| 78× | intervals |
| 4.2m | 32432× | body | 10240 | exit |
| 1.3m | 43940× | body | 1280 | valid |
| 28.1s | 30143× | body | 640 | valid |
| 18.0s | 203955× | body | 80 | valid |
| 13.9s | 151660× | body | 80 | nan |
| 12.7s | 27473× | body | 320 | valid |
| 9.8s | 36261× | body | 160 | valid |
| 8.7s | 169001× | pre | 80 | true |
| 2.1s | 3018× | body | 2560 | valid |
| 1.3s | 7989× | body | 160 | nan |
| 575.0ms | 4073× | pre | 10240 | exit |
| 548.0ms | 230× | body | 5120 | valid |
| 170.0ms | 8470× | pre | 80 | false |
512 calls:
| 927.0ms | (- (log (pow (pow (exp 1) (/ (sqrt 2.0) (pow (+ (exp (* -2.0 x)) 1.0) 2))) (/ (sqrt 2.0) (/ 1 2.0)))) (* 1.0 1.0)) |
| 795.0ms | (cbrt (+ (* (* (- lambda1 lambda2) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 793.0ms | (/ (* (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))) |
| 729.0ms | (/ (- (log (pow (exp 1) (/ 2.0 (/ (pow (+ (exp (* -2.0 x)) 1.0) 2) 2.0)))) (* 1.0 1.0)) (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)) |
| 700.0ms | (cbrt (+ (* (* (- lambda1 lambda2) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 147× | rewrite-expression-head |
512 calls:
| 22.5s | (- (- (+ (+ (* 1.0 (+ (/ x (pow (sqrt 1.0) 2)) x)) (+ (log (sqrt 1.0)) (log (* 1.0 (sqrt 1.0))))) (* 1.0 (pow x 2))) (* 0.125 (/ (pow x 2) (* (pow (sqrt 1.0) 4) (pow 1.0 2))))) (+ (+ (* (/ 0.5 1.0) (/ (pow x 2) (pow 1.0 2))) (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 4))))) |
| 4.9s | (- (+ (+ (* 1.0 (+ (/ x (pow (sqrt 1.0) 2)) x)) (+ (log (sqrt 1.0)) (log (* 1.0 (sqrt 1.0))))) (* 1.0 (pow x 2))) (* 0.125 (/ (pow x 2) (* (pow (sqrt 1.0) 4) (pow 1.0 2))))) |
| 812.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 768.0ms | (- (- (/ (- 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3))) |
| 539.0ms | (* (- (/ (* 1 (* (sqrt m) (* (sqrt m) (- 1.0 m)))) v) 1.0) m) |
| 8097× | times-frac |
| 6847× | *-un-lft-identity |
| 6707× | add-sqr-sqrt |
| 4656× | add-cube-cbrt |
| 2893× | add-exp-log |
| 1780× | add-cbrt-cube |
| 1409× | sqrt-prod |
| 1252× | associate-*r* |
| 1098× | pow1 |
| 972× | prod-exp |
| 935× | add-log-exp |
| 863× | flip-- |
| 862× | flip3-- |
| 861× | div-exp |
| 817× | difference-of-squares |
| 775× | associate-*l/ |
| 726× | associate-/l* |
| 697× | unpow-prod-down |
| 634× | distribute-lft-out-- |
| 584× | associate-*l* |
| 567× | associate-/r* |
| 551× | frac-times |
| 454× | sqrt-div |
| 442× | cbrt-unprod |
| 437× | distribute-lft-out |
| 405× | associate-*r/ |
| 402× | div-inv |
| 393× | cbrt-undiv |
| 380× | frac-add |
| 377× | pow-exp |
| 374× | cbrt-prod |
| 306× | cube-prod |
| 302× | distribute-rgt-neg-in |
| 279× | pow-to-exp |
| 250× | pow-prod-down |
| 247× | log-prod |
| 246× | sqr-pow |
| 236× | unswap-sqr |
| 226× | associate-/r/ |
| 220× | pow-unpow |
| 193× | flip-+ |
| 192× | cbrt-div flip3-+ |
| 130× | sum-log |
| 128× | diff-log |
| 124× | associate-/l/ |
| 122× | sub-neg |
| 117× | distribute-lft-neg-in clear-num frac-2neg |
| 114× | *-commutative |
| 83× | swap-sqr |
| 72× | sqrt-pow1 |
| 71× | unpow2 |
| 64× | frac-sub |
| 60× | associate-+r+ |
| 59× | div-sub |
| 58× | pow1/3 |
| 57× | 1-exp +-commutative |
| 55× | unpow3 log-pow cube-mult |
| 54× | log-div |
| 52× | pow1/2 exp-prod |
| 47× | distribute-rgt-in distribute-lft-in |
| 46× | associate--l+ |
| 45× | rec-exp |
| 39× | neg-mul-1 |
| 34× | neg-sub0 |
| 33× | distribute-rgt-out |
| 32× | associate-+l- |
| 28× | pow-prod-up rem-log-exp |
| 27× | rem-sqrt-square |
| 22× | pow-sqr neg-log |
| 21× | associate-+l+ pow-pow |
| 18× | associate--l- cos-diff sin-diff |
| 16× | tan-quot |
| 15× | cos-sum |
| 13× | sin-mult exp-sum |
| 11× | pow-plus |
| 10× | cube-div pow2 |
| 9× | rem-cube-cbrt sin-sum rem-cbrt-cube associate--r+ |
| 8× | difference-cubes rem-exp-log pow-flip acos-asin distribute-rgt-neg-out |
| 7× | sin-cos-mult un-div-inv inv-pow distribute-frac-neg |
| 6× | associate-+r- cos-mult |
| 5× | sin-neg distribute-lft1-in associate--r- |
| 4× | exp-diff distribute-lft-neg-out tanh-def |
| 3× | acos-neg sqrt-undiv sqrt-unprod |
| 2× | unsub-neg rem-square-sqrt asin-acos |
| 1× | tanh-undef exp-to-pow |
Total 28.3b remaining (23.6%)
Threshold costs 6.8b (5.7%)
| 9.0b | 33.8% | Equirectangular approximation to distance on a great circle |
| 4.5b | 55.8% | Quotient of products |
| 3.2b | 88.6% | Cubic critical |
| 3.2b | 88.8% | Quadratic roots, full range |
| 1.6b | -73.4% | (- (/ x0 (- 1 x1)) x0) |