| 73× | intervals |
| 27.5s | 294983× | body | 80 | valid |
| 9.9s | 13568× | body | 1280 | valid |
| 4.8s | 16921× | body | 160 | valid |
| 4.0s | 3868× | body | 2560 | valid |
| 3.6s | 9467× | body | 640 | valid |
| 3.2s | 2268× | body | 10240 | exit |
| 2.8s | 100591× | pre | 80 | true |
| 1.9s | 19629× | body | 80 | nan |
| 1.7s | 6805× | body | 320 | valid |
| 300.0ms | 248× | body | 5120 | valid |
| 7.0ms | 100× | pre | 80 | false |
286 calls:
| 2.0s | (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0)) |
| 1.2s | (expm1 (log1p (* (pow y 6.0) 333.75))) |
| 1.1s | (+ (* (fma (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (- (* (* x1 x1) (* x1 x1)) (* 1.0 1.0))) (- (* x1 x1) 1.0) (- (* (cbrt 3.0) (* (cbrt 3.0) (cbrt 3.0))))) (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)))) (fma (* (+ (- 3.0) 3.0) (* 2.0 x1)) (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0)) (/ (* (* (* (pow x1 2) (fma (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0)) 4.0 6.0)) (* (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0)))) (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0))) (+ (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0)))) |
| 1.0s | (cbrt (fma 0.6666666666666667 (pow x 3) 2.0)) |
| 942.0ms | (+ (* (fma (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (- (* (* x1 x1) (* x1 x1)) (* 1.0 1.0))) (- (* x1 x1) 1.0) (- (* (cbrt 3.0) (* (cbrt 3.0) (cbrt 3.0))))) (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)))) (fma (* (+ (- 3.0) 3.0) (* 2.0 x1)) (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0)) (* (pow x1 2) (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0)))) |
| 101× | rewrite-expression-head |
286 calls:
| 1.9s | (+ (+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0))) (/ 77617.0 (* 2.0 33096.0))) |
| 1.7s | (+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0))) |
| 1.1s | (+ (* (* (* 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))) |
| 1.0s | (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) |
| 815.0ms | (- (- (+ 3.0 (/ 2.0 (* r r))) (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))) 4.5) |
| 10050× | times-frac |
| 8676× | *-un-lft-identity |
| 8203× | add-sqr-sqrt |
| 7034× | add-cube-cbrt |
| 4500× | prod-diff |
| 1308× | add-exp-log |
| 1147× | distribute-rgt-in distribute-lft-in |
| 1117× | add-cbrt-cube |
| 914× | associate-*r* |
| 807× | div-inv |
| 662× | associate-+l+ |
| 660× | distribute-lft-out |
| 602× | pow1 |
| 601× | associate-*l* |
| 582× | add-log-exp |
| 553× | unpow-prod-down |
| 418× | sqrt-prod |
| 373× | prod-exp |
| 367× | difference-of-squares |
| 354× | cube-prod |
| 308× | associate-/l* |
| 304× | div-exp |
| 297× | cbrt-unprod |
| 287× | log1p-expm1-u expm1-log1p-u |
| 272× | associate-/r* |
| 241× | cbrt-undiv |
| 216× | distribute-lft-out-- |
| 205× | fma-neg |
| 197× | cbrt-prod |
| 196× | sqr-pow |
| 188× | frac-times |
| 177× | pow-prod-down associate-/r/ |
| 174× | distribute-lft-neg-in |
| 173× | flip-+ flip3-+ associate-*r/ |
| 172× | unswap-sqr |
| 167× | distribute-rgt-neg-in |
| 165× | flip3-- flip-- |
| 158× | fma-def |
| 131× | sum-log |
| 128× | exp-prod |
| 114× | associate-*l/ |
| 102× | frac-sub |
| 91× | cube-mult unpow3 |
| 78× | exp-neg |
| 76× | associate-/l/ |
| 73× | *-commutative |
| 71× | sub-neg |
| 66× | distribute-rgt-out |
| 65× | neg-sub0 |
| 62× | clear-num frac-2neg |
| 59× | exp-diff |
| 55× | fma-udef |
| 47× | diff-log |
| 44× | neg-mul-1 |
| 40× | sqrt-div |
| 35× | swap-sqr |
| 33× | pow-exp sqrt-pow1 |
| 32× | pow1/2 pow-prod-up |
| 30× | pow-sqr +-commutative |
| 27× | pow-to-exp |
| 26× | log-prod |
| 25× | associate-+r+ |
| 24× | frac-add unpow2 |
| 23× | 1-exp rec-exp |
| 20× | un-div-inv div-sub |
| 18× | distribute-lft1-in |
| 16× | exp-sum |
| 15× | cbrt-div pow-unpow rem-sqrt-square pow1/3 |
| 14× | distribute-rgt1-in |
| 13× | associate--l+ |
| 12× | cube-div sum-cubes |
| 10× | count-2 |
| 8× | rem-cube-cbrt pow-plus |
| 7× | sqrt-unprod pow2 distribute-frac-neg pow-pow |
| 6× | distribute-lft-neg-out neg-log |
| 5× | inv-pow log-pow pow-flip |
| 4× | rem-exp-log associate--l- rem-cbrt-cube expm1-udef log-div |
| 3× | expm1-log1p associate-+l- |
| 2× | log1p-udef log1p-expm1 rem-log-exp |
| 1× | associate-+r- hypot-udef unsub-neg rem-square-sqrt hypot-def distribute-rgt-out-- distribute-rgt-neg-out distribute-neg-frac associate--r+ |
Total 35.5b remaining (15.3%)
Threshold costs 3.9b (1.7%)
| 10.6b | 58.1% | Compound Interest |
| 9.6b | 14.1% | Complex division, real part |
| 4.7b | 83.5% | The quadratic formula (r1) |
| 4.0b | 85.1% | The quadratic formula (r2) |
| 1.6b | 90.7% | NMSE Section 6.1 mentioned, A |