12017 calls:
| 2.8s | (/ (* (* (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (/ 1 (+ 1 (exp (- s)))) c_p)) (pow (/ 1 (+ 1 (exp (- s)))) c_p)) (* (* (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n))) (* (* (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))) |
| 2.7s | (/ (* (* (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n))) (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n))) (* (* (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))) |
| 2.7s | (/ (* (* (* -2 -2) -2) (* (* (* a c) (* a c)) (* a c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b))) |
| 2.7s | (/ (* (* (* -2 (* a c)) (* -2 (* a c))) (* -2 (* a c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b))) |
| 2.7s | (/ (* (* (* -2 -2) -2) (* (* (* a a) a) (* (* c c) c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b))) |
| 72× | intervals |
| 8.7m | 82064× | body | 10240 | exit |
| 58.0s | 33153× | body | 1280 | valid |
| 25.6s | 198514× | body | 80 | valid |
| 23.6s | 24490× | body | 640 | valid |
| 19.7s | 150895× | body | 80 | nan |
| 13.6s | 24944× | body | 320 | valid |
| 13.4s | 34925× | body | 160 | valid |
| 9.9s | 154039× | pre | 80 | true |
| 4.2s | 3128× | body | 2560 | valid |
| 1.5s | 7711× | body | 160 | nan |
| 938.0ms | 4173× | pre | 10240 | exit |
| 656.0ms | 227× | body | 5120 | valid |
415 calls:
| 584.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 550.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 546.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 542.0ms | (/ 1 (* (/ (+ 1 (* e (cos v))) (sin v)) (/ 1 e))) |
| 536.0ms | (/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))) |
| 127× | rewrite-expression-head |
415 calls:
| 590.0ms | (+ x (+ (+ (/ -1/8 (* (* x x) x)) x) (/ 1/2 x))) |
| 570.0ms | (sqrt (+ (exp (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 459.0ms | (log (+ x (+ (+ (/ -1/8 (* (* x x) x)) x) (/ 1/2 x)))) |
| 419.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 337.0ms | (+ (+ (* (* (* x x) -1/6) x) x) (* (pow x 5) 3/40)) |
| 4449× | *-un-lft-identity |
| 4228× | add-sqr-sqrt |
| 4187× | times-frac |
| 3570× | add-exp-log |
| 2769× | add-cube-cbrt |
| 2006× | add-cbrt-cube |
| 1488× | prod-exp |
| 1297× | pow1 |
| 1174× | div-exp |
| 881× | associate-*l/ |
| 789× | flip-- |
| 788× | flip3-- |
| 696× | pow-exp |
| 692× | frac-times |
| 664× | cbrt-unprod |
| 653× | add-log-exp |
| 623× | associate-*r* |
| 607× | difference-of-squares |
| 557× | associate-*l* |
| 526× | sqrt-div |
| 504× | associate-/r* |
| 477× | associate-*r/ |
| 452× | cbrt-undiv |
| 421× | cbrt-prod |
| 415× | insert-posit16 |
| 395× | frac-add |
| 360× | associate-/l* |
| 353× | distribute-lft-out |
| 351× | log-prod |
| 348× | pow-to-exp |
| 332× | distribute-lft-out-- |
| 329× | pow-prod-down |
| 316× | sqrt-prod |
| 276× | div-inv |
| 243× | swap-sqr |
| 240× | associate-/r/ |
| 177× | 1-exp rec-exp |
| 172× | unswap-sqr |
| 168× | flip-+ |
| 167× | flip3-+ |
| 166× | cbrt-div |
| 140× | exp-prod |
| 133× | log-div |
| 126× | pow-prod-up |
| 122× | log-pow |
| 106× | tanh-def |
| 104× | frac-2neg clear-num |
| 101× | *-commutative |
| 100× | sub-neg |
| 89× | pow-sqr |
| 88× | difference-of-sqr-1 |
| 87× | diff-log |
| 85× | frac-sub |
| 84× | exp-diff |
| 80× | unpow-prod-down |
| 75× | sqrt-pow1 pow1/2 associate-/l/ |
| 59× | pow-plus |
| 51× | pow1/3 |
| 49× | associate--r+ |
| 47× | rem-log-exp |
| 45× | sum-log |
| 43× | pow2 |
| 39× | distribute-rgt-in distribute-lft-in |
| 36× | div-sub |
| 35× | associate--l+ |
| 32× | pow-flip |
| 31× | rem-sqrt-square |
| 29× | +-commutative |
| 28× | cube-prod |
| 24× | distribute-rgt-neg-in tan-quot |
| 20× | distribute-rgt-out-- distribute-lft-neg-in |
| 15× | un-div-inv |
| 13× | inv-pow acos-asin |
| 12× | cos-mult |
| 11× | exp-sum |
| 10× | sqr-pow associate-+l- |
| 9× | cos-diff |
| 8× | associate--l- distribute-frac-neg neg-mul-1 sin-mult cos-sum associate--r- |
| 7× | exp-neg sum-cubes acos-neg |
| 6× | neg-sub0 sin-sum pow-unpow pow3 sqrt-unprod pow-pow rem-exp-log |
| 5× | associate-+r+ sub-div rem-square-sqrt |
| 4× | associate-+l+ cube-unmult |
| 3× | difference-cubes |
| 2× | log-rec |
| 1× | quot-tan remove-posit16 sub0-neg tanh-undef sin-PI/3 asin-acos rem-cbrt-cube sin-diff |
Total 53.9b remaining (33.2%)
| 7.7b | 44.1% | Quadratic roots, narrow range |
| 6.6b | 0% | Cubic critical, medium range |
| 6.6b | 26% | Cubic critical, narrow range |
| 6.4b | 6.5% | Quadratic roots, medium range |
| 4.5b | 84.2% | Cubic critical |