10190 calls:
| 1.6s | (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))) |
| 1.4s | (* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) (* x x)) (* x x))) |
| 1.4s | (* (/ (* (* 1 1) 1) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (/ (* (* (+ (* x (+ (* x (* 1/3 x)) 2)) (* (pow x 5) 1/60)) (+ (* x (+ (* x (* 1/3 x)) 2)) (* (pow x 5) 1/60))) (+ (* x (+ (* x (* 1/3 x)) 2)) (* (pow x 5) 1/60))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (sin y) (sin y)) (sin y)))) |
| 1.4s | (* (* (* (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))) (* (cos x) (cos x))) (+ (* (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))))) (- (* (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))))))) (cos x)) |
| 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))))) |
| 56× | intervals |
| 16× | halfpoints |
| 1.1m | 67191× | body | 1280 | valid |
| 40.1s | 17659× | body | 2560 | valid |
| 26.2s | 42009× | body | 640 | valid |
| 14.1s | 13066× | body | 10240 | exit |
| 11.0s | 93742× | body | 80 | valid |
| 8.6s | 20392× | body | 320 | valid |
| 7.3s | 63223× | body | 80 | nan |
| 2.6s | 10774× | body | 160 | valid |
| 2.5s | 47486× | pre | 80 | true |
| 944.0ms | 639× | body | 640 | nan |
| 649.0ms | 635× | body | 1280 | nan |
| 641.0ms | 502× | body | 5120 | valid |
| 155.0ms | 332× | body | 320 | nan |
| 82.0ms | 212× | body | 160 | nan |
387 calls:
| 1.9s | (- (* (/ (+ (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)) |
| 1.2s | (* (cbrt x) (- 1/9 (* (/ -1/9 x) (/ -1/9 x)))) |
| 1.1s | (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (+ (+ (* eps (* (* 1/6 a) (* (* a eps) (* a eps)))) (* a eps)) (* 1/2 (* (* a eps) (* a eps)))) (- (exp (* b eps)) 1))) |
| 1.0s | (- (+ (* (/ (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))))) (/ (sin x) (cos x))) |
| 566.0ms | (* (/ (cbrt x) x) (+ 1/3 (/ -1/9 x))) |
| 118× | rewrite-expression-head |
387 calls:
| 3.7s | (* (+ (+ (* eps (* (* 1/6 a) (* (* a eps) (* a eps)))) (* a eps)) (* 1/2 (* (* a eps) (* a eps)))) (- (exp (* b eps)) 1)) |
| 2.6s | (- (+ (* (/ (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))))) (/ (sin x) (cos x))) |
| 783.0ms | (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (+ (+ (* eps (* (* 1/6 a) (* (* a eps) (* a eps)))) (* a eps)) (* 1/2 (* (* a eps) (* a eps)))) (- (exp (* b eps)) 1))) |
| 424.0ms | (- (log (+ N 1)) (log N)) |
| 202.0ms | (* (+ (sqrt (pow x -1/2)) (sqrt (log (exp (/ 1 (sqrt (+ x 1))))))) (- (sqrt (pow x -1/2)) (sqrt (/ 1 (sqrt (+ x 1)))))) |
| 3999× | add-sqr-sqrt |
| 3966× | *-un-lft-identity |
| 3834× | times-frac |
| 2612× | add-cube-cbrt |
| 2088× | pow1 |
| 1362× | add-exp-log |
| 1222× | add-cbrt-cube |
| 1064× | sqrt-prod |
| 685× | add-log-exp |
| 644× | associate-*l* |
| 539× | pow-prod-down |
| 509× | difference-of-squares |
| 467× | pow-prod-up |
| 409× | prod-exp |
| 400× | associate-*r* |
| 397× | distribute-lft-out |
| 383× | cbrt-unprod |
| 376× | insert-posit16 |
| 368× | associate-/l* |
| 334× | associate-/r* |
| 276× | unpow-prod-down |
| 270× | log-prod |
| 255× | distribute-lft-out-- |
| 245× | div-inv |
| 230× | pow-sqr |
| 222× | div-exp |
| 203× | pow-plus |
| 193× | cbrt-prod |
| 180× | flip-+ flip3-+ |
| 169× | flip3-- flip-- |
| 160× | cbrt-undiv |
| 148× | exp-prod |
| 144× | swap-sqr unswap-sqr |
| 134× | pow2 |
| 127× | frac-times |
| 115× | cube-prod |
| 110× | log-pow |
| 105× | sub-neg |
| 100× | diff-log |
| 99× | sqr-pow |
| 98× | associate-/r/ |
| 96× | associate-*r/ |
| 95× | *-commutative associate-*l/ |
| 74× | pow-unpow |
| 73× | sqrt-div |
| 69× | cbrt-div |
| 68× | frac-2neg clear-num |
| 66× | associate-/l/ |
| 59× | sum-log tan-quot |
| 52× | frac-add |
| 50× | sqrt-pow1 frac-sub |
| 44× | pow1/2 |
| 41× | pow1/3 |
| 38× | distribute-rgt-in +-commutative distribute-lft-in |
| 35× | pow-flip |
| 34× | exp-sum |
| 30× | 1-exp rec-exp cube-mult |
| 29× | rem-log-exp |
| 27× | sum-cubes |
| 25× | log-div |
| 24× | distribute-rgt-neg-in |
| 23× | rem-sqrt-square |
| 19× | difference-of-sqr-1 |
| 18× | pow-exp inv-pow div-sub |
| 17× | pow-to-exp |
| 16× | associate--l+ |
| 15× | associate--r+ pow-pow |
| 13× | complex-mul-def |
| 10× | associate-+l+ associate--l- |
| 9× | neg-sub0 distribute-rgt-out-- |
| 6× | associate-+r+ rem-exp-log |
| 5× | sin-sum distribute-lft1-in exp-to-pow distribute-rgt-out |
| 4× | rem-cube-cbrt neg-log sin-mult associate-+l- |
| 3× | exp-diff cos-mult *.c-commutative unpow3 sub-div +.c-commutative sqr-cos cube-div distribute-lft-neg-in |
| 2× | associate-*l*.c pow3 sqrt-unprod sqr-sin tan-sum exp-neg rem-square-sqrt cos-sum complex-add-def |
| 1× | diff-atan associate-+r- sin-cos-mult neg-mul-1 frac-2neg-c diff-sin associate-+l+.c rem-cbrt-cube diff-cos associate--r- |
Total 26.5b remaining (21.8%)
| 4.7b | 83.4% | quad2p (problem 3.2.1, positive) |
| 4.7b | 83.4% | quadp (p42, positive) |
| 4.1b | 85.6% | quad2m (problem 3.2.1, negative) |
| 3.3b | 0% | expq3 (problem 3.4.2) |
| 2.8b | 74.9% | 2nthrt (problem 3.4.6) |