| 56× | intervals |
| 16× | halfpoints |
| 24.7s | 66674× | body | 1280 | valid |
| 17.6s | 17684× | body | 2560 | valid |
| 8.8s | 42276× | body | 640 | valid |
| 3.0s | 93824× | body | 80 | valid |
| 2.6s | 20242× | body | 320 | valid |
| 1.7s | 64337× | body | 80 | nan |
| 879.0ms | 10742× | body | 160 | valid |
| 650.0ms | 16259× | body | 80 | overflowed |
| 632.0ms | 49557× | pre | 80 | true |
| 134.0ms | 274× | body | 640 | nan |
| 129.0ms | 130× | body | 1280 | nan |
| 123.0ms | 444× | body | 5120 | valid |
| 40.0ms | 167× | body | 320 | nan |
| 13.0ms | 97× | body | 160 | nan |
400 calls:
| 884.0ms | (fma (fma (fma (tan x) (tan eps) 1) (* (tan x) (tan eps)) 1) (/ (+ (tan x) (tan eps)) (- 1 (pow (* (tan x) (tan eps)) 3))) (- (tan x))) |
| 502.0ms | (exp (- (log 1.0) (log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x))))))) |
| 484.0ms | (/ (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0)))) |
| 471.0ms | (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0)))) |
| 444.0ms | (* (/ 1 (sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))) (/ (- (pow (pow eps 2) 3) (pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)) (sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4))))) |
| 194× | egg-herbie |
| 122× | rewrite-expression-head |
400 calls:
| 251.0ms | (* (/ 1 (sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))) (/ (- (pow (pow eps 2) 3) (pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)) (sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4))))) |
| 237.0ms | (+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))) |
| 195.0ms | (* (sqrt x) (sqrt (+ x 1.0))) |
| 120.0ms | (/ (- (pow (pow eps 2) 3) (pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)) (sqrt (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))) |
| 117.0ms | (/ (- (pow (pow eps 2) 3) (pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)) (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4))) |
| 11253× | add-sqr-sqrt |
| 11146× | *-un-lft-identity |
| 11050× | times-frac |
| 8231× | add-cube-cbrt |
| 5075× | prod-diff |
| 3381× | sqrt-prod |
| 2147× | unpow-prod-down |
| 1656× | difference-of-squares |
| 1347× | add-exp-log |
| 1291× | cube-prod |
| 979× | add-cbrt-cube |
| 912× | sqr-pow |
| 795× | distribute-lft-out-- |
| 717× | associate-/l* |
| 714× | associate-*r* |
| 694× | cbrt-prod |
| 688× | pow1 |
| 683× | distribute-lft-out |
| 676× | add-log-exp |
| 646× | associate-*l* |
| 572× | fma-neg |
| 545× | distribute-rgt-neg-in |
| 496× | div-inv |
| 402× | distribute-lft-neg-in |
| 386× | log1p-expm1-u |
| 385× | expm1-log1p-u |
| 378× | div-exp |
| 345× | associate-/r* |
| 340× | associate-+l+ |
| 300× | associate-/r/ |
| 293× | prod-exp |
| 279× | distribute-rgt-in distribute-lft-in |
| 254× | log-prod |
| 242× | flip-+ flip3-+ |
| 230× | unpow2 |
| 219× | flip-- flip3-- |
| 211× | cbrt-undiv |
| 167× | cbrt-unprod |
| 161× | pow-unpow unswap-sqr |
| 134× | neg-mul-1 exp-sum |
| 124× | cbrt-div |
| 121× | sqrt-div unpow3 cube-mult sub-neg |
| 120× | log-pow |
| 112× | diff-log |
| 108× | fma-def |
| 99× | associate-*l/ associate-*r/ |
| 93× | exp-prod |
| 89× | log-div |
| 82× | sqrt-pow1 |
| 81× | frac-times pow-exp |
| 78× | pow-to-exp |
| 76× | pow-prod-down |
| 74× | associate-/l/ |
| 72× | frac-2neg clear-num |
| 63× | frac-add pow1/3 |
| 62× | pow1/2 |
| 53× | 1-exp |
| 49× | tan-quot |
| 48× | *-commutative swap-sqr |
| 38× | rec-exp |
| 37× | sum-log |
| 36× | difference-cubes fma-udef |
| 35× | rem-sqrt-square |
| 33× | div-sub |
| 27× | +-commutative |
| 24× | complex-mul-def |
| 23× | rem-log-exp |
| 22× | pow-flip |
| 19× | pow-pow |
| 18× | associate--r- |
| 17× | neg-sub0 |
| 16× | pow-prod-up frac-sub |
| 15× | associate--l- |
| 14× | pow-sqr |
| 13× | associate-+r+ |
| 12× | associate--l+ |
| 11× | exp-diff |
| 10× | pow-div neg-log |
| 9× | associate-+l- |
| 8× | rem-cube-cbrt |
| 7× | pow2 pow-plus |
| 6× | rem-exp-log inv-pow *.c-commutative |
| 5× | associate--r+ |
| 4× | sqrt-unprod sub-div +.c-commutative complex-add-def hypot-def |
| 3× | cube-div un-div-inv difference-of-sqr-1 sin-mult cos-mult |
| 2× | associate-+l+.c expm1-def associate-+r- exp-neg associate-*l*.c tan-sum cos-sum exp-to-pow sin-sum |
| 1× | sin-cos-mult diff-atan diff-cos expm1-log1p rem-square-sqrt distribute-rgt-out-- expm1-udef frac-2neg.c diff-sin |
Total 22.5b remaining (8.9%)
Threshold costs 5.4b (2.1%)
| 4.4b | 84.5% | quadm (p42, negative) |
| 4.4b | 84.6% | quad2m (problem 3.2.1, negative) |
| 1.9b | 29.6% | expq3 (problem 3.4.2) |
| 1.5b | 82.4% | 2nthrt (problem 3.4.6) |
| 1.3b | 86.9% | 2cos (problem 3.3.5) |