| 77× | intervals |
| 9.8m | 57417× | body | 10240 | exit |
| 1.3m | 42592× | body | 1280 | valid |
| 27.0s | 29598× | body | 640 | valid |
| 17.4s | 196831× | body | 80 | valid |
| 14.4s | 152373× | body | 80 | nan |
| 12.5s | 26905× | body | 320 | valid |
| 9.4s | 197099× | pre | 80 | true |
| 7.6s | 35524× | body | 160 | valid |
| 1.5s | 3021× | body | 2560 | valid |
| 1.2s | 8049× | body | 160 | nan |
| 448.0ms | 4025× | pre | 10240 | exit |
| 302.0ms | 261× | body | 5120 | valid |
| 2.0ms | 1× | body | 640 | nan |
| 1.0ms | 1× | body | 320 | nan |
| 143× | rewrite-expression-head |
448 calls:
| 4.4s | (sqrt (+ (* (* (* (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)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 850.0ms | (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)))) |
| 548.0ms | (* (/ (/ (/ 1 b1) (cbrt b2)) (cbrt (cbrt b2))) (/ a2 (cbrt b2))) |
| 429.0ms | (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) |
| 412.0ms | (* (/ (sqrt e) (/ (sqrt (+ 1.0 (* e (cos v)))) 1)) (/ (sqrt e) (/ (sqrt (+ 1.0 (* e (cos v)))) (sin v)))) |
| 387012× | associate-*l/ |
| 274491× | frac-times |
| 202362× | cbrt-div |
| 195896× | flip-- |
| 195895× | flip3-- |
| 151912× | sqrt-div |
| 71848× | associate-*r/ |
| 58561× | frac-add |
| 8913× | times-frac |
| 6737× | add-sqr-sqrt |
| 5827× | *-un-lft-identity |
| 4884× | add-cube-cbrt |
| 2806× | add-exp-log |
| 2617× | cbrt-prod |
| 1892× | associate-*l* |
| 1802× | add-cbrt-cube |
| 1131× | pow1 |
| 1021× | sqrt-prod |
| 927× | div-exp |
| 912× | prod-exp |
| 706× | add-log-exp |
| 705× | associate-*r* |
| 500× | associate-/r* |
| 495× | cbrt-undiv |
| 492× | cbrt-unprod |
| 433× | associate-/l* div-inv |
| 358× | difference-of-squares |
| 354× | log-prod |
| 315× | unswap-sqr |
| 269× | distribute-lft-out-- |
| 267× | pow-exp |
| 258× | pow-prod-down |
| 188× | distribute-lft-out |
| 187× | pow-to-exp |
| 139× | associate-/r/ |
| 129× | flip-+ |
| 128× | flip3-+ |
| 124× | swap-sqr |
| 109× | frac-2neg clear-num |
| 105× | *-commutative |
| 101× | cos-mult |
| 93× | sub-neg |
| 83× | diff-log |
| 80× | associate-/l/ |
| 73× | pow-prod-up |
| 59× | pow1/3 |
| 57× | log-pow |
| 56× | sum-log unpow-prod-down |
| 47× | pow-sqr |
| 45× | 1-exp |
| 44× | log-div |
| 43× | pow-plus exp-prod |
| 39× | sqrt-pow1 pow1/2 div-sub rem-log-exp |
| 32× | distribute-rgt-in distribute-lft-in |
| 29× | frac-sub rec-exp +-commutative |
| 28× | pow2 rem-sqrt-square |
| 26× | tan-quot |
| 20× | distribute-rgt-neg-in |
| 18× | cos-diff distribute-lft-neg-in distribute-rgt-out |
| 15× | cos-sum sin-diff |
| 14× | sin-mult |
| 11× | sin-cos-mult |
| 10× | associate-+r+ associate--l+ pow3 sqr-pow acos-asin |
| 8× | exp-sum |
| 7× | associate-+l+ associate--r+ |
| 6× | exp-diff pow-unpow neg-mul-1 |
| 5× | associate--l- sin-sum associate-+r- cube-unmult rem-cbrt-cube |
| 4× | distribute-frac-neg rem-exp-log |
| 3× | distribute-lft1-in distribute-rgt-neg-out acos-neg |
| 2× | pow-flip neg-sub0 distribute-lft-neg-out sqrt-unprod pow-pow inv-pow un-div-inv exp-to-pow asin-acos associate-+l- sqr-cos |
| 1× | quot-tan sub-div tanh-def difference-cubes sum-cubes tanh-undef rem-square-sqrt associate--r- |
448 calls:
| 691.0ms | (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)))) |
| 659.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2.0)) (cos (/ (+ phi1 phi2) 2.0))) (cos (/ (+ phi1 phi2) 2.0))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 611.0ms | (/ (* (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))) |
| 590.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 580.0ms | (* (+ (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 (32.4%)
Threshold costs 5.8b (3.3%)
| 7.7b | 44.4% | Quadratic roots, narrow range |
| 7.7b | 44.5% | Cubic critical, narrow range |
| 6.3b | 8.3% | Quadratic roots, medium range |
| 6.3b | 8.7% | Cubic critical, medium range |
| 5.3b | 45.4% | Quotient of products |