| 56× | intervals |
| 16× | halfpoints |
| 24.5s | 66667× | body | 1280 | valid |
| 17.1s | 17411× | body | 2560 | valid |
| 8.4s | 42121× | body | 640 | valid |
| 4.1s | 12572× | body | 10240 | exit |
| 3.1s | 94041× | body | 80 | valid |
| 2.6s | 20589× | body | 320 | valid |
| 1.8s | 62658× | body | 80 | nan |
| 889.0ms | 10649× | body | 160 | valid |
| 568.0ms | 47418× | pre | 80 | true |
| 310.0ms | 662× | body | 1280 | nan |
| 216.0ms | 672× | body | 640 | nan |
| 121.0ms | 433× | body | 5120 | valid |
| 71.0ms | 382× | body | 320 | nan |
| 20.0ms | 187× | body | 160 | nan |
366 calls:
| 2.0s | (log1p (fma (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n)) (fma 0.3333333333333333 (/ 1 (* x n)) (fma 1.0 (/ (log (pow (/ 1 x) -1/3)) n) 1)) (- (* (pow (cbrt x) (/ 1.0 n)) (pow (* (cbrt x) (cbrt x)) (/ 1.0 n)))))) |
| 1.2s | (fma (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n)) (pow (cbrt (+ x 1.0)) (/ 1.0 n)) (- (* (pow (cbrt x) (/ 1.0 n)) (pow (* (cbrt x) (cbrt x)) (/ 1.0 n))))) |
| 1.2s | (- (* (/ (/ (+ (tan x) (tan eps)) (fma (tan x) (tan eps) 1)) (- 1 (* (tan x) (tan eps)))) (+ 1 (* (tan x) (tan eps)))) (tan x)) |
| 942.0ms | (/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (fma 1/6 (pow (* eps a) 3) (fma 1/2 (* (pow a 2) (pow eps 2)) (* a eps))) (- (exp (* b eps)) 1.0))) |
| 795.0ms | (fma (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n)) (fma 0.3333333333333333 (/ 1 (* x n)) (fma 1.0 (/ (log (pow (/ 1 x) -1/3)) n) 1)) (- (* (pow (cbrt x) (/ 1.0 n)) (pow (* (cbrt x) (cbrt x)) (/ 1.0 n))))) |
| 191× | egg-herbie |
| 119× | rewrite-expression-head |
366 calls:
| 605.0ms | (+ (- (cbrt (pow (/ 1.0 (+ x 1.0)) 3)) (/ 2.0 x)) (/ 1.0 (- x 1.0))) |
| 236.0ms | (+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))) |
| 178.0ms | (* (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))) |
| 112.0ms | (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))) |
| 81.0ms | (* (* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cbrt (/ (+ (exp x) (exp (- x))) 2.0))) (* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))) |
| 9743× | *-un-lft-identity |
| 9535× | times-frac |
| 8394× | add-sqr-sqrt |
| 6713× | add-cube-cbrt |
| 3607× | prod-diff |
| 2389× | sqrt-prod |
| 1739× | cbrt-prod |
| 1204× | add-exp-log |
| 903× | distribute-lft-out |
| 852× | add-cbrt-cube |
| 839× | associate-+l+ |
| 783× | unpow-prod-down |
| 748× | associate-*l* |
| 692× | pow1 |
| 682× | associate-*r* |
| 601× | add-log-exp |
| 595× | distribute-lft-out-- |
| 572× | difference-of-squares |
| 513× | div-inv |
| 456× | associate-/r/ |
| 420× | associate-/r* |
| 370× | fma-neg |
| 352× | expm1-log1p-u |
| 350× | log1p-expm1-u |
| 340× | associate-/l* |
| 307× | cube-prod |
| 299× | div-exp |
| 271× | log-prod |
| 263× | prod-exp |
| 235× | unswap-sqr |
| 226× | distribute-rgt-neg-in |
| 224× | flip-- flip3-- |
| 220× | sqr-pow |
| 207× | log-pow |
| 189× | flip-+ flip3-+ |
| 187× | swap-sqr |
| 178× | distribute-lft-neg-in |
| 173× | exp-prod |
| 166× | cbrt-undiv |
| 160× | exp-sum |
| 147× | cbrt-unprod |
| 142× | unpow2 |
| 124× | fma-def |
| 117× | sqrt-div |
| 116× | pow-unpow |
| 102× | sub-neg |
| 101× | diff-log |
| 85× | pow-prod-down |
| 80× | pow-exp tan-quot |
| 77× | associate--l+ |
| 72× | pow-to-exp |
| 68× | associate-*r/ |
| 66× | clear-num frac-2neg |
| 64× | associate-*l/ |
| 62× | neg-mul-1 |
| 60× | sqrt-pow1 |
| 56× | cbrt-div |
| 54× | frac-times |
| 52× | pow1/3 |
| 51× | *-commutative |
| 50× | pow1/2 1-exp rec-exp |
| 49× | associate-/l/ |
| 38× | fma-udef |
| 36× | log-div |
| 35× | distribute-rgt-in distribute-lft-in |
| 34× | pow-flip |
| 29× | associate-+r+ |
| 27× | rem-sqrt-square sum-log |
| 25× | unpow3 cube-mult |
| 24× | complex-mul-def |
| 23× | pow-pow |
| 21× | rem-log-exp |
| 20× | inv-pow div-sub |
| 17× | neg-sub0 |
| 16× | associate--l- +-commutative frac-sub |
| 13× | frac-add |
| 12× | neg-log associate-+l- |
| 10× | pow-div pow-sqr pow-prod-up |
| 9× | rem-exp-log associate--r+ |
| 7× | exp-diff |
| 6× | *.c-commutative sin-mult |
| 5× | cube-div pow-plus un-div-inv |
| 4× | rem-cube-cbrt pow2 +.c-commutative complex-add-def hypot-def exp-to-pow |
| 3× | sqrt-unprod associate-+r- difference-of-sqr-1 cos-mult log-rec |
| 2× | associate-+l+.c expm1-def log1p-udef associate--r- exp-neg log1p-expm1 sub-div associate-*l*.c cos-sum tan-sum rem-cbrt-cube frac-2neg.c sin-sum |
| 1× | sin-cos-mult distribute-rgt-out-- diff-atan diff-cos expm1-log1p unsub-neg expm1-udef diff-sin |
Total 35.4b remaining (15.5%)
Threshold costs 6.5b (2.8%)
| 6.0b | 79% | quadm (p42, negative) |
| 6.0b | 79% | quad2m (problem 3.2.1, negative) |
| 4.9b | 83.1% | quadp (p42, positive) |
| 4.9b | 83.3% | quad2p (problem 3.2.1, positive) |
| 2.9b | 0% | expq3 (problem 3.4.2) |