| 78× | intervals |
| 1.7m | 11206× | body | 10240 | exit |
| 39.4s | 43523× | body | 1280 | valid |
| 15.8s | 203931× | body | 80 | valid |
| 14.5s | 30398× | body | 640 | valid |
| 11.5s | 153118× | body | 80 | nan |
| 7.6s | 27475× | body | 320 | valid |
| 6.3s | 36066× | body | 160 | valid |
| 5.7s | 180253× | pre | 80 | true |
| 3.5s | 25757× | body | 80 | overflowed |
| 1.3s | 2989× | body | 2560 | valid |
| 805.0ms | 7980× | body | 160 | nan |
| 189.0ms | 8316× | pre | 80 | false |
| 133.0ms | 198× | body | 5120 | valid |
| 1.0ms | 1× | body | 640 | nan |
494 calls:
| 705.0ms | (cbrt (pow (/ (* (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))) 3)) |
| 696.0ms | (/ (* (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))) |
| 695.0ms | (/ (* (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))) |
| 580.0ms | (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))) |
| 531.0ms | (cbrt (+ (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* (pow (/ x (sqrt 1.0)) 3) 1/6))) |
| 222× | egg-herbie |
| 144× | rewrite-expression-head |
494 calls:
| 1.5s | (- (pow (cos delta) 2) (+ (* (pow (sin delta) 2) (* (pow (cos phi1) 2) (* (pow (cos theta) 2) (pow (sin phi1) 2)))) (+ (* 2 (* (sin delta) (* (cos phi1) (* (pow (sin phi1) 3) (* (cos delta) (cos theta)))))) (* (pow (sin phi1) 4) (pow (cos delta) 2))))) |
| 1.0s | (* (/ 1 (* (cbrt (+ (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* (pow (/ x (sqrt 1.0)) 3) 1/6))) (cbrt (+ (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* (pow (/ x (sqrt 1.0)) 3) 1/6))))) (/ (+ (* (- 1/36) (pow (/ x (sqrt 1.0)) 6)) (* (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (cbrt (+ (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* (pow (/ x (sqrt 1.0)) 3) 1/6))))) |
| 515.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (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)))) |
| 308.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 215.0ms | (/ (/ (/ 1 (/ 2.0 4.0)) (/ 1 c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) |
| 39285× | times-frac |
| 21920× | *-un-lft-identity |
| 21075× | add-sqr-sqrt |
| 14960× | add-cube-cbrt |
| 3527× | add-exp-log |
| 2857× | difference-of-squares |
| 2845× | distribute-lft-out-- |
| 2106× | add-cbrt-cube |
| 2100× | associate-/l* |
| 2050× | div-inv |
| 1676× | sqrt-prod |
| 1525× | pow1 |
| 1282× | distribute-rgt-neg-in |
| 1201× | prod-exp |
| 1184× | div-exp |
| 1080× | associate-*r* |
| 891× | flip-- |
| 890× | flip3-- |
| 860× | associate-*l/ |
| 766× | add-log-exp |
| 634× | associate-*l* |
| 616× | frac-times |
| 598× | distribute-lft-out |
| 592× | unpow-prod-down associate-/r/ |
| 557× | cbrt-unprod |
| 554× | associate-/r* |
| 516× | cbrt-undiv |
| 507× | pow-prod-down |
| 428× | pow-exp |
| 408× | sqrt-div |
| 383× | frac-add |
| 371× | associate-*r/ |
| 314× | pow-to-exp |
| 307× | cube-prod |
| 280× | cbrt-div |
| 275× | cbrt-prod |
| 232× | flip-+ |
| 231× | flip3-+ |
| 212× | unswap-sqr |
| 172× | log-prod |
| 166× | sqr-pow |
| 132× | associate-/l/ |
| 121× | clear-num frac-2neg |
| 112× | *-commutative |
| 99× | sqrt-pow1 |
| 97× | sub-neg |
| 94× | swap-sqr |
| 82× | 1-exp |
| 80× | log-pow |
| 79× | diff-log |
| 74× | rec-exp |
| 69× | sum-log |
| 68× | unpow3 cube-mult |
| 63× | cube-div |
| 60× | pow-prod-up |
| 58× | div-sub |
| 54× | pow-unpow pow-sqr |
| 51× | pow1/2 |
| 50× | exp-prod |
| 49× | frac-sub |
| 46× | pow1/3 |
| 44× | +-commutative |
| 39× | log-div |
| 37× | distribute-rgt-in distribute-lft-in |
| 33× | unpow2 |
| 32× | associate-+r+ |
| 31× | rem-sqrt-square |
| 30× | associate-+l+ |
| 28× | cos-mult |
| 27× | neg-sub0 associate-+l- |
| 25× | sin-mult |
| 23× | pow-pow |
| 21× | pow-plus |
| 20× | cos-diff |
| 19× | neg-log rem-log-exp |
| 18× | cos-sum sin-diff |
| 17× | associate--l- |
| 16× | pow-flip associate--l+ |
| 15× | sin-cos-mult |
| 13× | pow2 distribute-rgt-out |
| 12× | tan-quot |
| 11× | sin-sum exp-sum associate--r+ |
| 8× | rem-cube-cbrt |
| 7× | un-div-inv inv-pow associate-+r- acos-asin |
| 6× | distribute-frac-neg associate--r- rem-cbrt-cube |
| 5× | asin-acos |
| 4× | exp-diff rem-exp-log sub-div |
| 3× | acos-neg sub0-neg distribute-lft-neg-in |
| 2× | distribute-lft-neg-out distribute-lft1-in sqrt-unprod distribute-rgt-neg-out exp-to-pow |
| 1× | sqrt-undiv difference-cubes sin-neg rem-square-sqrt tanh-undef sqr-cos neg-mul-1 tanh-def |
Total 28.0b remaining (21.6%)
Threshold costs 5.8b (4.5%)
| 6.7b | 38.3% | Quotient of products |
| 4.5b | 83.6% | Cubic critical |
| 4.4b | 83.5% | Quadratic roots, full range |
| 3.5b | 73.7% | Equirectangular approximation to distance on a great circle |
| 1.1b | 65.4% | 2-ancestry mixing, positive discriminant |