15391 calls:
| 3.6s | (/ (* (* (* 3 3) 3) (* (* (* c a) (* c a)) (* c a))) (* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))))) |
| 3.5s | (/ (* (* (* c c) c) (* (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (* 3 3) 3) (* (* a a) a))) |
| 3.3s | (/ (* (* (* 3 3) 3) (* (* (* c a) (* c a)) (* c a))) (* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))))) |
| 3.0s | (/ (* (* 3 3) 3) (/ (* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))))) (* (* (* c a) (* c a)) (* c a)))) |
| 3.0s | (/ (* (* 3 3) 3) (/ (* (* (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))))) (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))))) (* (* (* c c) c) (* (* a a) a)))) |
| 70× | intervals |
| 8.5m | 78137× | body | 10240 | exit |
| 54.8s | 31715× | body | 1280 | valid |
| 24.2s | 191723× | body | 80 | valid |
| 22.0s | 23911× | body | 640 | valid |
| 20.8s | 149554× | body | 80 | nan |
| 15.0s | 25414× | body | 320 | valid |
| 12.4s | 34856× | body | 160 | valid |
| 9.5s | 149764× | pre | 80 | true |
| 2.1s | 1995× | body | 2560 | valid |
| 1.6s | 8158× | body | 160 | nan |
| 1.2s | 4122× | pre | 10240 | exit |
| 171.0ms | 130× | body | 5120 | valid |
412 calls:
| 21.4s | (* (hypot (* (- lambda1 lambda2) (- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))) (- phi1 phi2)) R) |
| 2.2s | (- (log 2) (- (/ 3/32 (* (* x x) (* x x))) (log x))) |
| 709.0ms | (fma (sqrt (* (cbrt (fma -3 (* c a) (* b b))) (cbrt (fma -3 (* c a) (* b b))))) (sqrt (cbrt (fma -3 (* c a) (* b b)))) (- b)) |
| 659.0ms | (cbrt (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2)) |
| 652.0ms | (* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2)) R) |
Total 26.9b remaining (12.1%)
| 6.7b | 38% | Quotient of products |
| 3.2b | 0% | Cubic critical, wide range |
| 3.2b | 86% | Cubic critical |
| 2.9b | 0% | Quadratic roots, medium range |
| 2.3b | 25% | Quadratic roots, wide range |
| 123× | rewrite-expression-head |
412 calls:
| 604.0ms | (- (log 2) (- (/ 3/32 (* (* x x) (* x x))) (log x))) |
| 325.0ms | (* (- lambda1 lambda2) (- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))) |
| 214.0ms | (* (/ (exp a) (fma (exp a) (* (exp a) (exp a)) (* (exp b) (* (exp b) (exp b))))) (exp (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))))) |
| 201.0ms | (* (- (/ m (/ v (- 1 m))) 1) (- 1 m)) |
| 182.0ms | (* (- lambda1 lambda2) (- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (log (exp (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))))) |
| 17204× | times-frac |
| 13047× | *-un-lft-identity |
| 12671× | add-sqr-sqrt |
| 10459× | add-cube-cbrt |
| 5783× | prod-diff |
| 2192× | sqrt-prod |
| 1591× | add-exp-log |
| 1366× | add-cbrt-cube |
| 1001× | difference-of-squares |
| 978× | pow1 |
| 859× | div-inv |
| 711× | cbrt-prod |
| 586× | distribute-lft-out |
| 585× | add-log-exp |
| 542× | distribute-lft-out-- |
| 529× | associate-*l* |
| 483× | associate-/r* |
| 465× | associate-/l* |
| 420× | associate-*r* |
| 416× | expm1-log1p-u |
| 413× | log1p-expm1-u |
| 412× | insert-posit16 |
| 405× | fma-neg |
| 391× | prod-exp |
| 379× | div-exp |
| 376× | distribute-rgt-in distribute-lft-in |
| 375× | associate-/r/ |
| 337× | cbrt-unprod |
| 287× | cbrt-undiv |
| 240× | flip-- |
| 239× | flip3-- |
| 194× | difference-of-sqr-1 |
| 180× | fma-def |
| 172× | pow-prod-down distribute-rgt-neg-in |
| 150× | distribute-lft-neg-in |
| 144× | flip-+ |
| 143× | flip3-+ |
| 118× | unswap-sqr |
| 116× | log-prod |
| 111× | associate-*r/ |
| 98× | log-pow |
| 96× | frac-times |
| 93× | sub-neg |
| 89× | frac-2neg clear-num |
| 88× | associate-*l/ |
| 84× | *-commutative |
| 81× | associate--r+ |
| 72× | tan-quot |
| 68× | swap-sqr |
| 59× | fma-udef |
| 58× | associate--l+ |
| 57× | diff-log |
| 56× | exp-sum |
| 55× | pow-prod-up |
| 50× | neg-mul-1 |
| 49× | pow1/3 exp-prod |
| 47× | cbrt-div |
| 44× | 1-exp |
| 41× | associate-/l/ pow-sqr |
| 38× | rec-exp |
| 34× | pow-plus |
| 33× | sum-log sin-sum sqrt-pow1 pow1/2 |
| 32× | rem-sqrt-square |
| 31× | frac-sub cos-sum |
| 30× | sqrt-div |
| 28× | pow-flip pow2 log-div |
| 23× | +-commutative div-sub |
| 22× | distribute-rgt-out-- |
| 18× | rem-log-exp |
| 17× | inv-pow |
| 15× | expm1-def |
| 12× | sin-mult |
| 10× | neg-sub0 |
| 9× | associate-+l- |
| 8× | cos-mult neg-log |
| 7× | exp-diff sub-div pow-unpow pow-pow acos-asin log1p-udef |
| 6× | exp-to-pow associate--r- |
| 5× | un-div-inv rem-exp-log |
| 4× | associate--l- pow-exp log1p-expm1 unpow-prod-down |
| 3× | unpow-prod-up expm1-log1p expm1-udef associate-+r+ distribute-frac-neg hypot-udef acos-neg cube-div frac-add distribute-rgt-out |
| 2× | sqrt-undiv rem-cube-cbrt sqr-pow pow-to-exp log1p-def cos-diff |
| 1× | cube-prod associate-+r- distribute-rgt1-in cube-mult unpow3 tanh-def tanh-undef asin-acos sin-diff e-exp-1 |