| 56× | intervals |
| 16× | halfpoints |
| 49.6s | 66726× | body | 1280 | valid |
| 30.9s | 17286× | body | 2560 | valid |
| 17.9s | 41720× | body | 640 | valid |
| 10.3s | 12640× | body | 10240 | exit |
| 8.4s | 93988× | body | 80 | valid |
| 5.5s | 21158× | body | 320 | valid |
| 4.9s | 63102× | body | 80 | nan |
| 2.2s | 10865× | body | 160 | valid |
| 1.5s | 47396× | pre | 80 | true |
| 701.0ms | 708× | body | 1280 | nan |
| 419.0ms | 477× | body | 5120 | valid |
| 377.0ms | 625× | body | 640 | nan |
| 149.0ms | 342× | body | 320 | nan |
| 71.0ms | 194× | body | 160 | nan |
393 calls:
| 750.0ms | (/ 1.0 (* (* (sqrt x) (sqrt (+ x 1.0))) (+ (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0)))) |
| 699.0ms | (log (sqrt (exp (- (pow (+ 1.0 x) (/ 1.0 n)) (exp (* (log x) (/ 1.0 n))))))) |
| 583.0ms | (log (sqrt (exp (- (pow (+ 1.0 x) (/ 1.0 n)) (exp (* (log x) (/ 1.0 n))))))) |
| 524.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) |
| 442.0ms | (- (pow (+ 1.0 x) (/ 1.0 n)) (exp (* (log x) (/ 1.0 n)))) |
| 120× | rewrite-expression-head |
393 calls:
| 2.6s | (- (+ (- (+ (/ 0.5 n) 1.0) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0) |
| 420.0ms | (- (/ (/ (sin x) (cos x)) (- 1 (/ (/ (* (sin x) (sin eps)) (cos eps)) (cos x)))) (/ (sin x) (cos x))) |
| 393.0ms | (- x (sin x)) |
| 377.0ms | (/ (- (log 1.0) (+ (* (* 1/2 (/ x 1.0)) (/ x 1.0)) (* 1.0 x))) (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (+ (* 1.0 x) (log 1.0)))) |
| 376.0ms | (sqrt (- (* b b) (* 4.0 (* a c)))) |
| 3785× | *-un-lft-identity |
| 3623× | add-sqr-sqrt |
| 3472× | times-frac |
| 2489× | add-cube-cbrt |
| 1806× | sqrt-prod |
| 1242× | pow1 |
| 1207× | add-exp-log |
| 1028× | add-cbrt-cube |
| 712× | add-log-exp |
| 684× | associate-*l* |
| 396× | associate-*r* |
| 379× | cbrt-prod |
| 378× | difference-of-squares |
| 333× | distribute-lft-out |
| 332× | distribute-lft-out-- |
| 331× | associate-/l* |
| 327× | prod-exp |
| 303× | associate-/r* |
| 287× | pow-prod-down |
| 269× | cbrt-unprod |
| 235× | log-prod |
| 227× | flip3-- flip-- |
| 191× | div-exp |
| 157× | associate-/r/ |
| 156× | flip-+ flip3-+ |
| 155× | div-inv |
| 146× | log-pow |
| 132× | associate-*l/ |
| 130× | cbrt-undiv |
| 127× | unswap-sqr |
| 124× | sub-neg |
| 123× | distribute-rgt-neg-in |
| 118× | diff-log |
| 115× | sqrt-pow1 sqrt-div |
| 111× | associate-*r/ |
| 105× | pow-prod-up |
| 93× | swap-sqr |
| 91× | pow-unpow |
| 89× | distribute-lft-neg-in |
| 86× | frac-times |
| 82× | *-commutative |
| 69× | pow-sqr |
| 65× | pow1/2 |
| 62× | frac-2neg clear-num |
| 60× | unpow-prod-down |
| 55× | associate-/l/ |
| 54× | sum-log |
| 49× | pow-plus exp-prod |
| 45× | log-div |
| 44× | pow1/3 |
| 42× | distribute-rgt-in distribute-lft-in |
| 38× | associate-+r+ |
| 36× | pow2 |
| 33× | frac-add |
| 31× | +-commutative |
| 30× | sqr-pow rem-sqrt-square |
| 29× | 1-exp rec-exp div-sub |
| 28× | neg-mul-1 |
| 27× | cbrt-div |
| 26× | rem-log-exp |
| 25× | associate-+l+ |
| 23× | pow-flip |
| 17× | associate--l+ |
| 15× | frac-sub |
| 14× | complex-mul-def distribute-neg-in |
| 13× | tan-quot pow3 |
| 12× | neg-sub0 |
| 11× | associate--l- pow-exp pow-to-exp |
| 10× | pow-div associate--r+ pow-pow |
| 9× | exp-sum |
| 8× | associate-+r- neg-log inv-pow |
| 6× | exp-diff difference-cubes exp-to-pow distribute-neg-frac |
| 5× | distribute-frac-neg distribute-rgt-out-- rem-exp-log cos-sum |
| 4× | sqrt-unprod associate-+l- |
| 3× | quot-tan cos-mult *.c-commutative sub-div un-div-inv +.c-commutative sqr-cos |
| 2× | associate-*l*.c sin-sum cube-unmult sin-mult tan-sum rem-cbrt-cube complex-add-def |
| 1× | diff-atan distribute-rgt-neg-out sqr-sin rem-square-sqrt diff-sin associate-+l+.c diff-cos distribute-rgt-out |
Total 43.9b remaining (22.6%)
Threshold costs 5.6b (2.9%)
| 13.9b | 37.4% | expax (section 3.5) |
| 4.7b | 83.7% | quadp (p42, positive) |
| 4.6b | 83.7% | quad2p (problem 3.2.1, positive) |
| 4.6b | 83.6% | quad2m (problem 3.2.1, negative) |
| 4.5b | 83.9% | quadm (p42, negative) |