12296 calls:
| 1.6s | (* (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (cos x) (cos x)) (cos x))) (/ (* (* (sin eps) (sin eps)) (sin eps)) (* (* (cos eps) (cos eps)) (cos eps)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* (cos x) (cos x)) (cos x))) (/ (* (* (sin eps) (sin eps)) (sin eps)) (* (* (cos eps) (cos eps)) (cos eps))))) |
| 1.6s | (/ (* (* (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))) (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))) (* (* (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x)) (* (* (- x 1) (- x 1)) (- x 1)))) |
| 1.5s | (/ (* (* (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))) (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))) (* (* (* (* (+ x 1) x) (- x 1)) (* (* (+ x 1) x) (- x 1))) (* (* (+ x 1) x) (- x 1)))) |
| 1.5s | (/ (* (* (* (* x x) (+ 1 (cos x))) (* (* x x) (+ 1 (cos x)))) (* (* x x) (+ 1 (cos x)))) (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x)))) |
| 1.4s | (/ (* (* (* (* x x) (+ 1 (cos x))) (* (* x x) (+ 1 (cos x)))) (* (* x x) (+ 1 (cos x)))) (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x)))) |
| 56× | intervals |
| 16× | halfpoints |
| 1.1m | 67225× | body | 1280 | valid |
| 37.8s | 17016× | body | 2560 | valid |
| 26.5s | 42232× | body | 640 | valid |
| 13.4s | 12655× | body | 10240 | exit |
| 11.0s | 93909× | body | 80 | valid |
| 9.1s | 20460× | body | 320 | valid |
| 8.1s | 63978× | body | 80 | nan |
| 3.3s | 10889× | body | 160 | valid |
| 2.3s | 47284× | pre | 80 | true |
| 932.0ms | 691× | body | 640 | nan |
| 756.0ms | 668× | body | 1280 | nan |
| 502.0ms | 456× | body | 5120 | valid |
| 187.0ms | 410× | body | 320 | nan |
| 46.0ms | 164× | body | 160 | nan |
376 calls:
| 1.2s | (- (* (/ (+ (tan x) (tan eps)) (- (* 1 1) (* (* (tan x) (tan eps)) (* (tan x) (tan eps))))) (+ 1 (* (tan x) (tan eps)))) (tan x)) |
| 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))) |
| 543.0ms | (log (- 1 (* (* x x) x))) |
| 509.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) |
| 457.0ms | (cbrt (* (cbrt x) (cbrt x))) |
| 114× | rewrite-expression-head |
376 calls:
| 1.8s | (/ (- (* -1/3 (pow x 9)) (+ (* x (* x x)) (* (* (* (* x x) (* x x)) (* x x)) 1/2))) (log (+ x 1))) |
| 1.2s | (+ (+ (* eps (* (* 1/6 a) (* (* a eps) (* a eps)))) (* a eps)) (* 1/2 (* (* a eps) (* a eps)))) |
| 866.0ms | (/ (* 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))) |
| 421.0ms | (- (/ 1 (* n x)) (/ (- (log x)) (* n (* n x)))) |
| 358.0ms | (/ 1 (+ 1 eps)) |
| 6155× | times-frac |
| 5662× | *-un-lft-identity |
| 4703× | add-sqr-sqrt |
| 3666× | add-cube-cbrt |
| 3532× | sqrt-prod |
| 1649× | add-exp-log |
| 1487× | pow1 |
| 1448× | add-cbrt-cube |
| 755× | distribute-lft-out |
| 700× | associate-*l* |
| 637× | add-log-exp |
| 566× | prod-exp |
| 498× | cbrt-unprod |
| 481× | associate-/l* |
| 461× | pow-prod-down |
| 418× | associate-*r* |
| 364× | insert-posit16 |
| 347× | difference-of-squares |
| 336× | flip3-- flip-- |
| 303× | div-exp |
| 301× | associate-/r* |
| 295× | div-inv |
| 283× | frac-times |
| 264× | associate-*l/ |
| 262× | distribute-lft-out-- |
| 230× | cbrt-undiv |
| 228× | log-prod |
| 198× | associate-*r/ |
| 183× | flip-+ flip3-+ |
| 176× | sqrt-div |
| 170× | frac-sub |
| 168× | pow-prod-up |
| 167× | associate-/r/ |
| 160× | sqrt-pow1 |
| 154× | pow-unpow |
| 148× | swap-sqr |
| 146× | associate-/l/ |
| 130× | unswap-sqr |
| 123× | exp-neg |
| 117× | neg-sub0 |
| 114× | distribute-rgt-neg-in |
| 112× | exp-diff pow1/2 |
| 106× | exp-prod |
| 104× | pow-sqr |
| 95× | sub-neg |
| 93× | distribute-lft-neg-in |
| 92× | *-commutative |
| 91× | cbrt-prod |
| 87× | diff-log |
| 86× | unpow-prod-down |
| 72× | cbrt-div |
| 69× | frac-2neg clear-num |
| 62× | pow-plus |
| 58× | sum-log tan-quot |
| 54× | log-pow |
| 47× | pow-flip |
| 44× | pow2 frac-add |
| 42× | log-div |
| 40× | 1-exp rec-exp |
| 38× | distribute-rgt-in distribute-lft-in |
| 36× | rem-sqrt-square |
| 35× | +-commutative |
| 33× | sqr-pow |
| 30× | pow1/3 |
| 29× | difference-of-sqr-1 |
| 26× | associate-+r+ |
| 23× | associate-+l+ |
| 22× | associate--l+ rem-log-exp |
| 21× | neg-mul-1 |
| 20× | div-sub |
| 19× | un-div-inv cube-prod |
| 18× | inv-pow |
| 16× | pow-div exp-sum |
| 13× | complex-mul-def |
| 12× | associate-+l- |
| 11× | pow-exp pow-pow pow-to-exp |
| 10× | sin-mult |
| 9× | associate--r+ |
| 8× | associate--l- sqrt-unprod distribute-rgt-out-- |
| 7× | neg-log |
| 6× | sin-cos-mult |
| 5× | sin-sum distribute-lft1-in cube-mult distribute-rgt-out |
| 4× | distribute-frac-neg sum-cubes |
| 3× | *.c-commutative log-rec sub-div sqr-sin +.c-commutative rem-exp-log rem-square-sqrt |
| 2× | associate-*l*.c associate-+r- tan-sum frac-2neg-c distribute-neg-frac cos-sum complex-add-def |
| 1× | diff-atan rem-cube-cbrt sub0-neg pow3 unpow3 diff-sin associate-+l+.c diff-cos unsub-neg associate--r- |
Total 21.5b remaining (19.6%)
| 4.5b | 83.7% | quad2p (problem 3.2.1, positive) |
| 3.1b | 87.9% | quadm (p42, negative) |
| 3.0b | 0% | expq3 (problem 3.4.2) |
| 2.6b | 90.1% | quad2m (problem 3.2.1, negative) |
| 1.4b | 84.7% | 2nthrt (problem 3.4.6) |