| 78× | intervals |
| 7.6m | 47769× | body | 10240 | exit |
| 1.3m | 44067× | body | 1280 | valid |
| 29.2s | 30234× | body | 640 | valid |
| 19.6s | 203869× | body | 80 | valid |
| 13.8s | 153435× | body | 80 | nan |
| 13.3s | 27760× | body | 320 | valid |
| 9.6s | 36376× | body | 160 | valid |
| 8.5s | 186776× | pre | 80 | true |
| 2.7s | 3206× | body | 2560 | valid |
| 915.0ms | 7956× | body | 160 | nan |
| 777.0ms | 4074× | pre | 10240 | exit |
| 147.0ms | 216× | body | 5120 | valid |
| 1.0ms | 1× | body | 320 | nan |
458 calls:
| 1.2s | (cbrt (* (* (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (- (cos delta) (+ (* (* (cos delta) (sin phi1)) (sin phi1)) (* (* (sin phi1) (sin delta)) (* (cos theta) (cos phi1)))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) |
| 829.0ms | (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* 0.5 (* t c_p)) (+ (* c_p (log 0.5)) 1)) (* (pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n) (pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))) |
| 800.0ms | (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))))) |
| 754.0ms | (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* 0.5 (* t c_p)) (+ (* c_p (log 0.5)) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))) |
| 745.0ms | (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 142× | rewrite-expression-head |
458 calls:
| 1.9s | (* (* (/ (* (* (* -1.5 -1.5) -1.5) (/ (* a c) b)) (* (* 3.0 (* 3.0 3.0)) a)) (/ (/ (* a c) b) a)) (/ (/ (* a c) b) a)) |
| 1.8s | (cbrt (* (* (/ (* (* (* -1.5 -1.5) -1.5) (/ (* a c) b)) (* (* 3.0 (* 3.0 3.0)) a)) (/ (/ (* a c) b) a)) (/ (/ (* a c) b) a))) |
| 744.0ms | (/ (- (* (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (log (+ 1.0 (exp x)))) (* (* (* y x) (* y x)) (* y x))) (+ (* (* y x) (+ (log (+ 1.0 (exp x))) (* y x))) (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))))) |
| 633.0ms | (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))))) |
| 608.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 18537× | associate-*l/ |
| 14003× | flip-- |
| 14002× | flip3-- |
| 13723× | frac-times |
| 13680× | add-exp-log |
| 11046× | add-cbrt-cube |
| 9261× | cbrt-div |
| 9175× | frac-add |
| 6744× | prod-exp |
| 6355× | times-frac |
| 5557× | *-un-lft-identity |
| 5539× | cbrt-unprod |
| 5093× | add-sqr-sqrt |
| 5082× | div-exp |
| 4878× | sqrt-div |
| 4807× | associate-*r/ |
| 3862× | cbrt-undiv |
| 3697× | add-cube-cbrt |
| 1541× | pow1 |
| 1266× | cbrt-prod |
| 1157× | associate-*l* |
| 789× | sqrt-prod |
| 740× | associate-*r* |
| 703× | add-log-exp |
| 524× | distribute-lft-out-- |
| 518× | pow-exp |
| 414× | associate-/r* |
| 394× | associate-/l* |
| 390× | pow-to-exp |
| 380× | difference-of-squares |
| 360× | div-inv |
| 356× | distribute-lft-out |
| 310× | pow-prod-down |
| 299× | flip-+ |
| 298× | flip3-+ |
| 250× | swap-sqr |
| 223× | unswap-sqr |
| 222× | pow-prod-up |
| 220× | 1-exp |
| 169× | associate-/r/ |
| 155× | log-prod |
| 135× | unpow-prod-down |
| 130× | pow-sqr |
| 117× | *-commutative |
| 107× | frac-2neg clear-num |
| 104× | pow-plus |
| 100× | sub-neg |
| 95× | associate-/l/ |
| 84× | sqrt-pow1 diff-log |
| 80× | pow2 |
| 70× | pow1/2 |
| 69× | log-pow |
| 58× | exp-prod |
| 55× | pow1/3 |
| 49× | distribute-rgt-in distribute-lft-in |
| 44× | div-sub |
| 43× | sum-log |
| 34× | rem-sqrt-square log-div |
| 32× | frac-sub |
| 31× | rec-exp |
| 30× | +-commutative |
| 24× | pow-unpow |
| 21× | cos-diff tan-quot |
| 19× | associate--l+ |
| 18× | sqr-pow |
| 17× | sin-diff rem-log-exp |
| 16× | sin-mult |
| 14× | pow3 |
| 13× | distribute-rgt-out |
| 12× | cos-sum acos-asin |
| 11× | tanh-def |
| 10× | distribute-frac-neg associate--r+ pow-pow |
| 9× | associate--l- associate-+r- sin-cos-mult |
| 8× | associate-+r+ |
| 7× | exp-diff cos-mult cube-unmult distribute-rgt-neg-in |
| 6× | pow-flip exp-sum acos-neg |
| 5× | sin-sum sqrt-unprod difference-cubes inv-pow rem-exp-log |
| 4× | neg-sub0 un-div-inv rem-square-sqrt associate--r- |
| 3× | associate-+l+ distribute-rgt-neg-out neg-log distribute-neg-in exp-to-pow rem-cbrt-cube |
| 2× | distribute-lft1-in associate-+l- |
| 1× | tanh-undef sqrt-pow2 distribute-neg-frac asin-acos distribute-rgt1-in |
Total 58.7b remaining (28.9%)
Threshold costs 5.2b (2.6%)
| 7.5b | 45.1% | Quadratic roots, narrow range |
| 7.4b | 45% | Cubic critical, narrow range |
| 6.7b | 0% | Cubic critical, medium range |
| 6.0b | 10.7% | Quadratic roots, medium range |
| 4.7b | 16.6% | Quotient of products |