow-prod-down |
| 22× | add-cbrt-cube |
| 18× | frac-add |
| 15× | associate-/r* |
| 11× | distribute-lft-out |
| 9× | pow1 div-exp associate-*l/ associate-/l* |
| 8× | sqrt-div associate-*r* sqr-pow |
| 7× | frac-times associate-*r/ |
| 6× | flip3-+ prod-exp cbrt-unprod flip-+ |
| 5× | cbrt-undiv div-inv |
| 4× | insert-posit16 add-log-exp |
| 3× | clear-num frac-2neg pow-prod-down |
| 2× | pow-to-exp pow-exp |
| 1× | distribute-rgt-in distribute-lft-in associate-*l* *-commutative |
| 1.7s | (* (* (sqrt (/ 1 PI)) (exp (* (fabs x) (fabs x)))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x))))) |
| 28.0ms | (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) |
| 10.0ms | (/ 3/4 (pow (fabs x) 5)) |
| 10.0ms | (/ 15/8 (pow (fabs x) 7)) |
| 526.0ms | (* (* (sqrt (/ 1 PI)) (exp (* (fabs x) (fabs x)))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x))))) |
| 82.0ms | (/ 3/4 (pow (fabs x) 5)) |
| 75.0ms | (/ 15/8 (pow (fabs x) 7)) |
| 39.0ms | (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) |
| 2.0s | (* (* (* (* (sqrt (/ 1 PI)) (sqrt (/ 1 PI))) (sqrt (/ 1 PI))) (* (* (exp (* (fabs x) (fabs x))) (exp (* (fabs x) (fabs x)))) (exp (* (fabs x) (fabs x))))) (* (* (+ (/ 15/8 (pow (fabs x) 7)) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x)))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x))))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x)))))) |
| 1.8s | (* (* (* (* (sqrt (/ 1 PI)) (exp (* (fabs x) (fabs x)))) (* (sqrt (/ 1 PI)) (exp (* (fabs x) (fabs x))))) (* (sqrt (/ 1 PI)) (exp (* (fabs x) (fabs x))))) (* (* (+ (/ 15/8 (pow (fabs x) 7)) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x)))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x))))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x)))))) |
| 827.0ms | (* (pow (fabs x) 7) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (pow (fabs x) 5)) (fabs x))) |
| 777.0ms | (/ (* (* 3/4 3/4) 3/4) (* (* (pow (fabs x) 5) (pow (fabs x) 5)) (pow (fabs x) 5))) |
| 622.0ms | (* (sqrt PI) (* (pow (fabs x) 7) (* (- (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (fabs x)))) |
13 alts after pruning (13 fresh and 0 done)
Merged error: 0.1b
Found 4 expressions with local error:
| 0.3b | (* (* (sqrt (/ 1 PI)) (exp (* (fabs x) (fabs x)))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x))))) |
| 0.3b | (/ 1 (pow (fabs x) 7)) |
| 0.3b | (/ 3/4 (pow (fabs x) 5)) |
| 0.2b | (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) |
| 45× | times-frac |
| 39× | add-sqr-sqrt *-un-lft-identity add-cube-cbrt |
| 36× | frac-add |
| 31× | add-exp-log |
| 24× | unpow-prod-down |
| 22× | add-cbrt-cube associate-*r/ |
| 15× | associate-/r* |
| 14× | associate-*l/ |
| 13× | sqrt-div |
| 12× | frac-times div-exp |
| 10× | flip3-+ un-div-inv flip-+ |
| 9× | pow1 associate-/l* |
| 8× | sqr-pow |
| 6× | prod-exp cbrt-unprod |
| 5× | cbrt-undiv |
| 4× | pow-to-exp pow-exp insert-posit16 add-log-exp |
| 3× | rec-exp clear-num frac-2neg 1-exp associate-*r* pow-prod-down div-inv |
| 1× | distribute-rgt-in distribute-lft-in associate-*l* *-commutative pow-flip inv-pow |
| 1.6s | (* (* (sqrt (/ 1 PI)) (exp (* (fabs x) (fabs x)))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x))))) |
| 29.0ms | (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) |
| 7.0ms | (/ 3/4 (pow (fabs x) 5)) |
| 6.0ms | (/ 1 (pow (fabs x) 7)) |
| 445.0ms | (* (* (sqrt (/ 1 PI)) (exp (* (fabs x) (fabs x)))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x))))) |
| 74.0ms | (/ 1 (pow (fabs x) 7)) |
| 63.0ms | (/ 3/4 (pow (fabs x) 5)) |
| 37.0ms | (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) |
| 1.7s | (* (* (* (* (sqrt (/ 1 PI)) (sqrt (/ 1 PI))) (sqrt (/ 1 PI))) (* (* (exp (* (fabs x) (fabs x))) (exp (* (fabs x) (fabs x)))) (exp (* (fabs x) (fabs x))))) (* (* (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x)))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x))))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x)))))) |
| 1.6s | (* (* (* (* (sqrt (/ 1 PI)) (exp (* (fabs x) (fabs x)))) (* (sqrt (/ 1 PI)) (exp (* (fabs x) (fabs x))))) (* (sqrt (/ 1 PI)) (exp (* (fabs x) (fabs x))))) (* (* (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x)))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x))))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x)))))) |
| 1.1s | (* (pow (fabs x) 7) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (pow (fabs x) 5)) (fabs x))) |
| 727.0ms | (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt (fabs x)) (cbrt (fabs x))) 7)) |
| 713.0ms | (* (sqrt PI) (+ (* (* 15/8 (/ 1 (pow (fabs x) 7))) (* 15/8 (/ 1 (pow (fabs x) 7)))) (- (* (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x))) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x)))) (* (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x))))))) |
12 alts after pruning (12 fresh and 0 done)
Merged error: 0.1b