281 calls:
| 2.8s | (/ (/ (fma (pow (* (cbrt (+ 1.0 (/ i n))) (cbrt (+ 1.0 (/ i n)))) (* 2 n)) (pow (cbrt (+ 1.0 (/ i n))) (* 2 n)) (- (* 1.0 1.0))) (+ (pow (+ 1.0 (/ i n)) n) 1.0)) (/ i n)) |
| 2.0s | (/ (/ (+ (pow (+ 1.0 (/ i n)) (* 2 n)) (- (* 1.0 1.0))) (+ (pow (+ 1.0 (/ i n)) n) 1.0)) (/ i n)) |
| 1.2s | (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0)) |
| 748.0ms | (* (sqrt 100.0) (* (sqrt 100.0) (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) (/ i n)))) |
| 596.0ms | (expm1 (log1p (fma 1.3877787807814457e-17 (/ (pow x 3) eps) (- 1.0 (* 0.5 (pow x 2)))))) |
| 73× | intervals |
| 9.8s | 295362× | body | 80 | valid |
| 4.8s | 13630× | body | 1280 | valid |
| 2.3s | 3799× | body | 2560 | valid |
| 1.8s | 9443× | body | 640 | valid |
| 1.8s | 16950× | body | 160 | valid |
| 1.5s | 100645× | pre | 80 | true |
| 1.1s | 2297× | body | 10240 | exit |
| 721.0ms | 6655× | body | 320 | valid |
| 570.0ms | 19816× | body | 80 | nan |
| 100.0ms | 244× | body | 5120 | valid |
| 6.0ms | 100× | pre | 80 | false |
| 172× | egg-herbie |
| 102× | rewrite-expression-head |
281 calls:
| 343.0ms | (/ (/ (+ (pow (+ 1.0 (/ i n)) (* 2 n)) (- (* 1.0 1.0))) (+ (pow (+ 1.0 (/ i n)) n) 1.0)) (/ i n)) |
| 313.0ms | (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) |
| 285.0ms | (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) |
| 285.0ms | (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) |
| 282.0ms | (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) |
| 8330× | times-frac |
| 8207× | *-un-lft-identity |
| 6899× | add-sqr-sqrt |
| 5899× | add-cube-cbrt |
| 3519× | prod-diff |
| 1546× | add-exp-log |
| 1227× | add-cbrt-cube |
| 952× | distribute-lft-out |
| 741× | distribute-rgt-in distribute-lft-in |
| 630× | pow1 |
| 609× | associate-*r* |
| 578× | div-inv |
| 571× | add-log-exp |
| 512× | prod-exp |
| 498× | sqrt-prod |
| 475× | associate-*l* |
| 393× | div-exp |
| 369× | associate-/l* difference-of-squares |
| 364× | cbrt-unprod |
| 327× | unpow-prod-down |
| 318× | associate-/r/ |
| 288× | cbrt-undiv |
| 283× | log1p-expm1-u |
| 282× | expm1-log1p-u |
| 274× | associate-/r* |
| 240× | distribute-lft-out-- |
| 224× | flip-+ flip3-+ |
| 223× | fma-neg |
| 189× | distribute-rgt-neg-in |
| 178× | frac-times |
| 169× | flip3-- flip-- |
| 168× | cbrt-prod |
| 157× | distribute-lft-neg-in |
| 152× | pow-prod-down |
| 140× | associate-*r/ |
| 132× | sqr-pow |
| 122× | unswap-sqr |
| 118× | sum-log |
| 117× | associate-*l/ |
| 109× | fma-def |
| 104× | cube-prod |
| 75× | associate-/l/ |
| 73× | sqrt-div |
| 72× | swap-sqr |
| 69× | 1-exp |
| 67× | frac-add sub-neg |
| 65× | *-commutative |
| 62× | clear-num frac-2neg |
| 53× | neg-mul-1 diff-log |
| 45× | distribute-neg-frac |
| 44× | cube-div |
| 42× | fma-udef |
| 38× | rec-exp |
| 32× | log-prod |
| 31× | pow-exp unpow2 |
| 28× | pow-to-exp div-sub |
| 25× | +-commutative |
| 22× | unpow3 cube-mult |
| 21× | sqrt-pow1 |
| 19× | pow-unpow |
| 17× | pow1/2 |
| 16× | cbrt-div pow-plus frac-sub pow-prod-up |
| 14× | neg-sub0 |
| 13× | rem-sqrt-square log-pow |
| 12× | pow2 pow-sqr associate--r+ |
| 11× | associate-+r+ pow1/3 associate--l+ |
| 10× | neg-log log-div |
| 9× | associate--l- pow-flip |
| 7× | associate-+l+ hypot-udef exp-prod pow-pow |
| 6× | inv-pow distribute-lft-neg-out |
| 5× | rem-cube-cbrt rem-cbrt-cube associate-+l- rem-log-exp |
| 4× | distribute-frac-neg |
| 3× | rem-exp-log un-div-inv expm1-log1p expm1-udef |
| 2× | associate-+r- unsub-neg hypot-def exp-to-pow |
| 1× | exp-diff log1p-udef pow3 exp-neg log1p-expm1 |
Total 41.8b remaining (13.6%)
Threshold costs 2.7b (0.9%)
| 11.6b | 45% | Compound Interest |
| 8.7b | 31.6% | Complex division, imag part |
| 6.6b | 40.1% | Complex division, real part |
| 5.0b | 82.3% | The quadratic formula (r2) |
| 4.8b | 82% | The quadratic formula (r1) |