| 73× | intervals |
| 35.0s | 285893× | body | 80 | valid |
| 13.7s | 25311× | body | 160 | valid |
| 12.5s | 13845× | body | 1280 | valid |
| 6.7s | 9247× | body | 640 | valid |
| 5.4s | 3787× | body | 2560 | valid |
| 5.4s | 2207× | body | 10240 | exit |
| 3.4s | 100607× | pre | 80 | true |
| 2.4s | 6865× | body | 320 | valid |
| 1.7s | 19212× | body | 80 | nan |
| 235.0ms | 213× | body | 5120 | valid |
| 7.0ms | 100× | pre | 80 | false |
288 calls:
| 1.7s | (+ (pow (expm1 (log1p (* (pow y 6.0) 333.75))) 3) (pow (fma (- (- (* 11.0 (* (* x y) (* x y))) (fma (pow y 4.0) 121.0 (pow y 6.0))) 2.0) (* x x) (fma 5.5 (pow y 8.0) (/ x (* y 2.0)))) 3)) |
| 1.6s | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (fma (/ 1 (* (cbrt (+ (* x1 x1) 1.0)) (cbrt (+ (* x1 x1) 1.0)))) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (cbrt (+ (* x1 x1) 1.0))) (- 3.0))) (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))) |
| 1.2s | (+ (* (* (* 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)) (+ (* (* x1 x1) (fma 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) (- (* (sqrt 6.0) (sqrt 6.0))))) (* (fma 6.0 -1 6.0) (* x1 x1)))) |
| 1.2s | (+ (expm1 (log1p (* (pow y 6.0) 333.75))) (fma (- (- (* 11.0 (* (* x y) (* x y))) (fma (pow y 4.0) 121.0 (pow y 6.0))) 2.0) (* x x) (fma 5.5 (pow y 8.0) (/ x (* y 2.0))))) |
| 1.1s | (sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (* (* w r) (* w r))))) |
| 103× | rewrite-expression-head |
288 calls:
| 1.6s | (+ (* (* (* 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)) (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))) |
| 1.5s | (+ (* (* (* 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)) (+ (* (* x1 x1) (fma 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) (- (* (sqrt 6.0) (sqrt 6.0))))) (* (fma 6.0 -1 6.0) (* x1 x1)))) |
| 1.3s | (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) |
| 1.3s | (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) |
| 1.1s | (+ (+ (+ (+ e d) c) b) a) |
| 5725× | times-frac |
| 5639× | *-un-lft-identity |
| 5520× | add-sqr-sqrt |
| 4625× | add-cube-cbrt |
| 2899× | prod-diff |
| 1488× | add-exp-log |
| 1337× | add-cbrt-cube |
| 1144× | pow1 |
| 931× | distribute-rgt-in distribute-lft-in |
| 586× | sqrt-prod |
| 564× | associate-*r* |
| 546× | add-log-exp |
| 507× | div-inv |
| 477× | prod-exp |
| 441× | associate-*l* |
| 421× | cbrt-unprod |
| 363× | pow-prod-down |
| 347× | div-exp |
| 342× | difference-of-squares |
| 328× | associate-/l* |
| 298× | distribute-lft-out |
| 288× | log1p-expm1-u expm1-log1p-u |
| 286× | associate-/r* |
| 285× | cbrt-undiv |
| 282× | associate-*r/ |
| 280× | frac-times |
| 272× | associate-+l+ |
| 245× | distribute-lft-out-- flip3-- flip-- |
| 224× | flip-+ flip3-+ |
| 211× | fma-neg |
| 191× | associate-/r/ |
| 178× | unpow-prod-down |
| 156× | associate-*l/ |
| 128× | pow-prod-up |
| 125× | distribute-rgt-neg-in |
| 117× | distribute-lft-neg-in |
| 100× | frac-sub sqrt-pow1 |
| 99× | sum-log |
| 95× | sub-neg |
| 88× | sqrt-div unswap-sqr |
| 87× | associate-/l/ |
| 84× | fma-def |
| 78× | sqr-pow |
| 76× | exp-neg |
| 73× | *-commutative |
| 65× | clear-num frac-2neg |
| 64× | frac-add |
| 62× | neg-sub0 |
| 57× | exp-diff |
| 53× | diff-log pow-sqr |
| 52× | pow-plus |
| 45× | pow1/2 associate--l+ |
| 44× | fma-udef |
| 41× | cbrt-prod |
| 39× | associate-+r+ neg-mul-1 |
| 32× | swap-sqr |
| 30× | div-sub |
| 26× | cbrt-div |
| 25× | rem-sqrt-square +-commutative |
| 24× | pow2 1-exp rec-exp |
| 22× | un-div-inv |
| 20× | log-prod |
| 19× | pow1/3 |
| 15× | log-pow |
| 11× | pow3 exp-prod |
| 8× | cube-unmult |
| 7× | cube-prod hypot-def |
| 6× | pow-unpow pow-flip distribute-frac-neg rem-cbrt-cube |
| 5× | associate--l- inv-pow distribute-lft-neg-out pow-to-exp exp-sum pow-exp |
| 4× | rem-log-exp log-div |
| 3× | neg-log |
| 2× | hypot-udef expm1-udef associate-+l- pow-pow |
| 1× | rem-exp-log sqrt-undiv unpow3 distribute-lft1-in sqrt-unprod expm1-log1p cube-mult rem-square-sqrt +-inverses distribute-rgt-out-- sum-cubes |
Total 42.0b remaining (17.3%)
Threshold costs 2.9b (1.2%)
| 11.2b | 55.5% | Compound Interest |
| 7.7b | 30.5% | Complex division, real part |
| 7.1b | 35.8% | Complex division, imag part |
| 5.5b | 72.9% | Kahan p9 Example |
| 5.2b | 82.2% | The quadratic formula (r1) |