12202 calls:
| 1.5s | (/ (* (* (* c c) c) (* (* a a) a)) (* (* a a) a)) |
| 1.4s | (/ (* (* (* (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))))) |
| 1.4s | (re (+.c (+.c (+.c (+.c (+.c (+.c (*.c (*.c (*.c (*.c (*.c (complex -1 1) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1)) (*.c (*.c (*.c (*.c (*.c (complex 6 0) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1))) (*.c (*.c (*.c (*.c (complex 15 0) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1))) (*.c (*.c (*.c (complex 20 0) (complex -1 1)) (complex -1 1)) (complex -1 1))) (*.c (*.c (complex 15 0) (complex -1 1)) (complex -1 1))) (*.c (complex 6 0) (complex -1 1))) (complex 1 0))) |
| 1.3s | (/ (* (* (* (/ (sin x) x) (sin x)) (* (/ (sin x) x) (sin x))) (* (/ (sin x) x) (sin x))) (* (* (* (+ (cos x) 1) x) (* (+ (cos x) 1) x)) (* (+ (cos x) 1) x))) |
| 1.3s | (* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) (* x x)) (* x x))) |
| 56× | intervals |
| 16× | halfpoints |
| 1.2m | 66512× | body | 1280 | valid |
| 40.0s | 16978× | body | 2560 | valid |
| 29.6s | 42491× | body | 640 | valid |
| 14.5s | 12661× | body | 10240 | exit |
| 11.6s | 93713× | body | 80 | valid |
| 10.2s | 21110× | body | 320 | valid |
| 7.3s | 63554× | body | 80 | nan |
| 2.9s | 10954× | body | 160 | valid |
| 2.3s | 47441× | pre | 80 | true |
| 1.1s | 621× | body | 1280 | nan |
| 614.0ms | 478× | body | 5120 | valid |
| 518.0ms | 679× | body | 640 | nan |
| 182.0ms | 388× | body | 320 | nan |
| 77.0ms | 196× | body | 160 | nan |
383 calls:
| 1.0s | (/ (* 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))) |
| 719.0ms | (log (exp (* (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))))) |
| 552.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) |
| 529.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (log (exp (* (tan x) (tan eps)))))) (tan x)) |
| 480.0ms | (log (- 1 (* x (* x x)))) |
| 118× | rewrite-expression-head |
383 calls:
| 3.5s | (* (+ (+ (* eps (* (* 1/6 a) (* (* a eps) (* a eps)))) (* a eps)) (* 1/2 (* (* a eps) (* a eps)))) (- (exp (* b eps)) 1)) |
| 1.6s | (- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1) |
| 878.0ms | (/ (* 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))) |
| 481.0ms | (/ (+ (pow (exp x) 3) (pow 1 3)) (+ (* (exp x) (exp x)) (* (* (cbrt (- (* 1 1) (* (exp x) 1))) (cbrt (- (* 1 1) (* (exp x) 1)))) (cbrt (- (* 1 1) (* (exp x) 1)))))) |
| 359.0ms | (- (* b b) (* 4 (* a c))) |
| 5849× | times-frac |
| 5487× | *-un-lft-identity |
| 4839× | add-sqr-sqrt |
| 3461× | add-cube-cbrt |
| 2948× | sqrt-prod |
| 2437× | pow1 |
| 1612× | add-exp-log |
| 1425× | add-cbrt-cube |
| 862× | associate-*l* |
| 701× | distribute-lft-out |
| 688× | add-log-exp |
| 651× | pow-prod-down |
| 561× | pow-prod-up |
| 560× | prod-exp |
| 520× | difference-of-squares |
| 501× | cbrt-unprod |
| 448× | associate-*r* |
| 416× | associate-/l* |
| 373× | insert-posit16 |
| 317× | distribute-lft-out-- |
| 304× | associate-/r* |
| 286× | div-inv |
| 266× | pow-sqr |
| 264× | div-exp |
| 253× | flip-+ flip3-+ |
| 241× | sqrt-div |
| 239× | unpow-prod-down |
| 238× | pow-plus |
| 221× | log-prod |
| 203× | swap-sqr |
| 196× | cbrt-undiv |
| 184× | associate-*l/ |
| 180× | associate-/r/ |
| 179× | flip3-- flip-- |
| 166× | unswap-sqr |
| 156× | pow2 |
| 150× | frac-times |
| 128× | sqrt-pow1 |
| 119× | cube-prod |
| 118× | sqr-pow |
| 116× | associate-*r/ |
| 108× | sub-neg |
| 106× | diff-log |
| 100× | pow1/2 log-pow |
| 98× | *-commutative |
| 76× | cbrt-prod |
| 74× | pow-unpow |
| 70× | exp-prod |
| 67× | distribute-rgt-neg-in |
| 60× | frac-2neg clear-num |
| 55× | cbrt-div |
| 54× | sum-log associate-/l/ |
| 49× | pow-flip |
| 41× | 1-exp difference-of-sqr-1 |
| 40× | log-div |
| 38× | rec-exp |
| 35× | tan-quot frac-add |
| 31× | distribute-rgt-in distribute-lft-in |
| 29× | +-commutative |
| 28× | rem-sqrt-square distribute-lft-neg-in |
| 26× | pow1/3 inv-pow rem-log-exp |
| 20× | associate--l+ |
| 17× | neg-sub0 |
| 16× | exp-sum div-sub |
| 14× | associate--r+ |
| 13× | associate-+l+ pow-pow exp-to-pow complex-mul-def |
| 12× | cube-mult associate-+l- |
| 11× | frac-sub pow-exp neg-log pow-to-exp |
| 10× | exp-diff pow-div associate--l- |
| 9× | sqrt-unprod |
| 8× | sum-cubes rem-exp-log |
| 7× | pow3 |
| 6× | difference-cubes |
| 5× | sin-sum distribute-rgt-out-- distribute-lft1-in rem-cbrt-cube distribute-rgt-out |
| 4× | exp-neg neg-mul-1 sin-mult rem-square-sqrt un-div-inv |
| 3× | rem-cube-cbrt associate-+r+ *.c-commutative unpow3 +.c-commutative |
| 2× | associate-*l*.c associate-+r- sin-cos-mult sqr-sin tan-sum complex-add-def cos-sum associate--r- |
| 1× | diff-atan cos-mult exp-sqrt cube-unmult distribute-frac-neg sub-div distribute-neg-frac associate-+l+.c cube-div diff-sin diff-cos |
Total 19.1b remaining (15.7%)
| 3.8b | -20.5% | expq3 (problem 3.4.2) |
| 3.5b | 87.7% | quadp (p42, positive) |
| 3.3b | 88.2% | quad2p (problem 3.2.1, positive) |
| 1.3b | 84.3% | 2nthrt (problem 3.4.6) |
| 1.2b | 95.2% | quad2m (problem 3.2.1, negative) |