| 56× | intervals |
| 16× | halfpoints |
| 56.1s | 66750× | body | 1280 | valid |
| 34.3s | 16915× | body | 2560 | valid |
| 26.2s | 42952× | body | 640 | valid |
| 12.4s | 12723× | body | 10240 | exit |
| 10.4s | 93370× | body | 80 | valid |
| 8.8s | 20720× | body | 320 | valid |
| 6.8s | 63553× | body | 80 | nan |
| 2.6s | 10923× | body | 160 | valid |
| 2.4s | 47339× | pre | 80 | true |
| 1.1s | 622× | body | 1280 | nan |
| 510.0ms | 655× | body | 640 | nan |
| 409.0ms | 520× | body | 5120 | valid |
| 151.0ms | 358× | body | 320 | nan |
| 47.0ms | 187× | body | 160 | nan |
413 calls:
| 6.2s | (/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (* (* 1/6 (* b (* b b))) (* eps (* eps eps))) (+ (* eps b) (* (* (* b eps) (* b eps)) 1/2))))) |
| 1.2s | (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) |
| 1.1s | (log (/ (exp (pow (+ x 1.0) (/ 1.0 n))) (exp (pow x (/ 1.0 n))))) |
| 975.0ms | (/ (- (* x (* x x)) (* (tan x) (* (tan x) (tan x)))) (+ (* x x) (+ (* (tan x) (tan x)) (* x (tan x))))) |
| 897.0ms | (- (* (/ (/ (sin x) (cos x)) (- 1 (/ (* (sin eps) (/ (sin x) (cos eps))) (cos x)))) (/ (/ (sin x) (cos x)) (- 1 (/ (* (sin eps) (/ (sin x) (cos eps))) (cos x))))) (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) |
| 125× | rewrite-expression-head |
413 calls:
| 4.5s | (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* 1.0 (log n))) 1.0) |
| 3.7s | (/ (+ (* 0.3333333333333333 0.3333333333333333) (- (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223)) (* 0.3333333333333333 (* (* x x) 0.022222222222222223)))) (+ (* (* (* x x) 0.022222222222222223) (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223))) (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333))) |
| 3.3s | (* x (+ (* (* (* x x) 0.022222222222222223) (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223))) (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333))) |
| 3.2s | (/ x (/ (+ (* 0.3333333333333333 0.3333333333333333) (- (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223)) (* 0.3333333333333333 (* (* x x) 0.022222222222222223)))) (+ (* (* (* x x) 0.022222222222222223) (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223))) (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333)))) |
| 2.1s | (* (- (exp (* a eps)) 1.0) (+ (* (* 1/6 (* b (* b b))) (* eps (* eps eps))) (+ (* eps b) (* (* (* b eps) (* b eps)) 1/2)))) |
| 6051× | *-un-lft-identity |
| 5383× | times-frac |
| 5025× | add-sqr-sqrt |
| 3051× | add-cube-cbrt |
| 2399× | sqrt-prod |
| 2037× | add-exp-log |
| 1716× | pow1 |
| 1701× | add-cbrt-cube |
| 998× | distribute-lft-out |
| 792× | difference-of-squares |
| 774× | prod-exp |
| 764× | add-log-exp |
| 700× | associate-*r* |
| 666× | associate-*l* |
| 588× | cbrt-unprod |
| 578× | distribute-lft-out-- |
| 556× | pow-prod-down |
| 485× | associate-/l* |
| 407× | div-exp |
| 402× | insert-posit16 |
| 331× | associate-/r/ |
| 319× | associate-/r* |
| 301× | flip-+ flip3-+ |
| 299× | sqrt-div |
| 285× | cbrt-undiv |
| 282× | swap-sqr |
| 278× | div-inv |
| 275× | associate-*r/ |
| 268× | associate-*l/ |
| 238× | flip3-- flip-- |
| 201× | frac-times |
| 187× | pow-prod-up |
| 182× | unpow-prod-down |
| 177× | unswap-sqr |
| 164× | distribute-rgt-neg-in |
| 149× | log-prod |
| 129× | distribute-lft-neg-in |
| 116× | diff-log |
| 115× | sub-neg |
| 110× | *-commutative |
| 102× | cbrt-prod |
| 99× | pow-sqr |
| 97× | associate-/l/ |
| 93× | sqr-pow |
| 81× | pow-plus |
| 77× | sqrt-pow1 |
| 75× | pow1/2 |
| 73× | frac-2neg clear-num |
| 67× | log-pow |
| 65× | exp-prod |
| 61× | sum-log frac-sub |
| 56× | 1-exp rec-exp |
| 55× | pow-unpow |
| 51× | cbrt-div frac-add |
| 40× | pow3 |
| 37× | pow2 div-sub |
| 35× | distribute-rgt-in +-commutative distribute-lft-in rem-sqrt-square |
| 31× | cube-unmult |
| 28× | pow1/3 neg-mul-1 exp-to-pow log-div |
| 26× | exp-lft-cube |
| 23× | difference-cubes |
| 22× | associate--l+ |
| 17× | sum-cubes |
| 16× | pow-flip tan-quot associate--r+ rem-log-exp |
| 15× | associate-+l+ pow-exp pow-to-exp |
| 14× | neg-sub0 complex-mul-def |
| 12× | associate-+r+ |
| 11× | associate--l- |
| 9× | cos-mult sin-mult |
| 8× | pow-pow associate-+l- sqr-cos |
| 7× | distribute-neg-frac |
| 6× | exp-sum pow-div distribute-frac-neg neg-log inv-pow rem-exp-log |
| 5× | exp-diff cube-prod associate-+r- sqrt-unprod rem-square-sqrt |
| 3× | sin-sum *.c-commutative difference-of-sqr-1 sqr-sin +.c-commutative cos-sum |
| 2× | associate-*l*.c sin-cos-mult exp-neg sub-div un-div-inv complex-add-def tan-sum rem-cbrt-cube distribute-neg-in associate--r- distribute-rgt-out |
| 1× | remove-posit16 diff-atan distribute-rgt-out-- rem-cube-cbrt distribute-rgt-neg-out unpow3 +-inverses frac-2neg.c diff-sin associate-+l+.c cube-mult diff-cos |
Total 39.8b remaining (28.2%)
Threshold costs 6.8b (4.8%)
| 14.0b | 35% | expax (section 3.5) |
| 4.3b | 85.5% | quadp (p42, positive) |
| 4.1b | 85.8% | quad2p (problem 3.2.1, positive) |
| 3.3b | 0% | expq3 (problem 3.4.2) |
| 3.1b | 88.9% | quadm (p42, negative) |