| 73× | intervals |
| 26.4s | 294792× | body | 80 | valid |
| 10.2s | 13889× | body | 1280 | valid |
| 5.5s | 16858× | body | 160 | valid |
| 4.7s | 9364× | body | 640 | valid |
| 4.0s | 3872× | body | 2560 | valid |
| 2.9s | 100661× | pre | 80 | true |
| 2.5s | 6830× | body | 320 | valid |
| 2.5s | 2182× | body | 10240 | exit |
| 1.6s | 19374× | body | 80 | nan |
| 185.0ms | 234× | body | 5120 | valid |
| 4.0ms | 100× | pre | 80 | false |
289 calls:
| 2.3s | (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0)) |
| 1.4s | (+ (* (* (* 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) (+ (* 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)))))) (fma (/ (* (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (* 2.0 x1)) (fma x1 x1 1.0)) (+ (- 3.0) 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))) (* (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0)) (* x1 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)))) |
| 989.0ms | (cbrt (* (- (fma 1.0 i (fma 0.5 (pow i 2) (* (log 1.0) n))) (* 0.5 (* (pow i 2) (log 1.0)))) n)) |
| 973.0ms | (cbrt (* (- (fma 1.0 i (fma 0.5 (pow i 2) (* (log 1.0) n))) (* 0.5 (* (pow i 2) (log 1.0)))) n)) |
| 104× | rewrite-expression-head |
289 calls:
| 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))) |
| 1.3s | (+ (+ (* 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)))) |
| 1.0s | (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) |
| 1.0s | (+ (* (* (* 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))) |
| 10168× | times-frac |
| 9683× | *-un-lft-identity |
| 7949× | add-sqr-sqrt |
| 6666× | add-cube-cbrt |
| 3888× | prod-diff |
| 1404× | add-exp-log |
| 1220× | distribute-lft-out |
| 1207× | add-cbrt-cube |
| 852× | distribute-rgt-in distribute-lft-in |
| 719× | associate-*r* |
| 668× | div-inv |
| 637× | pow1 |
| 575× | add-log-exp |
| 536× | associate-*l* |
| 524× | associate-*l/ |
| 476× | difference-of-squares |
| 457× | frac-times |
| 442× | cbrt-div |
| 409× | flip3-- flip-- |
| 394× | prod-exp |
| 363× | associate-/l* |
| 362× | div-exp |
| 360× | associate-*r/ |
| 330× | cbrt-unprod |
| 321× | distribute-rgt-neg-in |
| 305× | unpow-prod-down associate-/r* |
| 302× | associate-/r/ |
| 299× | distribute-lft-neg-in |
| 293× | cbrt-undiv |
| 290× | distribute-lft-out-- log1p-expm1-u |
| 289× | expm1-log1p-u |
| 273× | associate-+l+ |
| 253× | flip-+ flip3-+ |
| 244× | sqrt-prod |
| 189× | cbrt-prod |
| 169× | fma-neg |
| 160× | frac-add |
| 145× | unswap-sqr |
| 144× | pow-prod-down |
| 136× | sqr-pow |
| 121× | cube-prod sum-log |
| 103× | fma-def |
| 101× | neg-mul-1 |
| 100× | frac-sub |
| 75× | swap-sqr |
| 74× | exp-neg |
| 69× | associate-/l/ |
| 68× | neg-sub0 |
| 64× | *-commutative |
| 61× | clear-num sub-neg frac-2neg |
| 56× | exp-diff |
| 47× | diff-log |
| 44× | fma-udef |
| 39× | sqrt-div |
| 36× | pow1/3 |
| 32× | unpow3 cube-mult +-commutative |
| 25× | 1-exp rec-exp |
| 24× | pow-unpow |
| 23× | associate-+r+ |
| 22× | un-div-inv |
| 20× | pow1/2 pow-to-exp pow-exp sqrt-pow1 |
| 19× | pow-prod-up |
| 18× | rem-sqrt-square log-prod |
| 17× | pow-sqr |
| 16× | log-pow div-sub |
| 15× | unpow2 pow-plus |
| 12× | pow2 exp-prod |
| 11× | associate--l+ |
| 10× | neg-log pow-pow |
| 6× | associate--l- distribute-frac-neg log-div |
| 4× | rem-exp-log unsub-neg pow-flip rem-cbrt-cube associate-+r- |
| 3× | rem-cube-cbrt expm1-udef associate-+l- rem-log-exp |
| 2× | cube-div inv-pow distribute-lft-neg-out expm1-log1p hypot-def |
| 1× | log1p-udef log1p-expm1 distribute-rgt-out associate--r+ |
Total 38.4b remaining (16%)
Threshold costs 3.2b (1.3%)
| 12.7b | 51.4% | Compound Interest |
| 7.8b | 30.9% | Complex division, real part |
| 7.1b | 35.9% | Complex division, imag part |
| 3.7b | 86.5% | The quadratic formula (r2) |
| 1.6b | 93.9% | The quadratic formula (r1) |