| 78× | intervals |
| 5.8m | 41601× | body | 10240 | exit |
| 33.9s | 43992× | body | 1280 | valid |
| 11.0s | 30167× | body | 640 | valid |
| 6.8s | 204050× | body | 80 | valid |
| 4.5s | 27839× | body | 320 | valid |
| 4.5s | 153350× | body | 80 | nan |
| 3.0s | 36091× | body | 160 | valid |
| 2.9s | 181111× | pre | 80 | true |
| 743.0ms | 3052× | body | 2560 | valid |
| 362.0ms | 7814× | body | 160 | nan |
| 357.0ms | 4109× | pre | 10240 | exit |
| 89.0ms | 8389× | pre | 80 | false |
| 72.0ms | 209× | body | 5120 | valid |
467 calls:
| 1.5s | (/ (- (pow (cos delta) 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (fma (cos delta) (cos delta) (* (sin phi1) (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (fma (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (cos delta)))))) |
| 1.3s | (/ (* (- (pow (* (cos (* phi2 0.5)) (cos (* phi1 0.5))) 3) (pow (* (sin (* phi2 0.5)) (sin (* phi1 0.5))) 3)) (- lambda1 lambda2)) (+ (* (* (cos (* phi2 0.5)) (cos (* phi1 0.5))) (* (cos (* phi2 0.5)) (cos (* phi1 0.5)))) (+ (* (* (sin (* phi2 0.5)) (sin (* phi1 0.5))) (* (sin (* phi2 0.5)) (sin (* phi1 0.5)))) (* (* (cos (* phi2 0.5)) (cos (* phi1 0.5))) (* (sin (* phi2 0.5)) (sin (* phi1 0.5))))))) |
| 1.0s | (* (hypot (* (- (* (cos (* phi2 0.5)) (cos (* phi1 0.5))) (* (sin (* phi2 0.5)) (sin (* phi1 0.5)))) (- lambda1 lambda2)) (- phi1 phi2)) R) |
| 634.0ms | (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))) |
| 550.0ms | (/ (+ 0 (* 4.0 (* a c))) (- (- b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))) |
| 146× | rewrite-expression-head |
467 calls:
| 1.8s | (* (- (/ (/ m 1) (/ v (/ (- (* 1.0 1.0) (* m m)) (+ 1.0 m)))) 1.0) (- 1.0 m)) |
| 1.6s | (* (- (/ (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt (sqrt v))) (sqrt (sqrt v))) 1.0) m) |
| 425.0ms | (/ (* (- (pow (* (cos (* phi2 0.5)) (cos (* phi1 0.5))) 3) (pow (* (sin (* phi2 0.5)) (sin (* phi1 0.5))) 3)) (- lambda1 lambda2)) (+ (* (* (cos (* phi2 0.5)) (cos (* phi1 0.5))) (* (cos (* phi2 0.5)) (cos (* phi1 0.5)))) (+ (* (* (sin (* phi2 0.5)) (sin (* phi1 0.5))) (* (sin (* phi2 0.5)) (sin (* phi1 0.5)))) (* (* (cos (* phi2 0.5)) (cos (* phi1 0.5))) (* (sin (* phi2 0.5)) (sin (* phi1 0.5))))))) |
| 342.0ms | (- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3)) |
| 303.0ms | (- (log (exp (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))) 1.0) |
| 16600× | times-frac |
| 15614× | *-un-lft-identity |
| 12365× | add-sqr-sqrt |
| 9648× | add-cube-cbrt |
| 5092× | prod-diff |
| 4034× | sqrt-prod |
| 2910× | unpow-prod-down |
| 2833× | add-exp-log |
| 2629× | cube-prod |
| 1951× | distribute-lft-out |
| 1882× | add-cbrt-cube |
| 1295× | pow1 |
| 1282× | associate-*r* |
| 1243× | difference-of-squares |
| 1137× | associate-/r/ |
| 1015× | distribute-lft-out-- |
| 975× | prod-exp |
| 868× | div-inv |
| 833× | div-exp |
| 780× | associate-/l* |
| 676× | add-log-exp |
| 527× | associate-/r* |
| 523× | associate-*l* |
| 484× | cbrt-unprod |
| 467× | log1p-expm1-u expm1-log1p-u |
| 451× | distribute-rgt-neg-in |
| 440× | cbrt-undiv |
| 430× | flip-- |
| 429× | pow-exp flip3-- |
| 423× | flip-+ |
| 422× | flip3-+ |
| 365× | distribute-lft-neg-in |
| 361× | pow-prod-down |
| 341× | sqr-pow |
| 316× | fma-neg |
| 309× | pow-to-exp |
| 292× | distribute-rgt-in distribute-lft-in |
| 288× | unswap-sqr |
| 240× | log-prod |
| 215× | log-pow |
| 205× | cbrt-prod |
| 201× | fma-def |
| 173× | associate-*r/ |
| 163× | neg-mul-1 |
| 156× | exp-prod frac-times |
| 154× | unpow3 cube-mult |
| 126× | pow-unpow |
| 125× | associate-*l/ |
| 115× | clear-num frac-2neg |
| 112× | associate-/l/ |
| 107× | *-commutative |
| 99× | sub-neg |
| 94× | sqrt-div |
| 88× | sin-mult |
| 85× | cos-mult |
| 75× | swap-sqr diff-log |
| 71× | frac-add |
| 59× | cos-sum |
| 57× | div-sub |
| 50× | unpow2 |
| 46× | pow-pow |
| 44× | cbrt-div |
| 43× | sqrt-pow1 |
| 42× | pow-prod-up log-div |
| 41× | cube-div |
| 40× | pow-sqr |
| 39× | associate--r+ |
| 38× | sum-log |
| 34× | pow1/2 |
| 32× | associate--l+ |
| 28× | rem-log-exp |
| 27× | pow1/3 neg-sub0 |
| 26× | +-commutative |
| 25× | associate-+l+ |
| 23× | rem-sqrt-square fma-udef sin-sum |
| 21× | 1-exp |
| 20× | rem-cube-cbrt |
| 18× | pow-plus rec-exp exp-sum sin-diff |
| 17× | frac-sub associate-+l- |
| 16× | tan-quot |
| 15× | cos-diff neg-log |
| 13× | distribute-rgt-out |
| 12× | associate--l- distribute-frac-neg acos-asin |
| 11× | sin-cos-mult pow2 |
| 10× | sum-cubes distribute-neg-frac |
| 9× | pow-flip associate--r- |
| 8× | associate-+r+ |
| 7× | sub-div |
| 6× | acos-neg |
| 5× | rem-exp-log difference-cubes |
| 4× | exp-diff sqrt-undiv inv-pow associate-+r- expm1-udef |
| 3× | sqrt-unprod expm1-log1p |
| 2× | un-div-inv distribute-lft1-in distribute-rgt-out-- distribute-rgt-neg-out |
| 1× | sub0-neg rem-square-sqrt hypot-def asin-acos rem-cbrt-cube |
| 224× | egg-herbie |
Total 38.3b remaining (32%)
Threshold costs 5.0b (4.2%)
| 7.6b | 44.2% | Cubic critical, narrow range |
| 7.3b | 36.2% | Quotient of products |
| 5.1b | 24.8% | Cubic critical, medium range |
| 3.7b | 86.1% | Quadratic roots, full range |
| 3.6b | 0% | Cubic critical, wide range |