| 78× | intervals |
| 5.2m | 38931× | body | 10240 | exit |
| 34.6s | 43788× | body | 1280 | valid |
| 11.6s | 30551× | body | 640 | valid |
| 7.2s | 204235× | body | 80 | valid |
| 4.9s | 153743× | body | 80 | nan |
| 4.7s | 28034× | body | 320 | valid |
| 3.2s | 177150× | pre | 80 | true |
| 3.1s | 35783× | body | 160 | valid |
| 761.0ms | 3059× | body | 2560 | valid |
| 398.0ms | 4105× | pre | 10240 | exit |
| 377.0ms | 7992× | body | 160 | nan |
| 121.0ms | 228× | body | 5120 | valid |
| 94.0ms | 7991× | pre | 80 | false |
| 2.0ms | 3× | body | 640 | nan |
513 calls:
| 753.0ms | (- (pow (cos delta) 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) |
| 699.0ms | (/ (* (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))) |
| 619.0ms | (exp (log (sqrt (+ (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (* (log (exp (cos (/ (+ phi1 phi2) 2.0)))) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2)))))) |
| 579.0ms | (/ (* (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))) |
| 477.0ms | (* (+ (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) (* (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))) (- (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) (* (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)))) |
| 146× | rewrite-expression-head |
513 calls:
| 670.0ms | (* (+ (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) (* (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))) (- (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) (* (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)))) |
| 665.0ms | (* (+ (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) (* (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))) (- (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) (* (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)))) |
| 664.0ms | (- (- (/ (- 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3))) |
| 540.0ms | (* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) m) |
| 354.0ms | (log (exp (- (pow (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) 3) (pow (sqrt 1.0) 3)))) |
| 8866× | times-frac |
| 8021× | *-un-lft-identity |
| 7703× | add-sqr-sqrt |
| 4377× | add-cube-cbrt |
| 3019× | add-exp-log |
| 1844× | add-cbrt-cube |
| 1495× | difference-of-squares |
| 1193× | distribute-lft-out-- |
| 1151× | associate-*r* |
| 1136× | pow1 |
| 970× | prod-exp |
| 960× | div-exp |
| 943× | unpow-prod-down |
| 934× | associate-/l* |
| 897× | flip-- |
| 896× | flip3-- |
| 848× | add-log-exp |
| 809× | sqrt-prod |
| 715× | associate-*l* |
| 699× | cube-prod |
| 686× | distribute-rgt-neg-in |
| 681× | associate-*l/ |
| 658× | associate-/r* |
| 591× | distribute-lft-out |
| 577× | frac-times |
| 491× | sqrt-div |
| 458× | cbrt-undiv |
| 444× | cbrt-unprod |
| 423× | frac-add |
| 385× | pow-exp |
| 384× | log-prod |
| 355× | sqr-pow |
| 337× | associate-/r/ |
| 336× | div-inv |
| 324× | cbrt-prod |
| 323× | associate-*r/ |
| 306× | distribute-lft-neg-in |
| 286× | pow-to-exp |
| 245× | pow-prod-down |
| 210× | neg-mul-1 |
| 209× | flip-+ |
| 208× | flip3-+ |
| 204× | log-pow |
| 201× | exp-prod |
| 196× | unswap-sqr |
| 131× | sub-neg |
| 119× | clear-num frac-2neg |
| 116× | log-div |
| 112× | associate-+l+ *-commutative |
| 107× | diff-log |
| 103× | associate-/l/ |
| 99× | cos-mult |
| 74× | cbrt-div exp-diff |
| 73× | sum-log |
| 71× | div-sub |
| 69× | pow-unpow |
| 67× | unpow3 cube-mult |
| 58× | unpow2 |
| 57× | frac-sub |
| 53× | distribute-rgt-in distribute-lft-in |
| 51× | pow-pow |
| 50× | pow1/3 |
| 45× | 1-exp |
| 44× | +-commutative |
| 43× | neg-sub0 |
| 42× | rec-exp |
| 41× | swap-sqr |
| 38× | exp-sum |
| 35× | pow1/2 sqrt-pow1 |
| 32× | associate-+l- |
| 31× | rem-sqrt-square |
| 30× | cube-div |
| 29× | pow-prod-up pow-sqr rem-log-exp |
| 28× | tan-quot |
| 26× | sin-mult |
| 24× | neg-log |
| 22× | associate--l+ |
| 21× | rem-cube-cbrt difference-cubes associate--l- |
| 18× | pow-plus sin-diff |
| 17× | cos-diff distribute-rgt-out |
| 16× | associate-+r+ |
| 14× | pow2 |
| 12× | rem-exp-log cos-sum associate--r+ |
| 11× | distribute-frac-neg |
| 10× | sin-cos-mult |
| 8× | associate--r- associate-+r- |
| 7× | distribute-lft-neg-out |
| 6× | pow-flip acos-asin |
| 5× | sin-sum inv-pow unsub-neg asin-acos |
| 4× | sub-div tanh-def rem-cbrt-cube |
| 3× | acos-neg sqrt-pow2 |
| 2× | distribute-lft1-in |
| 1× | un-div-inv exp-neg tanh-undef sqr-cos distribute-rgt-neg-out exp-to-pow |
| 224× | egg-herbie |
Total 29.5b remaining (24.7%)
Threshold costs 6.9b (5.8%)
| 8.6b | 39% | Equirectangular approximation to distance on a great circle |
| 4.2b | 46.7% | Quotient of products |
| 4.0b | 86.1% | Cubic critical |
| 3.5b | 87.8% | Quadratic roots, full range |
| 1.3b | 59% | 2-ancestry mixing, positive discriminant |