| 73× | intervals |
| 26.0s | 285416× | body | 80 | valid |
| 10.0s | 25113× | body | 160 | valid |
| 9.9s | 13589× | body | 1280 | valid |
| 4.6s | 3866× | body | 2560 | valid |
| 4.5s | 2153× | body | 10240 | exit |
| 3.9s | 9505× | body | 640 | valid |
| 2.7s | 100646× | pre | 80 | true |
| 1.7s | 6916× | body | 320 | valid |
| 1.7s | 19387× | body | 80 | nan |
| 220.0ms | 235× | body | 5120 | valid |
| 6.0ms | 100× | pre | 80 | false |
328 calls:
| 6.5s | (* (* (sqrt a) (sqrt (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d)))) |
| 925.0ms | (- (* 9.0 (pow x 4.0)) (pow y 4.0)) |
| 742.0ms | (+ (+ (* (* x x) (- (- (* 11.0 (* (* x y) (* x y))) (pow y 6.0)) (+ 2.0 (* (pow y 4.0) 121.0)))) (* (pow y 6.0) 333.75)) (+ (* (pow y 8.0) 5.5) (/ x (* 2.0 y)))) |
| 704.0ms | (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y))) |
| 694.0ms | (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y))) |
| 110× | rewrite-expression-head |
328 calls:
| 9.4s | (+ (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (/ (+ (* (* 8.0 x2) (* x1 x1)) (- (* 12.0 (* (* x1 x1) (* x1 x1))) (* (* 4.0 x1) (* x1 x1)))) (+ (* x1 x1) 1.0))) (* (- 6.0) (* x1 x1))) |
| 4.0s | (+ (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (* (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (* x1 x1))) (* (- 6.0) (* x1 x1))) |
| 3.9s | (+ (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (/ (* (* 4.0 (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1)) (* x1 x1)) (+ (* x1 x1) 1.0))) (* (- 6.0) (* x1 x1))) |
| 2.0s | (+ (+ (* (* x x) (- (- (* 11.0 (* (* x y) (* x y))) (pow y 6.0)) (+ 2.0 (* (pow y 4.0) 121.0)))) (* (pow y 6.0) 333.75)) (+ (* (pow y 8.0) 5.5) (/ x (* 2.0 y)))) |
| 1.3s | (+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0))) |
| 4162× | times-frac |
| 4017× | *-un-lft-identity |
| 3695× | add-sqr-sqrt |
| 2530× | add-cube-cbrt |
| 1868× | add-exp-log |
| 1739× | add-cbrt-cube |
| 1213× | pow1 |
| 910× | associate-*r* |
| 772× | add-log-exp |
| 681× | prod-exp |
| 666× | associate-*l* |
| 635× | cbrt-unprod |
| 513× | distribute-lft-out |
| 466× | frac-times |
| 427× | associate-*r/ |
| 422× | pow-prod-down |
| 379× | associate-/r* |
| 376× | div-exp |
| 371× | difference-of-squares |
| 369× | sqrt-prod |
| 339× | flip3-- flip-- |
| 338× | flip-+ flip3-+ |
| 330× | cbrt-undiv |
| 304× | sqrt-div |
| 285× | associate-/l* |
| 271× | associate-*l/ |
| 253× | div-inv |
| 249× | distribute-lft-out-- |
| 234× | associate-/r/ |
| 170× | swap-sqr |
| 168× | sum-log |
| 147× | unswap-sqr |
| 127× | cbrt-div |
| 112× | sub-neg |
| 109× | sqrt-pow1 |
| 104× | frac-sub |
| 101× | unpow-prod-down |
| 99× | *-commutative |
| 94× | diff-log |
| 77× | pow-prod-up |
| 65× | frac-2neg clear-num |
| 64× | sqr-pow |
| 62× | pow1/2 |
| 61× | distribute-rgt-in distribute-lft-in |
| 57× | associate-/l/ |
| 49× | frac-add |
| 45× | pow-plus log-pow |
| 44× | log-prod +-commutative pow-sqr |
| 43× | distribute-rgt-neg-in |
| 33× | distribute-lft-neg-in |
| 32× | cbrt-prod |
| 29× | exp-prod |
| 25× | pow2 |
| 23× | rem-sqrt-square |
| 21× | associate-+l+ associate-+r+ div-sub |
| 19× | 1-exp rec-exp associate--r+ |
| 18× | pow3 |
| 16× | associate--l+ |
| 15× | log-div |
| 14× | pow-exp pow-to-exp |
| 13× | distribute-lft-neg-out associate--l- pow1/3 |
| 11× | neg-mul-1 |
| 8× | rem-log-exp distribute-rgt-out-- |
| 7× | pow-flip inv-pow |
| 6× | associate-+r- sqrt-unprod |
| 5× | neg-sub0 exp-to-pow sum-cubes |
| 4× | exp-sum distribute-frac-neg neg-log un-div-inv rem-cbrt-cube unsub-neg |
| 3× | pow-unpow sub-div rem-exp-log associate-+l- rem-square-sqrt associate--r- |
| 2× | exp-diff |
| 1× | distribute-lft1-in cube-unmult pow-pow lft-mult-inverse |
Total 37.0b remaining (8.4%)
Threshold costs 3.0b (0.7%)
| 10.7b | 53.5% | Compound Interest |
| 4.8b | 83.3% | The quadratic formula (r1) |
| 4.5b | 78.5% | Kahan p9 Example |
| 3.7b | 87.1% | The quadratic formula (r2) |
| 3.1b | 0% | Complex division, imag part |