| 78× | intervals |
| 1.8m | 21658× | body | 10240 | exit |
| 1.3m | 43465× | body | 1280 | valid |
| 28.5s | 30756× | body | 640 | valid |
| 19.1s | 203008× | body | 80 | valid |
| 16.6s | 152160× | body | 80 | nan |
| 12.5s | 27661× | body | 320 | valid |
| 9.3s | 35881× | body | 160 | valid |
| 6.7s | 157937× | pre | 80 | true |
| 1.4s | 2976× | body | 2560 | valid |
| 625.0ms | 7682× | body | 160 | nan |
| 488.0ms | 4146× | pre | 10240 | exit |
| 169.0ms | 8382× | pre | 80 | false |
| 158.0ms | 229× | body | 5120 | valid |
484 calls:
| 1.3s | (log (exp (/ (- (* (cos delta) (cos delta)) (* (pow (sin phi1) 2) (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (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))))) |
| 670.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 631.0ms | (/ (* (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))) |
| 609.0ms | (* (sqrt (log (+ 1.0 (exp x)))) (sqrt (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))))) |
| 571.0ms | (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 144× | rewrite-expression-head |
484 calls:
| 1.2s | (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 543.0ms | (* (- (/ m (/ (* v (- (* 1.0 1.0) (* m m))) (* (- (* 1.0 1.0) (* m m)) (- 1.0 m)))) 1.0) (- 1.0 m)) |
| 490.0ms | (* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m)) |
| 369.0ms | (- (cbrt (pow (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 3)) 1.0) |
| 330.0ms | (* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m) |
| 33251× | associate-*l/ |
| 22144× | frac-times |
| 17964× | flip-- |
| 17963× | flip3-- |
| 16816× | cbrt-div |
| 6779× | sqrt-div |
| 6732× | associate-*r/ |
| 6676× | frac-add |
| 4725× | *-un-lft-identity |
| 4542× | add-sqr-sqrt |
| 4095× | times-frac |
| 2831× | add-cube-cbrt |
| 2621× | add-exp-log |
| 1731× | add-cbrt-cube |
| 1236× | pow1 |
| 1052× | associate-*r* |
| 874× | prod-exp |
| 838× | sqrt-prod |
| 737× | associate-*l* |
| 736× | div-exp |
| 724× | add-log-exp |
| 634× | difference-of-squares |
| 548× | unpow-prod-down |
| 513× | distribute-lft-out-- |
| 488× | associate-/l* |
| 460× | associate-/r* |
| 453× | cbrt-unprod |
| 433× | cbrt-prod |
| 426× | distribute-lft-out |
| 395× | cube-prod |
| 364× | cbrt-undiv |
| 341× | associate-/r/ |
| 315× | pow-exp |
| 282× | div-inv |
| 278× | pow-prod-down |
| 270× | log-prod |
| 230× | unswap-sqr |
| 222× | pow-to-exp |
| 198× | log-pow |
| 180× | flip-+ |
| 179× | flip3-+ |
| 166× | sqr-pow |
| 142× | distribute-rgt-neg-in |
| 138× | exp-prod |
| 131× | swap-sqr |
| 124× | *-commutative |
| 108× | clear-num frac-2neg |
| 99× | sub-neg |
| 88× | sqrt-pow1 |
| 82× | pow1/2 |
| 76× | associate-/l/ |
| 70× | pow1/3 |
| 69× | diff-log |
| 58× | sum-log |
| 52× | unpow3 cube-mult |
| 49× | pow-prod-up |
| 48× | distribute-rgt-in distribute-rgt-out distribute-lft-in |
| 46× | pow-unpow |
| 43× | pow-sqr |
| 42× | log-div |
| 39× | +-commutative |
| 38× | rem-sqrt-square div-sub |
| 36× | pow-pow |
| 33× | tan-quot |
| 31× | rec-exp associate--l+ 1-exp |
| 29× | frac-sub rem-log-exp |
| 26× | unpow2 |
| 25× | pow-plus |
| 23× | associate-+r+ |
| 21× | cube-div sin-mult pow2 |
| 20× | exp-sum |
| 19× | cos-sum |
| 18× | sin-diff |
| 17× | cos-diff |
| 16× | un-div-inv |
| 15× | rem-cube-cbrt distribute-lft-neg-in neg-sub0 |
| 13× | associate-+l- |
| 12× | exp-diff |
| 11× | sin-cos-mult acos-asin |
| 10× | cos-mult |
| 9× | associate-+l+ neg-log associate--r+ |
| 8× | rem-exp-log distribute-lft1-in distribute-lft-neg-out |
| 7× | difference-cubes sin-neg associate-+r- |
| 6× | distribute-neg-in associate--r- |
| 5× | sin-sum associate--l- sqrt-unprod distribute-rgt-neg-out |
| 4× | inv-pow distribute-rgt1-in pow-flip asin-acos neg-mul-1 |
| 3× | acos-neg distribute-rgt-out-- rem-square-sqrt distribute-frac-neg sub-div rem-cbrt-cube |
| 2× | unpow1/3 count-2 distribute-neg-frac |
| 1× | sqr-sin sqr-neg tanh-undef cube-neg sqrt-undiv tanh-def |
Total 34.2b remaining (24.1%)
Threshold costs 6.6b (4.6%)
| 6.4b | 9% | Quadratic roots, medium range |
| 5.1b | 53.4% | Quotient of products |
| 3.6b | 0% | Quadratic roots, wide range |
| 3.5b | 74% | Equirectangular approximation to distance on a great circle |
| 3.5b | 87.9% | Quadratic roots, full range |