12386 calls:
| 1.4s | (/ (* (* (+ (/ (/ (fma 2 x2 (- (* x1 (* x1 3)) x1)) (hypot 1 x1)) (hypot 1 x1)) -3) (+ (/ (/ (fma 2 x2 (- (* x1 (* x1 3)) x1)) (hypot 1 x1)) (hypot 1 x1)) -3)) (+ (/ (/ (fma 2 x2 (- (* x1 (* x1 3)) x1)) (hypot 1 x1)) (hypot 1 x1)) -3)) (/ (* (* (/ (fma x1 x1 1) 2) (/ (fma x1 x1 1) 2)) (/ (fma x1 x1 1) 2)) (* (* (* (fma 2 x2 (- (* x1 (* x1 3)) x1)) (fma 2 x2 (- (* x1 (* x1 3)) x1))) (fma 2 x2 (- (* x1 (* x1 3)) x1))) (* (* x1 x1) x1)))) |
| 1.2s | (* (* (* (- (/ (- (fma x2 2 (* (* 3 x1) x1)) x1) (fma x1 x1 1)) 3) (- (/ (- (fma x2 2 (* (* 3 x1) x1)) x1) (fma x1 x1 1)) 3)) (- (/ (- (fma x2 2 (* (* 3 x1) x1)) x1) (fma x1 x1 1)) 3)) (* (* (* (* x1 2) (* x1 2)) (* x1 2)) (/ (* (* (- (fma x2 2 (* (* 3 x1) x1)) x1) (- (fma x2 2 (* (* 3 x1) x1)) x1)) (- (fma x2 2 (* (* 3 x1) x1)) x1)) (* (* (fma x1 x1 1) (fma x1 x1 1)) (fma x1 x1 1))))) |
| 1.2s | (/ (* (* (+ (/ (/ (fma 2 x2 (- (* x1 (* x1 3)) x1)) (hypot 1 x1)) (hypot 1 x1)) -3) (+ (/ (/ (fma 2 x2 (- (* x1 (* x1 3)) x1)) (hypot 1 x1)) (hypot 1 x1)) -3)) (+ (/ (/ (fma 2 x2 (- (* x1 (* x1 3)) x1)) (hypot 1 x1)) (hypot 1 x1)) -3)) (/ (/ (* (* (fma x1 x1 1) (fma x1 x1 1)) (fma x1 x1 1)) (* (* 2 2) 2)) (* (* (* (fma 2 x2 (- (* x1 (* x1 3)) x1)) x1) (* (fma 2 x2 (- (* x1 (* x1 3)) x1)) x1)) (* (fma 2 x2 (- (* x1 (* x1 3)) x1)) x1)))) |
| 1.1s | (/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))) |
| 1.1s | (/ (* (* (+ (/ (/ (fma 2 x2 (- (* x1 (* x1 3)) x1)) (hypot 1 x1)) (hypot 1 x1)) -3) (+ (/ (/ (fma 2 x2 (- (* x1 (* x1 3)) x1)) (hypot 1 x1)) (hypot 1 x1)) -3)) (+ (/ (/ (fma 2 x2 (- (* x1 (* x1 3)) x1)) (hypot 1 x1)) (hypot 1 x1)) -3)) (/ (* (* (/ (fma x1 x1 1) 2) (/ (fma x1 x1 1) 2)) (/ (fma x1 x1 1) 2)) (* (* (* (fma 2 x2 (- (* x1 (* x1 3)) x1)) x1) (* (fma 2 x2 (- (* x1 (* x1 3)) x1)) x1)) (* (fma 2 x2 (- (* x1 (* x1 3)) x1)) x1)))) |
| 63× | intervals |
| 36.9s | 263175× | body | 80 | valid |
| 10.3s | 12747× | body | 1280 | valid |
| 8.9s | 16842× | body | 160 | valid |
| 5.6s | 9055× | body | 640 | valid |
| 4.3s | 2731× | body | 2560 | valid |
| 4.0s | 75618× | pre | 80 | true |
| 3.1s | 6637× | body | 320 | valid |
| 3.1s | 1987× | body | 10240 | exit |
| 2.1s | 16633× | body | 80 | nan |
| 157.0ms | 122× | body | 5120 | valid |
268 calls:
| 703.0ms | (fma (fma (/ (- (fma x2 2 (* (* 3 x1) x1)) x1) (fma x1 x1 1)) 4 -6) (* x1 x1) (/ (* (+ (fma (/ 1 (sqrt (fma x1 x1 1))) (/ (- (fma x2 2 (* (* 3 x1) x1)) x1) (sqrt (fma x1 x1 1))) (- (* (sqrt 3) (sqrt 3)))) 0) (* (* x1 2) (- (fma x2 2 (* (* 3 x1) x1)) x1))) (fma x1 x1 1))) |
| 519.0ms | (* (+ (fma (/ 1 (sqrt (fma x1 x1 1))) (/ (- (fma x2 2 (* (* 3 x1) x1)) x1) (sqrt (fma x1 x1 1))) (- (* (sqrt 3) (sqrt 3)))) 0) (* (* x1 2) (- (fma x2 2 (* (* 3 x1) x1)) x1))) |
| 498.0ms | (/ (fma 100 (exp (* n (log1p (/ i n)))) -100) (/ i n)) |
| 483.0ms | (cbrt (* (sqrt 0.12900613773279798) (* (* x x) x))) |
| 478.0ms | (fma (* (/ 1 (+ b a)) (/ PI (- b a))) (/ -1 b) (/ (/ 1 (+ b a)) (* (/ a PI) (- b a)))) |
| 95× | rewrite-expression-head |
268 calls:
| 1.5s | (exp (log (exp (+ e (+ d (+ b (+ a c))))))) |
| 1.2s | (exp (log (* (exp e) (* (exp d) (* (exp b) (* (exp a) (exp c))))))) |
| 1.2s | (+ (+ (+ (* 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))) |
| 909.0ms | (+ (+ (* 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))) |
| 895.0ms | (+ (+ (* 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))) |
| 17173× | times-frac |
| 12857× | *-un-lft-identity |
| 12361× | add-sqr-sqrt |
| 11362× | add-cube-cbrt |
| 8550× | prod-diff |
| 3406× | exp-sum |
| 2771× | sqrt-prod |
| 1979× | associate--r+ |
| 1810× | distribute-rgt-in distribute-lft-in |
| 1061× | pow1 |
| 1047× | add-exp-log |
| 964× | add-cbrt-cube |
| 802× | div-inv |
| 615× | associate-*l* |
| 564× | associate-*r* |
| 561× | distribute-lft-out |
| 558× | add-log-exp |
| 436× | cbrt-prod |
| 351× | pow-prod-down |
| 348× | associate-/l* sub-neg |
| 319× | associate-/r* |
| 303× | prod-exp |
| 283× | difference-of-squares |
| 281× | cbrt-unprod |
| 272× | expm1-log1p-u |
| 268× | log1p-expm1-u insert-posit16 |
| 219× | div-exp |
| 210× | distribute-lft-out-- |
| 195× | fma-neg |
| 171× | cbrt-undiv |
| 165× | sqrt-div |
| 160× | unswap-sqr |
| 156× | flip-+ flip3-+ |
| 150× | swap-sqr |
| 142× | sum-log |
| 139× | associate-*r/ |
| 132× | fma-def |
| 125× | pow-prod-up associate-/r/ |
| 121× | sqrt-pow1 |
| 120× | distribute-rgt-neg-in |
| 107× | distribute-lft-neg-in |
| 105× | pow1/2 |
| 97× | frac-times |
| 85× | flip3-- flip-- |
| 75× | exp-prod |
| 70× | *-commutative |
| 64× | pow-sqr |
| 60× | associate-*l/ |
| 56× | frac-2neg pow-plus clear-num |
| 54× | neg-mul-1 |
| 48× | fma-udef |
| 47× | cbrt-div |
| 38× | pow1/3 diff-log |
| 31× | log-pow |
| 30× | pow2 associate-/l/ |
| 28× | +-commutative unpow-prod-down |
| 26× | rem-sqrt-square |
| 24× | sqrt-unprod |
| 23× | 1-exp |
| 21× | rec-exp |
| 15× | pow-flip |
| 14× | associate-+l+ div-sub rem-exp-log |
| 13× | log-prod |
| 12× | associate--l+ |
| 11× | sqr-pow |
| 9× | distribute-frac-neg |
| 8× | frac-sub |
| 7× | distribute-lft-neg-out pow-exp pow-to-exp hypot-def frac-add |
| 6× | associate-+r+ distribute-neg-frac |
| 5× | pow3 rem-square-sqrt |
| 4× | neg-sub0 distribute-rgt-out-- cube-unmult log1p-expm1 inv-pow hypot-udef log1p-udef |
| 3× | expm1-udef pow-unpow associate--l- |
| 2× | neg-log rem-log-exp |
| 1× | expm1-log1p distribute-lft1-in associate-+r- sub-div pow-pow un-div-inv unsub-neg associate--r- |
Total 35.2b remaining (23%)
| 12.0b | 50.4% | Compound Interest |
| 6.7b | 36.5% | Complex division, real part |
| 5.2b | 81.3% | The quadratic formula (r2) |
| 4.7b | 75.4% | Kahan p9 Example |
| 2.0b | 0% | Complex division, imag part |