8961 calls:
| 2.0s | (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (* (* x x) (/ (+ (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))) (* (* x x) (/ (+ (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))))) (* (* x x) (/ (+ (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))))) |
| 1.8s | (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (* (* x x) (/ (+ (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))) (* (* x x) (/ (+ (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))))) (* (* x x) (/ (+ (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))))) |
| 1.6s | (/ (* (* (* eps (- (exp (* (+ a b) eps)) 1)) (* eps (- (exp (* (+ a b) eps)) 1))) (* eps (- (exp (* (+ a b) eps)) 1))) (* (* (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))) |
| 1.5s | (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (/ (+ (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))) (/ (+ (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))) (/ (+ (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))))) |
| 1.4s | (* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) (* x x)) (* x x))) |
| 56× | intervals |
| 16× | halfpoints |
| 1.1m | 66803× | body | 1280 | valid |
| 38.5s | 17450× | body | 2560 | valid |
| 27.2s | 42512× | body | 640 | valid |
| 14.3s | 13045× | body | 10240 | exit |
| 11.8s | 94061× | body | 80 | valid |
| 8.8s | 20359× | body | 320 | valid |
| 6.8s | 63239× | body | 80 | nan |
| 2.7s | 10698× | body | 160 | valid |
| 2.0s | 47566× | pre | 80 | true |
| 697.0ms | 623× | body | 1280 | nan |
| 583.0ms | 475× | body | 5120 | valid |
| 525.0ms | 684× | body | 640 | nan |
| 170.0ms | 350× | body | 320 | nan |
| 79.0ms | 198× | body | 160 | nan |
| 111× | rewrite-expression-head |
353 calls:
| 14.1s | (- (* (* (* (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (cbrt (+ x 1)))) (* (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (cbrt (+ x 1))))) (* (* (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (cbrt (+ x 1)))) (* (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (cbrt (+ x 1)))))) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) |
| 12.6s | (/ (- (* (* (* (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (cbrt (+ x 1)))) (* (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (cbrt (+ x 1))))) (* (* (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (cbrt (+ x 1)))) (* (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (cbrt (+ x 1)))))) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (+ (* (* (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (cbrt (+ x 1)))) (* (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (cbrt (+ x 1))))) (* (cbrt x) (cbrt x)))) |
| 351.0ms | (cbrt (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (* (/ (sin x) (cos x)) (* (/ (sin eps) (cos eps)) (* (/ (sin eps) (cos eps)) (/ (sin eps) (cos eps))))))) |
| 271.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (/ (* (sin x) (sin eps)) (* (cos x) (cos eps))))) (tan x)) |
| 236.0ms | (* x (* (* a 1/6) (* (* a x) (* a x)))) |
| 3421× | *-un-lft-identity |
| 3090× | add-sqr-sqrt |
| 2874× | pow1 |
| 2718× | times-frac |
| 2006× | add-cube-cbrt |
| 1437× | add-exp-log |
| 1296× | add-cbrt-cube |
| 835× | pow-prod-up |
| 752× | cbrt-prod |
| 713× | pow-prod-down |
| 615× | add-log-exp |
| 550× | sqrt-prod |
| 507× | prod-exp |
| 470× | associate-*l* |
| 461× | cbrt-unprod |
| 438× | distribute-lft-out |
| 417× | associate-*r* |
| 375× | pow-sqr |
| 369× | difference-of-squares |
| 360× | pow-plus |
| 343× | insert-posit16 |
| 285× | log-prod |
| 265× | associate-/l* |
| 243× | distribute-lft-out-- |
| 231× | pow2 |
| 226× | associate-/r* |
| 218× | swap-sqr |
| 216× | associate-*l/ |
| 211× | div-inv |
| 210× | frac-times |
| 209× | div-exp |
| 204× | associate-*r/ |
| 177× | flip3-- flip-- |
| 174× | flip-+ flip3-+ |
| 171× | cbrt-undiv |
| 149× | unswap-sqr |
| 144× | cbrt-div |
| 139× | associate-/r/ |
| 136× | pow-unpow |
| 100× | log-pow |
| 98× | unpow-prod-down |
| 96× | exp-prod |
| 92× | sqrt-div |
| 87× | *-commutative |
| 86× | sub-neg |
| 83× | diff-log |
| 71× | associate-/l/ |
| 65× | distribute-rgt-neg-in |
| 60× | sqrt-pow1 frac-2neg clear-num |
| 56× | sum-log |
| 55× | frac-add |
| 52× | pow1/2 |
| 47× | pow1/3 |
| 44× | sqr-pow |
| 43× | distribute-lft-neg-in |
| 42× | log-div |
| 36× | +-commutative |
| 31× | difference-of-sqr-1 |
| 30× | distribute-rgt-in distribute-lft-in |
| 26× | rem-log-exp 1-exp rec-exp |
| 23× | rem-sqrt-square |
| 22× | div-sub |
| 21× | pow-flip |
| 18× | tan-quot |
| 17× | exp-sum |
| 16× | pow-exp associate--l+ pow-to-exp |
| 15× | pow-pow |
| 14× | frac-sub |
| 13× | complex-mul-def |
| 12× | sin-mult |
| 10× | neg-sub0 associate--l- associate--r+ inv-pow cube-prod |
| 9× | associate-+l+ neg-mul-1 |
| 8× | associate-+r+ neg-log |
| 7× | exp-diff exp-to-pow |
| 6× | cos-mult |
| 5× | sin-sum sqrt-unprod |
| 4× | distribute-frac-neg distribute-lft1-in un-div-inv distribute-rgt-out |
| 3× | *.c-commutative sqr-sin +.c-commutative distribute-rgt-out-- associate-+l- cos-sum cube-mult |
| 2× | associate-*l*.c rem-cube-cbrt sub0-neg pow3 unpow3 sub-div associate-+r- tan-sum rem-exp-log complex-add-def rem-square-sqrt |
| 1× | diff-atan sin-cos-mult cube-unmult sum-cubes distribute-neg-frac sqr-cos associate-+l+.c diff-sin diff-cos exp-lft-cube |
353 calls:
| 1.2s | (log (sqrt (exp (* (* x x) (* x x))))) |
| 667.0ms | (log (sqrt (exp (* (* x x) (* x x))))) |
| 610.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) |
| 586.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (/ (* (sin x) (sin eps)) (* (cos x) (cos eps))))) (tan x)) |
| 458.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (cbrt (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (* (/ (sin x) (cos x)) (* (/ (sin eps) (cos eps)) (* (/ (sin eps) (cos eps)) (/ (sin eps) (cos eps))))))))) (tan x)) |
Total 20.9b remaining (17%)
| 5.1b | 78.6% | quad2m (problem 3.2.1, negative) |
| 4.4b | 81% | quad2p (problem 3.2.1, positive) |
| 3.1b | 72.1% | 2nthrt (problem 3.4.6) |
| 1.4b | 93.9% | quadp (p42, positive) |
| 0.9b | 96.1% | quadm (p42, negative) |