297 calls:
| 7.5s | (/ (/ (- (pow (pow (+ 1.0 (/ i n)) n) 3) (pow 1.0 3)) (fma 1.0 (+ (pow (+ 1.0 (/ i n)) n) 1.0) (pow (+ 1.0 (/ i n)) (* 2 n)))) (/ i n)) |
| 1.2s | (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0)) |
| 933.0ms | (+ (* (fma (* (cbrt (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (cbrt (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)))) (cbrt (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (* (cbrt 3.0) (* (cbrt 3.0) (cbrt 3.0))))) (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)))) (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))))) |
| 529.0ms | (/ (* c (* 4.0 a)) (sqrt (- (sqrt (- (pow b 2) (* 4.0 (* a c)))) b))) |
| 502.0ms | (expm1 (log1p (* (pow y 6.0) 333.75))) |
| 73× | intervals |
| 8.9s | 293125× | body | 80 | valid |
| 4.6s | 13893× | body | 1280 | valid |
| 2.2s | 3777× | body | 2560 | valid |
| 1.9s | 16855× | body | 160 | valid |
| 1.7s | 9421× | body | 640 | valid |
| 1.3s | 100616× | pre | 80 | true |
| 1.0s | 2214× | body | 10240 | exit |
| 666.0ms | 6835× | body | 320 | valid |
| 503.0ms | 19002× | body | 80 | nan |
| 86.0ms | 221× | body | 5120 | valid |
| 2.0ms | 100× | pre | 80 | false |
| 104× | rewrite-expression-head |
297 calls:
| 1.2s | (+ (+ (+ (* 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))) |
| 1.1s | (+ (+ (* 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))) |
| 962.0ms | (/ (log (exp (- (pow (+ 1.0 (/ i n)) n) 1.0))) (/ i n)) |
| 823.0ms | (+ (* (* (* 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)) (* (* (cbrt (* (* (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0) x1) x1)) (cbrt (* (* (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0) x1) x1))) (cbrt (* (* (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0) x1) x1)))) |
| 668.0ms | (+ (* (* (* 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) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))) |
| 16187× | times-frac |
| 13144× | add-sqr-sqrt |
| 12494× | *-un-lft-identity |
| 9329× | add-cube-cbrt |
| 5016× | prod-diff |
| 2119× | difference-of-squares |
| 2111× | unpow-prod-down |
| 1494× | add-exp-log |
| 1415× | cube-prod |
| 1192× | add-cbrt-cube |
| 1121× | sqr-pow |
| 958× | div-inv |
| 939× | distribute-lft-out |
| 885× | distribute-rgt-in distribute-lft-in |
| 823× | associate-*r* |
| 774× | associate-*l/ |
| 689× | sqrt-prod |
| 677× | distribute-lft-out-- |
| 622× | pow1 |
| 587× | add-log-exp |
| 570× | associate-/l* |
| 548× | associate-*l* |
| 545× | associate-+r+ |
| 423× | div-exp |
| 401× | prod-exp |
| 390× | associate-/r* |
| 384× | flip-- flip3-- |
| 363× | frac-times |
| 340× | associate-*r/ |
| 315× | associate-/r/ |
| 300× | cbrt-undiv |
| 297× | log1p-expm1-u expm1-log1p-u |
| 294× | cbrt-div |
| 289× | cbrt-unprod |
| 277× | cbrt-prod |
| 273× | associate-+l+ |
| 242× | fma-neg |
| 236× | flip-+ flip3-+ |
| 171× | unswap-sqr |
| 153× | frac-add |
| 151× | log-pow |
| 140× | swap-sqr |
| 137× | fma-def |
| 127× | exp-prod |
| 124× | sum-log |
| 119× | pow-prod-down |
| 101× | frac-sub |
| 100× | unpow3 cube-mult |
| 93× | distribute-rgt-neg-in |
| 84× | distribute-lft-neg-in |
| 82× | log-prod |
| 80× | exp-neg |
| 73× | associate-/l/ |
| 70× | sub-neg |
| 69× | *-commutative |
| 68× | neg-sub0 |
| 63× | exp-diff clear-num frac-2neg |
| 62× | sqrt-div |
| 51× | 1-exp rec-exp |
| 49× | diff-log |
| 48× | fma-udef |
| 42× | difference-cubes |
| 39× | exp-sum |
| 32× | pow-unpow |
| 31× | +-commutative |
| 29× | pow-to-exp pow-exp |
| 28× | neg-mul-1 |
| 26× | un-div-inv |
| 19× | sqrt-pow1 log-div |
| 18× | div-sub |
| 17× | pow1/2 |
| 16× | cube-div rem-sqrt-square pow-prod-up |
| 15× | pow-plus pow-pow |
| 13× | unpow2 pow1/3 |
| 11× | pow2 pow-sqr rem-log-exp |
| 9× | inv-pow pow-flip |
| 7× | distribute-lft-neg-out distribute-frac-neg rem-cbrt-cube |
| 5× | associate-+l- |
| 4× | rem-cube-cbrt neg-log sum-cubes |
| 3× | rem-exp-log associate--l- expm1-udef associate--l+ |
| 2× | sqrt-pow2 expm1-log1p associate-+r- unpow-prod-up associate--r+ |
| 1× | unsub-neg pow3 distribute-rgt-out |
Total 49.0b remaining (19.8%)
Threshold costs 2.8b (1.1%)
| 15.9b | 38.5% | Compound Interest |
| 10.4b | 27.5% | Complex division, real part |
| 7.7b | 32.5% | Complex division, imag part |
| 5.3b | 80.3% | The quadratic formula (r2) |
| 4.6b | 83.5% | The quadratic formula (r1) |