| 55× | intervals |
| 16× | halfpoints |
| 33.4s | 66384× | body | 1280 | valid |
| 21.5s | 16192× | body | 2560 | valid |
| 11.7s | 41362× | body | 640 | valid |
| 6.5s | 12621× | body | 10240 | exit |
| 4.3s | 87973× | body | 80 | valid |
| 3.7s | 20423× | body | 320 | valid |
| 3.0s | 60483× | body | 80 | nan |
| 1.1s | 10867× | body | 160 | valid |
| 800.0ms | 47432× | pre | 80 | true |
| 348.0ms | 647× | body | 1280 | nan |
| 236.0ms | 642× | body | 640 | nan |
| 160.0ms | 347× | body | 5120 | valid |
| 93.0ms | 342× | body | 320 | nan |
| 22.0ms | 175× | body | 160 | nan |
386 calls:
| 905.0ms | (- (* (/ (+ (tan x) (tan eps)) (- 1 (* (* (tan x) (tan eps)) (* (tan x) (tan eps))))) (+ 1 (* (tan x) (tan eps)))) (tan x)) |
| 822.0ms | (- (* (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n)) (* (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n))) (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n))))) (pow x (/ 1.0 n))) |
| 821.0ms | (- (* (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n)) (* (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n))) (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n))))) (pow x (/ 1.0 n))) |
| 814.0ms | (- (* (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n)) (pow (cbrt (+ x 1.0)) (/ 1.0 n))) (pow x (/ 1.0 n))) |
| 497.0ms | (cbrt (cbrt x)) |
| 121× | rewrite-expression-head |
386 calls:
| 1.4s | (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) |
| 1.4s | (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) |
| 1.1s | (* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) 2.0) (sin y)) |
| 1.1s | (* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y)) |
| 1.1s | (* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y)) |
| 7481× | times-frac |
| 6731× | *-un-lft-identity |
| 6118× | add-sqr-sqrt |
| 4170× | add-cube-cbrt |
| 1590× | add-exp-log |
| 1249× | unpow-prod-down |
| 1215× | sqrt-prod |
| 1057× | add-cbrt-cube |
| 864× | distribute-lft-out |
| 749× | associate-/l* |
| 703× | add-log-exp |
| 677× | difference-of-squares |
| 676× | pow1 |
| 594× | associate-*l* |
| 519× | distribute-lft-out-- |
| 495× | associate-/r* |
| 485× | div-exp |
| 464× | associate-*r* |
| 432× | sqr-pow |
| 375× | cube-prod |
| 368× | prod-exp |
| 358× | div-inv |
| 250× | exp-prod |
| 238× | associate-/r/ |
| 235× | unswap-sqr cbrt-prod unpow2 |
| 232× | cbrt-undiv |
| 230× | log-prod |
| 221× | associate-*l/ |
| 209× | flip-- flip3-- |
| 196× | log-pow |
| 194× | distribute-rgt-neg-in |
| 192× | cbrt-unprod |
| 161× | flip-+ flip3-+ |
| 151× | distribute-lft-neg-in |
| 145× | pow-unpow |
| 143× | swap-sqr |
| 135× | sqrt-pow1 |
| 130× | pow-exp |
| 125× | pow-to-exp |
| 115× | diff-log |
| 110× | sub-neg |
| 108× | frac-add |
| 90× | clear-num frac-2neg |
| 84× | associate-/l/ |
| 83× | cbrt-div |
| 76× | pow-prod-down |
| 69× | 1-exp |
| 68× | sqrt-div |
| 66× | frac-times |
| 65× | pow1/2 |
| 64× | rec-exp |
| 61× | associate-*r/ |
| 59× | *-commutative |
| 56× | exp-sum |
| 49× | sum-log |
| 48× | unpow3 cube-mult |
| 44× | log-div |
| 43× | pow1/3 |
| 36× | tan-quot |
| 35× | rem-sqrt-square |
| 34× | frac-sub |
| 32× | neg-mul-1 |
| 31× | distribute-rgt-in difference-cubes distribute-lft-in |
| 29× | pow-prod-up |
| 26× | div-sub exp-to-pow |
| 25× | associate--l+ |
| 24× | pow-pow complex-mul-def +-commutative |
| 21× | pow-sqr |
| 19× | rem-log-exp |
| 18× | neg-sub0 associate--r+ |
| 16× | associate-+l+ |
| 13× | exp-diff pow-flip associate--l- |
| 12× | associate-+l- |
| 11× | inv-pow un-div-inv |
| 10× | neg-log |
| 9× | cube-div exp-lft-cube |
| 8× | rem-cube-cbrt cos-mult |
| 7× | pow2 pow-plus sin-mult |
| 6× | rem-exp-log *.c-commutative |
| 5× | difference-of-sqr-1 |
| 4× | sqrt-unprod +.c-commutative complex-add-def |
| 3× | rem-square-sqrt associate--r- rem-cbrt-cube |
| 2× | cos-sum associate-+l+.c exp-neg pow-sub distribute-frac-neg associate-*l*.c distribute-rgt-neg-out frac-2neg.c pow-neg sin-sum tan-sum |
| 1× | sub0-neg sin-cos-mult associate-+r+ diff-atan sub-div diff-cos sqrt-undiv distribute-rgt-out diff-sin |
Total 32.8b remaining (13.4%)
Threshold costs 7.5b (3%)
| 5.1b | -1224.4% | 2isqrt (example 3.6) |
| 4.7b | 82.5% | quadm (p42, negative) |
| 4.6b | 83.8% | quadp (p42, positive) |
| 4.5b | 84.4% | quad2p (problem 3.2.1, positive) |
| 3.4b | 0% | expq3 (problem 3.4.2) |