| 73× | intervals |
| 25.1s | 285446× | body | 80 | valid |
| 9.6s | 25073× | body | 160 | valid |
| 9.4s | 13846× | body | 1280 | valid |
| 6.0s | 9547× | body | 640 | valid |
| 3.8s | 100635× | pre | 80 | true |
| 3.5s | 3769× | body | 2560 | valid |
| 2.8s | 2273× | body | 10240 | exit |
| 2.0s | 19295× | body | 80 | nan |
| 1.7s | 6940× | body | 320 | valid |
| 203.0ms | 252× | body | 5120 | valid |
| 5.0ms | 100× | pre | 80 | false |
254 calls:
| 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) (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)))) |
| 973.0ms | (log (cbrt (exp (* x (* x x))))) |
| 944.0ms | (log (* (cbrt (exp (* x (* x x)))) (cbrt (exp (* x (* x x)))))) |
| 941.0ms | (- (* (pow x 4.0) 9.0) (pow y 4.0)) |
| 625.0ms | (* 333.75 (pow y 6.0)) |
| 95× | rewrite-expression-head |
254 calls:
| 3.3s | (+ (+ (+ (* 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))) |
| 3.3s | (+ (+ (* 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))) |
| 956.0ms | (+ (* (* (* 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 (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))) (cbrt (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) (cbrt (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))))) |
| 884.0ms | (+ (* (* (* 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))) |
| 863.0ms | (+ (* (* (* 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)))) |
| 6958× | times-frac |
| 6596× | *-un-lft-identity |
| 6280× | add-sqr-sqrt |
| 5096× | add-cube-cbrt |
| 3502× | prod-diff |
| 1073× | add-exp-log |
| 995× | add-cbrt-cube |
| 772× | distribute-rgt-in distribute-lft-in |
| 729× | pow1 |
| 615× | div-inv |
| 582× | associate-*r/ |
| 506× | sqrt-prod |
| 493× | add-log-exp |
| 453× | associate-*r* |
| 438× | difference-of-squares |
| 436× | distribute-lft-out |
| 427× | associate-*l* |
| 400× | associate-+l+ |
| 357× | distribute-lft-out-- |
| 351× | flip3-- flip-- |
| 317× | cbrt-div |
| 316× | unpow-prod-down |
| 313× | prod-exp |
| 312× | associate-/r* |
| 305× | frac-times |
| 282× | cbrt-unprod |
| 278× | associate-/l* |
| 254× | expm1-log1p-u log1p-expm1-u |
| 224× | fma-neg div-exp |
| 223× | associate-/r/ |
| 211× | pow-prod-down |
| 199× | cbrt-undiv |
| 188× | associate-*l/ |
| 163× | flip-+ flip3-+ |
| 160× | frac-add |
| 152× | distribute-rgt-neg-in |
| 144× | distribute-lft-neg-in |
| 125× | sqr-pow |
| 92× | sum-log |
| 80× | unswap-sqr |
| 74× | sub-neg |
| 59× | frac-2neg clear-num |
| 58× | associate-/l/ |
| 57× | *-commutative fma-def |
| 55× | sqrt-div |
| 48× | neg-mul-1 diff-log |
| 42× | log-pow |
| 36× | log-prod |
| 35× | pow-prod-up fma-udef |
| 30× | cbrt-prod |
| 28× | sqrt-pow1 pow1/2 |
| 27× | rem-sqrt-square |
| 24× | div-sub |
| 23× | pow-sqr |
| 22× | pow1/3 |
| 19× | frac-sub |
| 17× | +-commutative |
| 16× | associate-+r+ swap-sqr hypot-def |
| 15× | exp-sum |
| 14× | pow-plus |
| 13× | 1-exp rec-exp |
| 12× | exp-prod |
| 10× | pow2 |
| 9× | distribute-frac-neg rem-log-exp |
| 8× | log-div |
| 6× | neg-sub0 |
| 5× | distribute-lft-neg-out associate--l- un-div-inv exp-to-pow |
| 4× | distribute-rgt-out-- |
| 3× | pow-exp pow-unpow cube-unmult neg-log pow-to-exp |
| 2× | pow-flip pow3 inv-pow rem-cbrt-cube |
| 1× | expm1-log1p expm1-udef sqrt-undiv associate--l+ sub-div associate--r+ pow-pow +-inverses associate-+l- distribute-rgt-out |
Total 37.9b remaining (14.7%)
Threshold costs 2.6b (1%)
| 13.1b | 42.1% | Compound Interest |
| 7.3b | 34% | Complex division, imag part |
| 4.7b | 76% | Kahan p9 Example |
| 4.7b | 83.9% | The quadratic formula (r1) |
| 3.3b | -14.4% | Complex division, real part |