11571 calls:
| 1.7s | (/ (* (* (- 0 (* a c)) (- 0 (* a c))) (- 0 (* a c))) (* (* a a) a)) |
| 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 | (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))) |
| 1.4s | (* (* (/ (* (* (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) (cos x)) (/ (sin eps) (cos eps))) (* (/ (sin x) (cos x)) (/ (sin eps) (cos eps)))) (* (/ (sin x) (cos x)) (/ (sin eps) (cos eps))))) |
| 1.4s | (re (+.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 | 66345× | body | 1280 | valid |
| 41.9s | 18017× | body | 2560 | valid |
| 27.5s | 42393× | body | 640 | valid |
| 13.9s | 12720× | body | 10240 | exit |
| 10.7s | 20654× | body | 320 | valid |
| 10.5s | 93427× | body | 80 | valid |
| 6.3s | 63700× | body | 80 | nan |
| 3.0s | 10654× | body | 160 | valid |
| 2.1s | 47219× | pre | 80 | true |
| 803.0ms | 699× | body | 1280 | nan |
| 623.0ms | 445× | body | 5120 | valid |
| 476.0ms | 625× | body | 640 | nan |
| 165.0ms | 347× | body | 320 | nan |
| 75.0ms | 176× | body | 160 | nan |
387 calls:
| 1.8s | (/ (* 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))))))))) |
| 1.1s | (- (* (/ (+ (tan x) (tan eps)) (- (* 1 1) (* (* (tan x) (tan eps)) (* (tan x) (tan eps))))) (+ 1 (* (tan x) (tan eps)))) (tan x)) |
| 823.0ms | (- (pow (exp (* (cbrt x) (cbrt x))) (* (cbrt x) 3)) (pow 1 3)) |
| 495.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) |
| 466.0ms | (sqrt (- (* b_2 b_2) (* a c))) |
| 119× | rewrite-expression-head |
387 calls:
| 1.9s | (- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1) |
| 357.0ms | (* (* (* (* x x) (* x x)) (* x x)) 1/360) |
| 307.0ms | (* (sqrt (- (- (exp x) 2) (/ -1 (exp x)))) (sqrt (- (- (exp x) 2) (/ -1 (exp x))))) |
| 305.0ms | (/ (sqrt (+ (exp (+ x (+ x x))) 1)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) |
| 293.0ms | (/ 1 (* (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt (+ x 1)))))) |
| 4865× | *-un-lft-identity |
| 4111× | add-sqr-sqrt |
| 3997× | times-frac |
| 2729× | add-cube-cbrt |
| 2077× | pow1 |
| 1948× | add-exp-log |
| 1884× | sqrt-prod |
| 1737× | add-cbrt-cube |
| 808× | distribute-lft-out |
| 764× | prod-exp |
| 720× | pow-prod-down |
| 681× | cbrt-unprod |
| 674× | add-log-exp |
| 558× | associate-*l* |
| 517× | difference-of-squares |
| 502× | associate-*r* |
| 375× | insert-posit16 |
| 358× | associate-/l* |
| 331× | div-exp |
| 330× | log-prod |
| 326× | associate-/r* |
| 319× | cbrt-prod |
| 305× | distribute-lft-out-- |
| 303× | div-inv |
| 298× | swap-sqr |
| 274× | sqrt-div |
| 262× | cbrt-undiv |
| 259× | pow-prod-up |
| 251× | frac-times flip-+ flip3-+ |
| 229× | associate-*l/ |
| 223× | unpow-prod-down |
| 219× | associate-*r/ |
| 203× | flip3-- flip-- |
| 182× | unswap-sqr |
| 181× | pow-sqr |
| 173× | associate-/r/ |
| 133× | exp-prod |
| 128× | sqr-pow |
| 113× | sqrt-pow1 pow-plus |
| 110× | cube-prod |
| 106× | pow-unpow diff-log |
| 105× | *-commutative |
| 99× | sub-neg |
| 90× | associate-/l/ |
| 89× | pow1/2 |
| 85× | cbrt-div |
| 80× | pow2 |
| 76× | frac-sub frac-add |
| 70× | frac-2neg clear-num log-pow |
| 63× | distribute-rgt-neg-in |
| 59× | tan-quot |
| 58× | pow-flip |
| 57× | pow1/3 |
| 55× | sum-log |
| 43× | distribute-lft-neg-in |
| 42× | 1-exp rec-exp |
| 32× | distribute-rgt-in distribute-lft-in |
| 31× | pow-pow |
| 28× | pow-exp difference-of-sqr-1 +-commutative |
| 27× | associate--l+ |
| 25× | rem-log-exp |
| 24× | rem-sqrt-square |
| 22× | inv-pow |
| 20× | un-div-inv |
| 19× | pow-to-exp div-sub |
| 16× | log-div |
| 15× | distribute-rgt-out |
| 14× | associate--l- distribute-lft1-in associate--r+ |
| 13× | complex-mul-def |
| 11× | associate-+l+ |
| 10× | neg-sub0 cube-mult |
| 9× | neg-mul-1 |
| 8× | rem-cube-cbrt |
| 7× | neg-log rem-exp-log |
| 6× | pow-div sqrt-unprod difference-cubes rem-square-sqrt e-exp-1 |
| 5× | sin-sum |
| 4× | associate-+r+ unpow3 sin-mult associate-+l- distribute-rgt1-in |
| 3× | distribute-rgt-out-- exp-sum *.c-commutative distribute-frac-neg +.c-commutative |
| 2× | associate-+r- sin-cos-mult sub-div sqr-sin tan-sum frac-2neg-c exp-to-pow cos-sum cube-div associate-*l*.c associate--r- complex-add-def |
| 1× | quot-tan exp-diff diff-atan sqrt-undiv sub0-neg pow3 distribute-neg-frac diff-sin associate-+l+.c diff-cos |
Total 19.4b remaining (18%)
| 4.3b | 84.7% | quadp (p42, positive) |
| 3.2b | 0% | expq3 (problem 3.4.2) |
| 1.7b | 93.1% | quad2p (problem 3.2.1, positive) |
| 1.6b | 93.2% | quadm (p42, negative) |
| 1.6b | 93.3% | quad2m (problem 3.2.1, negative) |