32297 calls:
| 3.0s | (/ (* (* (* 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))))))) |
| 1.4s | (* (* (* (* 3 a) (* 3 a)) (* 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))) (+ (* (sqrt (fma -3 (* c a) (* b b))) (sqrt (fma -3 (* c a) (* b b)))) (+ (* b b) (* (sqrt (fma -3 (* c a) (* b b))) b)))) (+ (* (sqrt (fma -3 (* c a) (* b b))) (sqrt (fma -3 (* c a) (* b b)))) (+ (* b b) (* (sqrt (fma -3 (* c a) (* b b))) b))))) |
| 1.2s | (/ (- (exp x) (exp (- x))) (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) |
| 1.2s | (/ (- (exp x) (exp (- x))) (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) |
| 1.2s | (* (/ (+ x 1) 1) (- (- x 1))) |
| 65× | intervals |
| 9.5m | 81165× | body | 10240 | exit |
| 50.8s | 26427× | body | 1280 | valid |
| 21.6s | 166555× | body | 80 | valid |
| 19.7s | 19602× | body | 640 | valid |
| 17.1s | 131789× | body | 80 | nan |
| 13.3s | 21661× | body | 320 | valid |
| 8.3s | 120349× | pre | 80 | true |
| 8.2s | 24550× | body | 160 | valid |
| 1.9s | 4165× | pre | 10240 | exit |
| 1.6s | 1113× | body | 2560 | valid |
| 1.5s | 7864× | body | 160 | nan |
| 109.0ms | 120× | body | 5120 | valid |
393 calls:
| 909.0ms | (cbrt (fma 2/15 (pow x 5) x)) |
| 879.0ms | (cbrt (fma 2/15 (pow x 5) x)) |
| 870.0ms | (cbrt (fma 2/15 (pow x 5) x)) |
| 798.0ms | (/ (* (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))) |
| 672.0ms | (* (hypot (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (- phi1 phi2)) R) |
| 119× | rewrite-expression-head |
393 calls:
| 2.1s | (/ (- (* (sqrt (fma b b (* a (* c -4)))) (fma b b (* a (* c -4)))) (* b (* b b))) (* a (* 2 (+ (* (sqrt (fma c (* -4 a) (* b b))) (sqrt (fma c (* -4 a) (* b b)))) (+ (* b b) (* (sqrt (fma c (* -4 a) (* b b))) b)))))) |
| 1.6s | (/ (* (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))) |
| 1.2s | (* (- (/ (/ (- m (* m (* m m))) v) (+ 1 m)) 1) (- 1 m)) |
| 1.2s | (* (- (* (* (- 1 m) m) (/ 1 v)) 1) (- 1 m)) |
| 1.0s | (* (* (- (/ m (/ v (- 1 m))) 1) (sqrt m)) (sqrt m)) |
| 51118× | add-sqr-sqrt |
| 40592× | *-un-lft-identity |
| 28667× | times-frac |
| 27565× | add-cube-cbrt |
| 19947× | associate-/r* |
| 18555× | associate-/l* |
| 14495× | associate-*l* |
| 11075× | associate-*r* |
| 10736× | prod-diff |
| 10144× | frac-sub |
| 9959× | frac-times |
| 9724× | frac-add |
| 9578× | cbrt-prod |
| 8973× | unswap-sqr |
| 7255× | unpow-prod-down |
| 6756× | associate-/l/ |
| 4928× | associate-*l/ |
| 4787× | log-div |
| 4659× | difference-of-squares |
| 4009× | distribute-lft-out |
| 3800× | swap-sqr |
| 3487× | clear-num |
| 3482× | frac-2neg |
| 2788× | *-commutative |
| 2756× | sqrt-prod |
| 2500× | add-exp-log |
| 2015× | add-cbrt-cube |
| 1889× | sqr-pow |
| 1690× | distribute-lft-out-- |
| 1151× | pow1 |
| 1086× | div-inv |
| 1027× | prod-exp |
| 971× | associate-/r/ |
| 832× | div-exp |
| 777× | cbrt-unprod |
| 766× | cbrt-undiv |
| 701× | pow-exp |
| 636× | fma-neg |
| 556× | add-log-exp |
| 547× | flip-+ |
| 546× | flip3-+ |
| 479× | distribute-rgt-neg-in |
| 474× | distribute-lft-in distribute-rgt-in |
| 411× | associate-*r/ |
| 399× | expm1-log1p-u |
| 395× | log1p-expm1-u |
| 393× | insert-posit16 |
| 368× | distribute-lft-neg-in |
| 348× | pow-to-exp |
| 264× | flip-- |
| 263× | flip3-- |
| 240× | pow-prod-down |
| 220× | difference-of-sqr-1 |
| 182× | cbrt-div |
| 173× | exp-prod |
| 145× | cube-unmult |
| 142× | fma-def |
| 139× | pow-prod-up |
| 130× | 1-exp |
| 129× | rec-exp |
| 127× | distribute-rgt-out-- |
| 124× | neg-mul-1 |
| 94× | log-prod |
| 89× | fma-udef |
| 87× | log-pow |
| 85× | pow-sqr |
| 81× | pow-plus |
| 76× | sqrt-div |
| 73× | sub-neg |
| 72× | tan-quot |
| 70× | difference-cubes |
| 66× | sqrt-pow1 |
| 60× | pow1/2 |
| 52× | diff-log |
| 48× | pow2 |
| 37× | pow1/3 |
| 34× | +-commutative |
| 33× | sin-sum pow-pow |
| 32× | rem-sqrt-square |
| 30× | sum-log |
| 25× | cos-sum |
| 23× | div-sub |
| 19× | pow-flip sub-div |
| 18× | neg-sub0 pow3 |
| 16× | pow-unpow |
| 15× | rem-log-exp |
| 14× | un-div-inv |
| 11× | log1p-expm1 |
| 10× | associate-+r+ inv-pow associate-+l- |
| 8× | neg-log associate--r+ |
| 7× | associate--l+ log1p-udef exp-neg |
| 6× | exp-diff exp-sum rem-cbrt-cube |
| 5× | acos-asin |
| 4× | remove-double-div sin-mult expm1-def |
| 3× | unpow-prod-up log-rec sqrt-unprod rem-square-sqrt rem-exp-log distribute-rgt-out |
| 2× | expm1-log1p expm1-udef associate--l- unpow1/3 cos-diff associate--r- |
| 1× | remove-posit16 distribute-rgt1-in distribute-frac-neg tanh-undef tanh-def exp-to-pow asin-acos hypot-udef acos-neg sin-diff e-exp-1 |
Total 24.4b remaining (11.2%)
| 6.8b | 26.6% | Cubic critical, narrow range |
| 3.9b | 85.7% | Cubic critical |
| 3.4b | 0% | Cubic critical, medium range |
| 2.0b | 0% | 2-ancestry mixing, positive discriminant |
| 1.8b | 0% | Quadratic roots, wide range |