| 78× | intervals |
| 9.7m | 61677× | body | 10240 | exit |
| 34.4s | 43574× | body | 1280 | valid |
| 11.8s | 31381× | body | 640 | valid |
| 7.2s | 205134× | body | 80 | valid |
| 4.7s | 153420× | body | 80 | nan |
| 4.6s | 27679× | body | 320 | valid |
| 3.5s | 201527× | pre | 80 | true |
| 3.1s | 36062× | body | 160 | valid |
| 746.0ms | 3100× | body | 2560 | valid |
| 392.0ms | 4138× | pre | 10240 | exit |
| 362.0ms | 7746× | body | 160 | nan |
| 94.0ms | 8399× | pre | 80 | false |
| 78.0ms | 208× | body | 5120 | valid |
479 calls:
| 1.9s | (/ (- (pow (cos delta) 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (+ (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cos delta))) (* (cos delta) (cos delta)))) |
| 1.7s | (/ (- (* (cos delta) (pow (cos delta) 2)) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (+ (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cos delta))) (* (cos delta) (cos delta)))) |
| 711.0ms | (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))) |
| 704.0ms | (cbrt (/ (- (pow (/ x (+ x 1.0)) 3) (pow (/ 1 (/ (- x 1.0) (+ x 1.0))) 3)) (+ (* (/ 1 (/ (- x 1.0) (+ x 1.0))) (+ (/ 1 (/ (- x 1.0) (+ x 1.0))) (/ x (+ x 1.0)))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0)))))) |
| 606.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (cos (* 0.5 (+ phi2 phi1))) (- lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 219× | egg-herbie |
| 141× | rewrite-expression-head |
479 calls:
| 568.0ms | (* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) m) |
| 430.0ms | (cbrt (/ (- (pow (/ x (+ x 1.0)) 3) (pow (/ 1 (/ (- x 1.0) (+ x 1.0))) 3)) (+ (* (/ 1 (/ (- x 1.0) (+ x 1.0))) (+ (/ 1 (/ (- x 1.0) (+ x 1.0))) (/ x (+ x 1.0)))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0)))))) |
| 351.0ms | (- (pow (/ x (+ x 1.0)) 3) (pow (/ 1 (/ (- x 1.0) (+ x 1.0))) 3)) |
| 263.0ms | (* (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a))) |
| 247.0ms | (* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m) |
| 9672× | times-frac |
| 7879× | add-sqr-sqrt |
| 7522× | *-un-lft-identity |
| 4490× | add-cube-cbrt |
| 2797× | add-exp-log |
| 1649× | add-cbrt-cube |
| 1422× | distribute-rgt-neg-in |
| 1349× | difference-of-squares |
| 1073× | distribute-lft-neg-in |
| 1038× | distribute-lft-out-- |
| 1021× | associate-*r* |
| 954× | flip-- |
| 953× | flip3-- |
| 926× | prod-exp |
| 915× | pow1 |
| 903× | div-exp |
| 851× | associate-/l* |
| 833× | unpow-prod-down |
| 804× | associate-*l/ |
| 794× | add-log-exp |
| 611× | cube-prod |
| 608× | associate-/r* |
| 562× | sqrt-prod |
| 544× | div-inv |
| 541× | frac-times |
| 534× | associate-*r/ |
| 516× | sqrt-div |
| 509× | frac-add |
| 470× | cbrt-prod |
| 389× | associate-*l* |
| 384× | distribute-lft-out |
| 372× | cbrt-undiv |
| 371× | pow-exp |
| 369× | cbrt-unprod |
| 318× | associate-/r/ |
| 280× | sqr-pow |
| 274× | pow-to-exp |
| 183× | unswap-sqr |
| 174× | pow-prod-down flip-+ |
| 173× | flip3-+ |
| 167× | neg-mul-1 |
| 165× | log-prod |
| 114× | clear-num frac-2neg |
| 110× | sub-neg |
| 104× | associate-/l/ |
| 102× | *-commutative |
| 93× | log-pow |
| 92× | diff-log |
| 82× | exp-prod |
| 81× | unpow3 cube-mult |
| 78× | 1-exp |
| 72× | sum-log |
| 65× | div-sub |
| 50× | rec-exp |
| 45× | +-commutative |
| 42× | cbrt-div |
| 41× | distribute-rgt-in distribute-lft-in log-div |
| 37× | pow1/2 sqrt-pow1 |
| 36× | pow-unpow neg-sub0 |
| 35× | rem-sqrt-square unpow2 pow1/3 |
| 34× | associate-+l- |
| 32× | pow-pow |
| 27× | frac-sub |
| 24× | tan-quot |
| 23× | sin-mult |
| 22× | swap-sqr rem-log-exp |
| 21× | sin-sum neg-log associate--r+ |
| 17× | cos-diff |
| 16× | sin-diff |
| 15× | cos-mult exp-sum |
| 14× | cos-sum |
| 13× | cube-div difference-cubes associate--l- acos-asin |
| 12× | rem-cube-cbrt distribute-frac-neg distribute-rgt-out |
| 11× | sin-cos-mult associate-+r+ |
| 10× | associate--l+ |
| 8× | exp-diff pow-prod-up pow-sqr pow-flip distribute-rgt-neg-out associate-+r- |
| 7× | acos-neg un-div-inv inv-pow pow-plus associate--r- pow2 |
| 6× | rem-exp-log asin-acos |
| 4× | cube-unmult associate-+l+ exp-to-pow |
| 3× | rem-cbrt-cube |
| 2× | distribute-lft1-in unsub-neg |
| 1× | sin-neg sum-cubes distribute-rgt-out-- exp-neg sub-div tanh-undef distribute-neg-frac tanh-def |
Total 26.6b remaining (20.8%)
Threshold costs 7.2b (5.6%)
| 5.8b | 48.8% | Quotient of products |
| 4.4b | 84.8% | Cubic critical |
| 4.4b | 85% | Quadratic roots, full range |
| 3.7b | 73.2% | Equirectangular approximation to distance on a great circle |
| 1.1b | 0% | 2-ancestry mixing, zero discriminant |