| 76× | intervals |
| 19.1m | 137451× | body | 10240 | exit |
| 1.1m | 36295× | body | 1280 | valid |
| 28.1s | 199099× | body | 80 | valid |
| 27.2s | 26295× | body | 640 | valid |
| 21.8s | 153200× | body | 80 | nan |
| 15.4s | 26175× | body | 320 | valid |
| 11.9s | 35057× | body | 160 | valid |
| 9.6s | 163492× | pre | 80 | true |
| 2.8s | 3127× | body | 2560 | valid |
| 1.6s | 7902× | body | 160 | nan |
| 1.1s | 4144× | pre | 10240 | exit |
| 253.0ms | 228× | body | 5120 | valid |
419 calls:
| 597.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 578.0ms | (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 575.0ms | (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)))) |
| 555.0ms | (/ (* (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))) |
| 530.0ms | (* (* e (cos v)) (* e (cos v))) |
| 130× | rewrite-expression-head |
419 calls:
| 544.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 421.0ms | (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)))) |
| 371.0ms | (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 355.0ms | (- (- (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n) (* c_p (log (+ 1 (exp (- s)))))) (- (* c_n (log (- 1 (/ 1 (+ 1 (exp (- t))))))) (* (log (+ 1 (exp (- t)))) c_p))) |
| 316.0ms | (- (log (exp (/ 2 (+ (exp (* -2 x)) 1)))) 1) |
| 30422× | associate-*l/ |
| 20759× | frac-times |
| 16570× | flip-- |
| 16569× | flip3-- |
| 15613× | cbrt-div |
| 6219× | associate-*r/ |
| 6143× | sqrt-div |
| 6030× | frac-add |
| 4593× | *-un-lft-identity |
| 4414× | add-sqr-sqrt |
| 3998× | times-frac |
| 2928× | add-exp-log |
| 2677× | add-cube-cbrt |
| 1776× | sqrt-prod |
| 1634× | add-cbrt-cube |
| 1160× | pow1 prod-exp |
| 968× | div-exp |
| 727× | difference-of-squares |
| 696× | pow-exp |
| 671× | add-log-exp |
| 602× | associate-*r* |
| 561× | associate-*l* |
| 457× | cbrt-unprod associate-/r* |
| 449× | associate-/l* |
| 419× | insert-posit16 |
| 404× | distribute-lft-out |
| 377× | distribute-lft-out-- |
| 348× | pow-to-exp |
| 335× | cbrt-undiv |
| 311× | pow-prod-down |
| 259× | swap-sqr |
| 248× | div-inv |
| 193× | log-prod |
| 174× | flip-+ |
| 173× | flip3-+ unswap-sqr |
| 157× | associate-/r/ |
| 151× | cbrt-prod |
| 135× | 1-exp rec-exp |
| 109× | *-commutative |
| 108× | frac-2neg clear-num |
| 96× | sub-neg |
| 90× | log-pow |
| 87× | diff-log |
| 81× | exp-prod |
| 74× | associate-/l/ |
| 69× | difference-of-sqr-1 |
| 68× | associate--l+ |
| 64× | pow-prod-up |
| 60× | unpow-prod-down |
| 59× | distribute-rgt-in distribute-lft-in |
| 58× | sqrt-pow1 pow1/2 |
| 56× | associate--r+ |
| 52× | log-div |
| 45× | sum-log |
| 43× | pow-sqr |
| 40× | pow1/3 |
| 36× | +-commutative |
| 35× | pow-plus |
| 33× | rem-sqrt-square |
| 31× | frac-sub |
| 30× | div-sub |
| 26× | rem-log-exp |
| 23× | tan-quot |
| 21× | pow2 |
| 13× | pow-flip acos-asin |
| 12× | difference-of-sqr--1 inv-pow cos-diff |
| 10× | sqr-pow cos-sum associate-+l- |
| 9× | sqrt-undiv distribute-rgt-out |
| 8× | cube-prod associate--l- |
| 7× | sin-mult |
| 6× | pow-unpow exp-sum distribute-frac-neg pow-pow rem-exp-log acos-neg |
| 5× | exp-diff sqrt-unprod associate--r- |
| 4× | associate-+r+ exp-to-pow |
| 3× | distribute-rgt-neg-in |
| 2× | neg-sub0 sin-sum cube-unmult sum-cubes rem-square-sqrt cube-mult distribute-rgt1-in |
| 1× | remove-posit16 cos-mult distribute-lft1-in sin-cos-mult pow3 neg-log tanh-undef tanh-def asin-acos sin-diff |
Total 65.6b remaining (35.2%)
Threshold costs 3.3b (1.8%)
| 11.0b | -0.7% | Quotient of products |
| 8.1b | 38.8% | Equirectangular approximation to distance on a great circle |
| 7.1b | 47.9% | Quadratic roots, narrow range |
| 7.1b | 48.1% | Cubic critical, narrow range |
| 6.0b | 12.2% | Cubic critical, medium range |