485 calls:
| 7.0m | (- (pow 1.0 3) (pow (* (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (* (+ (fma (/ -1 (fma (fabs x) 0.3275911 1.0)) (/ 1.453152027 (pow (fma (fabs x) 0.3275911 1.0) 2)) (/ 1.453152027 (pow (fma (fabs x) 0.3275911 1.0) 3))) (+ (+ 0.254829592 (- (/ 1.421413741 (pow (fma (fabs x) 0.3275911 1.0) 2)) (+ (/ 1.453152027 (pow (fma (fabs x) 0.3275911 1.0) 3)) (/ 0.284496736 (fma (fabs x) 0.3275911 1.0))))) (/ 1.061405429 (pow (fma (fabs x) 0.3275911 1.0) 4)))) (exp (- (pow (fabs x) 2))))) 3)) |
| 33.9s | (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (/ 1.061405429 (pow (fma (fabs x) 0.3275911 1.0) 4)) (+ (+ (- (+ 0.254829592 (/ 1.421413741 (pow (fma (fabs x) 0.3275911 1.0) 2))) (/ 0.284496736 (fma (fabs x) 0.3275911 1.0))) (/ (- (/ 1.453152027 (pow (fma (fabs x) 0.3275911 1.0) 2))) (fma (fabs x) 0.3275911 1.0))) (fma (/ 1.453152027 (pow (fma (fabs x) 0.3275911 1.0) 2)) (/ -1 (fma (fabs x) 0.3275911 1.0)) (/ (/ 1.453152027 (pow (fma (fabs x) 0.3275911 1.0) 2)) (fma (fabs x) 0.3275911 1.0)))))) (exp (- (* (fabs x) (fabs x)))))) |
| 4.7s | (log (/ (* 0.5 (* i (/ (/ (+ beta (+ i alpha)) (- (fma 2.0 i (+ beta alpha)) (sqrt 1.0))) (/ (fma 2.0 i (+ beta alpha)) i)))) (+ (sqrt 1.0) (fma 2.0 i (+ beta alpha))))) |
| 3.1s | (* (/ (/ (fma i (+ (+ alpha i) beta) (* beta alpha)) (fma 2.0 i (+ alpha beta))) (+ (fma 2.0 i (+ alpha beta)) (sqrt 1.0))) (/ (+ (+ alpha i) beta) (* (- (fma 2.0 i (+ alpha beta)) (sqrt 1.0)) (/ (fma 2.0 i (+ alpha beta)) i)))) |
| 1.8s | (pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5) |
| 159× | rewrite-expression-head |
485 calls:
| 1.2m | (* (* (sqrt (* PI 2.0)) (* (/ (pow (sqrt (- (+ (+ 7.0 z) 0.5) 1.0)) (+ (- z 1.0) 0.5)) (exp z)) (/ (pow (sqrt (- (+ (+ 7.0 z) 0.5) 1.0)) (+ (- z 1.0) 0.5)) (exp (- (- (- 1.0 0.5) 7.0)))))) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ (- z 1.0) 4.0))) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (+ (/ -0.13857109526572012 (+ 6.0 (- z 1.0))) (+ (/ 12.507343278686905 (+ (- z 1.0) 5.0)) (+ (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)))))))) |
| 1.1m | (* (* (sqrt (* PI 2.0)) (/ (pow (- (+ 7.0 (+ z 0.5)) 1.0) (+ (- z 1.0) 0.5)) (exp (- z (- (- 1.0 0.5) 7.0))))) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ (- z 1.0) 4.0))) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (+ (/ -0.13857109526572012 (+ 6.0 (- z 1.0))) (+ (/ 12.507343278686905 (+ (- z 1.0) 5.0)) (+ (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)))))))) |
| 1.1m | (* (/ (* (sqrt (* PI 2.0)) (pow (sqrt (+ (+ z 7.0) (- 0.5 1.0))) (* 2 (+ (- z 1.0) 0.5)))) (/ (exp z) (+ (/ -1259.1392167224028 (- (+ 2.0 z) 1.0)) (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 4.0 (- z 1.0)))) (/ 771.3234287776531 (+ 3.0 (- z 1.0)))) (+ (+ (/ 12.507343278686905 (+ (- z 1.0) 5.0)) (+ (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)))) (/ -0.13857109526572012 (+ 6.0 (- z 1.0)))))))) (exp (- (- 1.0 0.5) 7.0))) |
| 1.0m | (/ (+ (/ 9.984369578019572e-06 (+ 7.0 (- z))) (+ (+ (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z)))) (+ (/ -1259.1392167224028 (+ (- z) 2.0)) (/ -176.6150291621406 (+ (- z) 4.0)))) (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ 12.507343278686905 (+ 5.0 (- z)))) (/ 1.5056327351493116e-07 (+ 8.0 (- z)))))) (exp (+ (+ 0.5 7.0) (- z)))) |
| 39.8s | (* (* 2.0 0.0001789971) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))) |
| 132869× | times-frac |
| 88723× | *-un-lft-identity |
| 53670× | add-sqr-sqrt |
| 51280× | add-cube-cbrt |
| 24459× | sqrt-prod |
| 20999× | distribute-lft-out |
| 4402× | add-exp-log |
| 4380× | associate-/l* |
| 3654× | div-inv |
| 3631× | add-cbrt-cube |
| 3326× | pow1 |
| 2765× | frac-add |
| 2722× | prod-diff |
| 2413× | prod-exp |
| 2038× | cbrt-unprod |
| 1948× | pow-prod-down |
| 1601× | associate-/r/ |
| 1463× | associate-*r* |
| 1401× | flip-+ flip3-+ |
| 1123× | unpow-prod-down |
| 1043× | exp-sum |
| 931× | associate-/r* |
| 918× | associate-*l* |
| 806× | distribute-lft-out-- |
| 796× | difference-of-squares |
| 782× | div-exp |
| 780× | add-log-exp |
| 610× | associate-*r/ |
| 541× | distribute-rgt-in distribute-lft-in |
| 526× | distribute-neg-in |
| 486× | expm1-log1p-u log1p-expm1-u |
| 450× | cbrt-undiv |
| 355× | associate--l+ |
| 344× | cbrt-prod |
| 342× | pow-unpow |
| 337× | log-pow |
| 327× | cube-prod |
| 304× | frac-times |
| 283× | pow-exp |
| 277× | sqrt-pow1 |
| 256× | unswap-sqr |
| 230× | associate-/l/ |
| 218× | sqr-pow |
| 170× | associate-*l/ |
| 165× | fma-def |
| 162× | pow-to-exp |
| 146× | associate-+l+ |
| 141× | sum-log |
| 138× | sub-neg |
| 133× | flip-- flip3-- |
| 123× | pow1/2 |
| 119× | *-commutative |
| 109× | log-prod |
| 108× | frac-2neg clear-num |
| 107× | fma-neg |
| 98× | 1-exp exp-prod |
| 96× | unpow-prod-up |
| 83× | sqrt-div |
| 78× | pow-pow |
| 77× | fma-udef |
| 73× | rec-exp |
| 69× | unpow3 cube-mult |
| 65× | pow1/3 swap-sqr |
| 60× | pow-prod-up |
| 55× | associate-+r+ |
| 49× | diff-log |
| 40× | distribute-rgt-out |
| 38× | pow-sqr |
| 36× | +-commutative distribute-rgt-neg-in |
| 33× | distribute-lft-neg-in |
| 25× | pow-flip |
| 23× | rem-sqrt-square |
| 22× | rem-cube-cbrt |
| 21× | exp-diff |
| 19× | rem-log-exp div-sub |
| 18× | hypot-udef |
| 17× | associate--r- |
| 13× | cube-div |
| 12× | pow-div |
| 11× | frac-sub pow-plus inv-pow log-div |
| 10× | pow2 |
| 9× | distribute-rgt-neg-out neg-mul-1 |
| 8× | distribute-rgt1-in distribute-lft1-in sqrt-unprod rem-exp-log |
| 7× | un-div-inv exp-to-pow unpow2 |
| 6× | associate-+r- cbrt-div count-2 |
| 5× | associate--l- associate-+l- associate--r+ |
| 4× | neg-sub0 sin-sum distribute-neg-frac cos-sum unsub-neg |
| 3× | expm1-log1p expm1-udef exp-neg rem-square-sqrt pow-sub |
| 2× | sqrt-undiv log1p-expm1 sum-cubes distribute-rgt-out-- distribute-frac-neg rem-cbrt-cube log1p-udef sqrt-pow2 |
| 1× | difference-cubes hypot-def unpow1/3 |
| 100× | intervals |
| 1.4m | 16169× | body | 10240 | exit |
| 54.5s | 459773× | body | 80 | valid |
| 32.9s | 31044× | body | 1280 | valid |
| 14.5s | 23726× | body | 640 | valid |
| 7.1s | 3116× | body | 1280 | nan |
| 6.4s | 69248× | body | 80 | nan |
| 4.5s | 11802× | body | 320 | valid |
| 3.6s | 2701× | body | 640 | nan |
| 3.4s | 10206× | body | 160 | valid |
| 1.7s | 49536× | pre | 80 | true |
| 1.5s | 1222× | body | 320 | nan |
| 1.3s | 1531× | body | 2560 | valid |
| 1.0s | 698× | body | 160 | nan |
| 351.0ms | 597× | body | 5120 | valid |
Total 27.4b remaining (23.6%)
Threshold costs 6.7b (5.8%)
| 7.4b | 34.8% | _divideComplex, real part |
| 4.7b | 40.1% | Octave 3.8, jcobi/4 |
| 2.2b | 57.1% | powComplex, imaginary part |
| 2.1b | 55.2% | powComplex, real part |
| 2.0b | 0% | Jmat.Real.lambertw, newton loop step |