| 56× | intervals |
| 16× | halfpoints |
| 51.5s | 66657× | body | 1280 | valid |
| 32.7s | 17375× | body | 2560 | valid |
| 16.5s | 41976× | body | 640 | valid |
| 9.9s | 12961× | body | 10240 | exit |
| 8.7s | 93695× | body | 80 | valid |
| 5.9s | 62578× | body | 80 | nan |
| 5.8s | 20892× | body | 320 | valid |
| 2.1s | 11039× | body | 160 | valid |
| 1.2s | 47500× | pre | 80 | true |
| 530.0ms | 670× | body | 1280 | nan |
| 338.0ms | 615× | body | 640 | nan |
| 295.0ms | 472× | body | 5120 | valid |
| 109.0ms | 347× | body | 320 | nan |
| 91.0ms | 173× | body | 160 | nan |
436 calls:
| 826.0ms | (+ (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N)))) |
| 822.0ms | (/ c (/ (- (- b_2) (sqrt (- (* b_2 b_2) (* c a)))) a)) |
| 776.0ms | (log (cbrt (- (pow 1.0 3) (pow x 3)))) |
| 627.0ms | (- (pow (+ x 1.0) (/ 1.0 n)) (* (pow (* (cbrt x) (cbrt x)) (/ 1.0 n)) (pow (cbrt x) (/ 1.0 n)))) |
| 626.0ms | (- (pow (* (cos x) (cos eps)) 3) (pow (+ (* (sin x) (sin eps)) (cos x)) 3)) |
| 126× | rewrite-expression-head |
436 calls:
| 2.1s | (- (+ (- 1.0 (+ (* 1.0 (* -1 (log n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0) |
| 1.9s | (/ (- (pow (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)) 3) (pow (pow x 2) 3)) (* (+ (+ (* (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)) (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2))) (pow x 4)) (* (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)) (pow x 2))) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x))) |
| 1.8s | (/ (/ 1 (/ (/ 1 1) (/ c (/ (- (- b_2) (sqrt (- (* b_2 b_2) (* c a)))) a)))) a) |
| 813.0ms | (+ (- (* (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0)))) (/ 2.0 x)) (/ 1.0 (- x 1.0))) |
| 455.0ms | (/ (+ (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a)) |
| 71972× | times-frac |
| 35788× | add-sqr-sqrt |
| 35623× | *-un-lft-identity |
| 27288× | add-cube-cbrt |
| 4110× | difference-of-squares |
| 3877× | associate-/l* |
| 3723× | distribute-lft-out-- |
| 2372× | sqrt-prod |
| 1843× | div-inv |
| 1636× | add-exp-log |
| 1621× | distribute-rgt-neg-in |
| 1143× | cbrt-prod |
| 1059× | add-cbrt-cube |
| 844× | pow1 |
| 790× | add-log-exp |
| 739× | unpow-prod-down |
| 547× | div-exp |
| 528× | log-prod |
| 520× | associate-*l* associate-*r* |
| 470× | cube-prod |
| 465× | associate-/r/ |
| 437× | distribute-lft-out |
| 398× | sqr-pow |
| 393× | flip-- flip3-- |
| 332× | associate-/r* |
| 331× | associate-*l/ |
| 326× | prod-exp |
| 311× | frac-times |
| 282× | flip-+ flip3-+ |
| 263× | unswap-sqr |
| 215× | associate-*r/ |
| 209× | cbrt-undiv |
| 191× | cbrt-unprod |
| 188× | frac-sub |
| 183× | sqrt-pow1 |
| 165× | swap-sqr |
| 158× | associate-/l/ |
| 145× | pow-prod-down |
| 144× | exp-prod |
| 134× | pow-unpow |
| 128× | diff-log |
| 125× | sub-neg |
| 123× | exp-neg neg-sub0 |
| 122× | cbrt-div |
| 117× | sqrt-div |
| 112× | exp-diff |
| 108× | 1-exp |
| 93× | log-pow |
| 92× | pow1/3 |
| 91× | pow1/2 |
| 84× | frac-add |
| 81× | *-commutative |
| 80× | associate-+r+ |
| 79× | pow-exp |
| 77× | pow-to-exp |
| 76× | rec-exp |
| 72× | unpow2 |
| 70× | frac-2neg clear-num |
| 64× | pow-prod-up |
| 58× | sum-log |
| 54× | log-div |
| 52× | pow-sqr |
| 51× | associate-+l+ |
| 42× | rem-log-exp |
| 40× | rem-sqrt-square |
| 38× | distribute-rgt-in distribute-lft-in |
| 33× | pow-pow |
| 31× | +-commutative |
| 30× | tan-quot |
| 27× | exp-sum |
| 26× | distribute-lft-neg-in div-sub |
| 24× | complex-mul-def |
| 22× | difference-cubes |
| 21× | unpow3 cube-mult exp-to-pow |
| 20× | un-div-inv |
| 19× | associate--l+ |
| 16× | pow-flip |
| 15× | cube-div associate--l- pow-plus associate--r+ |
| 14× | pow2 cos-mult |
| 12× | neg-log |
| 10× | rem-cube-cbrt neg-mul-1 associate-+l- |
| 9× | inv-pow difference-of-sqr-1 |
| 7× | sqrt-unprod |
| 6× | rem-exp-log *.c-commutative distribute-neg-frac |
| 5× | rem-cbrt-cube |
| 4× | distribute-lft-neg-out associate-+r- distribute-rgt-out-- +.c-commutative complex-add-def rem-square-sqrt |
| 2× | pow-neg associate-+l+.c sub-div pow-sub cos-sum sin-mult tan-sum frac-2neg.c associate-*l*.c sin-sum log-rec |
| 1× | sin-cos-mult sqrt-pow2 diff-atan diff-cos diff-sin |
Total 23.9b remaining (7.9%)
Threshold costs 7.3b (2.4%)
| 5.1b | 40.1% | expq3 (problem 3.4.2) |
| 3.0b | 89.5% | quadm (p42, negative) |
| 2.8b | 89.5% | quad2p (problem 3.2.1, positive) |
| 2.4b | 91.1% | quad2m (problem 3.2.1, negative) |
| 1.7b | 83.3% | 2cos (problem 3.3.5) |