| 73× | intervals |
| 25.4s | 286450× | body | 80 | valid |
| 10.2s | 13861× | body | 1280 | valid |
| 10.0s | 25107× | body | 160 | valid |
| 4.1s | 3831× | body | 2560 | valid |
| 3.9s | 9354× | body | 640 | valid |
| 3.4s | 2227× | body | 10240 | exit |
| 2.3s | 100605× | pre | 80 | true |
| 2.1s | 6845× | body | 320 | valid |
| 1.3s | 19460× | body | 80 | nan |
| 202.0ms | 253× | body | 5120 | valid |
| 6.0ms | 100× | pre | 80 | false |
285 calls:
| 2.0s | (+ (fma 121.0 (pow y 4.0) 2.0) (pow y 6.0)) |
| 1.5s | (fma (sqrt (pow x 4.0)) (sqrt (pow x 4.0)) (- (pow y 4.0))) |
| 747.0ms | (+ (* (* (* 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)) (+ (* (fma 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) (- (* (sqrt 6.0) (sqrt 6.0)))) (* x1 x1)) (* (+ (- 6.0) (* (sqrt 6.0) (sqrt 6.0))) (* x1 x1)))) |
| 741.0ms | (- (* 9.0 (pow x 4.0)) (pow y 4.0)) |
| 683.0ms | (- (* 9.0 (pow x 4.0)) (pow y 4.0)) |
| 101× | rewrite-expression-head |
285 calls:
| 1.6s | (+ (+ (* 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))) |
| 1.4s | (- (+ (exp (* x (- eps 1.0))) (/ (exp (* x (- eps 1.0))) eps)) (/ (exp (- (* x (+ eps 1.0)))) eps)) |
| 898.0ms | (+ (* (* (* 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)) (* (* (cbrt (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))) (cbrt (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) (cbrt (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))))) |
| 851.0ms | (+ (* (* (* 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)) (+ (* (fma 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) (- (* (sqrt 6.0) (sqrt 6.0)))) (* x1 x1)) (* (+ (- 6.0) (* (sqrt 6.0) (sqrt 6.0))) (* x1 x1)))) |
| 834.0ms | (+ (* (* (* 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))) |
| 6701× | times-frac |
| 6661× | *-un-lft-identity |
| 6495× | add-sqr-sqrt |
| 5160× | add-cube-cbrt |
| 3012× | prod-diff |
| 1371× | add-exp-log |
| 1277× | add-cbrt-cube |
| 982× | sqrt-prod |
| 876× | pow1 |
| 867× | distribute-rgt-in distribute-lft-in |
| 640× | associate-*r/ |
| 618× | add-log-exp |
| 609× | associate-*r* |
| 543× | difference-of-squares |
| 500× | div-inv |
| 456× | prod-exp |
| 437× | cbrt-unprod |
| 416× | associate-*l* |
| 412× | distribute-lft-out-- |
| 410× | flip3-- flip-- |
| 404× | associate-+l+ |
| 396× | frac-times |
| 388× | distribute-lft-out cbrt-div |
| 365× | associate-/l* |
| 309× | associate-/r* |
| 287× | expm1-log1p-u |
| 286× | div-exp |
| 285× | log1p-expm1-u |
| 269× | pow-prod-down |
| 246× | cbrt-undiv |
| 243× | fma-neg |
| 228× | associate-*l/ |
| 193× | flip-+ flip3-+ |
| 171× | frac-add |
| 168× | cbrt-prod |
| 165× | associate-/r/ |
| 158× | unpow-prod-down |
| 139× | sum-log |
| 126× | distribute-rgt-neg-in |
| 118× | distribute-lft-neg-in |
| 112× | exp-sum |
| 101× | frac-sub |
| 99× | unswap-sqr |
| 91× | sub-neg |
| 77× | sqr-pow fma-def exp-neg |
| 75× | *-commutative |
| 71× | associate-/l/ |
| 66× | diff-log |
| 64× | neg-sub0 |
| 58× | exp-diff frac-2neg clear-num |
| 55× | pow-prod-up |
| 48× | pow1/3 |
| 46× | swap-sqr |
| 42× | pow-plus |
| 40× | log-prod sqrt-pow1 neg-mul-1 |
| 39× | associate--l+ |
| 38× | pow1/2 |
| 35× | sqrt-div |
| 33× | pow-sqr |
| 31× | fma-udef |
| 30× | associate-+r+ |
| 26× | +-commutative |
| 24× | div-sub distribute-neg-in |
| 21× | rem-sqrt-square |
| 20× | un-div-inv |
| 19× | pow2 log-pow |
| 16× | 1-exp |
| 11× | associate--l- |
| 10× | rec-exp log-div |
| 7× | pow-flip pow3 distribute-frac-neg sqrt-unprod associate--r+ |
| 6× | exp-prod |
| 5× | pow-exp neg-log pow-to-exp hypot-def distribute-rgt-out |
| 4× | distribute-lft-neg-out cube-prod |
| 3× | pow-unpow inv-pow rem-log-exp |
| 2× | associate-+r- log1p-expm1 hypot-udef rem-exp-log rem-cbrt-cube associate--r- log1p-udef |
| 1× | expm1-log1p expm1-udef unpow3 pow-pow rem-square-sqrt cube-mult unsub-neg |
Total 37.7b remaining (14.8%)
Threshold costs 2.4b (0.9%)
| 10.7b | 53.1% | Compound Interest |
| 7.5b | 34.2% | Complex division, real part |
| 4.4b | 79.1% | Kahan p9 Example |
| 4.1b | 85.9% | The quadratic formula (r2) |
| 3.4b | 0% | Complex division, imag part |