| 73× | intervals |
| 25.7s | 286164× | body | 80 | valid |
| 9.6s | 25112× | body | 160 | valid |
| 8.6s | 13925× | body | 1280 | valid |
| 4.6s | 9164× | body | 640 | valid |
| 4.1s | 3804× | body | 2560 | valid |
| 3.4s | 2143× | body | 10240 | exit |
| 3.0s | 100577× | pre | 80 | true |
| 1.8s | 19328× | body | 80 | nan |
| 1.7s | 7014× | body | 320 | valid |
| 184.0ms | 213× | body | 5120 | valid |
| 3.0ms | 100× | pre | 80 | false |
287 calls:
| 3.2s | (cbrt (- (fma n (log 1.0) (fma (* i i) 0.5 (* 1.0 i))) (* (* 0.5 (log 1.0)) (* i i)))) |
| 3.0s | (cbrt (- (fma n (log 1.0) (fma (* i i) 0.5 (* 1.0 i))) (* (* 0.5 (log 1.0)) (* i i)))) |
| 2.9s | (cbrt (- (fma n (log 1.0) (fma (* i i) 0.5 (* 1.0 i))) (* (* 0.5 (log 1.0)) (* i i)))) |
| 945.0ms | (+ (* (* (* 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 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) (- (* (sqrt 6.0) (sqrt 6.0))))) (* (fma 6.0 -1 6.0) (* x1 x1)))) |
| 725.0ms | (cbrt (* (* (- (* (pow x 4.0) 9.0) (pow y 4.0)) (- (* (pow x 4.0) 9.0) (pow y 4.0))) (- (* (pow x 4.0) 9.0) (pow y 4.0)))) |
| 103× | rewrite-expression-head |
287 calls:
| 4.3s | (+ (+ (* (* (* 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)) (* (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (* x1 x1))) (* (- 6.0) (* x1 x1))) |
| 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))) (/ x (* 2.0 y))) |
| 3.0s | (+ (+ (* 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))) |
| 2.4s | (+ (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (fma (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (/ 1 (+ (* x1 x1) 1.0)) (- 3.0))) (* (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (* x1 x1))) (* (- 6.0) (* x1 x1))) |
| 953.0ms | (+ (* (* (* 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 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) (- (* (sqrt 6.0) (sqrt 6.0))))) (* (fma 6.0 -1 6.0) (* x1 x1)))) |
| 6380× | times-frac |
| 6219× | *-un-lft-identity |
| 5948× | add-sqr-sqrt |
| 4800× | add-cube-cbrt |
| 3082× | prod-diff |
| 1327× | add-exp-log |
| 1259× | add-cbrt-cube |
| 972× | distribute-rgt-in distribute-lft-in |
| 971× | pow1 |
| 695× | associate-*r* |
| 604× | sqrt-prod |
| 562× | add-log-exp |
| 539× | div-inv |
| 516× | associate-*l* |
| 496× | associate-+l+ |
| 457× | prod-exp |
| 442× | cbrt-unprod |
| 422× | distribute-lft-out |
| 416× | difference-of-squares |
| 316× | pow-prod-down |
| 315× | distribute-lft-out-- |
| 289× | log1p-expm1-u |
| 287× | expm1-log1p-u |
| 280× | associate-/l* |
| 261× | cbrt-prod |
| 243× | associate-/r* |
| 240× | div-exp |
| 220× | frac-times |
| 212× | flip3-- flip-- |
| 211× | cbrt-undiv associate-*r/ |
| 208× | fma-neg |
| 206× | flip-+ flip3-+ |
| 186× | associate-/r/ |
| 152× | unpow-prod-down |
| 146× | associate-*l/ |
| 145× | distribute-rgt-neg-in |
| 141× | distribute-lft-neg-in |
| 122× | sum-log |
| 115× | unswap-sqr |
| 104× | swap-sqr |
| 98× | frac-sub |
| 92× | fma-def |
| 90× | sub-neg |
| 84× | exp-neg |
| 77× | sqrt-pow1 |
| 76× | *-commutative |
| 75× | sqr-pow |
| 72× | sqrt-div |
| 69× | neg-sub0 |
| 63× | exp-diff pow1/2 |
| 62× | associate-/l/ |
| 57× | cbrt-div |
| 55× | frac-2neg clear-num |
| 54× | pow-prod-up |
| 47× | neg-mul-1 |
| 46× | diff-log |
| 45× | rem-sqrt-square |
| 40× | log-pow |
| 37× | pow1/3 frac-add |
| 34× | log-prod pow-sqr |
| 33× | fma-udef |
| 31× | pow-plus |
| 26× | log-div |
| 25× | +-commutative |
| 22× | un-div-inv |
| 21× | div-sub |
| 19× | associate-+r+ |
| 16× | pow2 |
| 14× | associate--l- |
| 13× | 1-exp rec-exp |
| 9× | distribute-lft-neg-out distribute-frac-neg hypot-def |
| 7× | rem-log-exp exp-prod |
| 5× | pow-flip associate--r+ inv-pow |
| 4× | cube-prod pow-exp pow3 pow-to-exp |
| 3× | pow-unpow sqrt-unprod rem-square-sqrt |
| 2× | expm1-log1p expm1-udef neg-log unsub-neg associate--r- |
| 1× | exp-sum associate--l+ unpow3 sub-div pow-pow distribute-rgt-out-- associate-+l- cube-mult rem-cbrt-cube distribute-rgt-out |
Total 36.0b remaining (14%)
Threshold costs 2.9b (1.1%)
| 10.8b | 52.6% | Compound Interest |
| 8.5b | 28.8% | Complex division, real part |
| 4.5b | 84.2% | The quadratic formula (r1) |
| 4.3b | 84.8% | The quadratic formula (r2) |
| 3.2b | 0% | Complex division, imag part |