10248 calls:
| 2.3s | (/ (* (* (* -2 -2) -2) (* (* (* (* a c) (* a c)) (* a c)) (/ (* (* 1 1) 1) (* (* b b) b)))) (* (* (* 2 2) 2) (* (* a a) a))) |
| 2.3s | (/ (* (* (* -2 -2) -2) (* (* (* (* a a) a) (* (* c c) c)) (/ (* (* 1 1) 1) (* (* b b) b)))) (* (* (* 2 2) 2) (* (* a a) a))) |
| 2.2s | (/ (* (* (* -2 -2) -2) (* (* (* (* a a) a) (* (* c c) c)) (* (* (/ 1 b) (/ 1 b)) (/ 1 b)))) (* (* (* 2 a) (* 2 a)) (* 2 a))) |
| 2.2s | (/ (* (* (* -2 -2) -2) (* (* (* (* a c) (* a c)) (* a c)) (* (* (/ 1 b) (/ 1 b)) (/ 1 b)))) (* (* (* 2 a) (* 2 a)) (* 2 a))) |
| 2.2s | (/ (* (* (* -2 -2) -2) (* (* (* (* a c) (* a c)) (* a c)) (* (* (/ 1 b) (/ 1 b)) (/ 1 b)))) (* (* (* 2 2) 2) (* (* a a) a))) |
| 71× | intervals |
| 7.4m | 76577× | body | 10240 | exit |
| 53.3s | 32440× | body | 1280 | valid |
| 27.1s | 198322× | body | 80 | valid |
| 21.9s | 24518× | body | 640 | valid |
| 21.4s | 153270× | body | 80 | nan |
| 14.5s | 25154× | body | 320 | valid |
| 12.1s | 34879× | body | 160 | valid |
| 9.9s | 150289× | pre | 80 | true |
| 2.6s | 3025× | body | 2560 | valid |
| 2.0s | 7886× | body | 160 | nan |
| 931.0ms | 4102× | pre | 10240 | exit |
| 368.0ms | 231× | body | 5120 | valid |
409 calls:
| 611.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (cbrt (- lambda1 lambda2)) (cbrt (- lambda1 lambda2))) (* (cbrt (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 599.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (log (exp (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 570.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (log (exp (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 558.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 447.0ms | (- (- b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 127× | rewrite-expression-head |
409 calls:
| 576.0ms | (+ x (+ (+ (/ -1/8 (* (* x x) x)) x) (/ 1/2 x))) |
| 425.0ms | (log (+ x (+ (+ (/ -1/8 (* (* x x) x)) x) (/ 1/2 x)))) |
| 409.0ms | (- (exp x) (exp (- x))) |
| 391.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (cbrt (- lambda1 lambda2)) (cbrt (- lambda1 lambda2))) (* (cbrt (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 320.0ms | (+ (+ (* (* (* x x) -1/6) x) x) (* (pow x 5) 3/40)) |
| 3423× | *-un-lft-identity |
| 3354× | add-sqr-sqrt |
| 2425× | times-frac |
| 2016× | add-exp-log |
| 1961× | add-cube-cbrt |
| 1939× | associate-*l/ |
| 1888× | flip-- |
| 1887× | flip3-- |
| 1879× | frac-times |
| 1655× | add-cbrt-cube |
| 1519× | cbrt-div |
| 1236× | pow1 |
| 922× | sqrt-div |
| 887× | frac-add |
| 836× | associate-*r/ |
| 655× | associate-*l* |
| 646× | prod-exp |
| 635× | add-log-exp |
| 613× | cbrt-prod |
| 595× | associate-*r* |
| 551× | difference-of-squares |
| 485× | cbrt-unprod |
| 461× | div-exp |
| 409× | insert-posit16 |
| 390× | sqrt-prod |
| 369× | associate-/r* |
| 356× | cbrt-undiv |
| 324× | distribute-lft-out |
| 304× | associate-/l* |
| 275× | distribute-lft-out-- |
| 262× | pow-prod-down |
| 211× | swap-sqr |
| 201× | div-inv |
| 194× | flip-+ |
| 193× | flip3-+ |
| 167× | unswap-sqr |
| 166× | log-prod |
| 142× | difference-of-sqr-1 |
| 140× | associate-/r/ |
| 133× | pow-prod-up |
| 124× | log-pow |
| 104× | *-commutative |
| 102× | sub-neg |
| 97× | frac-2neg clear-num |
| 92× | sqrt-pow1 |
| 85× | pow-sqr |
| 80× | exp-prod |
| 76× | diff-log |
| 75× | associate-/l/ |
| 72× | pow1/2 |
| 68× | pow1/3 |
| 67× | pow-plus |
| 60× | tan-quot |
| 57× | 1-exp rec-exp |
| 55× | unpow-prod-down |
| 48× | pow2 |
| 41× | sum-log log-div |
| 37× | sqr-pow |
| 34× | rem-sqrt-square |
| 29× | associate-+r+ |
| 28× | distribute-rgt-in +-commutative distribute-lft-in |
| 24× | distribute-rgt-neg-in |
| 23× | rem-log-exp |
| 20× | sin-mult |
| 18× | frac-sub div-sub |
| 17× | pow-flip |
| 16× | inv-pow |
| 12× | exp-sum |
| 11× | cos-sum cos-diff |
| 10× | neg-mul-1 distribute-lft-neg-in |
| 9× | exp-diff associate--l+ associate-+l- acos-asin |
| 8× | un-div-inv |
| 6× | associate-+l+ neg-sub0 pow-exp pow3 pow-to-exp |
| 5× | sqrt-unprod |
| 4× | associate--l- distribute-frac-neg neg-log rem-square-sqrt rem-cbrt-cube |
| 3× | log-rec rem-exp-log acos-neg distribute-rgt-out |
| 2× | sin-sum associate-+r- distribute-rgt-neg-out sin-PI/3 distribute-rgt-out-- |
| 1× | remove-posit16 cos-mult sin-cos-mult tanh-undef tanh-def asin-acos unsub-neg sin-diff distribute-rgt1-in |
Total 56.8b remaining (31.9%)
| 8.6b | 38.4% | Cubic critical, narrow range |
| 7.6b | 45.2% | Quadratic roots, narrow range |
| 6.7b | 3.6% | Cubic critical, medium range |
| 6.4b | 6.2% | Quadratic roots, medium range |
| 5.2b | 53% | Quotient of products |