| 72× | intervals |
| 7.7m | 80794× | body | 10240 | exit |
| 51.2s | 33115× | body | 1280 | valid |
| 26.0s | 197839× | body | 80 | valid |
| 21.7s | 151977× | body | 80 | nan |
| 21.6s | 24419× | body | 640 | valid |
| 14.3s | 25212× | body | 320 | valid |
| 13.5s | 34639× | body | 160 | valid |
| 9.8s | 153152× | pre | 80 | true |
| 3.0s | 2981× | body | 2560 | valid |
| 1.8s | 8061× | body | 160 | nan |
| 951.0ms | 4082× | pre | 10240 | exit |
| 659.0ms | 205× | body | 5120 | valid |
5305 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))))))) |
| 3.5s | (/ (* (* (* 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))))))) |
| 2.1s | (/ (/ (* (* (* 4 (* c a)) (* 4 (* c a))) (* 4 (* c a))) (* (* (* 2 a) (* 2 a)) (* 2 a))) (* (* (- (- b) (sqrt (fma c (* -4 a) (* b b)))) (- (- b) (sqrt (fma c (* -4 a) (* b b))))) (- (- b) (sqrt (fma c (* -4 a) (* b b)))))) |
| 1.6s | (/ (* (* (* (* 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)))))) (* (* (* c a) (* c a)) (* c a))) |
| 1.6s | (/ (* (* (fma -9/2 (* (* b c) a) (* 27/8 (/ (* (* a c) (* a c)) b))) (fma -9/2 (* (* b c) a) (* 27/8 (/ (* (* a c) (* a c)) b)))) (fma -9/2 (* (* b c) a) (* 27/8 (/ (* (* a c) (* a c)) b)))) (* (* (* (* 3 a) (+ (* (sqrt (fma -3 (* c a) (* b b))) (sqrt (fma -3 (* c a) (* b b)))) (+ (* b b) (* (sqrt (fma -3 (* c a) (* b b))) b)))) (* (* 3 a) (+ (* (sqrt (fma -3 (* c a) (* b b))) (sqrt (fma -3 (* c a) (* b b)))) (+ (* b b) (* (sqrt (fma -3 (* c a) (* b b))) b))))) (* (* 3 a) (+ (* (sqrt (fma -3 (* c a) (* b b))) (sqrt (fma -3 (* c a) (* b b)))) (+ (* b b) (* (sqrt (fma -3 (* c a) (* b b))) b)))))) |
432 calls:
| 686.0ms | (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) |
| 513.0ms | (cbrt (* (* (/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a) (/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a)) (/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a))) |
| 466.0ms | (* R (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2))) |
| 461.0ms | (/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))) |
| 455.0ms | (* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2)) R) |
Total 43.1b remaining (20.7%)
| 7.5b | 17.6% | Cubic critical, narrow range |
| 7.0b | 38.8% | Quotient of products |
| 6.9b | 0% | Cubic critical, medium range |
| 4.8b | 83% | Cubic critical |
| 4.0b | 80.7% | Quadratic roots, full range |
| 127× | rewrite-expression-head |
432 calls:
| 70.0ms | (cbrt (* (* (* (/ 1 (fma x x -1)) -2) (* (/ 1 (fma x x -1)) -2)) (* (/ 1 (fma x x -1)) -2))) |
| 62.0ms | (/ (/ (- (sqrt (fma c (* -4 a) (* b b))) b) 2) a) |
| 48.0ms | (/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
| 48.0ms | (/ (- (* (sqrt (fma b b (* (* a c) -3))) (fma b b (* (* a c) -3))) (* b (* b b))) (* (* 3 a) (+ (* (sqrt (fma -3 (* c a) (* b b))) (sqrt (fma -3 (* c a) (* b b)))) (+ (* b b) (* (sqrt (fma -3 (* c a) (* b b))) b))))) |
| 42.0ms | (/ (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (* c a)) |
| 1453× | *-un-lft-identity |
| 1422× | add-sqr-sqrt |
| 1284× | add-cube-cbrt |
| 1175× | add-exp-log |
| 728× | pow1 |
| 638× | add-cbrt-cube |
| 585× | prod-diff |
| 544× | add-log-exp |
| 437× | expm1-log1p-u |
| 435× | log1p-expm1-u |
| 432× | insert-posit16 |
| 386× | prod-exp |
| 380× | times-frac |
| 353× | sqrt-prod |
| 267× | associate-*r* |
| 265× | pow-exp |
| 254× | div-inv |
| 244× | associate-/r* |
| 217× | div-exp |
| 196× | associate-/r/ |
| 185× | pow-to-exp |
| 168× | associate-*l* |
| 159× | associate-/l* |
| 155× | flip-- |
| 154× | flip3-- |
| 148× | fma-neg |
| 145× | distribute-rgt-in distribute-lft-in |
| 136× | log-prod |
| 113× | rec-exp |
| 109× | flip-+ |
| 108× | flip3-+ |
| 101× | associate-*r/ |
| 100× | frac-2neg clear-num |
| 94× | neg-mul-1 |
| 92× | associate-*l/ |
| 91× | *-commutative |
| 86× | fma-def |
| 82× | pow-prod-down |
| 79× | difference-of-squares |
| 78× | log-pow |
| 75× | cbrt-prod |
| 73× | cbrt-unprod |
| 70× | sub-neg |
| 64× | tan-quot |
| 63× | fma-udef |
| 61× | distribute-lft-out |
| 60× | frac-times |
| 58× | associate-/l/ |
| 57× | log-div |
| 48× | sqrt-div |
| 45× | cbrt-undiv pow-prod-up |
| 43× | diff-log |
| 42× | pow1/2 |
| 37× | pow1/3 distribute-lft-out-- |
| 35× | cbrt-div |
| 34× | pow-flip |
| 33× | sum-log |
| 32× | exp-prod |
| 31× | pow-plus rem-sqrt-square |
| 29× | log1p-udef |
| 28× | pow2 frac-add |
| 26× | +-commutative |
| 25× | inv-pow div-sub rem-log-exp |
| 24× | associate-+r+ |
| 15× | neg-sub0 unpow-prod-down |
| 12× | distribute-rgt-neg-in associate-+l- |
| 11× | associate--l+ |
| 10× | associate-+l+ |
| 9× | associate-+r- acos-asin |
| 8× | log1p-expm1 distribute-rgt-out |
| 7× | associate--l- pow-pow sin-mult |
| 6× | sin-sum log1p-def cube-unmult distribute-rgt-neg-out difference-of-sqr-1 cos-sum |
| 5× | exp-diff frac-sub |
| 4× | distribute-rgt1-in pow3 rem-cbrt-cube distribute-lft-neg-in |
| 3× | expm1-log1p expm1-udef distribute-frac-neg log-rec neg-log difference-cubes hypot-udef acos-neg distribute-neg-in un-div-inv unsub-neg |
| 2× | sqrt-unprod rem-square-sqrt cos-diff expm1-def |
| 1× | cos-mult exp-sum hypot-1-def tanh-undef associate--r+ tanh-def sqr-sin remove-double-div asin-acos rem-exp-log sqr-cos sin-diff |