| 56× | intervals |
| 16× | halfpoints |
| 31.8s | 67128× | body | 1280 | valid |
| 20.4s | 17497× | body | 2560 | valid |
| 12.1s | 41467× | body | 640 | valid |
| 6.9s | 94238× | body | 80 | valid |
| 4.4s | 20924× | body | 320 | valid |
| 4.0s | 63747× | body | 80 | nan |
| 1.5s | 10500× | body | 160 | valid |
| 1.0s | 13027× | body | 80 | overflowed |
| 848.0ms | 47507× | pre | 80 | true |
| 389.0ms | 626× | body | 1280 | nan |
| 305.0ms | 649× | body | 640 | nan |
| 263.0ms | 459× | body | 5120 | valid |
| 104.0ms | 352× | body | 320 | nan |
| 33.0ms | 164× | body | 160 | nan |
429 calls:
| 1.2s | (cbrt (* (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))) |
| 1.2s | (cbrt (* (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))) |
| 1.2s | (cbrt (* (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))) |
| 1.1s | (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) |
| 997.0ms | (* (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))) |
| 125× | rewrite-expression-head |
429 calls:
| 1.6s | (/ (/ (- (pow (pow eps 2) 3) (pow (+ (/ (pow eps 2) (pow 1.0 2)) eps) 3)) (sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4)))) (sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4)))) |
| 1.0s | (/ (- (pow (pow eps 2) 3) (pow (+ (/ (pow eps 2) (pow 1.0 2)) eps) 3)) (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4))) |
| 994.0ms | (/ (- (pow (pow eps 2) 3) (pow (+ (/ (pow eps 2) (pow 1.0 2)) eps) 3)) (sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4)))) |
| 375.0ms | (+ (- (/ 1 (/ (+ x 1.0) 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))) |
| 334.0ms | (sqrt (+ (* (+ (/ (pow eps 2) (pow 1.0 2)) eps) (+ (+ (/ (pow eps 2) (pow 1.0 2)) eps) (pow eps 2))) (pow eps 4))) |
| 15312× | times-frac |
| 11870× | add-sqr-sqrt |
| 11399× | *-un-lft-identity |
| 6960× | add-cube-cbrt |
| 4240× | sqrt-prod |
| 3134× | unpow-prod-down |
| 2942× | difference-of-squares |
| 1987× | cube-prod |
| 1809× | add-exp-log |
| 1489× | sqr-pow |
| 1275× | distribute-lft-out-- |
| 1196× | associate-/l* |
| 1161× | add-cbrt-cube |
| 1157× | distribute-lft-out |
| 797× | pow1 add-log-exp |
| 786× | associate-*r* |
| 617× | unpow2 |
| 591× | cbrt-prod |
| 589× | associate-*l* |
| 512× | div-exp |
| 491× | prod-exp |
| 397× | associate-/r* |
| 382× | div-inv |
| 318× | unswap-sqr |
| 258× | flip-- flip3-- |
| 250× | log-prod |
| 247× | associate-/r/ |
| 239× | cbrt-undiv |
| 226× | cbrt-unprod |
| 221× | flip-+ flip3-+ |
| 206× | cbrt-div |
| 182× | distribute-rgt-neg-in |
| 150× | sqrt-div |
| 143× | associate-*l/ |
| 135× | diff-log |
| 134× | log-pow |
| 133× | sub-neg |
| 128× | pow-exp |
| 125× | pow-prod-down |
| 114× | pow-to-exp |
| 97× | pow-unpow |
| 89× | associate-*r/ |
| 87× | 1-exp frac-times |
| 85× | associate-/l/ exp-prod |
| 80× | *-commutative sqrt-pow1 |
| 74× | frac-2neg clear-num |
| 71× | sum-log |
| 63× | rec-exp |
| 60× | pow1/3 |
| 59× | pow1/2 |
| 55× | difference-cubes |
| 48× | associate-+l+ |
| 43× | associate-+r+ |
| 36× | distribute-rgt-in +-commutative distribute-lft-in |
| 34× | frac-add |
| 33× | frac-sub |
| 32× | tan-quot |
| 31× | rem-sqrt-square |
| 30× | pow-pow |
| 29× | cube-div |
| 26× | log-div div-sub |
| 25× | swap-sqr |
| 24× | complex-mul-def |
| 23× | pow-prod-up unpow3 cube-mult |
| 22× | associate--r+ |
| 21× | rem-cube-cbrt |
| 18× | cos-mult associate--l+ |
| 17× | pow-sqr rem-log-exp |
| 15× | neg-sub0 |
| 12× | associate-+l- |
| 11× | neg-log |
| 10× | associate--l- pow-flip |
| 8× | inv-pow |
| 6× | exp-diff pow-plus exp-sum *.c-commutative |
| 5× | un-div-inv sqrt-unprod distribute-rgt-out-- pow2 |
| 4× | pow-div associate-+r- +.c-commutative complex-add-def rem-cbrt-cube |
| 3× | sin-cos-mult difference-of-sqr-1 |
| 2× | cos-sum rem-exp-log distribute-lft-neg-in associate-+l+.c associate--r- exp-neg rem-square-sqrt associate-*l*.c neg-mul-1 tan-sum distribute-neg-frac exp-to-pow sin-sum |
| 1× | sqrt-pow2 diff-atan sub-div diff-cos unpow1/2 sin-mult frac-2neg.c diff-sin |
| 197× | egg-herbie |
Total 23.8b remaining (9.2%)
Threshold costs 9.5b (3.7%)
| 4.3b | 48.1% | expq3 (problem 3.4.2) |
| 3.1b | 88.1% | quadm (p42, negative) |
| 3.1b | 88.6% | quad2p (problem 3.2.1, positive) |
| 2.1b | 77.3% | 2nthrt (problem 3.4.6) |
| 1.7b | 83.4% | 2cos (problem 3.3.5) |