| 73× | intervals |
| 27.6s | 285851× | body | 80 | valid |
| 9.2s | 13794× | body | 1280 | valid |
| 9.1s | 25173× | body | 160 | valid |
| 4.2s | 3848× | body | 2560 | valid |
| 4.0s | 9461× | body | 640 | valid |
| 3.5s | 100685× | pre | 80 | true |
| 3.3s | 2175× | body | 10240 | exit |
| 2.4s | 6968× | body | 320 | valid |
| 1.5s | 19331× | body | 80 | nan |
| 146.0ms | 227× | body | 5120 | valid |
| 7.0ms | 100× | pre | 80 | false |
284 calls:
| 1.7s | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (fma (/ (* (cbrt (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1)) (cbrt (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1))) (sqrt (+ (* x1 x1) 1.0))) (/ (cbrt (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1)) (sqrt (+ (* 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 | (log (* (cbrt (exp (* (* x x) x))) (cbrt (exp (* (* x x) x))))) |
| 1.0s | (/ (fma (pow (* (cbrt (+ 1.0 (/ i n))) (cbrt (+ 1.0 (/ i n)))) n) (pow (cbrt (+ 1.0 (/ i n))) n) (- 1.0)) (/ i n)) |
| 989.0ms | (log (cbrt (exp (* (* x x) x)))) |
| 944.0ms | (+ (* (* (* 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)) (* (fma 6.0 -1 6.0) (* x1 x1)))) |
| 105× | rewrite-expression-head |
284 calls:
| 3.1s | (+ (+ (+ (* 333.75 (pow y 6.0)) (* (* x x) (- (- (- (* (* (* (* 11.0 x) x) y) y) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0))) (* 5.5 (pow y 8.0))) (/ x (* 2.0 y))) |
| 3.0s | (+ (+ (* 333.75 (pow y 6.0)) (* (* x x) (- (- (- (* (* (* (* 11.0 x) x) y) y) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0))) (* 5.5 (pow y 8.0))) |
| 1.4s | (- (- (+ 3.0 (/ (/ 2.0 r) r)) (* (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)))) 4.5) |
| 939.0ms | (+ (* (* (* 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)) (- (* (cbrt 6.0) (* (cbrt 6.0) (cbrt 6.0))))) (* x1 x1))) |
| 936.0ms | (+ (* (* (* 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)) (* (fma 6.0 -1 6.0) (* x1 x1)))) |
| 6980× | times-frac |
| 6720× | *-un-lft-identity |
| 6705× | add-sqr-sqrt |
| 5540× | add-cube-cbrt |
| 3976× | prod-diff |
| 1201× | add-exp-log |
| 1153× | pow1 |
| 1116× | add-cbrt-cube |
| 782× | distribute-rgt-in distribute-lft-in |
| 661× | div-inv |
| 604× | associate-*r* |
| 597× | add-log-exp |
| 427× | difference-of-squares |
| 411× | associate-*l* |
| 402× | associate-+l+ |
| 401× | unpow-prod-down |
| 381× | sqrt-prod |
| 371× | prod-exp |
| 348× | cbrt-unprod |
| 323× | distribute-lft-out-- |
| 307× | distribute-lft-out |
| 290× | fma-neg |
| 287× | pow-prod-down |
| 285× | log1p-expm1-u |
| 284× | expm1-log1p-u |
| 239× | associate-/r* |
| 237× | div-exp |
| 220× | associate-/l* |
| 211× | cbrt-undiv |
| 176× | pow-prod-up |
| 165× | cbrt-prod |
| 158× | sqr-pow |
| 153× | flip-- flip3-- |
| 152× | associate-*r/ |
| 138× | flip-+ flip3-+ |
| 136× | associate-/r/ |
| 123× | frac-times |
| 119× | distribute-rgt-neg-in |
| 111× | unswap-sqr |
| 110× | sum-log |
| 108× | distribute-lft-neg-in |
| 99× | associate-*l/ |
| 93× | sqrt-pow1 |
| 90× | pow-plus pow-sqr |
| 88× | sub-neg |
| 69× | associate-/l/ log-pow |
| 67× | diff-log |
| 65× | swap-sqr |
| 63× | *-commutative fma-def |
| 57× | pow1/2 |
| 55× | log-prod cbrt-div |
| 52× | frac-2neg clear-num |
| 50× | pow2 |
| 46× | pow1/3 |
| 38× | fma-udef exp-prod |
| 36× | frac-sub neg-mul-1 |
| 33× | frac-add |
| 28× | associate-+r+ |
| 27× | sqrt-div |
| 25× | exp-sum |
| 19× | +-commutative |
| 18× | rem-sqrt-square |
| 15× | exp-to-pow div-sub log-div |
| 14× | rem-log-exp |
| 13× | 1-exp rec-exp |
| 11× | pow3 sub-div |
| 10× | associate--l+ |
| 9× | pow-unpow |
| 8× | associate--l- |
| 6× | pow-exp pow-to-exp |
| 5× | pow-flip distribute-frac-neg distribute-rgt-out |
| 4× | neg-sub0 distribute-lft-neg-out cube-prod neg-log sqrt-unprod hypot-def |
| 3× | pow-pow inv-pow rem-exp-log |
| 2× | pow-div associate--r+ rem-square-sqrt |
| 1× | expm1-log1p expm1-udef distribute-rgt-out-- unpow3 un-div-inv cube-mult rem-cbrt-cube |
Total 53.2b remaining (21%)
Threshold costs 2.3b (0.9%)
| 15.3b | 39.5% | Compound Interest |
| 9.5b | 18.3% | Complex division, real part |
| 7.7b | 30.9% | Complex division, imag part |
| 7.5b | 61.7% | Kahan p9 Example |
| 4.8b | 85.5% | The quadratic formula (r1) |