| 73× | intervals |
| 30.0s | 293719× | body | 80 | valid |
| 9.2s | 13893× | body | 1280 | valid |
| 5.4s | 16752× | body | 160 | valid |
| 4.7s | 9486× | body | 640 | valid |
| 4.4s | 3851× | body | 2560 | valid |
| 3.2s | 2115× | body | 10240 | exit |
| 2.9s | 100670× | pre | 80 | true |
| 1.9s | 6834× | body | 320 | valid |
| 1.4s | 19321× | body | 80 | nan |
| 169.0ms | 207× | body | 5120 | valid |
| 3.0ms | 100× | pre | 80 | false |
272 calls:
| 2.0s | (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0)) |
| 776.0ms | (expm1 (log1p (* (pow y 6.0) 333.75))) |
| 622.0ms | (+ (* (* (* 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)) (+ (* (* x1 x1) (* (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0)) 4.0)) (* (* x1 x1) (- 6.0)))) |
| 621.0ms | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (fma (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (- (* (* x1 x1) (* x1 x1)) (* 1.0 1.0))) (- (* x1 x1) 1.0) (- 3.0))) (+ (/ (* (* x1 x1) (* (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) 4.0)) (fma x1 x1 1.0)) (* (* x1 x1) (- 6.0)))) |
| 604.0ms | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (fma (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (- (* (* x1 x1) (* x1 x1)) (* 1.0 1.0))) (- (* x1 x1) 1.0) (- 3.0))) (+ (* (* x1 x1) (* (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0)) 4.0)) (* (* x1 x1) (- 6.0)))) |
| 100× | rewrite-expression-head |
272 calls:
| 1.9s | (+ (+ (+ (* 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))) (/ 77617.0 (* 2.0 33096.0))) |
| 1.6s | (+ (+ (* 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))) |
| 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 (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0)) 4.0)) (* (* x1 x1) (- 6.0)))) |
| 1.1s | (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) |
| 1.1s | (+ (* (* (* 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))) |
| 4781× | *-un-lft-identity |
| 4718× | add-sqr-sqrt |
| 4181× | times-frac |
| 3620× | add-cube-cbrt |
| 2031× | prod-diff |
| 1226× | add-exp-log |
| 1062× | add-cbrt-cube |
| 788× | associate-*r* |
| 621× | associate-*l* |
| 576× | add-log-exp |
| 574× | pow1 |
| 526× | distribute-rgt-in distribute-lft-in |
| 451× | unpow-prod-down |
| 405× | cbrt-prod |
| 380× | prod-exp |
| 378× | distribute-lft-out |
| 365× | difference-of-squares |
| 342× | div-inv |
| 310× | cbrt-unprod |
| 278× | associate-+l+ |
| 272× | log1p-expm1-u expm1-log1p-u |
| 269× | sqrt-prod |
| 255× | div-exp |
| 237× | distribute-lft-out-- |
| 218× | associate-/l* |
| 210× | cbrt-undiv |
| 193× | fma-neg |
| 183× | associate-/r* |
| 180× | distribute-rgt-neg-in |
| 175× | unswap-sqr |
| 171× | distribute-lft-neg-in |
| 169× | cube-prod |
| 165× | associate-*r/ |
| 156× | flip-+ sqr-pow flip3-+ |
| 153× | frac-times |
| 145× | pow-prod-down exp-prod |
| 144× | log-pow |
| 139× | sum-log |
| 137× | flip3-- flip-- |
| 128× | associate-/r/ |
| 111× | associate-*l/ |
| 95× | fma-def |
| 90× | frac-sub |
| 78× | exp-neg |
| 70× | *-commutative |
| 67× | neg-sub0 |
| 60× | exp-diff sub-neg |
| 59× | neg-mul-1 |
| 49× | fma-udef clear-num frac-2neg |
| 44× | cbrt-div |
| 43× | diff-log |
| 42× | associate-/l/ |
| 34× | frac-add |
| 33× | +-commutative |
| 30× | pow1/3 |
| 25× | un-div-inv 1-exp log-prod rec-exp |
| 24× | associate-+r+ swap-sqr |
| 21× | sqrt-div |
| 19× | pow-exp |
| 18× | pow-unpow pow-to-exp |
| 16× | unpow3 cube-mult div-sub |
| 15× | unpow2 |
| 14× | sqrt-pow1 |
| 13× | rem-sqrt-square |
| 12× | pow1/2 |
| 10× | distribute-frac-neg |
| 9× | pow-flip |
| 8× | cube-div |
| 7× | inv-pow distribute-lft-neg-out neg-log rem-cbrt-cube associate-+r- |
| 6× | associate--l- pow-prod-up pow-sqr distribute-rgt-neg-out pow-pow |
| 5× | rem-cube-cbrt pow2 pow-plus associate--l+ |
| 4× | rem-exp-log unsub-neg distribute-rgt-out |
| 3× | log-div |
| 2× | expm1-udef distribute-lft1-in rem-log-exp |
| 1× | expm1-log1p hypot-udef associate-+l- associate--r+ |
Total 39.7b remaining (16%)
Threshold costs 2.6b (1.1%)
| 10.2b | 53.8% | Compound Interest |
| 9.8b | 14.2% | Complex division, imag part |
| 7.5b | 33% | Complex division, real part |
| 5.2b | 82.2% | The quadratic formula (r2) |
| 3.2b | 86.8% | The quadratic formula (r1) |