9927 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)))) |
| 1.4s | (/ (* (* (+ (* (- (* 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)))) |
| 1.4s | (/ (* (* (* (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))))) |
| 1.2s | (/ (* (* (* (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))))) |
| 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))) |
| 56× | intervals |
| 16× | halfpoints |
| 1.1m | 67025× | body | 1280 | valid |
| 39.7s | 17549× | body | 2560 | valid |
| 26.5s | 41666× | body | 640 | valid |
| 14.2s | 12910× | body | 10240 | exit |
| 11.8s | 93927× | body | 80 | valid |
| 9.5s | 21014× | body | 320 | valid |
| 6.5s | 62901× | body | 80 | nan |
| 3.6s | 10717× | body | 160 | valid |
| 2.7s | 47530× | pre | 80 | true |
| 899.0ms | 658× | body | 640 | nan |
| 709.0ms | 631× | body | 1280 | nan |
| 536.0ms | 467× | body | 5120 | valid |
| 209.0ms | 369× | body | 320 | nan |
| 71.0ms | 192× | body | 160 | nan |
386 calls:
| 2.0s | (- (* (/ (+ (tan x) (tan eps)) (- (pow 1 3) (pow (* (tan x) (tan eps)) 3))) (+ 1 (+ (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* (tan x) (tan eps))))) (tan x)) |
| 1.7s | (/ (* 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))))))))) |
| 667.0ms | (cbrt x) |
| 611.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (/ (* (sin x) (tan eps)) (cos x)))) (tan x)) |
| 562.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) |
| 119× | rewrite-expression-head |
386 calls:
| 522.0ms | (* (/ 1 (sqrt 2)) (* (/ (+ (* x (+ (* x (* 1/3 x)) 2)) (* (pow x 5) 1/60)) (sqrt 2)) (sin y))) |
| 347.0ms | (* (* (* (* x x) (* x x)) (* x x)) 1/360) |
| 256.0ms | (/ (* 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))))))))) |
| 251.0ms | (* x (* (* a 1/6) (* (* a x) (* a x)))) |
| 204.0ms | (* eps (* b (* (* eps b) (* eps b)))) |
| 3727× | *-un-lft-identity |
| 3641× | add-sqr-sqrt |
| 3520× | times-frac |
| 2552× | add-cube-cbrt |
| 1849× | sqrt-prod |
| 1617× | pow1 |
| 1481× | add-exp-log |
| 1306× | add-cbrt-cube |
| 712× | associate-*l* |
| 633× | add-log-exp |
| 494× | prod-exp |
| 467× | pow-prod-down |
| 437× | cbrt-unprod |
| 422× | associate-*r* |
| 375× | insert-posit16 |
| 360× | associate-/l* |
| 358× | distribute-lft-out |
| 351× | difference-of-squares |
| 319× | cbrt-prod |
| 302× | associate-/r* |
| 238× | distribute-lft-out-- |
| 234× | div-exp |
| 224× | log-prod |
| 213× | div-inv |
| 209× | flip3-- flip-- |
| 204× | associate-*l/ |
| 201× | log-pow |
| 185× | flip-+ flip3-+ |
| 172× | cbrt-undiv |
| 161× | swap-sqr |
| 152× | pow-prod-up |
| 141× | associate-/r/ |
| 140× | unswap-sqr |
| 130× | sqrt-div |
| 126× | associate-*r/ |
| 118× | sqrt-pow1 |
| 113× | frac-times |
| 106× | pow-sqr |
| 105× | sub-neg |
| 98× | pow-unpow pow1/2 |
| 95× | *-commutative |
| 93× | unpow-prod-down |
| 91× | diff-log |
| 80× | associate-/l/ |
| 72× | pow-plus |
| 70× | frac-2neg clear-num |
| 64× | tan-quot |
| 59× | distribute-rgt-neg-in |
| 58× | exp-prod |
| 57× | pow1/3 |
| 55× | distribute-rgt-out |
| 54× | pow2 |
| 53× | cbrt-div |
| 49× | distribute-rgt-in distribute-lft-in |
| 45× | log-div |
| 44× | sum-log |
| 43× | pow-flip frac-add |
| 37× | 1-exp rec-exp distribute-lft-neg-in |
| 33× | sqr-pow |
| 31× | associate--l+ |
| 30× | difference-of-sqr-1 |
| 29× | frac-sub +-commutative rem-log-exp |
| 24× | rem-sqrt-square |
| 20× | cube-prod |
| 19× | div-sub |
| 17× | inv-pow |
| 16× | associate--r+ pow-pow |
| 15× | distribute-lft1-in |
| 14× | pow-exp |
| 13× | complex-mul-def pow-to-exp |
| 11× | associate--l- |
| 10× | pow-div distribute-rgt1-in |
| 9× | associate-+l+ neg-sub0 |
| 8× | neg-log |
| 7× | neg-mul-1 |
| 6× | exp-sum distribute-rgt-out-- associate-+l- cube-mult |
| 5× | sin-sum sqrt-unprod |
| 4× | associate-+r+ sin-mult sub-div sum-cubes un-div-inv |
| 3× | rem-cube-cbrt *.c-commutative +.c-commutative cube-div |
| 2× | exp-diff associate-*l*.c associate-+r- unpow3 sqr-sin complex-add-def rem-square-sqrt cos-sum tan-sum e-exp-1 |
| 1× | remove-posit16 diff-atan cos-mult sin-cos-mult pow3 log-rec distribute-frac-neg frac-2neg-c distribute-neg-frac associate-+l+.c diff-sin diff-cos rem-cbrt-cube |
Total 25.9b remaining (20.8%)
| 4.8b | 82.9% | quadp (p42, positive) |
| 4.7b | 83.4% | quad2p (problem 3.2.1, positive) |
| 4.3b | 37.5% | 2tan (problem 3.3.2) |
| 3.3b | 0% | expq3 (problem 3.4.2) |
| 2.0b | 78.1% | 2nthrt (problem 3.4.6) |