| 73× | intervals |
| 9.5s | 294645× | body | 80 | valid |
| 4.8s | 13773× | body | 1280 | valid |
| 2.6s | 3900× | body | 2560 | valid |
| 1.8s | 9446× | body | 640 | valid |
| 1.8s | 16782× | body | 160 | valid |
| 1.4s | 100638× | pre | 80 | true |
| 1.0s | 2133× | body | 10240 | exit |
| 730.0ms | 6815× | body | 320 | valid |
| 564.0ms | 19466× | body | 80 | nan |
| 106.0ms | 237× | body | 5120 | valid |
| 3.0ms | 100× | pre | 80 | false |
288 calls:
| 454.0ms | (* (/ 1 (* 1 (fabs (cbrt (+ (* c c) (* d d)))))) (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d)))))) |
| 441.0ms | (cbrt (+ (* (* (* 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) (* (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))))) |
| 441.0ms | (cbrt (+ (* (* (* 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) (* (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))))) |
| 438.0ms | (pow (pow (cbrt (log (+ 1.0 x))) 6) 1/3) |
| 432.0ms | (cbrt (+ (* (* (* 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) (* (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))))) |
| 104× | rewrite-expression-head |
288 calls:
| 1.1s | (+ (+ (* 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))) |
| 623.0ms | (* (* (cbrt (/ 100.0 i)) (cbrt (/ 100.0 i))) (* (* (- (+ (* 1.0 i) (+ (* 0.5 (pow i 2)) (* (log 1.0) n))) (* 0.5 (* (pow i 2) (log 1.0)))) n) (cbrt (/ 100.0 i)))) |
| 591.0ms | (+ (+ (+ (* 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))) |
| 548.0ms | (+ (+ (* 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))) |
| 450.0ms | (cbrt (pow (cbrt (+ (* (* (* 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) (* (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))))) 3)) |
| 7114× | times-frac |
| 5195× | add-sqr-sqrt |
| 5167× | *-un-lft-identity |
| 3590× | cbrt-div |
| 3456× | add-cube-cbrt |
| 2954× | associate-*r/ |
| 1971× | frac-times |
| 1970× | flip-- flip3-- |
| 1741× | add-exp-log |
| 1265× | add-cbrt-cube |
| 1213× | frac-add |
| 1029× | associate-*l/ |
| 826× | unpow-prod-down |
| 817× | difference-of-squares |
| 770× | sqrt-prod |
| 708× | associate-*r* |
| 663× | add-log-exp |
| 658× | pow1 |
| 656× | associate-*l* |
| 533× | prod-exp |
| 525× | cbrt-prod |
| 513× | div-exp |
| 507× | associate-/r* |
| 484× | distribute-lft-out |
| 421× | associate-/l* |
| 390× | sqr-pow |
| 382× | distribute-lft-out-- |
| 381× | cbrt-unprod |
| 379× | cube-prod |
| 362× | div-inv |
| 349× | associate-/r/ |
| 297× | cbrt-undiv |
| 252× | flip-+ flip3-+ |
| 162× | pow-prod-down |
| 159× | unswap-sqr |
| 157× | sum-log |
| 144× | cube-div |
| 138× | unpow2 |
| 111× | swap-sqr |
| 106× | frac-sub |
| 92× | sub-neg |
| 83× | associate-/l/ |
| 81× | distribute-rgt-in distribute-lft-in |
| 74× | *-commutative exp-neg |
| 73× | 1-exp |
| 71× | distribute-rgt-neg-in |
| 67× | neg-sub0 rec-exp |
| 63× | diff-log |
| 58× | exp-diff |
| 54× | sqrt-div |
| 53× | clear-num frac-2neg |
| 49× | pow-exp |
| 47× | distribute-lft-neg-in pow-to-exp |
| 46× | log-prod |
| 43× | +-commutative |
| 40× | pow1/3 |
| 37× | pow-unpow |
| 36× | associate-+l+ |
| 26× | exp-prod |
| 23× | un-div-inv div-sub pow-pow |
| 22× | associate-+r+ |
| 21× | unpow3 cube-mult |
| 20× | pow-prod-up |
| 19× | rem-sqrt-square log-pow |
| 17× | difference-cubes sqrt-pow1 |
| 16× | pow1/2 |
| 14× | pow-plus pow-sqr neg-mul-1 log-div |
| 13× | associate--l+ |
| 12× | pow2 sum-cubes |
| 11× | neg-log |
| 8× | distribute-lft-neg-out |
| 7× | pow-flip |
| 6× | associate--l- inv-pow rem-cbrt-cube rem-log-exp |
| 5× | rem-exp-log associate-+r- associate--r+ |
| 4× | unsub-neg distribute-frac-neg exp-sum |
| 3× | rem-cube-cbrt |
| 2× | associate-+l- |
| 1× | distribute-lft1-in unpow1/3 cube-unmult exp-to-pow |
| 174× | egg-herbie |
Total 32.2b remaining (7.4%)
Threshold costs 4.3b (1%)
| 12.4b | 43.9% | Compound Interest |
| 5.2b | 73.7% | Kahan p9 Example |
| 3.1b | 88.1% | The quadratic formula (r2) |
| 3.0b | 0% | Complex division, real part |
| 2.8b | 0% | Complex division, imag part |