17811 calls:
| 2.9s | (/ (* (* (* 4 4) 4) (* (* (* c a) (* c a)) (* c a))) (* (* (* (* 2 a) (* 2 a)) (* 2 a)) (* (* (- (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 4 a) c))))) (- (- b) (sqrt (- (* b b) (* (* 4 a) c))))))) |
| 2.7s | (/ (* (* (* (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)))) |
| 2.7s | (/ (/ (* (* (* 4 (* c a)) (* 4 (* c a))) (* 4 (* c a))) (* (* (* 2 a) (* 2 a)) (* 2 a))) (* (* (- (- b) (sqrt (fma c (* -4 a) (* b b)))) (- (- b) (sqrt (fma c (* -4 a) (* b b))))) (- (- b) (sqrt (fma c (* -4 a) (* b b)))))) |
| 2.6s | (/ (* (* (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (/ 1 (+ 1 (exp (- s)))) c_p)) (pow (/ 1 (+ 1 (exp (- s)))) c_p)) (* (* (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (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)))) |
| 2.5s | (/ (/ (* (* (* 4 4) 4) (* (* (* c c) c) (* (* a a) a))) (* (* (* 2 2) 2) (* (* a a) a))) (* (* (- (- b) (sqrt (fma c (* -4 a) (* b b)))) (- (- b) (sqrt (fma c (* -4 a) (* b b))))) (- (- b) (sqrt (fma c (* -4 a) (* b b)))))) |
| 71× | intervals |
| 9.2m | 81434× | body | 10240 | exit |
| 52.2s | 31515× | body | 1280 | valid |
| 26.6s | 193667× | body | 80 | valid |
| 21.9s | 23333× | body | 640 | valid |
| 19.9s | 151904× | body | 80 | nan |
| 14.2s | 24631× | body | 320 | valid |
| 12.1s | 34388× | body | 160 | valid |
| 9.0s | 152817× | pre | 80 | true |
| 2.8s | 3043× | body | 2560 | valid |
| 1.9s | 7801× | body | 160 | nan |
| 981.0ms | 4225× | pre | 10240 | exit |
| 243.0ms | 252× | body | 5120 | valid |
430 calls:
| 756.0ms | (* R (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2))) |
| 733.0ms | (fma (sqrt (sqrt (fma -3 (* c a) (* b b)))) (sqrt (sqrt (fma -3 (* c a) (* b b)))) (- b)) |
| 703.0ms | (* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2)) R) |
| 663.0ms | (cbrt (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2)) |
| 634.0ms | (cbrt (* 2 a)) |
Total 36.0b remaining (12.9%)
| 6.9b | 23.6% | Cubic critical, narrow range |
| 5.4b | 50.9% | Quotient of products |
| 4.5b | 83.9% | Cubic critical |
| 3.4b | 0% | Quadratic roots, medium range |
| 3.1b | 0% | Cubic critical, medium range |
| 127× | rewrite-expression-head |
430 calls:
| 427.0ms | (/ (- (* (sqrt (fma b b (* a (* -3 c)))) (fma b b (* a (* -3 c)))) (* b (* b b))) (* (* 3 a) (+ (* (sqrt (fma -3 (* c a) (* b b))) (sqrt (fma -3 (* c a) (* b b)))) (+ (* b b) (* (sqrt (fma -3 (* c a) (* b b))) b))))) |
| 225.0ms | (* (- (/ m (/ v (- 1 m))) 1) (- 1 m)) |
| 156.0ms | (log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1))) |
| 151.0ms | (/ (* (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))) |
| 122.0ms | (* (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1 (* 2 a))) |
| 11997× | times-frac |
| 11084× | *-un-lft-identity |
| 10914× | add-sqr-sqrt |
| 7329× | add-cube-cbrt |
| 3364× | prod-diff |
| 2588× | sqrt-prod |
| 2561× | add-exp-log |
| 1778× | difference-of-squares |
| 1206× | add-cbrt-cube |
| 997× | pow1 |
| 973× | prod-exp |
| 924× | distribute-lft-out-- |
| 884× | div-exp |
| 751× | associate-*l* |
| 695× | pow-exp |
| 614× | add-log-exp |
| 605× | log-pow |
| 569× | exp-prod |
| 567× | associate-/r/ |
| 559× | associate-/l* |
| 554× | distribute-lft-out |
| 520× | div-inv |
| 503× | distribute-rgt-in distribute-lft-in |
| 482× | associate-*r* |
| 464× | associate-/r* |
| 437× | expm1-log1p-u difference-of-sqr-1 |
| 430× | insert-posit16 log1p-expm1-u |
| 426× | cbrt-prod |
| 399× | fma-neg |
| 346× | pow-to-exp |
| 316× | flip-- |
| 315× | flip3-- |
| 256× | cbrt-unprod |
| 248× | cbrt-undiv |
| 206× | distribute-rgt-neg-in |
| 190× | flip-+ |
| 189× | flip3-+ |
| 179× | pow-prod-down |
| 170× | distribute-lft-neg-in |
| 165× | fma-def |
| 153× | cbrt-div |
| 150× | log-prod |
| 147× | 1-exp rec-exp |
| 138× | unswap-sqr |
| 106× | associate-*r/ |
| 100× | frac-times |
| 90× | frac-2neg clear-num |
| 84× | pow-prod-up sub-neg |
| 82× | fma-udef |
| 79× | pow1/3 swap-sqr |
| 78× | *-commutative |
| 75× | exp-sum |
| 73× | associate-*l/ |
| 71× | diff-log |
| 62× | neg-mul-1 |
| 54× | pow-sqr |
| 48× | associate-/l/ |
| 47× | associate-+l+ |
| 46× | associate-+r+ |
| 45× | sqrt-pow1 pow-plus pow1/2 |
| 42× | unpow-prod-down |
| 39× | log-div |
| 36× | sqrt-div |
| 33× | sin-sum |
| 30× | pow-flip pow2 |
| 29× | sum-log rem-sqrt-square |
| 25× | cos-sum log1p-udef |
| 24× | div-sub |
| 23× | +-commutative |
| 22× | expm1-def |
| 19× | inv-pow |
| 15× | neg-sub0 rem-log-exp |
| 13× | pow-unpow |
| 11× | neg-log |
| 9× | associate-+l- |
| 8× | pow-pow tan-quot |
| 7× | log1p-expm1 associate--r+ acos-asin frac-add |
| 6× | cube-unmult |
| 5× | associate--l- |
| 4× | distribute-frac-neg pow3 sqr-pow exp-to-pow hypot-udef sin-mult associate--r- distribute-rgt-out |
| 3× | unpow-prod-up difference-cubes associate--l+ acos-neg distribute-lft-neg-out |
| 2× | exp-diff sqrt-undiv frac-sub sqrt-unprod un-div-inv log1p-def rem-square-sqrt cos-diff rem-cbrt-cube |
| 1× | expm1-log1p expm1-udef remove-posit16 cos-mult distribute-rgt1-in unsub-neg tanh-undef tanh-def asin-acos unpow1/3 rem-exp-log sin-diff e-exp-1 |