| 56× | intervals |
| 16× | halfpoints |
| 51.0s | 66591× | body | 1280 | valid |
| 32.0s | 17465× | body | 2560 | valid |
| 19.9s | 42320× | body | 640 | valid |
| 11.7s | 13110× | body | 10240 | exit |
| 8.6s | 93621× | body | 80 | valid |
| 6.1s | 20970× | body | 320 | valid |
| 4.9s | 63689× | body | 80 | nan |
| 2.4s | 10714× | body | 160 | valid |
| 2.0s | 47471× | pre | 80 | true |
| 610.0ms | 658× | body | 1280 | nan |
| 401.0ms | 647× | body | 640 | nan |
| 326.0ms | 454× | body | 5120 | valid |
| 173.0ms | 407× | body | 320 | nan |
| 35.0ms | 178× | body | 160 | nan |
| 122× | rewrite-expression-head |
405 calls:
| 14.8s | (cbrt (* (* (* (* (* eps (* eps (* eps 1/6))) b) b) (* (* (* eps (* eps (* eps 1/6))) b) b)) (* (* (* eps (* eps (* eps 1/6))) b) b))) |
| 14.2s | (cbrt (* (* (* (* (* eps (* eps (* eps 1/6))) b) b) (* (* (* eps (* eps (* eps 1/6))) b) b)) (* (* (* eps (* eps (* eps 1/6))) b) b))) |
| 2.7s | (+ (+ (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (- (/ 2.0 x))) (/ 1.0 (- x 1.0))) |
| 1.5s | (- (+ (+ (/ 0.5 n) (- 1.0 (/ 0.16666666666666669 (* n n)))) (* (log n) 1.0)) 1.0) |
| 1.3s | (+ (* (* (- (exp x) 2.0) (* (- (exp x) 2.0) (- (exp x) 2.0))) (* (* (* (exp x) (exp x)) (exp x)) (+ (* (* (exp x) (exp x)) (exp x)) (* 2.0 (* 2.0 2.0))))) (+ (* (* (exp x) (exp x)) (exp x)) (* 2.0 (* 2.0 2.0)))) |
| 23602× | sqrt-prod |
| 20216× | *-un-lft-identity |
| 19614× | times-frac |
| 9875× | add-sqr-sqrt |
| 8139× | add-cube-cbrt |
| 6211× | distribute-lft-out |
| 1271× | add-exp-log |
| 1195× | add-cbrt-cube |
| 1116× | pow1 |
| 960× | associate-/l* |
| 749× | difference-of-squares |
| 748× | add-log-exp |
| 721× | sqrt-div |
| 587× | distribute-lft-out-- |
| 577× | associate-/r/ |
| 502× | frac-times |
| 456× | flip-+ flip3-+ |
| 425× | associate-/r* |
| 404× | flip3-- flip-- |
| 371× | div-inv |
| 366× | associate-*r/ |
| 352× | prod-exp |
| 337× | cbrt-unprod |
| 334× | associate-*l* |
| 324× | associate-*l/ |
| 320× | pow-prod-down |
| 288× | tan-quot |
| 287× | associate-*r* |
| 243× | cbrt-prod |
| 221× | div-exp |
| 214× | frac-add |
| 189× | exp-prod |
| 188× | cbrt-undiv |
| 159× | log-prod |
| 139× | cbrt-div |
| 130× | unpow-prod-down |
| 126× | log-pow |
| 124× | diff-log |
| 117× | sub-neg |
| 114× | unswap-sqr |
| 91× | pow1/3 |
| 85× | pow-prod-up |
| 80× | associate-/l/ |
| 77× | frac-2neg clear-num |
| 76× | *-commutative |
| 72× | sqr-pow |
| 65× | pow-sqr |
| 61× | swap-sqr |
| 60× | distribute-rgt-neg-in |
| 59× | sum-log |
| 54× | exp-sum |
| 52× | pow-unpow |
| 50× | sqrt-pow1 |
| 44× | pow1/2 |
| 40× | pow-plus |
| 35× | distribute-lft-neg-in |
| 34× | distribute-rgt-in distribute-lft-in |
| 33× | rem-sqrt-square log-div |
| 29× | frac-sub pow2 |
| 27× | div-sub |
| 25× | +-commutative |
| 24× | difference-cubes |
| 19× | pow3 |
| 18× | exp-diff |
| 17× | associate--l+ |
| 15× | associate-+l+ rem-log-exp |
| 14× | 1-exp rec-exp complex-mul-def |
| 13× | neg-mul-1 associate--r+ |
| 12× | neg-sub0 exp-to-pow |
| 11× | associate-+l- |
| 10× | associate--l- associate-+r+ neg-log |
| 9× | cube-unmult exp-lft-cube |
| 8× | pow-exp associate-+r- pow-to-exp distribute-rgt-out-- |
| 7× | sub-div |
| 6× | distribute-neg-frac |
| 5× | rem-exp-log |
| 4× | unsub-neg sqrt-unprod pow-pow |
| 3× | pow-flip *.c-commutative inv-pow +.c-commutative rem-cbrt-cube |
| 2× | associate-*l*.c sin-sum distribute-frac-neg sin-mult exp-neg cos-sum tan-sum complex-add-def |
| 1× | quot-tan diff-atan frac-2neg.c distribute-neg-out distribute-rgt-neg-out sub0-neg un-div-inv diff-sin rem-square-sqrt associate-+l+.c diff-cos associate--r- |
405 calls:
| 1.7s | (sqrt (/ (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (* (/ (+ (sqrt (exp x)) (sqrt 1.0)) (+ (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt 1.0)))) (/ (- (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt 1.0))))))) |
| 1.4s | (- (* (/ (+ (tan x) (tan eps)) (- (* 1 1) (* (* (tan x) (tan eps)) (* (tan x) (tan eps))))) (+ 1 (* (tan x) (tan eps)))) (tan x)) |
| 892.0ms | (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) |
| 813.0ms | (/ (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0)))) |
| 791.0ms | (log (* (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))) (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))) |
Total 41.5b remaining (21.4%)
Threshold costs 5.8b (3%)
| 13.5b | 36.6% | expax (section 3.5) |
| 4.7b | 86% | quad2p (problem 3.2.1, positive) |
| 4.7b | 86% | quadp (p42, positive) |
| 4.0b | 85.8% | quad2m (problem 3.2.1, negative) |
| 3.9b | 86.3% | quadm (p42, negative) |