5567 calls:
| 1.5s | (/ (* (* (* (+ (* (- x 1) (- (/ 1 (+ x 1)) (/ 2 x))) 1) (+ (/ 1 (+ x 1)) (/ 2 x))) (* (+ (* (- x 1) (- (/ 1 (+ x 1)) (/ 2 x))) 1) (+ (/ 1 (+ x 1)) (/ 2 x)))) (* (+ (* (- x 1) (- (/ 1 (+ x 1)) (/ 2 x))) 1) (+ (/ 1 (+ x 1)) (/ 2 x)))) (* (* (* (+ (/ 1 (+ x 1)) (/ 2 x)) (- x 1)) (* (+ (/ 1 (+ x 1)) (/ 2 x)) (- x 1))) (* (+ (/ 1 (+ x 1)) (/ 2 x)) (- x 1)))) |
| 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))) |
| 1.1s | (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))) |
| 1.1s | (/ (* (* (* 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)))) |
| 1.0s | (cbrt (* (* (+ (pow (exp x) 3) (pow 1 3)) (- (* (exp x) (exp x)) (* 1 1))) (- (* (exp x) (exp x)) (* 1 1)))) |
| 56× | intervals |
| 16× | halfpoints |
| 1.1m | 66937× | body | 1280 | valid |
| 42.5s | 17805× | body | 2560 | valid |
| 27.1s | 41960× | body | 640 | valid |
| 14.7s | 12470× | body | 10240 | exit |
| 11.5s | 94031× | body | 80 | valid |
| 8.6s | 20299× | body | 320 | valid |
| 7.3s | 64141× | body | 80 | nan |
| 2.6s | 10402× | body | 160 | valid |
| 1.8s | 47376× | pre | 80 | true |
| 806.0ms | 667× | body | 1280 | nan |
| 609.0ms | 693× | body | 640 | nan |
| 518.0ms | 488× | body | 5120 | valid |
| 155.0ms | 336× | body | 320 | nan |
| 53.0ms | 192× | body | 160 | nan |
388 calls:
| 441.0ms | (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin x) (sin eps)) (* (cos x) (cos eps)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin x) (sin eps)) (* (cos x) (cos eps))))))) (/ (sin x) (cos x))) |
| 423.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) |
| 423.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (/ (* (sin x) (sin eps)) (* (cos x) (cos eps))))) (tan x)) |
| 381.0ms | (+ 1 (- (log n) (/ 1/6 (* n n)))) |
| 356.0ms | (- x (sin x)) |
Total 18.8b remaining (15.6%)
| 4.0b | 85.6% | quad2p (problem 3.2.1, positive) |
| 3.3b | 88% | quadp (p42, positive) |
| 3.3b | 0% | expq3 (problem 3.4.2) |
| 1.5b | 83.3% | 2nthrt (problem 3.4.6) |
| 1.0b | 95.8% | quadm (p42, negative) |
| 121× | rewrite-expression-head |
388 calls:
| 208.0ms | (/ (- (- (- (* -1/2 (pow x 4)) (* x x)) (* (pow x 6) 1/3)) (log (+ 1 x))) (log (+ 1 x))) |
| 203.0ms | (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin x) (sin eps)) (* (cos x) (cos eps)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin x) (sin eps)) (* (cos x) (cos eps))))))) (/ (sin x) (cos x))) |
| 176.0ms | (- (+ (+ 1 (- (log n) (/ 1/6 (* n n)))) (/ 1/2 n)) 1) |
| 119.0ms | (- (* (* (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (cbrt (+ x 1)))) (* (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (cbrt (+ x 1))))) (* (sqrt x) (sqrt x))) |
| 107.0ms | (* (* (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (cbrt (+ x 1)))) (* (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (cbrt (+ x 1))))) |
| 3104× | cbrt-div |
| 2368× | frac-times |
| 2348× | sqrt-div |
| 1714× | flip-+ flip3-+ |
| 1046× | *-un-lft-identity |
| 987× | add-sqr-sqrt |
| 909× | associate-*l/ |
| 799× | add-cube-cbrt |
| 668× | add-exp-log |
| 663× | pow1 |
| 603× | add-cbrt-cube |
| 560× | associate-*r/ |
| 527× | add-log-exp |
| 377× | insert-posit16 |
| 356× | times-frac |
| 205× | div-inv |
| 204× | associate-/r* |
| 184× | flip3-- associate-*l* flip-- associate-*r* |
| 176× | associate-/r/ |
| 155× | associate-/l* |
| 119× | cbrt-prod |
| 104× | sqrt-prod distribute-lft-out-- |
| 92× | associate-/l/ |
| 90× | log-pow sub-neg |
| 89× | log-prod prod-exp |
| 82× | frac-2neg clear-num |
| 80× | cbrt-unprod |
| 79× | pow-prod-down *-commutative |
| 78× | distribute-lft-out |
| 74× | difference-of-squares |
| 67× | pow1/3 |
| 60× | div-exp |
| 54× | cbrt-undiv |
| 52× | frac-sub |
| 51× | pow1/2 |
| 48× | diff-log |
| 44× | log-div |
| 39× | pow-prod-up |
| 37× | frac-add |
| 35× | pow-flip |
| 32× | +-commutative |
| 29× | sum-log rec-exp |
| 24× | distribute-rgt-in inv-pow distribute-lft-in rem-sqrt-square |
| 23× | pow-plus |
| 22× | pow2 |
| 21× | difference-of-sqr-1 exp-prod |
| 20× | pow-unpow |
| 19× | rem-log-exp |
| 18× | div-sub |
| 17× | tan-quot associate--l+ |
| 16× | unpow-prod-down |
| 13× | complex-mul-def |
| 11× | un-div-inv |
| 9× | associate--l- sin-mult associate--r- |
| 8× | associate-+l+ cube-prod |
| 7× | associate-+r+ pow3 sqrt-unprod associate--r+ |
| 6× | pow-to-exp rem-exp-log cube-mult |
| 5× | sin-sum difference-cubes |
| 4× | neg-sub0 cos-mult exp-sum associate-+l- |
| 3× | associate-+r- pow-exp *.c-commutative pow-pow +.c-commutative rem-square-sqrt |
| 2× | distribute-lft1-in exp-diff neg-mul-1 sqr-sin tan-sum complex-add-def cos-sum associate-*l*.c rem-cbrt-cube |
| 1× | remove-posit16 diff-atan distribute-rgt-out-- rem-cube-cbrt sin-cos-mult unpow3 frac-2neg-c associate-+l+.c diff-sin diff-cos distribute-rgt-out |