| 78× | intervals |
| 4.5m | 35599× | body | 10240 | exit |
| 34.8s | 44039× | body | 1280 | valid |
| 11.4s | 30745× | body | 640 | valid |
| 7.0s | 203888× | body | 80 | valid |
| 4.6s | 151988× | body | 80 | nan |
| 4.5s | 27643× | body | 320 | valid |
| 3.0s | 35725× | body | 160 | valid |
| 2.9s | 172590× | pre | 80 | true |
| 752.0ms | 3008× | body | 2560 | valid |
| 385.0ms | 8042× | body | 160 | nan |
| 378.0ms | 4035× | pre | 10240 | exit |
| 97.0ms | 8322× | pre | 80 | false |
| 62.0ms | 226× | body | 5120 | valid |
| 1.0ms | 1× | body | 640 | nan |
522 calls:
| 724.0ms | (- (pow (cos delta) 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) |
| 722.0ms | (- (pow (cos delta) 3) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (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 (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) |
| 691.0ms | (/ (* (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))) |
| 687.0ms | (/ (* (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))) |
| 685.0ms | (/ (* (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))) |
| 225× | egg-herbie |
| 147× | rewrite-expression-head |
522 calls:
| 751.0ms | (log (exp (- (* (/ 1 (* (fabs (cbrt (+ 1.0 (exp (* -2.0 x))))) (* (cbrt (sqrt (+ 1.0 (exp (* -2.0 x))))) (cbrt (sqrt (+ 1.0 (exp (* -2.0 x)))))))) (/ (/ 2.0 (sqrt (cbrt (+ 1.0 (exp (* -2.0 x)))))) (cbrt (sqrt (+ 1.0 (exp (* -2.0 x))))))) 1.0))) |
| 517.0ms | (* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) m) |
| 455.0ms | (- (- (+ (/ 1.0 (pow x 2)) (/ 3.0 x))) (* (/ 1 (pow x 3)) 3.0)) |
| 291.0ms | (- (/ x (+ x 1.0)) (cbrt (pow (/ (+ x 1.0) (- x 1.0)) 3))) |
| 215.0ms | (* (sqrt (* (* 3.0 a) c)) (/ (sqrt (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c)))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) |
| 8074× | times-frac |
| 7276× | *-un-lft-identity |
| 6882× | add-sqr-sqrt |
| 4578× | add-cube-cbrt |
| 3359× | add-exp-log |
| 1847× | add-cbrt-cube |
| 1439× | sqrt-prod |
| 1281× | associate-*r* |
| 1214× | prod-exp |
| 1211× | pow1 |
| 1020× | div-exp |
| 921× | associate-/l* |
| 907× | cbrt-prod |
| 879× | associate-*l/ |
| 869× | flip-- |
| 868× | flip3-- |
| 859× | difference-of-squares |
| 855× | add-log-exp |
| 721× | distribute-lft-out-- |
| 704× | unpow-prod-down |
| 619× | distribute-lft-out |
| 616× | associate-/r* |
| 565× | associate-*l* |
| 563× | pow-exp |
| 522× | sqrt-div |
| 486× | frac-times |
| 460× | cbrt-unprod |
| 424× | associate-/r/ |
| 418× | frac-add |
| 414× | pow-to-exp |
| 402× | cbrt-undiv |
| 392× | cube-prod |
| 371× | div-inv |
| 361× | distribute-rgt-neg-in |
| 337× | associate-*r/ |
| 269× | pow-prod-down |
| 261× | flip-+ unswap-sqr |
| 260× | flip3-+ |
| 250× | sqr-pow |
| 176× | distribute-lft-neg-in |
| 164× | log-prod |
| 127× | clear-num frac-2neg |
| 125× | associate-/l/ |
| 119× | sub-neg |
| 115× | *-commutative |
| 103× | diff-log |
| 95× | unpow3 |
| 89× | cube-mult |
| 79× | cbrt-div |
| 77× | sum-log |
| 69× | pow-unpow |
| 63× | div-sub |
| 62× | log-pow |
| 56× | exp-prod neg-mul-1 |
| 53× | distribute-rgt-in distribute-lft-in |
| 52× | pow-prod-up |
| 48× | +-commutative |
| 46× | 1-exp |
| 45× | unpow2 log-div |
| 42× | rec-exp sqrt-pow1 |
| 38× | pow-sqr |
| 36× | pow1/2 rem-sqrt-square |
| 35× | pow1/3 |
| 34× | pow-pow |
| 33× | distribute-rgt-out neg-sub0 |
| 29× | pow-plus swap-sqr frac-sub associate-+l- |
| 26× | rem-cube-cbrt rem-log-exp |
| 23× | associate--r+ |
| 22× | associate--l+ pow2 |
| 21× | neg-log |
| 20× | tan-quot |
| 19× | associate-+r+ |
| 18× | cos-diff sin-diff |
| 17× | associate--l- |
| 16× | sin-mult |
| 15× | cube-div cos-sum |
| 14× | cos-mult |
| 13× | exp-sum |
| 11× | associate--r- |
| 10× | sin-cos-mult pow-flip acos-asin distribute-rgt-neg-out |
| 9× | inv-pow sin-sum |
| 8× | sin-neg rem-exp-log distribute-frac-neg |
| 7× | associate-+l+ un-div-inv asin-acos |
| 5× | exp-diff distribute-lft1-in associate-+r- distribute-neg-frac |
| 3× | acos-neg difference-cubes unsub-neg |
| 2× | pow3 sub-div rem-cbrt-cube |
| 1× | distribute-rgt1-in sum-cubes distribute-neg-in distribute-rgt-out-- tanh-undef exp-to-pow tanh-def |
Total 22.8b remaining (19.2%)
Threshold costs 6.7b (5.7%)
| 5.3b | 52.7% | Quotient of products |
| 4.8b | 82% | Quadratic roots, full range |
| 3.5b | 75.4% | Equirectangular approximation to distance on a great circle |
| 1.4b | 93.3% | Cubic critical |
| 1.1b | 0% | 2-ancestry mixing, zero discriminant |