12258 calls:
| 1.7s | (/ (* (* (+ (* (- (* 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 | (/ (* (* (* (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))))) |
| 1.5s | (* (/ (* (* 1 1) 1) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (/ (* (* (+ (* x (+ (* x (* 1/3 x)) 2)) (* (pow x 5) 1/60)) (+ (* x (+ (* x (* 1/3 x)) 2)) (* (pow x 5) 1/60))) (+ (* x (+ (* x (* 1/3 x)) 2)) (* (pow x 5) 1/60))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (sin y) (sin y)) (sin y)))) |
| 1.4s | (/ (* (* (+ (* (- (* 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)))) |
| 1.3s | (/ (* (* 1 1) 1) (/ (* (* (* (* x x) (* x x)) (* x x)) (* (* (+ 1 (cos x)) (+ 1 (cos 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 |
| 39.6s | 17016× | body | 2560 | valid |
| 26.3s | 42232× | body | 640 | valid |
| 13.6s | 12655× | body | 10240 | exit |
| 10.6s | 93909× | body | 80 | valid |
| 8.5s | 20460× | body | 320 | valid |
| 6.8s | 63978× | body | 80 | nan |
| 3.0s | 10889× | body | 160 | valid |
| 1.9s | 47284× | pre | 80 | true |
| 733.0ms | 668× | body | 1280 | nan |
| 569.0ms | 410× | body | 320 | nan |
| 537.0ms | 691× | body | 640 | nan |
| 416.0ms | 456× | body | 5120 | valid |
| 45.0ms | 164× | body | 160 | nan |
376 calls:
| 1.3s | (- (* (/ (+ (tan x) (tan eps)) (- (* 1 1) (* (* (tan x) (tan eps)) (* (tan x) (tan eps))))) (+ 1 (* (tan x) (tan eps)))) (tan x)) |
| 987.0ms | (/ (* 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))) |
| 471.0ms | (log (- 1 (* (* x x) x))) |
| 465.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) |
| 443.0ms | (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))) |
| 1.3s | (+ (+ (* eps (* (* 1/6 a) (* (* a eps) (* a eps)))) (* a eps)) (* 1/2 (* (* a eps) (* a eps)))) |
| 877.0ms | (/ (* 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))) |
| 371.0ms | (* (* (* (* x x) (* x x)) (* x x)) 1/360) |
| 209.0ms | (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) |
| 6105× | times-frac |
| 5622× | *-un-lft-identity |
| 4671× | add-sqr-sqrt |
| 3638× | add-cube-cbrt |
| 3488× | sqrt-prod |
| 1649× | add-exp-log |
| 1493× | pow1 |
| 1448× | add-cbrt-cube |
| 751× | distribute-lft-out |
| 695× | associate-*l* |
| 637× | add-log-exp |
| 566× | prod-exp |
| 498× | cbrt-unprod |
| 481× | associate-/l* |
| 461× | pow-prod-down |
| 423× | associate-*r* |
| 364× | insert-posit16 |
| 347× | difference-of-squares |
| 336× | flip3-- flip-- |
| 303× | div-exp |
| 301× | associate-/r* |
| 295× | div-inv |
| 283× | frac-times |
| 263× | associate-*l/ |
| 262× | distribute-lft-out-- |
| 230× | cbrt-undiv |
| 206× | log-prod |
| 199× | associate-*r/ |
| 187× | flip-+ flip3-+ |
| 180× | sqrt-div |
| 172× | pow-prod-up |
| 170× | frac-sub |
| 167× | associate-/r/ |
| 166× | sqrt-pow1 |
| 154× | pow-unpow |
| 148× | swap-sqr |
| 146× | associate-/l/ |
| 130× | unswap-sqr |
| 123× | exp-neg |
| 118× | pow1/2 |
| 117× | neg-sub0 |
| 114× | distribute-rgt-neg-in |
| 112× | exp-diff |
| 106× | exp-prod 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 |
| 68× | pow-plus |
| 58× | sum-log tan-quot |
| 54× | log-pow |
| 47× | pow-flip |
| 44× | pow2 frac-add log-div |
| 40× | 1-exp rec-exp |
| 38× | distribute-rgt-in distribute-lft-in |
| 35× | +-commutative |
| 34× | rem-sqrt-square |
| 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) |