| 71× | intervals |
| 6.7m | 76949× | body | 10240 | exit |
| 52.2s | 32997× | body | 1280 | valid |
| 24.7s | 197872× | body | 80 | valid |
| 23.2s | 24613× | body | 640 | valid |
| 21.5s | 152659× | body | 80 | nan |
| 15.4s | 24768× | body | 320 | valid |
| 11.6s | 35165× | body | 160 | valid |
| 9.7s | 150346× | pre | 80 | true |
| 3.2s | 3021× | body | 2560 | valid |
| 1.8s | 8043× | body | 160 | nan |
| 834.0ms | 4101× | pre | 10240 | exit |
| 223.0ms | 204× | body | 5120 | valid |
4611 calls:
| 4.3s | (/ (* (* (* 3 (* c a)) (* 3 (* c a))) (* 3 (* c a))) (* (* (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))))) (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))))) |
| 4.0s | (/ (* (* (* 3 (* c a)) (* 3 (* c a))) (* 3 (* c a))) (* (* (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))))) (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))))) |
| 3.7s | (/ (/ (* (* (* 3 (* c a)) (* 3 (* c a))) (* 3 (* c a))) (* (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))))) |
| 3.6s | (/ (* (* (* 4 (* c a)) (* 4 (* c a))) (* 4 (* c a))) (* (* (* (* 2 a) (- (- b) (sqrt (- (* b b) (* (* 4 a) c))))) (* (* 2 a) (- (- b) (sqrt (- (* b b) (* (* 4 a) c)))))) (* (* 2 a) (- (- b) (sqrt (- (* b b) (* (* 4 a) c))))))) |
| 1.5s | (/ (* (* (/ (* 3 (* c a)) (* 3 a)) (/ (* 3 (* c a)) (* 3 a))) (/ (* 3 (* c a)) (* 3 a))) (* (* (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))))) |
414 calls:
| 20.3s | (* (hypot (* (- lambda1 lambda2) (fma (cos (* 1/2 phi1)) (cos (* 1/2 phi2)) (- (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))))) (- phi1 phi2)) R) |
| 797.0ms | (fma (sqrt (* (cbrt (fma -3 (* c a) (* b b))) (pow (fma -3 (* c a) (* b b)) 1/3))) (sqrt (cbrt (fma -3 (* c a) (* b b)))) (- b)) |
| 730.0ms | (fma (sqrt (* (* (cbrt (sqrt (fma -3 (* c a) (* b b)))) (cbrt (sqrt (fma -3 (* c a) (* b b))))) (pow (fma -3 (* c a) (* b b)) 1/3))) (sqrt (cbrt (fma -3 (* c a) (* b b)))) (- b)) |
| 701.0ms | (fma (sqrt (* (cbrt (fma -3 (* c a) (* b b))) (cbrt (fma -3 (* c a) (* b b))))) (sqrt (cbrt (fma -3 (* c a) (* b b)))) (- b)) |
| 663.0ms | (cbrt (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2)) |
Total 28.5b remaining (12.8%)
| 5.2b | 53.2% | Quotient of products |
| 4.7b | 83% | Cubic critical |
| 3.8b | 0% | Quadratic roots, wide range |
| 3.3b | 0% | Quadratic roots, medium range |
| 2.1b | 0% | 2-ancestry mixing, positive discriminant |
| 124× | rewrite-expression-head |
414 calls:
| 130.0ms | (+ (- (+ (log x) (log 2)) (/ 3/32 (pow x 4))) (/ (/ -1/4 x) x)) |
| 91.0ms | (* (- lambda1 lambda2) (- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))) |
| 49.0ms | (/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| 46.0ms | (/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| 46.0ms | (* (* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x)) (* (fma 1/3 (* x x) 2) x)) |
| 1334× | *-un-lft-identity |
| 1282× | add-sqr-sqrt |
| 1149× | add-cube-cbrt |
| 635× | add-exp-log |
| 599× | pow1 |
| 588× | add-cbrt-cube |
| 538× | add-log-exp |
| 468× | prod-diff |
| 415× | expm1-log1p-u |
| 414× | insert-posit16 log1p-expm1-u |
| 386× | times-frac |
| 281× | sqrt-prod |
| 243× | associate-*l* |
| 232× | div-inv |
| 206× | associate-*r* |
| 196× | flip-- |
| 195× | flip3-- |
| 173× | associate-/r/ |
| 158× | associate-/r* |
| 150× | associate-/l* |
| 138× | fma-neg |
| 115× | cbrt-prod |
| 113× | associate-*r/ |
| 110× | distribute-rgt-in distribute-lft-in |
| 94× | *-commutative |
| 92× | flip-+ |
| 91× | fma-def flip3-+ sub-neg |
| 83× | log-prod frac-times |
| 80× | frac-2neg clear-num |
| 76× | neg-mul-1 |
| 69× | associate-*l/ |
| 64× | difference-of-squares prod-exp |
| 62× | fma-udef |
| 61× | distribute-lft-out cbrt-div |
| 60× | cbrt-unprod |
| 59× | associate-/l/ |
| 57× | pow-prod-down |
| 47× | exp-prod |
| 44× | pow1/3 |
| 41× | div-exp |
| 39× | cbrt-undiv |
| 37× | distribute-lft-out-- diff-log |
| 36× | sqrt-div log-pow |
| 31× | frac-sub |
| 28× | pow1/2 rem-sqrt-square tan-quot |
| 27× | associate-+l+ |
| 26× | +-commutative |
| 25× | sum-log |
| 23× | associate-+r+ pow-prod-up |
| 22× | pow-plus |
| 21× | neg-sub0 log-div |
| 19× | pow2 |
| 18× | associate-+l- rem-log-exp |
| 17× | div-sub frac-add |
| 14× | difference-of-sqr-1 |
| 12× | unpow-prod-down sin-mult |
| 10× | rec-exp expm1-def |
| 9× | cos-mult exp-sum rem-exp-log |
| 8× | pow-flip |
| 7× | associate--r+ inv-pow cos-sum acos-asin |
| 6× | distribute-lft-neg-out sin-sum pow-pow associate--r- |
| 5× | exp-diff |
| 4× | associate--l- pow-exp pow3 sub-div pow-to-exp |
| 3× | associate--l+ pow-unpow un-div-inv hypot-udef distribute-rgt-out |
| 2× | unsub-neg exp-to-pow rem-cbrt-cube cos-diff unpow1/3 log1p-udef |
| 1× | associate-+r- distribute-rgt1-in distribute-frac-neg cube-unmult log1p-expm1 tanh-def tanh-undef asin-acos acos-neg sin-diff |