| 78× | intervals |
| 2.7m | 18282× | body | 10240 | exit |
| 38.8s | 44037× | body | 1280 | valid |
| 14.1s | 30370× | body | 640 | valid |
| 12.2s | 204772× | body | 80 | valid |
| 8.8s | 152067× | body | 80 | nan |
| 6.8s | 27662× | body | 320 | valid |
| 5.2s | 36029× | body | 160 | valid |
| 5.1s | 195433× | pre | 80 | true |
| 3.7s | 33635× | body | 80 | overflowed |
| 1.3s | 3004× | body | 2560 | valid |
| 676.0ms | 7951× | body | 160 | nan |
| 408.0ms | 16481× | pre | 80 | false |
| 103.0ms | 210× | body | 5120 | valid |
488 calls:
| 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 E (log (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2.0))) (* (- phi1 phi2) (- phi1 phi2)))))) |
| 624.0ms | (/ (* (+ 1 (* c_p (+ (log 0.5) (* 0.5 s)))) (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))) |
| 593.0ms | (/ (- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3)) (+ (* (/ (+ x 1.0) (- x 1.0)) (+ (/ (+ x 1.0) (- x 1.0)) (/ x (+ x 1.0)))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0))))) |
| 571.0ms | (/ (* (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))) |
| 144× | rewrite-expression-head |
488 calls:
| 815.0ms | (* (+ (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3)) (- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3))) |
| 653.0ms | (* (+ (cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))) (sqrt 1.0)) (- (cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))) (sqrt 1.0))) |
| 565.0ms | (/ (- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3)) (+ (* (/ (+ x 1.0) (- x 1.0)) (+ (/ (+ x 1.0) (- x 1.0)) (/ x (+ x 1.0)))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0))))) |
| 397.0ms | (- (pow (pow (sqrt (/ x0 (- 1.0 x1))) 3) 3) (pow (pow (sqrt x0) 3) 3)) |
| 325.0ms | (+ (pow (pow (sqrt (/ x0 (- 1.0 x1))) 3) 3) (pow (pow (sqrt x0) 3) 3)) |
| 7020× | *-un-lft-identity |
| 6786× | times-frac |
| 6649× | add-sqr-sqrt |
| 3703× | add-exp-log |
| 3652× | add-cube-cbrt |
| 2077× | add-cbrt-cube |
| 1657× | frac-times |
| 1449× | unpow-prod-down |
| 1417× | sqrt-prod |
| 1346× | associate-*l/ |
| 1341× | prod-exp |
| 1276× | difference-of-squares |
| 1262× | div-exp |
| 1227× | cube-prod |
| 1052× | pow1 |
| 1024× | distribute-lft-out-- |
| 991× | flip-- |
| 990× | flip3-- |
| 960× | associate-*r* |
| 857× | associate-*r/ |
| 830× | associate-/l* |
| 829× | cbrt-prod |
| 802× | add-log-exp |
| 615× | distribute-lft-out |
| 598× | cbrt-unprod |
| 592× | flip-+ |
| 591× | flip3-+ |
| 547× | cbrt-undiv |
| 510× | associate-/r* |
| 481× | associate-*l* |
| 477× | sqrt-div |
| 432× | frac-add |
| 370× | log-prod |
| 365× | pow-exp div-inv |
| 347× | frac-sub |
| 309× | sqr-pow |
| 295× | associate-/r/ |
| 266× | pow-to-exp |
| 243× | pow-prod-down |
| 240× | distribute-rgt-neg-in |
| 234× | cbrt-div |
| 179× | unswap-sqr |
| 155× | log-div |
| 140× | 1-exp |
| 132× | sub-neg |
| 124× | sin-cos-mult |
| 120× | associate-/l/ |
| 116× | *-commutative |
| 115× | frac-2neg clear-num |
| 108× | sin-mult |
| 107× | cos-mult |
| 99× | diff-log |
| 97× | exp-prod |
| 81× | rec-exp |
| 78× | log-pow |
| 72× | distribute-rgt-in distribute-lft-in |
| 68× | exp-diff |
| 66× | pow-sub |
| 63× | sum-log |
| 55× | div-sub |
| 51× | unpow3 cube-mult sub-div |
| 42× | pow1/3 +-commutative |
| 39× | pow1/2 pow-unpow sqrt-pow1 |
| 32× | neg-sub0 |
| 30× | rem-sqrt-square swap-sqr |
| 29× | unpow2 distribute-rgt-out rem-log-exp |
| 27× | distribute-lft-neg-in |
| 26× | tan-quot |
| 25× | associate-+l- |
| 23× | cos-diff pow-flip |
| 21× | pow-prod-up pow-sqr neg-log pow-pow |
| 19× | acos-asin |
| 18× | sin-diff |
| 17× | sin-sum |
| 15× | cos-sum |
| 14× | associate--l- |
| 13× | associate--r+ |
| 12× | pow-plus |
| 11× | cube-div rem-cube-cbrt inv-pow |
| 10× | associate-+l+ pow2 associate-+r+ distribute-rgt-neg-out |
| 9× | exp-sum neg-mul-1 |
| 8× | difference-cubes sin-neg distribute-frac-neg associate--r- |
| 7× | rem-exp-log |
| 6× | unpow-prod-up distribute-neg-frac |
| 5× | distribute-lft1-in log-rec associate--l+ |
| 4× | exp-neg associate-+r- sum-cubes |
| 3× | acos-neg distribute-lft-neg-out |
| 2× | sqrt-pow2 un-div-inv cos-acos cos-PI/2 distribute-rgt-out-- exp-to-pow rem-cbrt-cube |
| 1× | e-exp-1 unsub-neg sqrt-unprod tanh-undef asin-acos tanh-def |
| 222× | egg-herbie |
Total 28.9b remaining (25.1%)
Threshold costs 7.0b (6.1%)
| 13.7b | 25.5% | Equirectangular approximation to distance on a great circle |
| 3.0b | 63.9% | Quotient of products |
| 1.6b | 94.7% | Logistic function from Lakshay Garg |
| 1.2b | 0% | 2-ancestry mixing, positive discriminant |
| 1.2b | 95.1% | Cubic critical |