Time bar (total: 4.5m)
| 451.0ms | 111× | body | 10240 | exit |
| 293.0ms | 104× | body | 1280 | valid |
| 205.0ms | 74× | body | 640 | valid |
| 116.0ms | 47× | body | 640 | nan |
| 74.0ms | 34× | body | 1280 | nan |
| 73.0ms | 49× | body | 320 | valid |
| 21.0ms | 16× | body | 320 | nan |
| 17.0ms | 19× | body | 160 | valid |
| 7.0ms | 15× | body | 80 | valid |
| 6.0ms | 8× | body | 160 | nan |
| 3.0ms | 8× | body | 80 | nan |
| Iter | Nodes |
|---|---|
| done | 5032 |
| 3 | 2323 |
| 2 | 422 |
| 1 | 140 |
| 0 | 55 |
2 alts after pruning (2 fresh and 0 done)
Merged error: 0.9b
Found 4 expressions with local error:
| 0.4b | (* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5)))) |
| 0.7b | (* (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) |
| 1.0b | (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) |
| 1.0b | (sqrt (* PI 2)) |
| 1848× | frac-add |
| 510× | flip3-+ flip-+ |
| 371× | frac-times |
| 223× | associate-*r/ |
| 180× | *-un-lft-identity |
| 152× | associate-*l/ |
| 150× | pow-sub |
| 111× | distribute-lft-out |
| 55× | associate-*r* |
| 49× | add-sqr-sqrt |
| 35× | add-cube-cbrt |
| 33× | times-frac |
| 30× | add-exp-log |
| 22× | associate-*l* |
| 21× | unpow-prod-up |
| 20× | add-cbrt-cube |
| 18× | prod-diff |
| 17× | prod-exp |
| 10× | sqrt-prod |
| 9× | pow1 exp-sum |
| 7× | cbrt-unprod |
| 6× | difference-of-squares |
| 5× | unpow-prod-down div-exp |
| 4× | expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u associate-/l* distribute-lft-out-- add-log-exp |
| 3× | pow-to-exp cbrt-undiv pow-exp |
| 2× | associate-+r- sqrt-pow1 exp-diff pow-prod-down associate-/r/ *-commutative div-inv unswap-sqr |
| 1× | distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in pow1/2 associate--r- sqr-pow |
| 27.7s | (* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5)))) |
| 23.6s | (* (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) |
| 72.0ms | (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) |
| 5.0ms | (sqrt (* PI 2)) |
| 755.0ms | (* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5)))) |
| 352.0ms | (* (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) |
| 134.0ms | (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) |
| 0.0ms | (sqrt (* PI 2)) |
| Iter | Nodes |
|---|---|
| done | 5001 |
| 0 | 1809 |
9 alts after pruning (9 fresh and 0 done)
Merged error: 0.0b
Found 4 expressions with local error:
| 0.4b | (* (* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5)))) |
| 0.7b | (* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) |
| 1.0b | (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) |
| 1.0b | (sqrt (* PI 2)) |
| 1848× | frac-add |
| 510× | flip3-+ flip-+ |
| 378× | associate-*l/ |
| 371× | frac-times |
| 223× | associate-*r/ |
| 171× | *-un-lft-identity |
| 150× | pow-sub |
| 111× | distribute-lft-out |
| 58× | associate-*r* |
| 41× | add-exp-log |
| 40× | add-sqr-sqrt |
| 34× | prod-exp |
| 32× | add-cbrt-cube |
| 26× | add-cube-cbrt |
| 22× | associate-*l* |
| 21× | unpow-prod-up |
| 18× | prod-diff |
| 17× | times-frac |
| 16× | cbrt-unprod |
| 14× | pow1 |
| 6× | difference-of-squares |
| 5× | unpow-prod-down div-exp pow-prod-down sqrt-prod |
| 4× | expm1-log1p-u pow-to-exp exp-sum pow-exp insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp |
| 3× | cbrt-undiv *-commutative |
| 2× | sqrt-pow1 unswap-sqr |
| 1× | distribute-rgt-in sub-neg distribute-lft-in pow1/2 div-inv associate--r- sqr-pow |
| 27.5s | (* (* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5)))) |
| 19.1s | (* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) |
| 82.0ms | (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) |
| 7.0ms | (sqrt (* PI 2)) |
| 1.1s | (* (* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5)))) |
| 796.0ms | (* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) |
| 241.0ms | (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) |
| 0.0ms | (sqrt (* PI 2)) |
| Iter | Nodes |
|---|---|
| done | 5001 |
| 0 | 1816 |
7 alts after pruning (7 fresh and 0 done)
Merged error: 0.0b
Found 4 expressions with local error:
| 0.3b | (/ (* (* (* (sqrt (* PI 2)) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) z)) (* (exp (+ 0.5 z)) (pow (+ 0.5 (- z -6)) (- 1 0.5)))) |
| 0.8b | (* (* (sqrt (* PI 2)) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) |
| 1.0b | (sqrt (* PI 2)) |
| 1.0b | (* (sqrt (* PI 2)) (exp -6)) |
| 616× | frac-add |
| 170× | flip3-+ flip-+ |
| 149× | associate-*r/ |
| 138× | *-un-lft-identity |
| 127× | add-exp-log |
| 109× | distribute-lft-out |
| 106× | prod-exp |
| 74× | associate-*l/ associate-/l/ |
| 43× | add-cbrt-cube |
| 40× | div-exp |
| 28× | associate-*r* |
| 22× | pow-to-exp pow-exp |
| 20× | cbrt-unprod |
| 14× | pow1 |
| 9× | add-sqr-sqrt |
| 8× | cbrt-undiv |
| 7× | add-cube-cbrt |
| 5× | associate-*l* pow-prod-down |
| 4× | expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp |
| 2× | sqrt-pow1 *-commutative sqrt-prod |
| 1× | distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac pow1/2 associate-/r/ div-inv associate-/l* pow-sub unswap-sqr |
| 17.3s | (/ (* (* (* (sqrt (* PI 2)) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) z)) (* (exp (+ 0.5 z)) (pow (+ 0.5 (- z -6)) (- 1 0.5)))) |
| 15.5s | (* (* (sqrt (* PI 2)) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) |
| 8.0ms | (sqrt (* PI 2)) |
| 35.0ms | (* (sqrt (* PI 2)) (exp -6)) |
| 897.0ms | (/ (* (* (* (sqrt (* PI 2)) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) z)) (* (exp (+ 0.5 z)) (pow (+ 0.5 (- z -6)) (- 1 0.5)))) |
| 283.0ms | (* (* (sqrt (* PI 2)) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) |
| 0.0ms | (sqrt (* PI 2)) |
| 0.0ms | (* (sqrt (* PI 2)) (exp -6)) |
| Iter | Nodes |
|---|---|
| done | 5001 |
| 0 | 1221 |
7 alts after pruning (6 fresh and 1 done)
Merged error: 0b
Found 4 expressions with local error:
| 0.3b | (/ (* (exp (+ 0.5 z)) (pow (+ 0.5 (- z -6)) (- 1 0.5))) (* (* (* (sqrt (* PI 2)) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) z))) |
| 0.8b | (* (* (sqrt (* PI 2)) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) |
| 1.0b | (sqrt (* PI 2)) |
| 1.0b | (* (sqrt (* PI 2)) (exp -6)) |
| 616× | frac-add |
| 170× | flip3-+ flip-+ |
| 149× | associate-*r/ |
| 138× | *-un-lft-identity |
| 127× | add-exp-log |
| 109× | distribute-lft-out |
| 106× | prod-exp |
| 74× | associate-*l/ associate-/r/ |
| 43× | add-cbrt-cube |
| 40× | div-exp |
| 28× | associate-*r* |
| 22× | pow-to-exp pow-exp |
| 20× | cbrt-unprod |
| 14× | pow1 |
| 9× | add-sqr-sqrt |
| 8× | cbrt-undiv |
| 7× | add-cube-cbrt |
| 5× | associate-*l* pow-prod-down |
| 4× | expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp |
| 2× | sqrt-pow1 *-commutative sqrt-prod |
| 1× | distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac pow1/2 div-inv associate-/l* pow-sub unswap-sqr associate-/l/ |
| 13.4s | (/ (* (exp (+ 0.5 z)) (pow (+ 0.5 (- z -6)) (- 1 0.5))) (* (* (* (sqrt (* PI 2)) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) z))) |
| 12.2s | (* (* (sqrt (* PI 2)) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) |
| 4.0ms | (sqrt (* PI 2)) |
| 17.0ms | (* (sqrt (* PI 2)) (exp -6)) |
| 800.0ms | (/ (* (exp (+ 0.5 z)) (pow (+ 0.5 (- z -6)) (- 1 0.5))) (* (* (* (sqrt (* PI 2)) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) z))) |
| 286.0ms | (* (* (sqrt (* PI 2)) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) |
| 0.0ms | (sqrt (* PI 2)) |
| 0.0ms | (* (sqrt (* PI 2)) (exp -6)) |
| Iter | Nodes |
|---|---|
| done | 5000 |
| 0 | 1214 |
7 alts after pruning (5 fresh and 2 done)
Merged error: 0b
0% (0.8b remaining)
Error of 0.9b against oracle of 0.1b and baseline of 0.9b
| Iter | Nodes |
|---|---|
| done | 81 |
| 1 | 81 |
| 0 | 58 |
| 10.6s | 3700× | body | 10240 | exit |
| 9.1s | 3375× | body | 1280 | valid |
| 3.7s | 2446× | body | 640 | valid |
| 2.8s | 1425× | body | 1280 | nan |
| 2.0s | 1151× | body | 640 | nan |
| 1.3s | 1259× | body | 320 | valid |
| 566.0ms | 596× | body | 320 | nan |
| 516.0ms | 666× | body | 160 | valid |
| 236.0ms | 306× | body | 160 | nan |
| 124.0ms | 342× | body | 80 | valid |
| 104.0ms | 303× | body | 80 | nan |