| 56× | intervals |
| 16× | halfpoints |
| 30.7s | 67691× | body | 1280 | valid |
| 19.7s | 17547× | body | 2560 | valid |
| 11.6s | 41768× | body | 640 | valid |
| 5.2s | 93846× | body | 80 | valid |
| 3.7s | 20352× | body | 320 | valid |
| 2.9s | 62612× | body | 80 | nan |
| 1.3s | 10543× | body | 160 | valid |
| 777.0ms | 13293× | body | 80 | overflowed |
| 759.0ms | 47569× | pre | 80 | true |
| 607.0ms | 654× | body | 1280 | nan |
| 280.0ms | 632× | body | 640 | nan |
| 199.0ms | 431× | body | 5120 | valid |
| 97.0ms | 362× | body | 320 | nan |
| 32.0ms | 193× | body | 160 | nan |
386 calls:
| 1.5s | (- (* (/ (+ (tan x) (tan eps)) (- 1 (pow (* (tan x) (tan eps)) 3))) (+ (* 1 1) (+ (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* 1 (* (tan x) (tan eps)))))) (tan x)) |
| 1.4s | (- (fma 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))))) (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2)))))) |
| 1.3s | (- (+ (+ (/ (* (pow (sin x) 2) (pow (sin eps) 3)) (* (pow (cos x) 2) (* (- 1 (/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3)))) (pow (cos eps) 3)))) (* (/ (pow (sin eps) 2) (* (- 1 (/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3)))) (pow (cos eps) 2))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (sin x) (* (- 1 (/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3)))) (cos x)))) (/ (sin x) (cos x))) |
| 1.0s | (cbrt (fma 0.0021164021164021165 (pow x 5) (* 0.3333333333333333 x))) |
| 970.0ms | (cbrt (* (cbrt (fma 0.0021164021164021165 (pow x 5) (* 0.3333333333333333 x))) (cbrt (fma 0.0021164021164021165 (pow x 5) (* 0.3333333333333333 x))))) |
| 194× | egg-herbie |
| 122× | rewrite-expression-head |
386 calls:
| 2.4s | (- (+ (+ (/ (* (pow (sin x) 2) (pow (sin eps) 3)) (* (pow (cos x) 2) (* (- 1 (/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3)))) (pow (cos eps) 3)))) (* (/ (pow (sin eps) 2) (* (- 1 (/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3)))) (pow (cos eps) 2))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (sin x) (* (- 1 (/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3)))) (cos x)))) (/ (sin x) (cos x))) |
| 232.0ms | (+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))) |
| 135.0ms | (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) |
| 98.0ms | (log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))) |
| 83.0ms | (- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3)) |
| 10741× | *-un-lft-identity |
| 9611× | add-sqr-sqrt |
| 9333× | times-frac |
| 7042× | add-cube-cbrt |
| 4677× | prod-diff |
| 1964× | sqrt-prod |
| 1396× | unpow-prod-down |
| 1354× | add-exp-log |
| 1111× | difference-of-squares |
| 992× | add-cbrt-cube |
| 941× | distribute-lft-out-- |
| 938× | distribute-lft-out |
| 859× | cbrt-prod |
| 735× | pow1 |
| 673× | associate-*l* |
| 668× | cube-prod |
| 649× | associate-/l* |
| 648× | add-log-exp |
| 528× | fma-neg |
| 520× | div-inv |
| 497× | sqr-pow |
| 439× | associate-/r/ |
| 378× | distribute-rgt-neg-in |
| 373× | associate-/r* |
| 372× | log1p-expm1-u |
| 371× | expm1-log1p-u |
| 354× | div-exp |
| 341× | associate-*r* |
| 315× | prod-exp |
| 281× | flip-- flip3-- |
| 247× | associate-+l+ |
| 246× | unswap-sqr |
| 224× | flip-+ flip3-+ |
| 219× | cbrt-undiv |
| 195× | distribute-lft-neg-in |
| 194× | log-prod |
| 173× | cbrt-unprod |
| 127× | associate-*l/ |
| 120× | diff-log cbrt-div sqrt-pow1 |
| 116× | unpow3 cube-mult |
| 114× | pow-unpow sub-neg |
| 110× | swap-sqr |
| 107× | pow-prod-down |
| 103× | sqrt-div |
| 100× | log-pow |
| 97× | exp-sum |
| 90× | fma-def frac-times |
| 86× | pow-exp |
| 85× | pow1/2 |
| 82× | pow-to-exp |
| 77× | frac-add log-div |
| 75× | associate-*r/ |
| 72× | tan-quot |
| 70× | unpow2 |
| 69× | exp-prod frac-2neg clear-num |
| 68× | associate-/l/ |
| 65× | neg-mul-1 |
| 56× | *-commutative |
| 54× | pow-prod-up |
| 43× | 1-exp |
| 42× | pow1/3 |
| 40× | fma-udef rec-exp |
| 34× | distribute-rgt-in distribute-lft-in |
| 28× | rem-sqrt-square div-sub |
| 27× | frac-sub |
| 24× | pow-pow pow-sqr sum-log complex-mul-def |
| 18× | associate--r- |
| 17× | associate-+r+ |
| 15× | neg-sub0 associate--l+ |
| 14× | associate--l- +-commutative |
| 13× | cube-div rem-cube-cbrt pow-plus rem-log-exp |
| 11× | neg-log |
| 10× | pow-flip |
| 9× | associate--r+ |
| 8× | difference-cubes inv-pow |
| 7× | sqrt-unprod |
| 6× | exp-diff pow2 *.c-commutative associate-+l- |
| 4× | pow-div log1p-udef log1p-expm1 +.c-commutative complex-add-def expm1-udef |
| 3× | sin-cos-mult un-div-inv associate-+r- expm1-log1p rem-exp-log sin-mult cos-mult distribute-rgt-out-- |
| 2× | associate-+l+.c expm1-def exp-neg sub-div difference-of-sqr-1 rem-square-sqrt associate-*l*.c cos-sum tan-sum rem-cbrt-cube frac-2neg.c exp-to-pow sin-sum |
| 1× | diff-atan diff-cos distribute-frac-neg distribute-rgt-neg-out diff-sin log-rec |
Total 26.1b remaining (10.8%)
Threshold costs 5.7b (2.4%)
| 5.8b | 31.2% | expq3 (problem 3.4.2) |
| 4.6b | 83.7% | quad2m (problem 3.2.1, negative) |
| 4.6b | 83.9% | quadm (p42, negative) |
| 1.4b | 82.9% | 2nthrt (problem 3.4.6) |
| 1.4b | 94.2% | quad2p (problem 3.2.1, positive) |