| 56× | intervals |
| 16× | halfpoints |
| 52.0s | 66982× | body | 1280 | valid |
| 34.5s | 17531× | body | 2560 | valid |
| 18.9s | 42033× | body | 640 | valid |
| 11.1s | 12945× | body | 10240 | exit |
| 7.4s | 93711× | body | 80 | valid |
| 7.0s | 20423× | body | 320 | valid |
| 6.2s | 63822× | body | 80 | nan |
| 2.4s | 10943× | body | 160 | valid |
| 1.8s | 47413× | pre | 80 | true |
| 830.0ms | 635× | body | 640 | nan |
| 559.0ms | 638× | body | 1280 | nan |
| 273.0ms | 408× | body | 5120 | valid |
| 199.0ms | 363× | body | 320 | nan |
| 80.0ms | 211× | body | 160 | nan |
408 calls:
| 1.7s | (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) |
| 1.6s | (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) |
| 1.6s | (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) |
| 1.6s | (* (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))) |
| 1.5s | (- (* (/ (+ (tan x) (tan eps)) (- 1 (* (* (tan x) (tan eps)) (* (tan x) (tan eps))))) (+ 1 (* (tan x) (tan eps)))) (tan x)) |
| 125× | rewrite-expression-head |
408 calls:
| 2.9s | (- (- (+ (+ (/ 0.5 n) 1.0) (* 1.0 (log n))) (/ 0.16666666666666669 (* n n))) 1.0) |
| 1.0s | (* (* (cbrt (- (* (pow x 4) (* (+ 1/2 (* x 1/6)) (+ 1/2 (* x 1/6)))) (* x x))) (cbrt (- (* (pow x 4) (* (+ 1/2 (* x 1/6)) (+ 1/2 (* x 1/6)))) (* x x)))) (/ (cbrt (- (* (pow x 4) (* (+ 1/2 (* x 1/6)) (+ 1/2 (* x 1/6)))) (* x x))) (- (* (pow x 2) (+ 1/2 (* x 1/6))) x))) |
| 435.0ms | (+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))) |
| 360.0ms | (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) |
| 317.0ms | (* (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) |
| 4367× | *-un-lft-identity |
| 4343× | add-sqr-sqrt |
| 3653× | times-frac |
| 2500× | add-cube-cbrt |
| 1326× | add-exp-log |
| 985× | add-cbrt-cube |
| 838× | sqrt-prod |
| 725× | add-log-exp |
| 703× | pow1 |
| 696× | unpow-prod-down |
| 691× | difference-of-squares |
| 684× | associate-*r* |
| 630× | associate-*l* |
| 493× | distribute-lft-out-- |
| 485× | distribute-lft-out |
| 404× | associate-/r* |
| 355× | associate-/l* |
| 344× | flip-- flip3-- |
| 332× | prod-exp |
| 307× | unswap-sqr |
| 305× | sqr-pow |
| 282× | cbrt-prod |
| 272× | cube-prod div-exp |
| 268× | associate-/r/ |
| 252× | flip-+ flip3-+ |
| 231× | associate-*l/ |
| 204× | pow-unpow |
| 200× | div-inv |
| 193× | cbrt-div |
| 185× | log-prod |
| 182× | cbrt-undiv |
| 180× | associate-*r/ |
| 174× | cbrt-unprod |
| 155× | exp-prod |
| 138× | frac-times |
| 127× | log-pow |
| 126× | frac-add |
| 124× | sub-neg |
| 122× | sqrt-div |
| 116× | diff-log |
| 111× | unpow2 |
| 110× | associate-/l/ |
| 102× | pow-exp |
| 100× | pow-to-exp |
| 94× | sqrt-pow1 |
| 90× | pow-prod-down |
| 88× | swap-sqr |
| 85× | exp-sum |
| 78× | frac-2neg clear-num |
| 74× | pow1/2 |
| 72× | *-commutative |
| 64× | log-div |
| 60× | sum-log |
| 55× | frac-sub |
| 52× | distribute-rgt-in unpow3 distribute-lft-in cube-mult |
| 48× | pow1/3 distribute-rgt-neg-in |
| 45× | tan-quot |
| 38× | pow-pow |
| 37× | rem-sqrt-square |
| 35× | +-commutative |
| 28× | associate--l+ |
| 26× | associate-+l+ div-sub |
| 25× | pow-prod-up |
| 22× | 1-exp rec-exp |
| 19× | associate--r- |
| 17× | pow-sqr rem-log-exp |
| 13× | complex-mul-def neg-sub0 |
| 12× | associate-+r+ associate--r+ |
| 10× | cube-div rem-cube-cbrt sum-cubes |
| 9× | exp-diff associate--l- pow-flip |
| 8× | associate-+l- |
| 7× | neg-log |
| 6× | sqrt-unprod inv-pow pow2 pow-plus distribute-frac-neg |
| 5× | rem-exp-log exp-neg |
| 4× | distribute-lft-neg-out distribute-neg-in rem-cbrt-cube *.c-commutative |
| 3× | distribute-lft-neg-in difference-cubes un-div-inv distribute-rgt-out-- +.c-commutative rem-square-sqrt |
| 2× | cos-sum complex-add-def quot-tan sin-mult tan-sum sin-sum |
| 1× | sin-cos-mult associate-+r- associate-+l+.c diff-atan sub-div diff-cos unsub-neg associate-*l*.c neg-mul-1 frac-2neg.c diff-sin |
Total 25.6b remaining (14%)
Threshold costs 6.3b (3.5%)
| 5.5b | 36.8% | expq3 (problem 3.4.2) |
| 4.4b | 84.9% | quadp (p42, positive) |
| 3.5b | 87.6% | quadm (p42, negative) |
| 3.2b | 88.1% | quad2p (problem 3.2.1, positive) |
| 1.4b | 81.2% | 2tan (problem 3.3.2) |