14341 calls:
| 2.8s | (/ (* (* (* -2 (* a c)) (* -2 (* a c))) (* -2 (* a c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b))) |
| 2.8s | (/ (* (* (* -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))) |
| 2.6s | (/ (* (* (* (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)))) |
| 2.5s | (/ (* (* (* -2 -2) -2) (* (* (* a c) (* a c)) (* a c))) (* (* (* (* 2 a) (* 2 a)) (* 2 a)) (* (* b b) b))) |
| 72× | intervals |
| 9.1m | 80066× | body | 10240 | exit |
| 56.4s | 32794× | body | 1280 | valid |
| 25.9s | 197982× | body | 80 | valid |
| 23.7s | 24700× | body | 640 | valid |
| 22.3s | 151599× | body | 80 | nan |
| 13.5s | 25236× | body | 320 | valid |
| 12.1s | 34696× | body | 160 | valid |
| 9.8s | 152839× | pre | 80 | true |
| 3.1s | 3048× | body | 2560 | valid |
| 1.3s | 8030× | body | 160 | nan |
| 899.0ms | 4197× | pre | 10240 | exit |
| 232.0ms | 192× | body | 5120 | valid |
421 calls:
| 838.0ms | (/ (/ (- (pow (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) 3) (pow (* 1 1) 3)) (+ (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1)))) (+ (* (* 1 1) (* 1 1)) (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* 1 1))))) (+ (/ 2 (+ (exp (* -2 x)) 1)) 1)) |
| 755.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (/ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 588.0ms | (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)))) |
| 566.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 542.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (/ (* (+ lambda1 lambda2) (- lambda1 lambda2)) (/ (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 133× | rewrite-expression-head |
421 calls:
| 1.6s | (/ (/ (- (pow (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) 3) (pow (* 1 1) 3)) (+ (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1)))) (+ (* (* 1 1) (* 1 1)) (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* 1 1))))) (+ (/ 2 (+ (exp (* -2 x)) 1)) 1)) |
| 1.0s | (log (+ (* (exp (+ (+ x x) x)) (exp (+ (+ x x) x))) (- (* 1 1) (* (exp (+ (+ x x) x)) 1)))) |
| 558.0ms | (* (* (* (/ (* a 3) c) (/ b a)) (* (/ (* a 3) c) (/ b a))) (* (/ (* a 3) c) (/ b a))) |
| 466.0ms | (cbrt (/ -27/8 (* (* (* (/ (* a 3) c) (/ b a)) (* (/ (* a 3) c) (/ b a))) (* (/ (* a 3) c) (/ b a))))) |
| 406.0ms | (log (exp (- (pow (/ x (+ x 1)) 3) (pow (/ (+ x 1) (- x 1)) 3)))) |
| 6814× | add-exp-log |
| 6514× | *-un-lft-identity |
| 5437× | times-frac |
| 5413× | add-cbrt-cube |
| 5229× | add-sqr-sqrt |
| 3319× | prod-exp |
| 2898× | add-cube-cbrt |
| 2566× | cbrt-unprod |
| 2231× | div-exp |
| 1558× | cbrt-undiv |
| 1251× | pow1 |
| 1174× | difference-of-squares |
| 932× | frac-times |
| 837× | distribute-lft-out |
| 792× | associate-*l/ |
| 784× | distribute-lft-out-- |
| 751× | unpow-prod-down |
| 715× | associate-*l* |
| 713× | pow-exp |
| 681× | cube-prod |
| 647× | associate-*r* |
| 645× | add-log-exp |
| 591× | associate-*r/ |
| 521× | flip-- |
| 520× | flip3-- |
| 491× | associate-/r/ |
| 489× | cbrt-prod |
| 459× | associate-/l* |
| 447× | frac-add |
| 421× | insert-posit16 |
| 403× | associate-/r* |
| 357× | pow-to-exp |
| 356× | flip-+ |
| 355× | sqrt-prod flip3-+ |
| 315× | sqrt-div |
| 305× | div-inv |
| 287× | pow-prod-down |
| 268× | log-prod |
| 239× | log-pow |
| 237× | sqr-pow |
| 193× | exp-prod |
| 168× | unswap-sqr |
| 152× | 1-exp |
| 150× | rec-exp |
| 132× | swap-sqr |
| 113× | *-commutative |
| 112× | pow-prod-up sub-neg |
| 101× | difference-of-sqr-1 |
| 96× | frac-2neg clear-num |
| 81× | diff-log |
| 78× | associate-/l/ |
| 71× | log-div |
| 60× | pow-plus |
| 59× | pow-sqr |
| 48× | sqrt-pow1 pow1/2 |
| 44× | distribute-rgt-in distribute-lft-in |
| 43× | sum-log |
| 41× | associate-+l+ associate--l+ |
| 35× | pow2 |
| 34× | associate--r+ rem-sqrt-square |
| 30× | +-commutative rem-log-exp |
| 29× | distribute-rgt-neg-in |
| 28× | pow1/3 |
| 27× | div-sub |
| 24× | cbrt-div |
| 23× | difference-cubes |
| 21× | pow-unpow |
| 19× | exp-sum tan-quot |
| 17× | distribute-rgt-out-- cube-div |
| 16× | frac-sub pow-pow |
| 15× | associate--r- |
| 13× | rem-cube-cbrt pow-flip |
| 12× | associate-+r+ inv-pow |
| 11× | associate--l- tanh-def |
| 9× | sin-mult acos-asin |
| 8× | associate-+l- cos-diff distribute-rgt-out |
| 7× | distribute-lft-neg-out cos-mult cos-sum sum-cubes |
| 6× | exp-diff sin-sum rem-exp-log |
| 5× | associate-+r- pow3 unpow3 un-div-inv cube-mult |
| 4× | distribute-frac-neg |
| 3× | asin-acos acos-neg distribute-lft-neg-in distribute-rgt1-in |
| 2× | log-rec sqrt-unprod sin-PI/3 |
| 1× | unsub-neg sin-cos-mult sub0-neg neg-mul-1 tanh-undef sqr-sin exp-to-pow rem-square-sqrt sqr-cos sin-diff |
Total 58.8b remaining (33.7%)
| 8.0b | 41.8% | Quadratic roots, narrow range |
| 7.6b | 44.5% | Cubic critical, narrow range |
| 7.0b | 33.6% | Quotient of products |
| 6.9b | 0% | Cubic critical, medium range |
| 6.0b | 15.3% | Quadratic roots, medium range |