| 77× | intervals |
| 9.8m | 58075× | body | 10240 | exit |
| 1.3m | 42592× | body | 1280 | valid |
| 27.7s | 29599× | body | 640 | valid |
| 17.9s | 196892× | body | 80 | valid |
| 14.3s | 152373× | body | 80 | nan |
| 11.7s | 26905× | body | 320 | valid |
| 9.3s | 197820× | pre | 80 | true |
| 8.4s | 35525× | body | 160 | valid |
| 1.6s | 3021× | body | 2560 | valid |
| 829.0ms | 8049× | body | 160 | nan |
| 476.0ms | 4025× | pre | 10240 | exit |
| 287.0ms | 261× | body | 5120 | valid |
| 1.0ms | 1× | body | 640 | nan |
| 1.0ms | 1× | body | 320 | nan |
| 143× | rewrite-expression-head |
454 calls:
| 4.3s | (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))) (* (sqrt (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))))) (sqrt (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 1.3s | (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 926.0ms | (* (- (- (/ (* 1.0 m) v) (/ m (/ v m))) 1.0) m) |
| 413.0ms | (* (+ (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)) (- (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))) |
| 375.0ms | (- (- (/ (* 1.0 m) v) (/ m (/ v m))) 1.0) |
| 381749× | associate-*l/ |
| 274470× | frac-times |
| 202362× | cbrt-div |
| 195883× | flip-- |
| 195882× | flip3-- |
| 151918× | sqrt-div |
| 77054× | associate-*r/ |
| 58536× | frac-add |
| 6781× | add-exp-log |
| 6086× | add-cbrt-cube |
| 3653× | add-sqr-sqrt |
| 3543× | *-un-lft-identity |
| 3392× | times-frac |
| 2734× | prod-exp |
| 2673× | div-exp |
| 2537× | add-cube-cbrt |
| 2388× | cbrt-unprod |
| 2371× | cbrt-undiv |
| 1390× | pow1 |
| 700× | add-log-exp |
| 692× | sqrt-prod |
| 511× | associate-/r* |
| 469× | associate-*r* |
| 465× | associate-*l* |
| 408× | associate-/l* |
| 392× | difference-of-squares |
| 357× | cbrt-prod |
| 352× | log-prod |
| 334× | pow-prod-down |
| 321× | div-inv |
| 279× | distribute-lft-out-- |
| 267× | pow-exp |
| 248× | distribute-lft-out |
| 187× | pow-to-exp |
| 185× | pow-prod-up |
| 154× | swap-sqr |
| 135× | unswap-sqr |
| 127× | associate-/r/ |
| 118× | frac-2neg clear-num |
| 115× | flip-+ |
| 114× | flip3-+ |
| 101× | cos-mult *-commutative |
| 97× | sub-neg |
| 87× | diff-log |
| 71× | pow-sqr |
| 70× | associate-/l/ |
| 58× | pow1/3 log-pow |
| 56× | pow-plus unpow-prod-down |
| 48× | sqrt-pow1 pow1/2 |
| 46× | sum-log |
| 43× | log-div |
| 40× | div-sub exp-prod |
| 39× | pow2 |
| 38× | distribute-rgt-in distribute-lft-in rem-log-exp |
| 32× | frac-sub cube-unmult |
| 29× | rem-sqrt-square |
| 27× | distribute-rgt-out |
| 26× | +-commutative tan-quot |
| 22× | associate--l+ |
| 19× | pow3 |
| 18× | pow-flip cos-diff |
| 16× | 1-exp rec-exp |
| 15× | sin-mult cos-sum sin-diff |
| 13× | sum-cubes |
| 11× | sin-cos-mult distribute-rgt-neg-in |
| 10× | associate-+r+ exp-sum sqr-pow acos-asin |
| 9× | distribute-lft-neg-in |
| 7× | associate--l- |
| 6× | distribute-lft-neg-out pow-unpow |
| 5× | distribute-lft1-in exp-diff sin-sum associate-+r- associate--r+ rem-cbrt-cube |
| 4× | associate-+l+ distribute-rgt-neg-out inv-pow |
| 3× | unsub-neg distribute-frac-neg sqrt-unprod distribute-neg-frac neg-mul-1 rem-exp-log acos-neg |
| 2× | neg-log pow-pow asin-acos rem-square-sqrt sqr-cos |
| 1× | neg-sub0 distribute-rgt-out-- tanh-undef tanh-def exp-to-pow associate--r- count-2 distribute-rgt1-in |
454 calls:
| 666.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 620.0ms | (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 615.0ms | (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))) |
| 597.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2.0)) (cos (/ (+ phi1 phi2) 2.0))) (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 534.0ms | (* (+ (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)) (- (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))) |
Total 56.5b remaining (31.6%)
Threshold costs 5.8b (3.2%)
| 7.7b | 44.4% | Quadratic roots, narrow range |
| 7.6b | 44.7% | Cubic critical, narrow range |
| 6.4b | 8.2% | Quadratic roots, medium range |
| 6.4b | 8.6% | Cubic critical, medium range |
| 6.2b | 46.7% | Quotient of products |