| 78× | intervals |
| 6.5m | 43146× | body | 10240 | exit |
| 1.3m | 43543× | body | 1280 | valid |
| 27.6s | 30155× | body | 640 | valid |
| 20.2s | 204782× | body | 80 | valid |
| 14.1s | 27534× | body | 320 | valid |
| 14.1s | 150444× | body | 80 | nan |
| 10.1s | 36307× | body | 160 | valid |
| 8.3s | 181334× | pre | 80 | true |
| 2.0s | 2960× | body | 2560 | valid |
| 1.4s | 7786× | body | 160 | nan |
| 789.0ms | 4158× | pre | 10240 | exit |
| 234.0ms | 8146× | pre | 80 | false |
| 222.0ms | 262× | body | 5120 | valid |
487 calls:
| 1.2s | (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 998.0ms | (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (sqrt (- (sqrt x) (sqrt (sqrt 1.0))))) |
| 772.0ms | (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* (log 0.5) c_p) (+ (* 0.5 (* t c_p)) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))) |
| 734.0ms | (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 659.0ms | (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)))) |
| 145× | rewrite-expression-head |
487 calls:
| 941.0ms | (* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) m) |
| 806.0ms | (* (* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) |
| 694.0ms | (* (/ 2.0 (+ (pow (exp x) 3) (exp (* x -3)))) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) |
| 681.0ms | (* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (+ (sqrt 1.0) (sqrt m))) |
| 642.0ms | (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)))) |
| 6408× | times-frac |
| 5928× | add-sqr-sqrt |
| 5605× | *-un-lft-identity |
| 3726× | add-cube-cbrt |
| 2551× | add-exp-log |
| 1652× | add-cbrt-cube |
| 1091× | pow1 |
| 982× | associate-*r* |
| 935× | flip-- |
| 934× | flip3-- |
| 918× | associate-*l/ |
| 890× | difference-of-squares |
| 826× | prod-exp |
| 806× | sqrt-prod |
| 744× | div-exp |
| 738× | add-log-exp |
| 625× | associate-/l* |
| 611× | distribute-lft-out-- |
| 572× | frac-times |
| 560× | associate-/r* |
| 552× | unpow-prod-down |
| 540× | associate-*l* |
| 424× | associate-*r/ |
| 418× | sqrt-div |
| 408× | frac-add |
| 383× | cbrt-unprod |
| 370× | pow-exp div-inv |
| 368× | associate-/r/ |
| 356× | cbrt-undiv |
| 313× | distribute-lft-out |
| 299× | cbrt-prod |
| 280× | cube-prod |
| 264× | pow-to-exp |
| 258× | pow-prod-down |
| 255× | exp-prod |
| 242× | sqr-pow |
| 237× | flip-+ |
| 236× | flip3-+ |
| 226× | log-pow |
| 192× | log-prod |
| 177× | unswap-sqr |
| 176× | cbrt-div |
| 116× | distribute-rgt-neg-in |
| 114× | *-commutative |
| 110× | clear-num frac-2neg |
| 109× | associate-/l/ |
| 108× | sub-neg |
| 75× | diff-log |
| 69× | frac-sub |
| 64× | sqrt-pow1 |
| 63× | pow-unpow |
| 61× | exp-neg |
| 54× | pow1/3 neg-sub0 |
| 53× | sum-log |
| 51× | pow1/2 exp-diff |
| 47× | swap-sqr |
| 44× | log-div |
| 41× | distribute-rgt-in distribute-lft-in div-sub |
| 38× | +-commutative |
| 37× | unpow3 cube-mult |
| 36× | unpow2 |
| 33× | rem-sqrt-square |
| 31× | pow-prod-up rem-log-exp |
| 30× | pow-pow |
| 25× | pow-sqr |
| 24× | un-div-inv tan-quot |
| 22× | rem-cube-cbrt |
| 21× | 1-exp rec-exp |
| 19× | exp-sum sin-diff |
| 18× | sub-div sin-mult |
| 16× | pow-plus |
| 15× | associate--l+ |
| 14× | distribute-rgt-out pow2 |
| 13× | sin-cos-mult |
| 12× | cube-div cos-diff |
| 10× | cos-sum neg-log associate-+l- |
| 9× | distribute-lft-neg-in acos-asin |
| 8× | associate--l- |
| 7× | associate-+l+ rem-exp-log sin-sum pow-flip cos-mult |
| 6× | associate-+r+ associate-+r- asin-acos |
| 5× | inv-pow distribute-frac-neg associate--r+ |
| 4× | acos-neg difference-cubes sqrt-unprod distribute-rgt-out-- |
| 3× | associate--r- neg-mul-1 rem-cbrt-cube |
| 2× | sub0-neg distribute-lft1-in distribute-rgt-neg-out distribute-neg-frac exp-to-pow |
| 1× | exp-lft-sqr rgt-mult-inverse tanh-undef tanh-def |
Total 33.0b remaining (24.3%)
Threshold costs 8.2b (6.1%)
| 6.1b | 13.9% | Quadratic roots, medium range |
| 5.0b | 54.9% | Quotient of products |
| 4.5b | 84.2% | Quadratic roots, full range |
| 3.7b | 72.4% | Equirectangular approximation to distance on a great circle |
| 3.5b | 4.1% | Cubic critical, wide range |