| 78× | intervals |
| 9.8m | 58323× | body | 10240 | exit |
| 1.2m | 43377× | body | 1280 | valid |
| 27.9s | 30820× | body | 640 | valid |
| 18.0s | 205335× | body | 80 | valid |
| 15.1s | 152373× | body | 80 | nan |
| 13.4s | 27645× | body | 320 | valid |
| 8.9s | 198081× | pre | 80 | true |
| 8.9s | 35875× | body | 160 | valid |
| 3.0s | 3021× | body | 2560 | valid |
| 698.0ms | 8049× | body | 160 | nan |
| 590.0ms | 4025× | pre | 10240 | exit |
| 266.0ms | 261× | body | 5120 | valid |
| 1.0ms | 1× | body | 640 | nan |
| 1.0ms | 1× | body | 320 | nan |
438 calls:
| 1.2s | (/ (- (* (cos delta) (cos delta)) (* (log1p (expm1 (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))) (log1p (expm1 (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))))) (+ (cos delta) (log1p (expm1 (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))))) |
| 912.0ms | (hypot (* (cos (/ (+ phi2 phi1) 2.0)) (- lambda1 lambda2)) (- phi1 phi2)) |
| 727.0ms | (* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2.0))) (- phi1 phi2)) R) |
| 725.0ms | (* (hypot (* (cos (/ (+ phi2 phi1) 2.0)) (- lambda1 lambda2)) (- phi1 phi2)) R) |
| 725.0ms | (- (* (cos delta) (cos delta)) (* (log1p (expm1 (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))) (log1p (expm1 (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))))) |
Total 56.0b remaining (31.6%)
Threshold costs 5.2b (2.9%)
| 7.8b | 44.1% | Quadratic roots, narrow range |
| 7.6b | 44.8% | Cubic critical, narrow range |
| 6.4b | 8.2% | Quadratic roots, medium range |
| 5.2b | 47.5% | Quotient of products |
| 4.9b | 28.9% | Cubic critical, medium range |
| 143× | rewrite-expression-head |
438 calls:
| 4.3s | (* (+ (/ (/ m (/ (/ v (+ 1.0 m)) (- 1.0 m))) (+ 1.0 m)) (- 1.0)) (- 1.0 m)) |
| 826.0ms | (cbrt (* (* (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))) (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))) (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))))) |
| 526.0ms | (- (- (/ 0.125 (* (* x x) x)) (/ 0.5 x)) (/ 0.0625 (pow x 5))) |
| 519.0ms | (* (* (+ (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)) (+ (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))) (+ (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))) |
| 461.0ms | (* (+ (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)) (- (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))) |
| 15280× | times-frac |
| 14998× | *-un-lft-identity |
| 12170× | add-sqr-sqrt |
| 9038× | add-cube-cbrt |
| 4944× | prod-diff |
| 2508× | add-exp-log |
| 2061× | sqrt-prod |
| 1775× | distribute-lft-out |
| 1630× | add-cbrt-cube |
| 1320× | difference-of-squares |
| 1196× | distribute-lft-out-- |
| 1020× | associate-/r/ |
| 988× | pow1 |
| 864× | prod-exp |
| 736× | div-inv |
| 726× | div-exp |
| 643× | associate-/l* |
| 623× | add-log-exp |
| 574× | fma-neg |
| 561× | associate-/r* |
| 550× | associate-*r* |
| 477× | associate-*l* |
| 443× | log1p-expm1-u |
| 440× | expm1-log1p-u |
| 434× | cbrt-unprod |
| 389× | associate--l+ |
| 384× | flip-+ flip-- |
| 383× | flip3-- flip3-+ |
| 375× | cbrt-undiv |
| 368× | distribute-rgt-in distribute-lft-in |
| 360× | cbrt-prod |
| 345× | log-prod |
| 265× | pow-exp |
| 205× | pow-prod-down |
| 189× | frac-times |
| 185× | pow-to-exp |
| 170× | fma-def |
| 163× | swap-sqr |
| 162× | unswap-sqr |
| 132× | distribute-rgt-neg-in |
| 130× | associate-*r/ |
| 111× | associate-*l/ |
| 110× | distribute-lft-neg-in |
| 109× | cbrt-div |
| 106× | exp-prod |
| 105× | *-commutative |
| 104× | unpow-prod-down |
| 101× | frac-2neg clear-num |
| 92× | sqrt-div sub-neg |
| 70× | diff-log |
| 67× | frac-sub pow-prod-up |
| 58× | cos-sum |
| 55× | associate-/l/ |
| 50× | log-pow |
| 46× | pow-plus |
| 45× | pow-sqr |
| 40× | pow1/3 |
| 38× | neg-mul-1 rem-log-exp |
| 37× | 1-exp rec-exp |
| 35× | sqrt-pow1 pow1/2 |
| 32× | div-sub |
| 30× | fma-udef tan-quot log-div |
| 26× | pow2 sqr-pow |
| 24× | sum-log rem-sqrt-square |
| 22× | sin-sum |
| 18× | sin-diff |
| 17× | neg-sub0 |
| 16× | +-commutative |
| 11× | sin-cos-mult |
| 10× | sin-mult |
| 9× | associate-+l- cos-diff |
| 8× | sqrt-undiv pow3 un-div-inv |
| 7× | exp-neg |
| 6× | expm1-log1p expm1-udef exp-diff pow-unpow neg-log log1p-udef |
| 5× | pow-flip acos-asin |
| 4× | log1p-expm1 inv-pow |
| 3× | distribute-frac-neg sqrt-unprod associate--r+ exp-to-pow asin-acos rem-cbrt-cube |
| 2× | associate--l- cos-mult distribute-rgt-out-- pow-pow hypot-udef rem-exp-log rem-square-sqrt frac-add |
| 1× | associate-+r- unsub-neg distribute-rgt-neg-out tanh-undef tanh-def acos-neg sqr-cos |