| 73× | intervals |
| 28.9s | 293756× | body | 80 | valid |
| 11.2s | 13892× | body | 1280 | valid |
| 5.6s | 16772× | body | 160 | valid |
| 4.3s | 9318× | body | 640 | valid |
| 4.2s | 3867× | body | 2560 | valid |
| 3.3s | 2226× | body | 10240 | exit |
| 3.2s | 100598× | pre | 80 | true |
| 2.1s | 6939× | body | 320 | valid |
| 1.9s | 19601× | body | 80 | nan |
| 309.0ms | 238× | body | 5120 | valid |
| 7.0ms | 100× | pre | 80 | false |
318 calls:
| 2.3s | (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0)) |
| 1.8s | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (fma (/ (* (cbrt (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1)) (cbrt (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1))) (sqrt (+ (* x1 x1) 1.0))) (/ (cbrt (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1)) (sqrt (+ (* x1 x1) 1.0))) (- (* (cbrt 3.0) (* (cbrt 3.0) (cbrt 3.0)))))) (fma (* x1 x1) (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0) (* (+ (- 3.0) 3.0) (* (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0)) (* 2.0 x1))))) |
| 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)) (* (* (* (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0))) (* x1 x1)) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) |
| 842.0ms | (/ 1 (/ (+ (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)) 2.0) (+ 1.0 (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1))))) |
| 766.0ms | (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) |
| 108× | rewrite-expression-head |
318 calls:
| 1.8s | (+ (+ (+ (* 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))) |
| 1.7s | (+ (+ (* 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)) (* (* (* (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0))) (* x1 x1)) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) |
| 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))) |
| 952.0ms | (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) |
| 13090× | times-frac |
| 12322× | *-un-lft-identity |
| 11382× | add-sqr-sqrt |
| 9370× | add-cube-cbrt |
| 6637× | prod-diff |
| 1658× | add-exp-log |
| 1434× | add-cbrt-cube |
| 1067× | distribute-lft-out |
| 1009× | unpow-prod-down |
| 913× | difference-of-squares |
| 870× | div-inv |
| 814× | associate-*r* |
| 794× | associate-+l+ |
| 686× | distribute-rgt-in distribute-lft-in |
| 667× | pow1 |
| 646× | add-log-exp |
| 616× | cube-prod |
| 499× | associate-*l* |
| 498× | prod-exp |
| 434× | associate-/l* |
| 429× | distribute-lft-out-- |
| 419× | div-exp |
| 412× | cbrt-unprod |
| 386× | associate-/r* |
| 384× | flip-- flip3-- |
| 377× | associate-/r/ |
| 356× | sqr-pow |
| 345× | cbrt-undiv |
| 343× | frac-times |
| 340× | associate-*l/ |
| 326× | sqrt-prod fma-neg |
| 319× | log1p-expm1-u |
| 318× | expm1-log1p-u |
| 308× | associate-*r/ |
| 284× | cbrt-div |
| 242× | flip-+ flip3-+ |
| 226× | cbrt-prod |
| 153× | frac-add |
| 142× | pow-prod-down |
| 131× | distribute-rgt-neg-in |
| 129× | sum-log |
| 127× | unpow3 cube-mult |
| 126× | fma-def |
| 117× | unswap-sqr |
| 114× | distribute-lft-neg-in |
| 98× | frac-sub |
| 87× | swap-sqr |
| 83× | associate-/l/ |
| 80× | sub-neg |
| 72× | exp-neg |
| 69× | clear-num frac-2neg |
| 68× | *-commutative |
| 64× | diff-log |
| 62× | neg-sub0 |
| 54× | exp-diff |
| 44× | pow-unpow |
| 41× | fma-udef |
| 38× | neg-mul-1 |
| 36× | pow-exp |
| 33× | +-commutative rec-exp 1-exp |
| 29× | sqrt-div |
| 28× | pow-to-exp |
| 24× | div-sub exp-sum |
| 23× | un-div-inv associate-+r+ |
| 22× | pow-prod-up pow-pow |
| 21× | pow-plus |
| 20× | pow1/3 |
| 19× | exp-prod |
| 18× | log-pow |
| 16× | pow-sqr |
| 15× | pow2 |
| 14× | pow1/2 rem-sqrt-square sqrt-pow1 |
| 13× | difference-cubes |
| 9× | rem-cube-cbrt |
| 8× | distribute-frac-neg |
| 7× | log-prod rem-cbrt-cube |
| 6× | inv-pow hypot-udef pow-flip |
| 5× | associate--l- expm1-udef unpow2 |
| 4× | cube-div expm1-log1p neg-log associate-+l- |
| 2× | sqrt-pow2 log1p-udef distribute-lft-neg-out log1p-expm1 unpow-prod-up distribute-rgt-neg-out rem-log-exp log-div |
| 1× | associate-+r- unpow1/3 pow3 unsub-neg distribute-rgt-out hypot-def associate--l+ |
Total 33.5b remaining (14.7%)
Threshold costs 4.8b (2.1%)
| 12.8b | 52.9% | Compound Interest |
| 6.7b | 37.4% | Complex division, real part |
| 4.6b | 83.5% | The quadratic formula (r1) |
| 3.4b | 87.7% | The quadratic formula (r2) |
| 1.2b | 0% | Rosa's DopplerBench |