15649 calls:
| 1.7s | (/ (* (* (* eps eps) eps) (* (* (- (exp (* (+ a b) eps)) 1) (- (exp (* (+ a b) eps)) 1)) (- (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)))) |
| 1.7s | (/ (* (* (* 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 | (/ (* (* (+ (* (- (* 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)) (* (+ x 1) x)) (* (* (- x 1) (- x 1)) (- x 1)))) |
| 1.4s | (/ (* (* (* eps (- (exp (* (+ a b) eps)) 1)) (* eps (- (exp (* (+ a b) eps)) 1))) (* eps (- (exp (* (+ a b) eps)) 1))) (* (* (* (- (exp (* a eps)) 1) (- (exp (* a eps)) 1)) (- (exp (* a eps)) 1)) (* (* (- (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)))) |
| 56× | intervals |
| 16× | halfpoints |
| 1.2m | 66348× | body | 1280 | valid |
| 43.9s | 17732× | body | 2560 | valid |
| 26.1s | 41347× | body | 640 | valid |
| 13.8s | 12498× | body | 10240 | exit |
| 13.0s | 94091× | body | 80 | valid |
| 9.2s | 21111× | body | 320 | valid |
| 7.8s | 63469× | body | 80 | nan |
| 3.6s | 10728× | body | 160 | valid |
| 2.5s | 47412× | pre | 80 | true |
| 805.0ms | 690× | body | 1280 | nan |
| 561.0ms | 440× | body | 5120 | valid |
| 499.0ms | 650× | body | 640 | nan |
| 158.0ms | 353× | body | 320 | nan |
| 65.0ms | 222× | body | 160 | nan |
345 calls:
| 1.9s | (/ (* 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))))))))) |
| 718.0ms | (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (/ (+ (* x (+ (* x (* 1/3 x)) 2)) (* (pow x 5) 1/60)) (sqrt 2)) (sin y))) |
| 582.0ms | (- (+ (/ (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))) |
| 518.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) |
| 512.0ms | (- x (tan x)) |
| 113× | rewrite-expression-head |
345 calls:
| 1.0s | (/ (/ (- (* (exp (+ x (+ x x))) (exp (+ x (+ x x)))) (* -1 -1)) (- (exp (+ x (+ x x))) -1)) (+ (* (exp x) (+ 1 (exp x))) 1)) |
| 783.0ms | (* (- (exp (* a eps)) 1) (+ (* eps b) (+ (* 1/2 (* (* eps b) (* eps b))) (* 1/6 (* eps (* b (* (* eps b) (* eps b)))))))) |
| 664.0ms | (- (+ (/ (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))) |
| 481.0ms | (+ (+ (* a x) (* x (* (* a 1/6) (* (* a x) (* a x))))) (* (* 1/2 (* a x)) (* a x))) |
| 383.0ms | (/ (* x (+ 1/27 (* (* 1/91125 (* x x)) (* (* x x) (* x x))))) (+ (* 1/3 1/3) (- (* (* 1/45 (* x x)) (* 1/45 (* x x))) (* 1/3 (* 1/45 (* x x)))))) |
| 6541× | times-frac |
| 6116× | *-un-lft-identity |
| 4510× | add-sqr-sqrt |
| 4310× | sqrt-prod |
| 3250× | add-cube-cbrt |
| 1447× | add-exp-log |
| 1342× | pow1 |
| 1281× | distribute-lft-out |
| 1259× | add-cbrt-cube |
| 706× | associate-*l* |
| 571× | add-log-exp |
| 438× | prod-exp |
| 433× | difference-of-squares |
| 409× | associate-/l* |
| 408× | associate-/r* |
| 394× | pow-prod-down |
| 391× | cbrt-unprod |
| 373× | associate-/r/ |
| 344× | associate-*r* |
| 335× | insert-posit16 |
| 306× | div-inv |
| 297× | div-exp |
| 287× | distribute-lft-out-- |
| 254× | log-prod |
| 229× | flip3-- flip-- |
| 215× | cbrt-undiv |
| 214× | flip-+ flip3-+ |
| 184× | log-pow |
| 168× | exp-prod |
| 165× | associate-*l/ |
| 136× | swap-sqr |
| 134× | unswap-sqr |
| 131× | pow-prod-up |
| 123× | sqrt-pow1 |
| 108× | cbrt-prod |
| 104× | pow-unpow |
| 97× | pow-sqr |
| 96× | sqrt-div |
| 95× | pow1/2 |
| 93× | sub-neg |
| 92× | frac-times |
| 91× | distribute-rgt-out |
| 90× | associate-*r/ |
| 83× | diff-log |
| 78× | frac-2neg clear-num *-commutative |
| 75× | associate-/l/ |
| 65× | unpow-prod-down |
| 61× | associate-+l+ |
| 58× | distribute-rgt1-in |
| 57× | associate-+r+ |
| 51× | pow-flip |
| 49× | pow-plus |
| 43× | sum-log 1-exp frac-add |
| 42× | rec-exp difference-of-sqr-1 |
| 39× | distribute-lft1-in |
| 38× | distribute-rgt-in distribute-lft-in |
| 37× | pow2 |
| 30× | inv-pow |
| 29× | log-div |
| 28× | distribute-rgt-neg-in |
| 27× | sqr-pow |
| 26× | +-commutative |
| 25× | pow1/3 rem-sqrt-square |
| 21× | div-sub |
| 17× | pow-pow |
| 15× | tan-quot |
| 14× | frac-sub associate--l+ rem-log-exp |
| 13× | complex-mul-def |
| 12× | pow-exp |
| 11× | exp-sum cbrt-div pow-to-exp |
| 10× | pow-div |
| 9× | associate--r+ |
| 8× | neg-sub0 sin-mult distribute-lft-neg-in |
| 6× | associate--l- sqrt-unprod associate-+l- |
| 5× | sin-sum difference-of-sqr--1 |
| 4× | exp-diff neg-log |
| 3× | *.c-commutative sqr-sin +.c-commutative distribute-rgt-out-- |
| 2× | associate-*l*.c associate-+r- sqrt-undiv sqrt-pow2 neg-mul-1 tan-sum exp-neg complex-add-def rem-square-sqrt cos-sum |
| 1× | diff-atan cos-mult sin-cos-mult pow3 distribute-frac-neg sub-div un-div-inv rem-exp-log associate-+l+.c diff-sin rem-cbrt-cube diff-cos associate--r- |
Total 18.7b remaining (15.7%)
Threshold costs 5.5b (4.6%)
| 3.7b | 84.4% | quad2m (problem 3.2.1, negative) |
| 3.6b | 86.8% | quadp (p42, positive) |
| 3.4b | 87.6% | quad2p (problem 3.2.1, positive) |
| 1.5b | 83.4% | 2nthrt (problem 3.4.6) |
| 1.1b | 95.3% | quadm (p42, negative) |