17233 calls:
| 4.8s | (/ (* (* (* 3 3) 3) (* (* (* c c) c) (* (* a a) a))) (* (* (* 3 a) (* 3 a)) (* 3 a))) |
| 4.2s | (/ (* (* (* 3 3) 3) (* (* (* c a) (* c a)) (* c a))) (* (* (* 3 a) (* 3 a)) (* 3 a))) |
| 4.2s | (/ (* (* (* 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))))))) |
| 2.9s | (- (+ (log 3) (log (* c a))) (+ (log 3) (log a))) |
| 2.7s | (/ (* (* (* 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))))))) |
| 70× | intervals |
| 8.2m | 75988× | body | 10240 | exit |
| 55.3s | 31522× | body | 1280 | valid |
| 25.4s | 191996× | body | 80 | valid |
| 23.7s | 24299× | body | 640 | valid |
| 20.7s | 148659× | body | 80 | nan |
| 14.1s | 25059× | body | 320 | valid |
| 13.4s | 35060× | body | 160 | valid |
| 9.3s | 150254× | pre | 80 | true |
| 1.6s | 1885× | body | 2560 | valid |
| 1.2s | 7846× | body | 160 | nan |
| 1.2s | 4169× | pre | 10240 | exit |
| 136.0ms | 114× | body | 5120 | valid |
405 calls:
| 916.0ms | (* (sqrt (hypot (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (- phi1 phi2))) R) |
| 704.0ms | (* (sqrt (hypot (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (- phi1 phi2))) (* (sqrt (hypot (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (- phi1 phi2))) R)) |
| 681.0ms | (* (hypot (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (- phi1 phi2)) R) |
| 652.0ms | (* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2)) R) |
| 628.0ms | (cbrt (/ (fma (sqrt (sqrt (fma -3 (* c a) (* b b)))) (sqrt (sqrt (fma -3 (* c a) (* b b)))) (- b)) (* 3 a))) |
Total 22.3b remaining (13.1%)
| 6.6b | 26.6% | Cubic critical, narrow range |
| 3.2b | 72.6% | Quotient of products |
| 2.5b | 29.6% | Cubic critical, wide range |
| 2.1b | 0% | Cubic critical, medium range |
| 1.3b | 94.3% | Cubic critical |
| 123× | rewrite-expression-head |
405 calls:
| 389.0ms | (* (* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt (sqrt m))) (sqrt (sqrt m))) |
| 214.0ms | (+ (+ (/ -3 (* (* x x) x)) (/ -3 x)) (/ -1 (* x x))) |
| 210.0ms | (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) |
| 201.0ms | (cbrt (* (* (* (/ 1 (fma x x -1)) -2) (* (/ 1 (fma x x -1)) -2)) (* (/ 1 (fma x x -1)) -2))) |
| 177.0ms | (- (/ (exp x) (+ (exp x) (exp (- x)))) (/ (exp (- x)) (+ (exp x) (exp (- x))))) |
| 18413× | times-frac |
| 13774× | *-un-lft-identity |
| 12908× | add-sqr-sqrt |
| 11236× | add-cube-cbrt |
| 6463× | prod-diff |
| 2904× | sqrt-prod |
| 1736× | add-exp-log |
| 1463× | add-cbrt-cube |
| 1057× | div-inv |
| 1021× | pow1 |
| 764× | distribute-lft-out |
| 686× | difference-of-squares |
| 581× | associate-/r/ |
| 562× | add-log-exp |
| 560× | associate-/r* |
| 481× | div-exp |
| 471× | associate-*r* |
| 462× | associate-*l* |
| 421× | associate-/l* |
| 410× | unpow-prod-down |
| 407× | expm1-log1p-u |
| 406× | cube-prod log1p-expm1-u |
| 405× | insert-posit16 prod-exp |
| 394× | distribute-rgt-in distribute-lft-in |
| 384× | distribute-lft-out-- |
| 371× | fma-neg |
| 360× | cbrt-unprod |
| 328× | cbrt-undiv |
| 268× | distribute-rgt-neg-in |
| 264× | cbrt-prod |
| 249× | flip-+ |
| 248× | flip3-+ |
| 234× | distribute-lft-neg-in |
| 215× | pow-prod-down |
| 184× | flip-- |
| 183× | flip3-- |
| 152× | difference-of-sqr-1 |
| 143× | associate-*r/ |
| 139× | unswap-sqr |
| 120× | swap-sqr |
| 117× | fma-def |
| 102× | sqrt-div |
| 99× | frac-2neg clear-num |
| 89× | *-commutative |
| 88× | log-prod |
| 78× | neg-mul-1 |
| 76× | associate-*l/ |
| 71× | sqrt-pow1 sub-neg |
| 70× | sqr-pow |
| 66× | fma-udef |
| 63× | pow1/2 |
| 62× | pow-prod-up |
| 58× | associate-/l/ |
| 57× | cube-mult |
| 56× | unpow3 |
| 55× | 1-exp rec-exp |
| 50× | diff-log |
| 49× | associate-+l+ |
| 47× | associate-+r+ cbrt-div |
| 46× | exp-prod |
| 43× | pow1/3 |
| 42× | pow-sqr |
| 41× | frac-times pow-plus |
| 39× | log-pow |
| 36× | rem-sqrt-square |
| 33× | sin-sum |
| 30× | sum-log |
| 24× | cos-sum |
| 23× | exp-sum pow2 +-commutative |
| 22× | frac-add |
| 21× | log-div |
| 20× | sin-mult |
| 17× | div-sub |
| 16× | pow-flip |
| 15× | rem-log-exp |
| 14× | neg-sub0 pow-pow inv-pow |
| 12× | tan-quot |
| 11× | distribute-rgt-out |
| 10× | neg-log pow-unpow |
| 7× | pow-exp pow3 associate--l- distribute-rgt-out-- quot-tan acos-asin |
| 6× | associate-+l- |
| 5× | rem-exp-log |
| 4× | unpow-prod-up distribute-lft-neg-out frac-sub associate--r+ rem-cbrt-cube associate--r- expm1-def log1p-udef |
| 3× | distribute-frac-neg cube-unmult associate--l+ log1p-expm1 sqrt-unprod pow-to-exp acos-neg rem-square-sqrt |
| 2× | expm1-log1p expm1-udef exp-diff rem-cube-cbrt distribute-rgt1-in sub-div difference-cubes cos-diff |
| 1× | cos-mult distribute-lft1-in unsub-neg cube-div tanh-def tanh-undef exp-neg asin-acos unpow1/3 sin-diff un-div-inv e-exp-1 |