| 73× | intervals |
| 9.6s | 294704× | body | 80 | valid |
| 4.9s | 13761× | body | 1280 | valid |
| 2.7s | 3880× | body | 2560 | valid |
| 1.8s | 9386× | body | 640 | valid |
| 1.8s | 16929× | body | 160 | valid |
| 1.4s | 100590× | pre | 80 | true |
| 1.0s | 2168× | body | 10240 | exit |
| 731.0ms | 6802× | body | 320 | valid |
| 558.0ms | 19557× | body | 80 | nan |
| 65.0ms | 229× | body | 5120 | valid |
| 3.0ms | 100× | pre | 80 | false |
275 calls:
| 1.2s | (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0)) |
| 980.0ms | (fma (sqrt (pow x 4.0)) (sqrt (pow x 4.0)) (- (pow y 4.0))) |
| 608.0ms | (* (/ (+ (pow (+ 1.0 (/ i n)) (/ n 2)) (sqrt 1.0)) i) (* (- (pow (+ 1.0 (/ i n)) (/ n 2)) (sqrt 1.0)) n)) |
| 594.0ms | (* 100.0 (* (/ (+ (pow (+ 1.0 (/ i n)) (/ n 2)) (sqrt 1.0)) i) (* (fma i 0.5 (- (fma 1/2 (* (log 1.0) n) 1) (sqrt 1.0))) n))) |
| 577.0ms | (/ 1.0 (+ 2.0 (* (fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))) |
| 172× | egg-herbie |
| 102× | rewrite-expression-head |
275 calls:
| 595.0ms | (* (/ (+ (pow (+ 1.0 (/ i n)) (/ n 2)) (sqrt 1.0)) i) (* (- (pow (+ 1.0 (/ i n)) (/ n 2)) (sqrt 1.0)) n)) |
| 582.0ms | (* 100.0 (* (* (/ (+ (pow (+ 1.0 (/ i n)) (/ n 2)) (sqrt 1.0)) i) (fma i 0.5 (- (fma 1/2 (* (log 1.0) n) 1) (sqrt 1.0)))) n)) |
| 357.0ms | (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) |
| 324.0ms | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))) |
| 283.0ms | (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) |
| 17285× | times-frac |
| 14193× | *-un-lft-identity |
| 12228× | add-sqr-sqrt |
| 9842× | add-cube-cbrt |
| 5333× | prod-diff |
| 1797× | distribute-rgt-neg-in |
| 1768× | distribute-lft-neg-in |
| 1595× | add-exp-log |
| 1354× | distribute-lft-out |
| 1203× | add-cbrt-cube |
| 1071× | unpow-prod-down |
| 985× | difference-of-squares |
| 973× | distribute-rgt-in distribute-lft-in |
| 928× | div-inv |
| 886× | distribute-lft-out-- |
| 687× | sqrt-prod |
| 685× | associate-*r* |
| 611× | associate-/l* |
| 591× | associate-/r/ |
| 557× | pow1 |
| 539× | add-log-exp |
| 516× | prod-exp |
| 449× | div-exp |
| 441× | associate-*l* |
| 374× | sqr-pow |
| 366× | flip-+ flip3-+ |
| 357× | cube-prod |
| 352× | associate-/r* |
| 319× | cbrt-unprod |
| 298× | cbrt-undiv |
| 275× | log1p-expm1-u expm1-log1p-u |
| 259× | fma-neg |
| 252× | neg-mul-1 |
| 176× | cbrt-prod |
| 169× | flip3-- flip-- |
| 165× | frac-times |
| 160× | associate-*r/ |
| 139× | unswap-sqr |
| 136× | associate-+l+ |
| 115× | associate-*l/ |
| 113× | pow-prod-down |
| 112× | frac-sub |
| 106× | fma-def |
| 104× | sum-log |
| 91× | unpow3 cube-mult |
| 88× | 1-exp |
| 81× | exp-neg |
| 75× | sub-neg |
| 73× | neg-sub0 |
| 72× | swap-sqr |
| 70× | associate-/l/ |
| 67× | clear-num frac-2neg |
| 63× | *-commutative |
| 62× | exp-diff |
| 61× | pow-unpow |
| 56× | cbrt-div |
| 55× | unpow2 |
| 52× | diff-log |
| 44× | rec-exp |
| 42× | fma-udef |
| 41× | sqrt-div |
| 39× | pow-exp |
| 31× | pow-to-exp |
| 24× | un-div-inv +-commutative |
| 22× | rem-sqrt-square div-sub |
| 21× | pow1/3 log-prod |
| 20× | pow1/2 exp-sum sqrt-pow1 |
| 19× | associate-+r+ |
| 17× | cube-div |
| 16× | frac-add |
| 15× | pow-flip |
| 13× | associate--r+ |
| 12× | pow-prod-up |
| 11× | pow-sqr pow-plus |
| 10× | pow2 log-pow |
| 8× | inv-pow |
| 7× | associate--l- neg-log pow-pow |
| 6× | log-div |
| 5× | rem-cbrt-cube |
| 4× | rem-cube-cbrt distribute-lft-neg-out distribute-neg-in distribute-frac-neg hypot-def exp-prod sum-cubes associate-+l- rem-log-exp |
| 3× | associate--l+ |
| 2× | sub0-neg associate-+r- |
| 1× | sub-div unsub-neg associate--r- distribute-rgt-out-- sqrt-undiv distribute-neg-frac exp-to-pow |
Total 34.8b remaining (12.2%)
Threshold costs 3.4b (1.2%)
| 10.5b | 52.3% | Compound Interest |
| 7.4b | 35.1% | Complex division, real part |
| 4.4b | 84.7% | The quadratic formula (r2) |
| 4.0b | 52.8% | Complex division, imag part |
| 3.8b | 86.7% | The quadratic formula (r1) |