| 56× | intervals |
| 16× | halfpoints |
| 39.2s | 67117× | body | 1280 | valid |
| 25.1s | 17428× | body | 2560 | valid |
| 13.6s | 42160× | body | 640 | valid |
| 8.1s | 13104× | body | 10240 | exit |
| 5.8s | 93872× | body | 80 | valid |
| 4.6s | 20722× | body | 320 | valid |
| 3.8s | 62755× | body | 80 | nan |
| 1.4s | 10590× | body | 160 | valid |
| 846.0ms | 47561× | pre | 80 | true |
| 441.0ms | 680× | body | 1280 | nan |
| 407.0ms | 346× | body | 320 | nan |
| 252.0ms | 664× | body | 640 | nan |
| 216.0ms | 388× | body | 5120 | valid |
| 24.0ms | 174× | body | 160 | nan |
425 calls:
| 3.2s | (- (* (* (cbrt (+ (+ (* (/ (log x) n) 1.0) 1) (/ (/ 1.0 n) x))) (cbrt (pow (+ x 1.0) (/ 1.0 n)))) (cbrt (pow (+ x 1.0) (/ 1.0 n)))) (pow x (/ 1.0 n))) |
| 1.3s | (cbrt (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))) |
| 1.2s | (* (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))) |
| 1.1s | (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) |
| 125× | rewrite-expression-head |
425 calls:
| 1.0s | (+ (- (/ (sqrt 1.0) (/ (+ x 1.0) (sqrt 1.0))) (/ 2.0 x)) (/ 1.0 (- x 1.0))) |
| 648.0ms | (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0) |
| 586.0ms | (/ (+ (/ (- (/ 1 a)) a) (/ (/ 1 b) b)) (- (/ 1 b) (/ 1 a))) |
| 387.0ms | (/ (+ (* 2.0 (/ 1 (sqrt 1.0))) (- (+ (* (pow x 2) (sqrt 1.0)) (* 1.0 (/ x (sqrt 1.0)))) (* 1.0 (+ (* x (sqrt 1.0)) (/ (pow x 2) (sqrt 1.0)))))) (* (* (/ (+ x 1.0) (sqrt 1.0)) x) (- x 1.0))) |
| 349.0ms | (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) |
| 10632× | times-frac |
| 10142× | *-un-lft-identity |
| 8083× | add-sqr-sqrt |
| 4996× | add-cube-cbrt |
| 4103× | sqrt-prod |
| 1462× | distribute-lft-out |
| 1427× | add-exp-log |
| 1355× | difference-of-squares |
| 1222× | cbrt-prod |
| 1029× | add-cbrt-cube |
| 1008× | distribute-lft-out-- |
| 783× | add-log-exp |
| 770× | pow1 |
| 739× | associate-*l* |
| 628× | unpow-prod-down |
| 580× | associate-/l* |
| 573× | associate-*r* |
| 537× | associate-/r* |
| 482× | div-inv |
| 382× | div-exp |
| 364× | log-prod |
| 326× | sqr-pow |
| 325× | distribute-rgt-neg-in |
| 315× | associate-/r/ |
| 311× | prod-exp |
| 283× | cube-prod |
| 282× | flip-- flip3-- |
| 206× | cbrt-undiv |
| 184× | cbrt-unprod |
| 183× | unswap-sqr |
| 181× | swap-sqr |
| 177× | flip-+ flip3-+ |
| 138× | diff-log sqrt-div |
| 129× | sub-neg |
| 123× | pow-unpow |
| 115× | associate-/l/ |
| 106× | associate-*l/ cbrt-div |
| 102× | pow-prod-down |
| 98× | unpow2 |
| 96× | associate-*r/ |
| 89× | log-pow pow-exp |
| 87× | pow-to-exp |
| 77× | sqrt-pow1 |
| 75× | frac-2neg clear-num |
| 68× | pow1/3 |
| 65× | pow1/2 |
| 58× | *-commutative |
| 57× | frac-add exp-prod |
| 55× | log-div |
| 53× | sum-log |
| 52× | distribute-lft-neg-in |
| 51× | 1-exp |
| 50× | frac-times |
| 48× | associate-+r+ |
| 46× | rem-sqrt-square |
| 44× | frac-sub |
| 42× | rec-exp |
| 39× | exp-sum rem-log-exp |
| 32× | +-commutative |
| 31× | pow-flip |
| 30× | distribute-rgt-in distribute-lft-in |
| 29× | cos-mult |
| 27× | associate-+l+ sin-mult |
| 25× | unpow-prod-up div-sub |
| 24× | complex-mul-def |
| 23× | pow-prod-up neg-sub0 |
| 21× | difference-cubes pow-sqr |
| 20× | associate--l- |
| 19× | tan-quot |
| 18× | associate--l+ pow-pow |
| 16× | neg-log |
| 15× | inv-pow |
| 14× | pow-div associate--r+ associate-+l- |
| 12× | rem-exp-log |
| 11× | exp-diff |
| 9× | pow-plus |
| 8× | un-div-inv exp-to-pow |
| 7× | pow2 log-rec |
| 6× | sub-div *.c-commutative |
| 5× | unpow3 associate-+r- cube-mult |
| 4× | sqrt-unprod pow-sub +.c-commutative complex-add-def neg-mul-1 |
| 3× | difference-of-sqr-1 |
| 2× | sin-sum e-exp-1 associate-+l+.c exp-neg associate-*l*.c tan-sum cos-sum frac-2neg.c |
| 1× | rem-cube-cbrt sin-cos-mult sum-cubes diff-atan distribute-rgt-out-- diff-cos unsub-neg rem-square-sqrt distribute-frac-neg distribute-rgt-out sqr-cos distribute-neg-frac diff-sin |
Total 22.4b remaining (10.7%)
Threshold costs 6.9b (3.3%)
| 3.2b | 0% | expq3 (problem 3.4.2) |
| 3.1b | 89.3% | quad2m (problem 3.2.1, negative) |
| 3.0b | 89.5% | quadm (p42, negative) |
| 1.4b | 84.1% | 2nthrt (problem 3.4.6) |
| 1.3b | 86.9% | 2cos (problem 3.3.5) |