12689 calls:
| 3.0s | (/ (* (* (* -2 (* a c)) (* -2 (* a c))) (* -2 (* a c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b))) |
| 2.6s | (/ (* (* (* -2 -2) -2) (* (* (* a c) (* a c)) (* a c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b))) |
| 2.5s | (/ (* (* (* -2 -2) -2) (* (* (* a a) a) (* (* c c) c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b))) |
| 2.4s | (/ (* (* (* -2 -2) -2) (* (* (* a a) a) (* (* c c) c))) (* (* (* (* 2 a) (* 2 a)) (* 2 a)) (* (* b b) b))) |
| 2.3s | (/ (* (* (* -3/2 -3/2) -3/2) (* (* (* (* a a) a) (* (* c c) c)) (/ (* (* 1 1) 1) (* (* b b) b)))) (* (* (* 3 3) 3) (* (* a a) a))) |
| 70× | intervals |
| 8.0m | 75988× | body | 10240 | exit |
| 53.1s | 31638× | body | 1280 | valid |
| 24.3s | 189421× | body | 80 | valid |
| 21.4s | 151549× | body | 80 | nan |
| 21.2s | 23481× | body | 640 | valid |
| 14.7s | 24538× | body | 320 | valid |
| 11.9s | 34813× | body | 160 | valid |
| 10.3s | 150254× | pre | 80 | true |
| 2.5s | 2912× | body | 2560 | valid |
| 1.5s | 7846× | body | 160 | nan |
| 1.2s | 4169× | pre | 10240 | exit |
| 227.0ms | 221× | body | 5120 | valid |
399 calls:
| 774.0ms | (cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ (cbrt a) (cbrt 1/2)))) |
| 662.0ms | (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 617.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 595.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 591.0ms | (cbrt (+ (* x (* 2/3 x)) 2)) |
| 127× | rewrite-expression-head |
399 calls:
| 1.0s | (log (+ (* (exp (+ (+ x x) x)) (exp (+ (+ x x) x))) (- (* 1 1) (* (exp (+ (+ x x) x)) 1)))) |
| 740.0ms | (log (+ x (+ (+ (/ -1/8 (* (* x x) x)) x) (/ 1/2 x)))) |
| 521.0ms | (* (- (/ (* (* m (* (cbrt (- 1 m)) (cbrt (- 1 m)))) (cbrt (- 1 m))) v) 1) m) |
| 480.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 404.0ms | (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 30534× | associate-*l/ |
| 20811× | frac-times |
| 16608× | flip-- |
| 16607× | flip3-- |
| 15694× | cbrt-div |
| 7192× | times-frac |
| 6260× | associate-*r/ |
| 6254× | sqrt-div |
| 6112× | frac-add |
| 5682× | add-sqr-sqrt |
| 5452× | *-un-lft-identity |
| 4009× | add-cube-cbrt |
| 2170× | add-exp-log |
| 1738× | add-cbrt-cube |
| 1101× | sqrt-prod |
| 960× | pow1 |
| 931× | cbrt-prod |
| 680× | difference-of-squares |
| 665× | associate-*l* |
| 648× | associate-*r* |
| 637× | div-exp |
| 608× | add-log-exp |
| 595× | associate-/r* |
| 585× | prod-exp |
| 463× | cbrt-unprod |
| 438× | div-inv |
| 432× | cbrt-undiv |
| 430× | associate-/l* |
| 399× | insert-posit16 |
| 329× | distribute-lft-out-- |
| 301× | distribute-lft-out |
| 260× | associate-/r/ |
| 214× | pow-prod-down |
| 184× | unswap-sqr |
| 175× | flip-+ |
| 174× | flip3-+ |
| 142× | swap-sqr |
| 122× | log-prod |
| 108× | unpow-prod-down |
| 107× | frac-2neg clear-num |
| 101× | *-commutative |
| 93× | difference-of-sqr-1 |
| 86× | sub-neg |
| 74× | cube-prod |
| 73× | cos-mult 1-exp rec-exp |
| 70× | associate-/l/ |
| 65× | diff-log |
| 47× | log-div |
| 46× | sqrt-pow1 pow1/2 |
| 44× | sum-log |
| 43× | sqr-pow |
| 40× | pow-prod-up |
| 36× | log-pow |
| 33× | rem-sqrt-square |
| 32× | pow1/3 |
| 31× | distribute-rgt-neg-in exp-prod |
| 30× | pow-sqr |
| 27× | +-commutative |
| 26× | pow-plus |
| 23× | distribute-rgt-in distribute-lft-in |
| 22× | rem-log-exp |
| 21× | sin-mult div-sub |
| 19× | frac-sub pow2 |
| 16× | pow-flip tan-quot |
| 14× | inv-pow distribute-rgt-out-- associate--l+ |
| 12× | cos-sum acos-asin |
| 11× | cos-diff |
| 10× | pow-exp associate-+l- |
| 9× | associate--l- pow-to-exp distribute-lft-neg-in distribute-rgt-out |
| 8× | un-div-inv |
| 7× | exp-sum |
| 6× | associate-+l+ rem-exp-log |
| 5× | exp-diff associate--r- |
| 4× | neg-sub0 quot-tan distribute-lft1-in distribute-rgt-neg-out associate--r+ distribute-rgt1-in |
| 3× | associate-+r+ distribute-frac-neg pow-unpow acos-neg cube-mult |
| 2× | sin-sum associate-+r- rem-cube-cbrt pow3 neg-log sqrt-unprod neg-mul-1 sub-div difference-cubes sin-PI/3 asin-acos |
| 1× | unsub-neg cube-unmult exp-neg unpow3 tanh-def tanh-undef exp-to-pow cube-div pow-pow rem-square-sqrt rem-cbrt-cube sin-diff |
Total 51.6b remaining (36.1%)
| 7.3b | 47% | Cubic critical, narrow range |
| 7.1b | 48.1% | Quadratic roots, narrow range |
| 6.2b | 10.6% | Quadratic roots, medium range |
| 6.2b | 11.5% | Cubic critical, medium range |
| 4.9b | 82.4% | Quadratic roots, full range |