10089 calls:
| 1.6s | (* (* (* (+ (+ (* eps (* (* 1/6 a) (* (* a eps) (* a eps)))) (* a eps)) (* 1/2 (* (* a eps) (* a eps)))) (+ (+ (* eps (* (* 1/6 a) (* (* a eps) (* a eps)))) (* a eps)) (* 1/2 (* (* a eps) (* a eps))))) (+ (+ (* eps (* (* 1/6 a) (* (* a eps) (* a eps)))) (* a eps)) (* 1/2 (* (* a eps) (* a eps))))) (* (* (- (exp (* b eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* b eps)) 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)))) |
| 1.3s | (/ (* (* (- 0 (* a c)) (- 0 (* a c))) (- 0 (* a c))) (* (* a a) a)) |
| 1.3s | (/ (* (* (+ (* (- (* 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)))) |
| 1.3s | (* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) (* x x)) (* x x))) |
| 56× | intervals |
| 16× | halfpoints |
| 1.0m | 66365× | body | 1280 | valid |
| 39.4s | 17581× | body | 2560 | valid |
| 26.8s | 42516× | body | 640 | valid |
| 12.3s | 12771× | body | 10240 | exit |
| 11.0s | 94012× | body | 80 | valid |
| 8.6s | 20524× | body | 320 | valid |
| 7.2s | 63432× | body | 80 | nan |
| 2.8s | 10653× | body | 160 | valid |
| 2.5s | 47339× | pre | 80 | true |
| 923.0ms | 695× | body | 640 | nan |
| 797.0ms | 645× | body | 1280 | nan |
| 487.0ms | 479× | body | 5120 | valid |
| 193.0ms | 354× | body | 320 | nan |
| 53.0ms | 192× | body | 160 | nan |
390 calls:
| 1.3s | (- (* (/ (+ (tan x) (tan eps)) (- (* 1 1) (* (* (tan x) (tan eps)) (* (tan x) (tan eps))))) (+ 1 (* (tan x) (tan eps)))) (tan x)) |
| 674.0ms | (* n (log n)) |
| 524.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) |
| 407.0ms | (- (* b b) (* 4 (* a c))) |
| 388.0ms | (cbrt (+ (+ (* a x) (* x (* (* a 1/6) (* (* a x) (* a x))))) (* (* 1/2 (* a x)) (* a x)))) |
| 119× | rewrite-expression-head |
390 calls:
| 3.8s | (* (+ (+ (* eps (* (* 1/6 a) (* (* a eps) (* a eps)))) (* a eps)) (* 1/2 (* (* a eps) (* a eps)))) (- (exp (* b eps)) 1)) |
| 944.0ms | (- (+ (/ 1/2 n) (+ 1 (+ (log n) (/ -1/6 (* n n))))) 1) |
| 473.0ms | (- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x)))) |
| 259.0ms | (* eps (* (* 1/6 a) (* (* a eps) (* a eps)))) |
| 246.0ms | (/ (log (exp (+ (* (- (* (exp x) (exp x)) 3) (exp x)) 2))) (* (+ (exp x) 2) (exp x))) |
| 3822× | *-un-lft-identity |
| 3492× | add-sqr-sqrt |
| 3253× | times-frac |
| 2506× | pow1 |
| 2268× | add-cube-cbrt |
| 1956× | add-exp-log |
| 1840× | add-cbrt-cube |
| 986× | sqrt-prod |
| 793× | prod-exp |
| 776× | pow-prod-down |
| 749× | cbrt-unprod |
| 703× | add-log-exp |
| 697× | associate-*l* |
| 524× | distribute-lft-out |
| 507× | pow-prod-up |
| 421× | associate-*r* |
| 404× | difference-of-squares |
| 379× | insert-posit16 |
| 323× | div-exp |
| 317× | associate-/l* |
| 291× | associate-/r* |
| 283× | cbrt-undiv |
| 256× | pow-sqr |
| 254× | distribute-lft-out-- |
| 233× | unpow-prod-down |
| 222× | pow-plus |
| 221× | associate-*l/ |
| 205× | log-prod |
| 203× | div-inv |
| 197× | flip3-- flip-- |
| 188× | flip-+ flip3-+ |
| 172× | unswap-sqr |
| 156× | cbrt-prod |
| 153× | frac-times |
| 144× | pow2 |
| 128× | associate-*r/ |
| 126× | cube-prod |
| 122× | associate-/r/ |
| 119× | swap-sqr |
| 107× | sub-neg |
| 102× | sqrt-div *-commutative |
| 101× | diff-log |
| 84× | pow-unpow exp-prod |
| 79× | associate-/l/ |
| 71× | sum-log |
| 65× | distribute-rgt-neg-in |
| 64× | frac-2neg clear-num |
| 61× | sqr-pow |
| 59× | tan-quot |
| 55× | log-pow |
| 50× | sqrt-pow1 pow1/2 |
| 46× | distribute-rgt-in distribute-lft-in |
| 45× | frac-add |
| 43× | distribute-lft-neg-in |
| 40× | +-commutative |
| 37× | log-div |
| 35× | associate--l+ |
| 32× | cbrt-div |
| 31× | difference-of-sqr-1 |
| 30× | cube-mult |
| 28× | sum-cubes |
| 26× | associate--r+ rem-sqrt-square |
| 25× | 1-exp rec-exp |
| 24× | pow-flip |
| 23× | rem-log-exp |
| 21× | pow1/3 |
| 20× | div-sub |
| 16× | frac-sub |
| 15× | associate-+l+ pow-exp |
| 13× | associate--l- pow-to-exp complex-mul-def |
| 12× | neg-sub0 |
| 11× | exp-sum inv-pow |
| 9× | neg-mul-1 pow-pow |
| 8× | associate-+r+ neg-log |
| 7× | distribute-rgt-out |
| 6× | distribute-lft1-in rem-exp-log associate-+l- distribute-rgt-out-- |
| 5× | sin-sum |
| 4× | rem-cube-cbrt distribute-frac-neg sqrt-unprod sin-mult un-div-inv associate--r- distribute-rgt1-in |
| 3× | *.c-commutative exp-to-pow +.c-commutative |
| 2× | exp-diff cos-mult exp-neg sub0-neg pow3 unpow3 sub-div sqr-sin complex-add-def rem-square-sqrt cos-sum tan-sum associate-*l*.c e-exp-1 |
| 1× | diff-atan sin-cos-mult associate-+r- frac-2neg-c distribute-neg-frac diff-sin associate-+l+.c cube-div rem-cbrt-cube diff-cos |
Total 20.3b remaining (13.2%)
| 4.9b | 56.3% | 2nthrt (problem 3.4.6) |
| 4.5b | 49.7% | expq3 (problem 3.4.2) |
| 1.6b | 93.6% | quadp (p42, positive) |
| 1.4b | 94.3% | quad2p (problem 3.2.1, positive) |
| 1.3b | 94.4% | quadm (p42, negative) |