| 67× | intervals |
| 37.2s | 268138× | body | 80 | valid |
| 12.5s | 13793× | body | 1280 | valid |
| 7.0s | 16922× | body | 160 | valid |
| 6.5s | 9299× | body | 640 | valid |
| 5.1s | 3874× | body | 2560 | valid |
| 4.6s | 2254× | body | 10240 | exit |
| 4.1s | 75916× | pre | 80 | true |
| 2.7s | 19001× | body | 80 | nan |
| 2.5s | 6979× | body | 320 | valid |
| 506.0ms | 210× | body | 5120 | valid |
| 6.0ms | 100× | pre | 80 | false |
272 calls:
| 632.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (fma (/ 1 (sqrt (+ (* x1 x1) 1))) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (sqrt (+ (* x1 x1) 1))) -3)) (+ (* (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (* x1 x1)) (* -6 (* x1 x1)))) |
| 581.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (+ (* (* x1 x1) (fma 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) (- (* (sqrt 6) (sqrt 6))))) 0)) |
| 462.0ms | (sqrt (fma b b (* (* a -4) c))) |
| 436.0ms | (sqrt (fma d d (* c c))) |
| 419.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))) |
| 94× | rewrite-expression-head |
272 calls:
| 1.5s | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (+ (* (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (* x1 x1)) (* -6 (* x1 x1)))) |
| 1.1s | (+ (+ (+ (* 333.75 (pow 33096 6)) (* (* 77617 77617) (+ (+ (+ (* (* 11 (* 77617 77617)) (* 33096 33096)) (- (pow 33096 6))) (* -121 (pow 33096 4))) -2))) (* 5.5 (pow 33096 8))) (/ 77617 (* 2 33096))) |
| 981.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (fma (/ 1 (sqrt (+ (* x1 x1) 1))) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (sqrt (+ (* x1 x1) 1))) -3)) (+ (* (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (* x1 x1)) (* -6 (* x1 x1)))) |
| 910.0ms | (+ (+ (* 333.75 (pow 33096 6)) (* (* 77617 77617) (+ (+ (+ (* (* 11 (* 77617 77617)) (* 33096 33096)) (- (pow 33096 6))) (* -121 (pow 33096 4))) -2))) (* 5.5 (pow 33096 8))) |
| 772.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (+ (* (* x1 x1) (fma 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) (- (* (sqrt 6) (sqrt 6))))) 0)) |
| 7972× | times-frac |
| 7741× | *-un-lft-identity |
| 6764× | add-sqr-sqrt |
| 4716× | add-cube-cbrt |
| 2118× | sqrt-prod |
| 1688× | add-exp-log |
| 1438× | prod-diff |
| 1389× | add-cbrt-cube |
| 925× | difference-of-squares |
| 887× | pow1 |
| 852× | associate-*r* |
| 774× | distribute-lft-out |
| 640× | prod-exp |
| 606× | distribute-lft-out-- |
| 519× | add-log-exp |
| 514× | cbrt-unprod |
| 496× | associate-*l* |
| 460× | associate-/l* |
| 420× | associate-/r* |
| 415× | associate-+l+ |
| 384× | div-exp |
| 360× | sqrt-div |
| 357× | associate-/r/ |
| 351× | div-inv |
| 343× | flip-+ flip3-+ |
| 342× | pow-prod-down |
| 272× | expm1-log1p-u log1p-expm1-u insert-posit16 |
| 253× | cbrt-undiv |
| 248× | frac-times |
| 223× | distribute-rgt-neg-in |
| 220× | distribute-rgt-in distribute-lft-in |
| 213× | associate-*l/ |
| 170× | fma-neg |
| 155× | associate-*r/ |
| 150× | distribute-lft-neg-in |
| 146× | cbrt-div |
| 128× | unswap-sqr |
| 123× | flip3-- flip-- |
| 111× | sum-log |
| 95× | fma-udef |
| 83× | fma-def |
| 81× | exp-sum |
| 71× | *-commutative |
| 68× | frac-2neg clear-num |
| 63× | 1-exp rec-exp |
| 51× | difference-of-sqr-1 |
| 50× | neg-mul-1 frac-add |
| 49× | associate-/l/ |
| 48× | unpow-prod-down exp-prod |
| 47× | sub-neg |
| 44× | cbrt-prod |
| 39× | sqrt-pow1 pow1/2 diff-log |
| 36× | swap-sqr pow-prod-up |
| 30× | rem-sqrt-square |
| 28× | log-prod |
| 27× | pow1/3 |
| 21× | sqr-pow un-div-inv |
| 20× | associate-+r+ +-commutative div-sub log-pow |
| 16× | pow-flip pow-sqr |
| 14× | inv-pow |
| 13× | pow-plus |
| 12× | pow-exp pow-to-exp hypot-def |
| 10× | rem-exp-log |
| 8× | pow2 distribute-frac-neg |
| 7× | associate--l- associate--l+ |
| 6× | neg-sub0 pow-div |
| 5× | distribute-lft-neg-out |
| 4× | exp-diff cube-prod neg-log log-div |
| 3× | remove-posit16 frac-sub pow-unpow |
| 2× | pow3 sqrt-unprod sub-div rem-log-exp hypot-udef rem-square-sqrt |
| 1× | expm1-udef cube-unmult unpow3 hypot-1-def pow-pow distribute-rgt-out-- associate-+l- rem-cbrt-cube cube-mult associate--r- distribute-rgt-out |
Total 33.3b remaining (23.4%)
Threshold costs 2.2b (1.5%)
| 10.8b | 60.5% | Compound Interest |
| 6.8b | 33.4% | Complex division, real part |
| 5.2b | 80.9% | The quadratic formula (r1) |
| 4.7b | 82.9% | The quadratic formula (r2) |
| 2.4b | 0% | Complex division, imag part |