4221 calls:
| 1.2s | (im (+.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))) |
| 1.1s | (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))) |
| 1.1s | (/ (* (* (* (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))))) |
| 1.1s | (+ (* (* (- (pow (* 1 x) 3) (pow (* (+ x 1) 2) 3)) (- (* x x) (* 1 1))) (+ (* x x) (- (* 1 1) (* x 1)))) (* (* (+ (* (* 1 x) (* 1 x)) (+ (* (* (+ x 1) 2) (* (+ x 1) 2)) (* (* 1 x) (* (+ x 1) 2)))) (+ x 1)) (* (* (+ (pow x 3) (pow 1 3)) x) 1))) |
| 1.0s | (* (+ (exp (* a eps)) 1) (+ (* (* eps b) (* eps b)) (- (* (+ (* 1/2 (* (* eps b) (* eps b))) (* 1/6 (* (* (* eps b) (* eps b)) (* eps b)))) (+ (* 1/2 (* (* eps b) (* eps b))) (* 1/6 (* (* (* eps b) (* eps b)) (* eps b))))) (* (* eps b) (+ (* 1/2 (* (* eps b) (* eps b))) (* 1/6 (* (* (* eps b) (* eps b)) (* eps b)))))))) |
| 56× | intervals |
| 16× | halfpoints |
| 1.1m | 66524× | body | 1280 | valid |
| 40.6s | 17470× | body | 2560 | valid |
| 27.3s | 41703× | body | 640 | valid |
| 14.8s | 12861× | body | 10240 | exit |
| 11.7s | 94134× | body | 80 | valid |
| 9.6s | 21001× | body | 320 | valid |
| 7.1s | 63128× | body | 80 | nan |
| 2.8s | 10907× | body | 160 | valid |
| 2.0s | 47441× | pre | 80 | true |
| 804.0ms | 698× | body | 1280 | nan |
| 482.0ms | 456× | body | 5120 | valid |
| 466.0ms | 645× | body | 640 | nan |
| 172.0ms | 369× | body | 320 | nan |
| 86.0ms | 212× | body | 160 | nan |
402 calls:
| 1.4s | (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (+ (* eps b) (+ (* 1/2 (* (* eps b) (* eps b))) (* 1/6 (* (* (* eps b) (* eps b)) (* eps b))))))) |
| 1.3s | (cbrt (* (* 1/2 c) (/ 4 (- (sqrt (+ (* c (* -4 a)) (* b b))) b)))) |
| 1.1s | (- (* (/ (+ (tan x) (tan eps)) (- (* 1 1) (* (* (tan x) (tan eps)) (* (tan x) (tan eps))))) (+ 1 (* (tan x) (tan eps)))) (tan x)) |
| 1.0s | (- (* (/ (+ (tan x) (tan eps)) (- (* 1 1) (/ (* (* (tan x) (sin eps)) (* (tan x) (sin eps))) (* (cos eps) (cos eps))))) (+ 1 (* (tan x) (tan eps)))) (tan x)) |
| 941.0ms | (cbrt (/ c (- (sqrt (- (* b_2 b_2) (* a c))) b_2))) |
| 121× | rewrite-expression-head |
402 calls:
| 279.0ms | (* (+ (+ (* (* (* a eps) (* (* a eps) (* a eps))) 1/6) (* a eps)) (* 1/2 (* (* a eps) (* a eps)))) (- (exp (* b eps)) 1)) |
| 204.0ms | (- (+ (+ 1 (- (log n) (/ 1/6 (* n n)))) (/ 1/2 n)) 1) |
| 118.0ms | (+ (+ (* (* (* a eps) (* (* a eps) (* a eps))) 1/6) (* a eps)) (* 1/2 (* (* a eps) (* a eps)))) |
| 80.0ms | (+ (+ (* (exp x) (- (* (exp x) (exp x)) 4)) 2) (exp x)) |
| 75.0ms | (cbrt (+ (+ (* (* (* a eps) (* (* a eps) (* a eps))) 1/6) (* a eps)) (* 1/2 (* (* a eps) (* a eps))))) |
| 1022× | add-sqr-sqrt |
| 1007× | *-un-lft-identity |
| 827× | add-cube-cbrt |
| 794× | pow1 |
| 640× | add-exp-log |
| 608× | add-cbrt-cube |
| 559× | add-log-exp |
| 391× | insert-posit16 |
| 283× | times-frac |
| 236× | associate-*r* |
| 223× | flip-+ flip3-+ |
| 217× | associate-*l* |
| 189× | flip3-- flip-- |
| 186× | associate-*l/ |
| 160× | sqrt-prod |
| 158× | associate-/r/ |
| 144× | log-prod |
| 142× | associate-/r* |
| 138× | cbrt-prod div-inv |
| 126× | pow-prod-down associate-/l* |
| 125× | sqrt-div associate-*r/ |
| 114× | frac-times |
| 113× | log-pow |
| 109× | sub-neg |
| 100× | cbrt-div |
| 98× | *-commutative prod-exp |
| 91× | cbrt-unprod |
| 81× | difference-of-squares |
| 79× | distribute-lft-out-- |
| 72× | tan-quot |
| 65× | pow-prod-up |
| 64× | pow1/3 |
| 61× | frac-2neg clear-num associate-/l/ |
| 60× | pow1/2 |
| 57× | diff-log |
| 51× | log-div |
| 42× | distribute-lft-out |
| 40× | pow-plus |
| 39× | +-commutative |
| 37× | frac-add |
| 36× | div-exp |
| 35× | pow2 |
| 34× | sum-log |
| 32× | cbrt-undiv rem-sqrt-square |
| 30× | distribute-rgt-in distribute-lft-in |
| 29× | associate--l+ |
| 26× | rem-log-exp |
| 23× | exp-prod |
| 22× | unpow-prod-down |
| 20× | frac-sub associate-+r+ difference-of-sqr-1 |
| 19× | pow-flip div-sub |
| 18× | rec-exp |
| 17× | associate-+l+ |
| 16× | pow-unpow |
| 13× | inv-pow complex-mul-def associate-+l- |
| 11× | exp-sum |
| 9× | exp-diff associate--l- |
| 7× | sqrt-unprod sin-mult |
| 6× | pow-to-exp |
| 5× | associate-+r- |
| 4× | neg-sub0 pow-exp pow-pow rem-square-sqrt |
| 3× | *.c-commutative cube-prod +.c-commutative distribute-rgt-out-- |
| 2× | associate-*l*.c cos-mult sin-sum distribute-lft1-in associate--r+ sqr-sin un-div-inv complex-add-def cos-sum tan-sum |
| 1× | diff-atan rem-cube-cbrt cube-unmult sub0-neg pow3 unpow3 distribute-frac-neg frac-2neg-c exp-to-pow rem-exp-log unpow1/3 sqr-cos associate-+l+.c diff-sin cube-mult rem-cbrt-cube diff-cos associate--r- |
Total 17.6b remaining (14.3%)
| 4.3b | 84.5% | quadp (p42, positive) |
| 2.4b | 0% | expq3 (problem 3.4.2) |
| 1.6b | 81.2% | 2nthrt (problem 3.4.6) |
| 1.3b | 94.4% | quadm (p42, negative) |
| 1.1b | 95.3% | quad2m (problem 3.2.1, negative) |