| 76× | intervals |
| 25.4m | 170157× | body | 10240 | exit |
| 1.1m | 36661× | body | 1280 | valid |
| 27.6s | 201301× | body | 80 | valid |
| 27.2s | 26066× | body | 640 | valid |
| 20.9s | 153117× | body | 80 | nan |
| 15.4s | 25718× | body | 320 | valid |
| 12.1s | 35483× | body | 160 | valid |
| 11.9s | 194778× | pre | 80 | true |
| 3.2s | 3149× | body | 2560 | valid |
| 1.8s | 7952× | body | 160 | nan |
| 899.0ms | 4060× | pre | 10240 | exit |
| 729.0ms | 244× | body | 5120 | valid |
428 calls:
| 1.6s | (* (hypot (* (- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))) (- lambda1 lambda2)) (- phi1 phi2)) R) |
| 1.5s | (* (sqrt (fma (* -3 c) a (* b b))) (fma (* -3 c) a (* b b))) |
| 1.3s | (- (* (sqrt (fma (* -3 c) a (* b b))) (fma (* -3 c) a (* b b))) (* (* b b) b)) |
| 1.2s | (- (* (fma a (* -3 c) (* b b)) (sqrt (fma a (* -3 c) (* b b)))) (* b (* b b))) |
| 803.0ms | (/ (/ (+ (* (sqrt (fma (* -3 c) a (* b b))) (* (* -3 c) a)) (/ (* (- (* (fma a (* -3 c) (* b b)) (sqrt (fma a (* -3 c) (* b b)))) (* b (* b b))) (* b b)) (+ (* (sqrt (fma (* -3 c) a (* b b))) (sqrt (fma (* -3 c) a (* b b)))) (+ (* b b) (* (sqrt (fma (* -3 c) a (* b b))) b))))) (+ (fma (sqrt (fma (* -3 c) a (* b b))) b (* b b)) (fma (* -3 c) a (* b b)))) (* 3 a)) |
Total 46.5b remaining (23.5%)
Threshold costs 3.4b (1.7%)
| 7.1b | 49.1% | Quadratic roots, narrow range |
| 6.1b | 13.3% | Quadratic roots, medium range |
| 4.9b | 53.9% | Quotient of products |
| 4.8b | 82.7% | Quadratic roots, full range |
| 4.8b | 31.8% | Cubic critical, medium range |
| 133× | rewrite-expression-head |
428 calls:
| 364.0ms | (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) |
| 350.0ms | (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) |
| 344.0ms | (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) |
| 335.0ms | (/ (/ (+ (* (sqrt (fma (* -3 c) a (* b b))) (* (* -3 c) a)) (/ (* (- (* (fma a (* -3 c) (* b b)) (sqrt (fma a (* -3 c) (* b b)))) (* b (* b b))) (* b b)) (+ (* (sqrt (fma (* -3 c) a (* b b))) (sqrt (fma (* -3 c) a (* b b)))) (+ (* b b) (* (sqrt (fma (* -3 c) a (* b b))) b))))) (+ (fma (sqrt (fma (* -3 c) a (* b b))) b (* b b)) (fma (* -3 c) a (* b b)))) (* 3 a)) |
| 316.0ms | (/ (+ (* (sqrt (fma (* -3 c) a (* b b))) (* (* -3 c) a)) (/ (* (- (* (fma a (* -3 c) (* b b)) (sqrt (fma a (* -3 c) (* b b)))) (* b (* b b))) (* b b)) (+ (* (sqrt (fma (* -3 c) a (* b b))) (sqrt (fma (* -3 c) a (* b b)))) (+ (* b b) (* (sqrt (fma (* -3 c) a (* b b))) b))))) (+ (fma (sqrt (fma (* -3 c) a (* b b))) b (* b b)) (fma (* -3 c) a (* b b)))) |
| 11228× | times-frac |
| 10604× | *-un-lft-identity |
| 9239× | add-sqr-sqrt |
| 6971× | add-cube-cbrt |
| 2947× | prod-diff |
| 2808× | add-exp-log |
| 1486× | add-cbrt-cube |
| 1338× | cbrt-prod |
| 1105× | associate-*l* |
| 1081× | distribute-lft-out |
| 1031× | prod-exp |
| 1011× | pow1 |
| 997× | div-exp |
| 925× | difference-of-squares |
| 867× | sqrt-prod |
| 713× | div-inv |
| 695× | pow-exp |
| 628× | add-log-exp |
| 576× | associate-/l* |
| 540× | associate-*r* |
| 537× | associate-/r/ |
| 536× | associate-/r* |
| 529× | distribute-lft-out-- |
| 433× | expm1-log1p-u |
| 428× | log1p-expm1-u insert-posit16 |
| 359× | cbrt-undiv |
| 347× | pow-to-exp |
| 339× | cbrt-unprod |
| 309× | fma-neg |
| 279× | difference-of-sqr-1 |
| 272× | swap-sqr |
| 262× | flip-+ |
| 261× | flip3-+ |
| 193× | flip-- |
| 192× | flip3-- |
| 185× | log-prod |
| 176× | unswap-sqr |
| 172× | pow-prod-down |
| 162× | associate--l+ |
| 144× | 1-exp rec-exp |
| 128× | distribute-lft-in distribute-rgt-in |
| 125× | fma-def |
| 114× | frac-2neg clear-num |
| 103× | unpow-prod-down |
| 94× | *-commutative |
| 78× | associate-*l/ |
| 75× | associate-*r/ |
| 73× | associate-/l/ |
| 72× | frac-times sub-neg |
| 69× | fma-udef diff-log |
| 67× | sqrt-pow1 |
| 66× | pow1/2 |
| 61× | pow-prod-up log-pow |
| 53× | frac-sub |
| 48× | sqrt-div |
| 44× | cbrt-div |
| 42× | sum-log |
| 39× | rem-sqrt-square |
| 38× | pow-sqr |
| 36× | pow-plus tan-quot |
| 34× | pow1/3 |
| 33× | sin-sum exp-prod |
| 32× | log-div |
| 31× | cos-sum |
| 28× | pow-flip rem-log-exp |
| 27× | pow2 sqr-pow |
| 26× | pow3 |
| 24× | distribute-rgt-neg-in inv-pow |
| 22× | exp-sum |
| 21× | div-sub |
| 20× | +-commutative |
| 19× | difference-cubes |
| 17× | cube-unmult |
| 16× | frac-add |
| 15× | distribute-lft-neg-in |
| 11× | associate--r+ |
| 9× | acos-asin |
| 8× | distribute-rgt-out-- sin-mult |
| 7× | neg-sub0 cos-mult associate-+l- |
| 6× | pow-div pow-unpow pow-pow distribute-rgt-out log1p-udef |
| 5× | log1p-expm1 log-rec neg-log neg-mul-1 |
| 4× | exp-diff sub-div rem-exp-log log1p-def associate--r- |
| 3× | associate--l- distribute-frac-neg acos-neg hypot-def |
| 2× | associate-+l+ distribute-lft-neg-out distribute-rgt1-in sqrt-unprod rem-square-sqrt cos-diff expm1-def |
| 1× | expm1-log1p expm1-udef associate-+r+ tanh-def un-div-inv tanh-undef hypot-udef asin-acos remove-posit16 sin-diff |