11976 calls:
| 3.1s | (/ (* (* (* -2 (* a c)) (* -2 (* a c))) (* -2 (* a c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b))) |
| 3.1s | (* (* (/ (* (* a a) a) (* (* (* a a) a) (* (* (/ b c) (/ b c)) (/ b c)))) (/ (* (* a a) a) (* (* (* a (/ b c)) (* a (/ b c))) (* a (/ b c))))) (/ (* (* a a) a) (* (* (* a a) a) (* (* (/ b c) (/ b c)) (/ b c))))) |
| 3.0s | (* (* (/ (* (* a a) a) (* (* (* a (/ b c)) (* a (/ b c))) (* a (/ b c)))) (/ (* (* a a) a) (* (* (* a a) a) (* (* (/ b c) (/ b c)) (/ b c))))) (/ (* (* a a) a) (* (* (* a (/ b c)) (* a (/ b c))) (* a (/ b c))))) |
| 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)))) |
| 2.6s | (/ (* (* (* -2 -2) -2) (* (* (* a a) a) (* (* c c) c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b))) |
| 72× | intervals |
| 9.0m | 81434× | body | 10240 | exit |
| 55.9s | 33076× | body | 1280 | valid |
| 26.1s | 197928× | body | 80 | valid |
| 22.2s | 24561× | body | 640 | valid |
| 21.7s | 151904× | body | 80 | nan |
| 14.4s | 25243× | body | 320 | valid |
| 12.8s | 34726× | body | 160 | valid |
| 10.8s | 152817× | pre | 80 | true |
| 3.7s | 3043× | body | 2560 | valid |
| 1.3s | 7801× | body | 160 | nan |
| 1.3s | 4225× | pre | 10240 | exit |
| 287.0ms | 252× | body | 5120 | valid |
413 calls:
| 859.0ms | (cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (/ (cbrt a) (cbrt 1/2)))) |
| 826.0ms | (/ (* (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))) |
| 645.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ (* lambda1 (log (exp (cos (/ (+ phi1 phi2) 2))))) (* (- lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 571.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 528.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 128× | rewrite-expression-head |
413 calls:
| 654.0ms | (* (- (/ (/ (* m (- (pow 1 3) (pow m 3))) (+ (+ (* m m) m) 1)) v) 1) (- 1 m)) |
| 633.0ms | (+ x (+ (+ (/ -1/8 (* (* x x) x)) x) (/ 1/2 x))) |
| 543.0ms | (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a)) |
| 421.0ms | (log (+ x (+ (+ (/ -1/8 (* (* x x) x)) x) (/ 1/2 x)))) |
| 347.0ms | (+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15)) |
| 4665× | add-sqr-sqrt |
| 4351× | times-frac *-un-lft-identity |
| 3626× | add-exp-log |
| 2821× | add-cube-cbrt |
| 2191× | add-cbrt-cube |
| 1492× | prod-exp |
| 1251× | frac-times |
| 1236× | div-exp |
| 1184× | cbrt-prod |
| 1175× | pow1 |
| 904× | associate-*l/ |
| 821× | difference-of-squares |
| 724× | associate-*r* |
| 710× | cbrt-unprod |
| 701× | pow-exp |
| 620× | add-log-exp |
| 584× | cbrt-undiv |
| 555× | associate-*r/ |
| 542× | flip-- |
| 541× | flip3-- |
| 536× | associate-*l* |
| 455× | flip-+ |
| 454× | flip3-+ |
| 450× | distribute-lft-out-- sqrt-prod |
| 429× | associate-/r* |
| 413× | insert-posit16 |
| 404× | frac-sub |
| 397× | cbrt-div |
| 352× | pow-to-exp |
| 346× | sqrt-div |
| 341× | associate-/l* |
| 320× | log-prod |
| 286× | div-inv |
| 266× | frac-add |
| 256× | tan-quot |
| 236× | pow-prod-down |
| 198× | distribute-lft-out |
| 161× | associate-/r/ |
| 160× | 1-exp rec-exp |
| 155× | unswap-sqr |
| 154× | un-div-inv |
| 150× | log-pow |
| 106× | *-commutative |
| 104× | pow-prod-up sub-neg |
| 96× | frac-2neg clear-num |
| 91× | difference-of-sqr-1 |
| 88× | unpow-prod-down |
| 84× | swap-sqr |
| 70× | exp-prod diff-log |
| 66× | pow-sqr |
| 63× | log-div |
| 62× | pow-plus |
| 60× | associate-/l/ |
| 57× | distribute-rgt-neg-in associate--l+ |
| 52× | sqrt-pow1 pow1/2 |
| 46× | pow1/3 |
| 44× | pow2 distribute-lft-in distribute-rgt-in |
| 41× | sum-log |
| 32× | rem-sqrt-square rem-log-exp |
| 30× | sqr-pow associate--r+ |
| 28× | pow-flip |
| 27× | +-commutative |
| 23× | div-sub |
| 19× | cube-prod |
| 18× | inv-pow distribute-rgt-out-- |
| 17× | associate--l- |
| 14× | sub-div |
| 12× | pow-pow |
| 10× | cos-sum acos-asin cos-diff |
| 9× | pow-unpow associate--r- |
| 7× | distribute-neg-frac |
| 5× | associate-+r+ associate-+l- |
| 4× | exp-sum distribute-frac-neg sin-mult exp-to-pow distribute-lft-neg-in distribute-rgt-out |
| 3× | exp-diff distribute-rgt-neg-out cube-div acos-neg |
| 2× | associate-+l+ rem-cube-cbrt sin-sum cube-mult pow3 sqrt-unprod neg-mul-1 sin-PI/3 asin-acos |
| 1× | remove-posit16 cos-mult distribute-lft1-in unsub-neg sin-cos-mult sub0-neg unpow3 log-rec tanh-undef tanh-def rem-square-sqrt difference-cubes sin-diff distribute-rgt1-in |
Total 57.2b remaining (32.8%)
| 7.6b | 45.8% | Quadratic roots, narrow range |
| 7.4b | 46.7% | Cubic critical, narrow range |
| 6.9b | 0% | Cubic critical, medium range |
| 6.4b | 7.2% | Quadratic roots, medium range |
| 5.4b | 50.9% | Quotient of products |