| 56× | intervals |
| 16× | halfpoints |
| 30.6s | 66748× | body | 1280 | valid |
| 19.7s | 17539× | body | 2560 | valid |
| 11.6s | 42086× | body | 640 | valid |
| 5.3s | 94022× | body | 80 | valid |
| 3.8s | 20773× | body | 320 | valid |
| 3.0s | 62834× | body | 80 | nan |
| 1.3s | 10734× | body | 160 | valid |
| 756.0ms | 12911× | body | 80 | overflowed |
| 748.0ms | 47547× | pre | 80 | true |
| 372.0ms | 630× | body | 1280 | nan |
| 282.0ms | 659× | body | 640 | nan |
| 204.0ms | 429× | body | 5120 | valid |
| 90.0ms | 338× | body | 320 | nan |
| 28.0ms | 175× | body | 160 | nan |
383 calls:
| 1.3s | (log (exp (+ (- (* (sqrt (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n))) (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n)))) (pow x (/ (/ 1.0 n) 2))) (fma (sqrt (pow x (/ (/ 1.0 n) 2))) (- (sqrt (pow x (/ (/ 1.0 n) 2)))) (pow x (/ (/ 1.0 n) 2)))))) |
| 968.0ms | (- (* (sqrt (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n))) (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n)))) (pow x (/ (/ 1.0 n) 2))) |
| 907.0ms | (fma (/ (+ (tan x) (tan eps)) (- (pow 1 3) (pow (* (tan x) (tan eps)) 3))) (+ (* 1 1) (+ (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* 1 (* (tan x) (tan eps))))) (- (tan x))) |
| 893.0ms | (/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (fma 1/6 (* (pow a 3) (pow eps 3)) (fma 1/2 (* (pow a 2) (pow eps 2)) (* a eps))) (- (exp (* b eps)) 1.0))) |
| 711.0ms | (/ (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (sin x))) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (tan x)))) |
| 195× | egg-herbie |
| 123× | rewrite-expression-head |
383 calls:
| 227.0ms | (+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))) |
| 203.0ms | (log (exp (+ (- (* (sqrt (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n))) (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n)))) (pow x (/ (/ 1.0 n) 2))) (fma (sqrt (pow x (/ (/ 1.0 n) 2))) (- (sqrt (pow x (/ (/ 1.0 n) 2)))) (pow x (/ (/ 1.0 n) 2)))))) |
| 145.0ms | (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) |
| 139.0ms | (log (exp (- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n)))))) |
| 116.0ms | (* (cbrt (+ (/ 1 b) (/ 1 a))) (cbrt (+ (/ 1 b) (/ 1 a)))) |
| 9508× | *-un-lft-identity |
| 7666× | times-frac |
| 7452× | add-sqr-sqrt |
| 5683× | add-cube-cbrt |
| 3251× | sqrt-prod |
| 3089× | prod-diff |
| 1480× | distribute-lft-out |
| 1289× | add-exp-log |
| 1235× | unpow-prod-down |
| 929× | add-cbrt-cube |
| 904× | cbrt-prod |
| 746× | difference-of-squares |
| 721× | pow1 |
| 635× | associate-*r* |
| 633× | add-log-exp |
| 525× | distribute-lft-out-- |
| 513× | associate-/l* |
| 492× | cube-prod |
| 456× | sqr-pow |
| 448× | associate-*l* |
| 431× | div-inv |
| 400× | log-prod |
| 369× | log1p-expm1-u expm1-log1p-u |
| 357× | fma-neg |
| 346× | associate-/r* |
| 337× | associate-/r/ |
| 319× | prod-exp |
| 305× | div-exp |
| 248× | associate-+l+ |
| 233× | distribute-rgt-neg-in |
| 223× | unswap-sqr |
| 190× | flip-+ flip3-+ |
| 184× | flip-- flip3-- |
| 179× | cbrt-undiv |
| 167× | cbrt-unprod |
| 149× | unpow2 |
| 146× | exp-sum |
| 142× | fma-def |
| 141× | swap-sqr |
| 135× | distribute-lft-neg-in |
| 127× | pow-unpow |
| 123× | sqrt-div |
| 117× | exp-prod |
| 111× | log-pow |
| 107× | sqrt-pow1 |
| 104× | pow-prod-down |
| 102× | unpow3 cube-mult |
| 87× | diff-log associate-*l/ |
| 86× | sub-neg |
| 77× | distribute-rgt-in associate-*r/ distribute-lft-in |
| 76× | pow1/2 |
| 75× | pow-exp |
| 73× | tan-quot |
| 72× | pow-to-exp |
| 67× | fma-udef |
| 66× | associate-/l/ pow1/3 frac-times |
| 65× | frac-2neg clear-num |
| 57× | pow-prod-up |
| 55× | *-commutative |
| 45× | 1-exp neg-mul-1 |
| 41× | sum-log |
| 40× | cbrt-div |
| 30× | +-commutative rec-exp |
| 29× | pow-sqr |
| 28× | rem-log-exp |
| 27× | pow-pow rem-sqrt-square log-div |
| 26× | div-sub |
| 24× | frac-add complex-mul-def |
| 21× | difference-of-sqr-1 |
| 17× | cube-div |
| 15× | neg-sub0 |
| 14× | exp-to-pow |
| 12× | associate-+r+ |
| 11× | rem-cube-cbrt associate--l+ |
| 10× | associate--l- |
| 9× | pow-flip pow-plus neg-log frac-sub |
| 8× | exp-diff pow2 hypot-def associate-+l- |
| 7× | difference-cubes sqrt-unprod |
| 6× | inv-pow *.c-commutative |
| 5× | un-div-inv associate--r+ |
| 4× | rem-exp-log expm1-def +.c-commutative complex-add-def sin-mult |
| 3× | cos-mult expm1-udef |
| 2× | associate-+l+.c associate-+r- exp-neg pow-sub rem-square-sqrt associate-*l*.c cos-sum tan-sum pow-neg rem-cbrt-cube sin-sum |
| 1× | sin-cos-mult unpow1/3 diff-atan sub-div diff-cos expm1-log1p sqr-cos diff-sin |
Total 33.5b remaining (16.2%)
Threshold costs 6.1b (3%)
| 5.0b | 81.7% | quadp (p42, positive) |
| 5.0b | 82.9% | quad2m (problem 3.2.1, negative) |
| 4.8b | 83.2% | quadm (p42, negative) |
| 3.0b | 0% | expq3 (problem 3.4.2) |
| 2.9b | 72.1% | 2cos (problem 3.3.5) |