44759 calls:
| 1.3s | (/ (cbrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))) |
| 1.3s | (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (* (* x x) (+ 1 (cos x))) (* (* x x) (+ 1 (cos x)))) (* (* x x) (+ 1 (cos x))))) |
| 1.3s | (/ (exp x) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))) |
| 1.3s | (* (* (* (+ (+ (* eps (* (* 1/6 a) (* (* a eps) (* a eps)))) (* a eps)) (* 1/2 (* (* a eps) (* a eps)))) (+ (+ (* eps (* (* 1/6 a) (* (* a eps) (* a eps)))) (* a eps)) (* 1/2 (* (* a eps) (* a eps))))) (+ (+ (* eps (* (* 1/6 a) (* (* a eps) (* a eps)))) (* a eps)) (* 1/2 (* (* a eps) (* a eps))))) (* (* (- (exp (* b eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* b eps)) 1))) |
| 1.2s | (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) |
| 45× | intervals |
| 15× | halfpoints |
| 52.9s | 50273× | body | 1280 | valid |
| 22.5s | 9062× | body | 2560 | valid |
| 18.8s | 27801× | body | 640 | valid |
| 8.1s | 54290× | body | 80 | valid |
| 7.8s | 8028× | body | 10240 | exit |
| 7.6s | 13598× | body | 320 | valid |
| 4.0s | 33495× | body | 80 | nan |
| 2.2s | 7528× | body | 160 | valid |
| 1.6s | 29445× | pre | 80 | true |
| 746.0ms | 651× | body | 1280 | nan |
| 607.0ms | 661× | body | 640 | nan |
| 315.0ms | 214× | body | 5120 | valid |
| 248.0ms | 359× | body | 320 | nan |
| 55.0ms | 186× | body | 160 | nan |
| 111× | rewrite-expression-head |
365 calls:
| 30.2s | (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (+ (+ (* eps (* (* 1/6 a) (* (* a eps) (* a eps)))) (* a eps)) (* 1/2 (* (* a eps) (* a eps)))) (- (exp (* b eps)) 1))) |
| 18.5s | (* (+ (+ (* eps (* (* 1/6 a) (* (* a eps) (* a eps)))) (* a eps)) (* 1/2 (* (* a eps) (* a eps)))) (- (exp (* b eps)) 1)) |
| 5.8s | (- (* (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (* (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (sqrt (cbrt (+ x 1)))) (cbrt (sqrt (cbrt (+ x 1)))))))) (sqrt x)) |
| 4.7s | (- (* (cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1)))) (cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1))))) (* (cbrt x) (cbrt x))) |
| 4.2s | (* (/ (+ (* x (+ (* x (* 1/3 x)) 2)) (* (pow x 5) 1/60)) 2) (sin y)) |
| 182691× | add-sqr-sqrt |
| 86103× | times-frac |
| 80729× | *-un-lft-identity |
| 66057× | unswap-sqr |
| 60396× | cbrt-prod |
| 48826× | add-cube-cbrt |
| 44847× | sqrt-prod |
| 44016× | frac-add |
| 34399× | associate-/r* |
| 31287× | associate-/l* |
| 30628× | difference-of-squares |
| 29482× | associate-*l* |
| 28442× | associate-*r* |
| 27548× | swap-sqr |
| 14478× | cbrt-div |
| 13565× | *-commutative |
| 7532× | frac-times |
| 6610× | distribute-lft-out |
| 6536× | clear-num |
| 6526× | frac-2neg |
| 5943× | distribute-lft-out-- |
| 4935× | associate-/l/ |
| 3259× | frac-sub |
| 1758× | pow1 |
| 1597× | associate-/r/ |
| 1495× | add-cbrt-cube |
| 1449× | add-exp-log |
| 946× | div-inv |
| 666× | tan-quot |
| 658× | add-log-exp |
| 558× | flip-+ flip3-+ |
| 549× | cbrt-unprod |
| 481× | pow-prod-down |
| 478× | prod-exp |
| 354× | insert-posit16 |
| 343× | distribute-rgt-out |
| 304× | log-pow |
| 298× | cbrt-undiv |
| 295× | associate-*r/ |
| 288× | distribute-lft1-in |
| 255× | div-exp |
| 243× | associate-*l/ |
| 228× | sqrt-div |
| 227× | flip3-- flip-- |
| 202× | log-prod |
| 186× | difference-of-sqr-1 |
| 183× | pow-prod-up |
| 152× | pow-unpow |
| 137× | exp-prod |
| 125× | diff-log |
| 121× | pow-sqr |
| 114× | unpow-prod-down |
| 108× | sub-neg |
| 87× | pow-plus |
| 81× | log-div |
| 73× | *.c-commutative |
| 71× | associate-*l*.c |
| 64× | pow2 |
| 53× | sqrt-pow1 |
| 52× | +-commutative |
| 48× | pow1/3 distribute-rgt-out-- |
| 44× | distribute-rgt-in distribute-rgt-neg-in distribute-lft-in |
| 41× | sqr-pow |
| 40× | sum-log |
| 36× | pow1/2 |
| 28× | associate--l+ associate--r+ cube-prod |
| 27× | distribute-rgt1-in |
| 26× | div-sub rem-log-exp |
| 23× | associate--l- pow-exp |
| 22× | rem-sqrt-square |
| 20× | associate-+r+ |
| 18× | pow-pow pow-to-exp |
| 14× | pow-flip un-div-inv |
| 13× | 1-exp complex-mul-def |
| 11× | neg-sub0 log-rec |
| 10× | sin-sum associate-+r- rec-exp |
| 9× | cube-div |
| 8× | sin-cos-mult associate--r- |
| 7× | neg-log inv-pow |
| 6× | associate-+l+ |
| 5× | rem-cube-cbrt rem-exp-log |
| 4× | exp-sum cube-unmult sin-mult exp-to-pow tan-sum +.c-commutative cos-sum rem-cbrt-cube |
| 3× | exp-diff unpow3 distribute-frac-neg cube-mult |
| 2× | pow3 sqrt-unprod sub0-neg sqr-sin associate-+l+.c complex-add-def |
| 1× | diff-atan sqrt-undiv pow-div frac-2neg-c associate-+l- rem-square-sqrt diff-sin diff-cos |
365 calls:
| 1.2s | (- (/ (+ (tan eps) (tan x)) (/ (- (* 1 1) (* (* (tan eps) (tan x)) (* (tan eps) (tan x)))) (+ 1 (* (tan eps) (tan x))))) (tan x)) |
| 1.2s | (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (+ (+ (* eps (* (* 1/6 a) (* (* a eps) (* a eps)))) (* a eps)) (* 1/2 (* (* a eps) (* a eps)))) (- (exp (* b eps)) 1))) |
| 561.0ms | (- (/ (+ (tan eps) (tan x)) (- 1 (* (tan eps) (tan x)))) (tan x)) |
| 560.0ms | (- (/ (+ (tan eps) (tan x)) (- 1 (/ (* (sin eps) (tan x)) (cos eps)))) (tan x)) |
| 509.0ms | (log (/ (exp (sqrt (pow (+ x 1) (/ 1 n)))) (exp (pow x (/ (/ 1 n) 2))))) |
Total 13.8b remaining (15.2%)
| 5.4b | 80.8% | quadp (p42, positive) |
| 4.5b | 84.6% | quadm (p42, negative) |
| 1.2b | 86.1% | 2nthrt (problem 3.4.6) |
| 0.5b | 0% | exp2 (problem 3.3.7) |
| 0.4b | 0% | qlog (example 3.10) |