| 73× | intervals |
| 27.8s | 285416× | body | 80 | valid |
| 10.6s | 13589× | body | 1280 | valid |
| 9.9s | 25113× | body | 160 | valid |
| 4.3s | 3866× | body | 2560 | valid |
| 4.1s | 9505× | body | 640 | valid |
| 3.3s | 2153× | body | 10240 | exit |
| 2.7s | 100646× | pre | 80 | true |
| 2.4s | 6916× | body | 320 | valid |
| 1.3s | 19387× | body | 80 | nan |
| 237.0ms | 235× | body | 5120 | valid |
| 3.0ms | 100× | pre | 80 | false |
292 calls:
| 5.7s | (* (* (sqrt a) (sqrt (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d)))) |
| 1.5s | (fma (sqrt (pow x 4.0)) (sqrt (pow x 4.0)) (- (pow y 4.0))) |
| 932.0ms | (+ (* (* (* 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)) (+ (* (fma 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) (- (* (sqrt 6.0) (sqrt 6.0)))) (* x1 x1)) (* (fma 6.0 -1 6.0) (* x1 x1)))) |
| 731.0ms | (- (* (pow x 4.0) 9.0) (pow y 4.0)) |
| 662.0ms | (cbrt (+ (+ (* (* (* 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))))) (* (* x1 x1) (- 6.0)))) |
| 105× | rewrite-expression-head |
292 calls:
| 4.7s | (+ (+ (* (* (* 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))))) (* (* x1 x1) (- 6.0))) |
| 3.2s | (+ (+ (+ (* 333.75 (pow y 6.0)) (* (* x x) (- (- (- (* (* (* (* 11.0 x) x) y) y) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0))) (* 5.5 (pow y 8.0))) (/ x (* 2.0 y))) |
| 3.1s | (+ (+ (* 333.75 (pow y 6.0)) (* (* x x) (- (- (- (* (* (* (* 11.0 x) x) y) y) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0))) (* 5.5 (pow y 8.0))) |
| 2.3s | (cbrt (+ (+ (* (* (* 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))))) (* (* x1 x1) (- 6.0)))) |
| 2.3s | (cbrt (+ (+ (* (* (* 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))))) (* (* x1 x1) (- 6.0)))) |
| 9898× | times-frac |
| 9520× | *-un-lft-identity |
| 8333× | add-sqr-sqrt |
| 7263× | add-cube-cbrt |
| 5145× | prod-diff |
| 2275× | add-exp-log |
| 2180× | add-cbrt-cube |
| 1585× | distribute-rgt-in distribute-lft-in |
| 1081× | pow1 |
| 913× | prod-exp |
| 875× | cbrt-unprod |
| 858× | distribute-lft-out |
| 798× | div-inv |
| 744× | associate-*r* |
| 712× | frac-times |
| 667× | associate-*l* |
| 580× | add-log-exp div-exp |
| 560× | cbrt-undiv |
| 484× | sqrt-prod |
| 447× | associate-*r/ |
| 394× | difference-of-squares |
| 391× | unpow-prod-down |
| 389× | flip3-- flip-- |
| 307× | pow-prod-down |
| 292× | expm1-log1p-u log1p-expm1-u |
| 289× | associate-*l/ |
| 277× | distribute-lft-out-- |
| 270× | associate-+l+ |
| 266× | associate-/l* |
| 264× | associate-/r/ |
| 254× | cbrt-div |
| 251× | swap-sqr |
| 243× | fma-neg |
| 219× | associate-/r* |
| 209× | flip-+ flip3-+ |
| 156× | sqr-pow |
| 126× | distribute-rgt-neg-in |
| 120× | sum-log |
| 117× | distribute-lft-neg-in |
| 99× | unswap-sqr |
| 94× | pow-prod-up |
| 86× | sqrt-pow1 |
| 83× | sub-neg |
| 80× | log-pow |
| 77× | *-commutative |
| 65× | pow-sqr |
| 62× | log-prod fma-def |
| 60× | exp-prod |
| 58× | cbrt-prod |
| 56× | pow1/2 |
| 55× | associate-/l/ |
| 54× | sqrt-div |
| 52× | frac-2neg pow-plus clear-num diff-log |
| 40× | fma-udef |
| 39× | neg-mul-1 |
| 38× | exp-sum |
| 36× | rem-sqrt-square |
| 35× | pow2 |
| 34× | frac-add |
| 22× | pow1/3 div-sub |
| 19× | associate-+r+ |
| 18× | +-commutative |
| 16× | frac-sub |
| 14× | 1-exp rec-exp log-div |
| 12× | rem-log-exp |
| 10× | rem-exp-log |
| 7× | distribute-lft-neg-out associate--l- hypot-def |
| 5× | neg-sub0 pow3 sqrt-unprod |
| 4× | distribute-frac-neg neg-log associate--r+ exp-to-pow |
| 3× | pow-exp pow-unpow associate--l+ pow-to-exp rem-cbrt-cube un-div-inv |
| 2× | pow-flip exp-diff distribute-rgt-neg-out inv-pow rem-square-sqrt associate--r- |
| 1× | expm1-log1p expm1-udef distribute-rgt-out-- sub-div pow-pow hypot-udef unsub-neg |
Total 43.0b remaining (16.5%)
Threshold costs 2.8b (1.1%)
| 10.3b | 55% | Compound Interest |
| 8.3b | 28.7% | Complex division, imag part |
| 7.3b | -6.2% | Complex division, real part |
| 4.8b | 82.9% | The quadratic formula (r1) |
| 4.5b | 78.4% | Kahan p9 Example |