20717 calls:
| 5.2s | (/ (* (* (* (* 3 c) (* 3 c)) (* 3 c)) (* (* a a) a)) (* (* (* (* 3 3) 3) (* (* a a) a)) (* (* (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))))) |
| 4.9s | (/ (* (* (* (* 3 3) 3) (* (* c c) c)) (* (* a a) 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))))))) |
| 3.6s | (/ (* (* (* 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))))))) |
| 3.4s | (/ (* (* (* (* 3 c) a) (* (* 3 c) a)) (* (* 3 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 | (/ (* (* (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n))) (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n))) (* (* (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))) |
| 72× | intervals |
| 9.4m | 79762× | body | 10240 | exit |
| 56.3s | 32993× | body | 1280 | valid |
| 24.7s | 197943× | body | 80 | valid |
| 23.0s | 24210× | body | 640 | valid |
| 22.6s | 151948× | body | 80 | nan |
| 14.1s | 25408× | body | 320 | valid |
| 13.4s | 34740× | body | 160 | valid |
| 9.7s | 152346× | pre | 80 | true |
| 2.8s | 3045× | body | 2560 | valid |
| 1.3s | 8268× | body | 160 | nan |
| 1.2s | 4148× | pre | 10240 | exit |
| 210.0ms | 228× | body | 5120 | valid |
446 calls:
| 1.0s | (* (sqrt (hypot (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (- phi1 phi2))) (* (sqrt (hypot (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (- phi1 phi2))) R)) |
| 985.0ms | (cbrt (/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a)) |
| 854.0ms | (* (sqrt (hypot (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (- phi1 phi2))) R) |
| 754.0ms | (/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))) |
| 723.0ms | (* (hypot (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (- phi1 phi2)) R) |
Total 28.3b remaining (10.5%)
| 4.7b | 14% | Quotient of products |
| 4.7b | 83.3% | Cubic critical |
| 3.1b | 0% | Quadratic roots, wide range |
| 2.1b | 0% | 2-ancestry mixing, positive discriminant |
| 2.1b | 0% | Cubic critical, medium range |
| 131× | rewrite-expression-head |
446 calls:
| 401.0ms | (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
| 233.0ms | (/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))) |
| 230.0ms | (* (- (/ m (/ v (- 1 m))) 1) (- 1 m)) |
| 175.0ms | (- (pow (/ 2 (+ 1 (exp (* -2 x)))) 3) (pow 1 3)) |
| 159.0ms | (* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x))))) |
| 10186× | *-un-lft-identity |
| 9421× | add-sqr-sqrt |
| 8904× | times-frac |
| 7224× | add-cube-cbrt |
| 5102× | prod-diff |
| 2895× | add-exp-log |
| 2545× | sqrt-prod |
| 1532× | add-cbrt-cube |
| 1148× | pow1 |
| 1130× | prod-exp |
| 1087× | unpow-prod-down |
| 1049× | difference-of-squares |
| 1033× | cube-prod |
| 1031× | distribute-rgt-in distribute-lft-in |
| 984× | div-exp |
| 812× | distribute-lft-out |
| 710× | pow-exp |
| 704× | cbrt-prod |
| 637× | associate-*r* |
| 629× | add-log-exp |
| 569× | div-inv |
| 488× | fma-neg distribute-lft-out-- |
| 485× | associate-/r/ |
| 453× | expm1-log1p-u |
| 446× | insert-posit16 log1p-expm1-u |
| 445× | associate-/l* |
| 438× | cbrt-unprod |
| 409× | associate-/r* |
| 374× | cbrt-undiv |
| 356× | associate-*l* |
| 352× | pow-to-exp |
| 288× | distribute-rgt-neg-in |
| 246× | distribute-lft-neg-in |
| 242× | flip-- |
| 241× | flip3-- |
| 216× | flip-+ |
| 215× | flip3-+ |
| 207× | sqr-pow |
| 196× | pow-prod-down |
| 164× | cbrt-div |
| 163× | difference-of-sqr-1 |
| 153× | log-prod |
| 149× | frac-times |
| 139× | associate-*r/ |
| 138× | fma-def |
| 125× | 1-exp rec-exp |
| 121× | cube-mult |
| 118× | unswap-sqr |
| 115× | unpow3 pow-prod-up |
| 110× | associate-*l/ |
| 100× | fma-udef |
| 97× | swap-sqr |
| 92× | sub-neg |
| 91× | pow-plus |
| 90× | *-commutative |
| 83× | frac-2neg clear-num |
| 82× | neg-mul-1 |
| 73× | diff-log |
| 69× | pow1/3 |
| 63× | pow-sqr |
| 62× | tan-quot |
| 54× | associate-/l/ |
| 49× | pow2 exp-prod |
| 46× | pow-pow |
| 42× | rem-sqrt-square |
| 41× | sqrt-pow1 pow1/2 |
| 37× | log-pow |
| 36× | sqrt-div |
| 33× | sin-sum |
| 28× | pow-unpow |
| 27× | sum-log |
| 26× | cos-sum |
| 24× | frac-sub log1p-udef |
| 20× | +-commutative |
| 17× | pow-flip cube-div |
| 15× | pow3 div-sub |
| 14× | neg-sub0 |
| 13× | rem-log-exp |
| 12× | tanh-def log-div |
| 11× | frac-add |
| 10× | neg-log inv-pow |
| 9× | expm1-def |
| 8× | associate-+l- |
| 7× | log1p-expm1 difference-cubes acos-asin |
| 6× | rem-cube-cbrt associate--l- rem-cbrt-cube |
| 5× | sqrt-undiv |
| 4× | distribute-rgt-out-- distribute-rgt-out |
| 3× | unpow-prod-up exp-sum associate--r+ unpow1/3 rem-exp-log |
| 2× | exp-diff associate--l+ hypot-udef sub-div sin-mult cos-diff |
| 1× | associate-+l+ remove-posit16 cos-mult distribute-rgt1-in associate-+r+ distribute-frac-neg tanh-undef asin-acos acos-neg sin-diff e-exp-1 |