| 56× | intervals |
| 16× | halfpoints |
| 24.6s | 66750× | body | 1280 | valid |
| 16.8s | 17347× | body | 2560 | valid |
| 8.5s | 42645× | body | 640 | valid |
| 3.9s | 12758× | body | 10240 | exit |
| 2.9s | 93425× | body | 80 | valid |
| 2.6s | 20878× | body | 320 | valid |
| 1.7s | 63396× | body | 80 | nan |
| 874.0ms | 10548× | body | 160 | valid |
| 550.0ms | 47348× | pre | 80 | true |
| 281.0ms | 622× | body | 1280 | nan |
| 198.0ms | 606× | body | 640 | nan |
| 136.0ms | 484× | body | 5120 | valid |
| 65.0ms | 351× | body | 320 | nan |
| 18.0ms | 175× | body | 160 | nan |
365 calls:
| 959.0ms | (expm1 (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) |
| 684.0ms | (/ (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0)))) |
| 658.0ms | (fma (/ (+ (tan x) (tan eps)) (- (* 1 1) (* (/ (* (sin x) (sin eps)) (* (cos eps) (cos x))) (/ (* (sin x) (sin eps)) (* (cos eps) (cos x)))))) (+ 1 (/ (* (sin x) (sin eps)) (* (cos eps) (cos x)))) (- (tan x))) |
| 509.0ms | (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0)))) |
| 444.0ms | (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) |
| 192× | egg-herbie |
| 120× | rewrite-expression-head |
365 calls:
| 336.0ms | (+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))) |
| 296.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (/ (* (sin x) (sin eps)) (* (cos eps) (cos x))))) (tan x)) |
| 116.0ms | (/ (/ (* (/ a (cbrt (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ c (cbrt (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))) (cbrt (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))) a) |
| 109.0ms | (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))) |
| 98.0ms | (/ 1 (* (/ 2.0 (* (/ 4.0 1) c)) (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))))) |
| 8674× | *-un-lft-identity |
| 7974× | add-sqr-sqrt |
| 7136× | times-frac |
| 6014× | add-cube-cbrt |
| 4052× | prod-diff |
| 2405× | sqrt-prod |
| 1391× | add-exp-log |
| 1008× | add-cbrt-cube |
| 896× | unpow-prod-down |
| 781× | difference-of-squares |
| 687× | distribute-lft-out |
| 634× | distribute-lft-out-- |
| 627× | pow1 |
| 621× | add-log-exp |
| 531× | fma-neg |
| 499× | log-prod |
| 446× | associate-/l* |
| 438× | associate-*r* |
| 414× | div-inv |
| 400× | associate-/r/ |
| 384× | prod-exp |
| 368× | cube-prod |
| 367× | associate-*l* |
| 351× | sqr-pow |
| 350× | expm1-log1p-u |
| 349× | log1p-expm1-u |
| 346× | associate-/r* |
| 340× | distribute-rgt-neg-in |
| 329× | div-exp |
| 275× | cbrt-prod |
| 270× | distribute-lft-neg-in |
| 251× | flip-- flip3-- associate-+l+ |
| 235× | unswap-sqr |
| 226× | cbrt-unprod |
| 220× | cbrt-undiv |
| 170× | sqrt-div |
| 144× | flip-+ flip3-+ |
| 134× | unpow2 |
| 113× | diff-log |
| 104× | sqrt-pow1 |
| 101× | sub-neg |
| 93× | pow-exp |
| 92× | pow-to-exp |
| 81× | pow-unpow |
| 80× | pow1/2 neg-mul-1 |
| 74× | associate-/l/ |
| 73× | log-pow |
| 72× | unpow3 cube-mult |
| 70× | frac-2neg clear-num |
| 69× | pow-prod-down |
| 68× | fma-def |
| 54× | associate-*r/ |
| 46× | *-commutative associate-*l/ swap-sqr |
| 42× | 1-exp |
| 39× | rec-exp |
| 38× | rem-log-exp |
| 37× | rem-sqrt-square |
| 36× | fma-udef |
| 33× | frac-times |
| 30× | log-div |
| 29× | tan-quot |
| 27× | associate-+r+ sum-log |
| 24× | complex-mul-def |
| 22× | pow-prod-up |
| 21× | pow-flip div-sub frac-sub |
| 20× | neg-sub0 |
| 18× | exp-prod |
| 17× | +-commutative cbrt-div |
| 16× | inv-pow pow1/3 exp-sum |
| 15× | associate--l- |
| 14× | pow-sqr pow-pow |
| 13× | neg-log |
| 12× | distribute-rgt-in distribute-lft-in |
| 11× | cos-mult |
| 10× | frac-add expm1-udef associate--l+ |
| 8× | associate--r- sub-div |
| 7× | sin-mult |
| 6× | cube-div difference-cubes sqrt-unprod pow2 pow-plus hypot-def *.c-commutative associate-+l- |
| 5× | distribute-rgt-out-- |
| 4× | rem-cube-cbrt sqrt-undiv sum-cubes associate-+r- +.c-commutative associate--r+ complex-add-def log-rec |
| 3× | rem-exp-log exp-diff unpow-prod-up difference-of-sqr-1 rem-square-sqrt |
| 2× | expm1-def log1p-udef frac-2neg.c exp-neg sin-sum log1p-expm1 pow-sub expm1-log1p associate-*l*.c sqr-cos tan-sum cos-sum associate-+l+.c pow-neg |
| 1× | sin-cos-mult sqrt-pow2 e-exp-1 un-div-inv diff-atan diff-cos distribute-frac-neg distribute-rgt-out diff-sin exp-to-pow rem-cbrt-cube |
Total 29.3b remaining (10.8%)
Threshold costs 6.7b (2.5%)
| 4.9b | 82.6% | quad2m (problem 3.2.1, negative) |
| 4.9b | 82.7% | quadm (p42, negative) |
| 4.4b | 49.5% | expq3 (problem 3.4.2) |
| 4.4b | 83.5% | quad2p (problem 3.2.1, positive) |
| 1.6b | 81.5% | 2nthrt (problem 3.4.6) |