| 73× | intervals |
| 26.3s | 293756× | body | 80 | valid |
| 9.9s | 13892× | body | 1280 | valid |
| 5.2s | 16772× | body | 160 | valid |
| 4.3s | 3867× | body | 2560 | valid |
| 3.9s | 9318× | body | 640 | valid |
| 3.3s | 100598× | pre | 80 | true |
| 3.1s | 2226× | body | 10240 | exit |
| 1.8s | 6939× | body | 320 | valid |
| 1.7s | 19601× | body | 80 | nan |
| 154.0ms | 238× | body | 5120 | valid |
| 4.0ms | 100× | pre | 80 | false |
318 calls:
| 2.2s | (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0)) |
| 1.6s | (+ (* (* (* 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))) (- (* 3.0 1)))) (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)))) |
| 774.0ms | (expm1 (log1p (* (pow y 6.0) 333.75))) |
| 677.0ms | (* (pow y 6.0) 333.75) |
| 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))) |
| 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))) (/ 77617.0 (* 2.0 33096.0))) |
| 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))) |
| 1.1s | (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) |
| 16265× | times-frac |
| 14592× | *-un-lft-identity |
| 13232× | add-sqr-sqrt |
| 11253× | add-cube-cbrt |
| 8360× | prod-diff |
| 1858× | unpow-prod-down |
| 1437× | add-exp-log |
| 1288× | distribute-lft-out |
| 1231× | add-cbrt-cube |
| 1025× | associate-+r+ |
| 954× | div-inv |
| 893× | difference-of-squares |
| 863× | distribute-rgt-in distribute-lft-in |
| 778× | cube-prod |
| 770× | associate-*r* |
| 668× | sqr-pow |
| 642× | pow1 |
| 638× | add-log-exp |
| 446× | associate-/r* |
| 442× | associate-*l* |
| 416× | associate-/r/ |
| 415× | associate-/l* |
| 413× | distribute-lft-out-- |
| 390× | flip-- flip3-- |
| 388× | prod-exp |
| 365× | associate-*l/ div-exp |
| 347× | fma-neg |
| 342× | frac-times |
| 319× | log1p-expm1-u expm1-log1p-u |
| 318× | cbrt-unprod |
| 307× | sqrt-prod |
| 302× | associate-*r/ |
| 288× | cbrt-undiv |
| 283× | cbrt-div |
| 272× | associate-+l+ |
| 258× | flip-+ flip3-+ |
| 195× | unpow3 cube-mult |
| 194× | cbrt-prod |
| 153× | frac-add |
| 142× | pow-prod-down |
| 126× | sum-log |
| 114× | unswap-sqr |
| 105× | fma-def |
| 98× | frac-sub |
| 93× | distribute-rgt-neg-in |
| 90× | distribute-lft-neg-in |
| 82× | sub-neg |
| 75× | associate-/l/ |
| 72× | exp-neg |
| 71× | clear-num frac-2neg |
| 64× | *-commutative |
| 63× | diff-log |
| 59× | neg-sub0 |
| 54× | exp-diff |
| 50× | fma-udef |
| 36× | swap-sqr |
| 35× | rec-exp 1-exp |
| 33× | pow-unpow |
| 31× | +-commutative |
| 30× | sqrt-div neg-mul-1 |
| 24× | div-sub exp-sum |
| 23× | un-div-inv |
| 22× | pow-exp |
| 20× | pow-to-exp |
| 19× | pow1/3 exp-prod |
| 18× | pow-prod-up log-pow |
| 17× | pow-plus |
| 15× | pow-pow |
| 14× | rem-sqrt-square |
| 13× | difference-cubes |
| 12× | pow1/2 pow-sqr sqrt-pow1 |
| 11× | pow2 |
| 8× | distribute-frac-neg unpow2 |
| 7× | inv-pow pow-flip log-prod |
| 6× | hypot-udef rem-cbrt-cube |
| 5× | rem-cube-cbrt expm1-udef |
| 4× | associate--l- expm1-log1p |
| 3× | log1p-udef log1p-expm1 |
| 2× | associate-+r- distribute-lft-neg-out neg-log distribute-rgt-neg-out rem-log-exp log-div |
| 1× | cube-div pow3 unsub-neg distribute-rgt-out hypot-def associate-+l- associate--l+ |
Total 33.8b remaining (14.2%)
Threshold costs 4.8b (2%)
| 13.2b | 51.7% | Compound Interest |
| 6.7b | 37.4% | Complex division, real part |
| 4.6b | 84.2% | The quadratic formula (r1) |
| 3.4b | 87.7% | The quadratic formula (r2) |
| 1.2b | 0% | Rosa's DopplerBench |