| 56× | intervals |
| 16× | halfpoints |
| 48.8s | 66810× | body | 1280 | valid |
| 31.2s | 17396× | body | 2560 | valid |
| 19.2s | 41741× | body | 640 | valid |
| 10.8s | 12737× | body | 10240 | exit |
| 8.7s | 93751× | body | 80 | valid |
| 7.1s | 21173× | body | 320 | valid |
| 5.9s | 63286× | body | 80 | nan |
| 2.4s | 10876× | body | 160 | valid |
| 1.7s | 47298× | pre | 80 | true |
| 573.0ms | 623× | body | 1280 | nan |
| 361.0ms | 675× | body | 640 | nan |
| 271.0ms | 415× | body | 5120 | valid |
| 133.0ms | 397× | body | 320 | nan |
| 35.0ms | 196× | body | 160 | nan |
400 calls:
| 2.6s | (- (* (/ (+ (tan eps) (tan x)) (- 1 (* (* (/ (tan x) (/ (cos eps) (sin eps))) (/ (tan x) (/ (cos eps) (sin eps)))) (/ (tan x) (/ (cos eps) (sin eps)))))) (+ (* 1 1) (+ (* (/ (* (tan x) (sin eps)) (cos eps)) (/ (* (tan x) (sin eps)) (cos eps))) (* 1 (/ (* (tan x) (sin eps)) (cos eps)))))) (tan x)) |
| 1.3s | (/ (- (* (exp (* a x)) (sqrt (exp (* a x)))) (* (sqrt 1.0) 1.0)) (+ (exp (* a x)) (+ 1.0 (* (sqrt 1.0) (sqrt (exp (* a x))))))) |
| 1.2s | (* (/ eps (+ (+ (* (* (* a eps) (* (* a eps) (* a eps))) 1/6) (* 1/2 (* (* a eps) (* a eps)))) (* a eps))) (/ (- (exp (* (+ a b) eps)) 1.0) (- (exp (* b eps)) 1.0))) |
| 1.2s | (log (* (cbrt (exp (* (* x x) 0.022222222222222223))) (cbrt (exp (* (* x x) 0.022222222222222223))))) |
| 1.1s | (/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (+ (+ (* (* (* a (* a a)) (* eps (* eps eps))) 1/6) (* (* (* eps a) (* eps a)) 1/2)) (* eps a)) (- (exp (* b eps)) 1.0))) |
| 123× | rewrite-expression-head |
400 calls:
| 4.6s | (* (/ eps (+ (+ (* (* (* a eps) (* (* a eps) (* a eps))) 1/6) (* 1/2 (* (* a eps) (* a eps)))) (* a eps))) (/ (- (exp (* (+ a b) eps)) 1.0) (- (exp (* b eps)) 1.0))) |
| 2.4s | (- (+ (- (+ (/ 0.5 n) 1.0) (/ 0.16666666666666669 (* n n))) (* 1.0 (log n))) 1.0) |
| 2.1s | (/ eps (+ (+ (* (* (* a eps) (* (* a eps) (* a eps))) 1/6) (* 1/2 (* (* a eps) (* a eps)))) (* a eps))) |
| 1.4s | (/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (+ (+ (* (* (* a (* a a)) (* eps (* eps eps))) 1/6) (* (* (* eps a) (* eps a)) 1/2)) (* eps a)) (- (exp (* b eps)) 1.0))) |
| 1.0s | (/ (+ (* (* eps eps) eps) (* (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (* (/ eps 1.0) (/ eps 1.0)))) (+ (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (- (* eps eps) (* (* (/ eps 1.0) (/ eps 1.0)) eps)))) |
| 4410× | *-un-lft-identity |
| 3587× | times-frac |
| 3529× | add-sqr-sqrt |
| 2445× | add-cube-cbrt |
| 1749× | pow1 |
| 1699× | add-exp-log |
| 1671× | add-cbrt-cube |
| 1138× | sqrt-prod |
| 779× | distribute-lft-out |
| 728× | add-log-exp |
| 593× | prod-exp |
| 574× | cbrt-unprod |
| 542× | associate-*l/ |
| 434× | pow-prod-down |
| 410× | difference-of-squares |
| 387× | associate-*r* |
| 382× | associate-/l* |
| 366× | associate-/r* |
| 353× | div-exp |
| 344× | associate-*l* |
| 339× | cbrt-undiv |
| 313× | associate-/r/ |
| 310× | log-prod |
| 307× | pow-prod-up |
| 303× | distribute-lft-out-- |
| 297× | flip-- |
| 296× | flip3-- |
| 271× | frac-times |
| 268× | flip-+ |
| 267× | flip3-+ |
| 257× | associate-*r/ |
| 250× | div-inv |
| 235× | cbrt-prod |
| 181× | frac-add pow-sqr |
| 151× | pow-plus |
| 146× | frac-sub |
| 142× | exp-prod |
| 134× | associate-/l/ |
| 129× | unpow-prod-down |
| 122× | swap-sqr |
| 116× | diff-log |
| 113× | unswap-sqr |
| 105× | sub-neg |
| 101× | log-pow |
| 95× | pow2 |
| 92× | distribute-rgt-neg-in |
| 81× | associate-+r+ |
| 76× | sqr-pow |
| 75× | frac-2neg clear-num |
| 73× | distribute-lft-neg-in |
| 72× | *-commutative |
| 68× | sqrt-div |
| 60× | sum-log sqrt-pow1 |
| 58× | exp-sum |
| 56× | pow-unpow |
| 55× | pow1/3 |
| 53× | pow3 |
| 43× | cbrt-div |
| 42× | pow1/2 |
| 38× | +-commutative |
| 36× | log-div |
| 33× | div-sub |
| 30× | associate-+l+ rem-sqrt-square |
| 27× | tan-quot |
| 24× | neg-mul-1 |
| 23× | difference-cubes |
| 22× | cube-unmult |
| 21× | distribute-rgt-in distribute-lft-in |
| 20× | rem-log-exp associate--l+ |
| 15× | cube-prod |
| 14× | complex-mul-def |
| 13× | neg-sub0 |
| 12× | exp-to-pow associate-+l- |
| 11× | associate--r+ sum-cubes |
| 10× | associate--l- |
| 9× | pow-exp pow-to-exp sqr-cos |
| 7× | exp-diff cos-mult 1-exp rec-exp sin-mult |
| 6× | neg-log pow-pow distribute-rgt-out-- |
| 5× | associate-+r- pow-flip |
| 4× | distribute-frac-neg distribute-neg-frac |
| 3× | quot-tan exp-neg *.c-commutative un-div-inv +.c-commutative cos-sum distribute-rgt-out |
| 2× | associate-*l*.c sin-sum sub-div rem-exp-log complex-add-def tan-sum rem-cbrt-cube distribute-neg-in associate--r- |
| 1× | diff-atan unsub-neg rem-cube-cbrt distribute-rgt-neg-out cube-mult unpow3 sqrt-unprod frac-2neg.c inv-pow +-inverses rem-square-sqrt diff-sin associate-+l+.c diff-cos count-2 cos-2 |
Total 20.6b remaining (16.5%)
Threshold costs 7.2b (5.7%)
| 4.2b | 85.5% | quad2p (problem 3.2.1, positive) |
| 4.2b | 85.5% | quadp (p42, positive) |
| 2.6b | 90.1% | quad2m (problem 3.2.1, negative) |
| 1.3b | 85.4% | 2nthrt (problem 3.4.6) |
| 1.1b | 95.6% | quadm (p42, negative) |