| 56× | intervals |
| 16× | halfpoints |
| 49.4s | 66434× | body | 1280 | valid |
| 30.9s | 17570× | body | 2560 | valid |
| 17.9s | 42331× | body | 640 | valid |
| 9.9s | 12514× | body | 10240 | exit |
| 8.7s | 94134× | body | 80 | valid |
| 5.6s | 20864× | body | 320 | valid |
| 5.0s | 63446× | body | 80 | nan |
| 2.1s | 10327× | body | 160 | valid |
| 1.5s | 47417× | pre | 80 | true |
| 599.0ms | 671× | body | 1280 | nan |
| 430.0ms | 663× | body | 640 | nan |
| 322.0ms | 492× | body | 5120 | valid |
| 168.0ms | 377× | body | 320 | nan |
| 36.0ms | 198× | body | 160 | nan |
373 calls:
| 2.3s | (/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma (* (* eps b) (* eps b)) 1/2 (fma 1/6 (* eps (* (* (* eps b) (* eps b)) b)) (* eps b))))) |
| 1.6s | (fma (* (cbrt (pow (+ x 1.0) (/ 1.0 n))) (cbrt (pow (+ x 1.0) (/ 1.0 n)))) (cbrt (pow (+ x 1.0) (/ 1.0 n))) (- (* (pow (cbrt x) (/ 1.0 n)) (pow (* (cbrt x) (cbrt x)) (/ 1.0 n))))) |
| 1.2s | (fma (- (pow (cbrt x) (/ 1.0 n))) (pow (* (cbrt x) (cbrt x)) (/ 1.0 n)) (* (pow (cbrt x) (/ 1.0 n)) (pow (* (cbrt x) (cbrt x)) (/ 1.0 n)))) |
| 1.2s | (expm1 (log1p (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) |
| 1.2s | (fma (* (cbrt (pow (+ x 1.0) (/ 1.0 n))) (cbrt (pow (+ x 1.0) (/ 1.0 n)))) (cbrt (pow (+ x 1.0) (/ 1.0 n))) (- (* (pow (cbrt x) (/ 1.0 n)) (pow (* (cbrt x) (cbrt x)) (/ 1.0 n))))) |
| 120× | rewrite-expression-head |
373 calls:
| 496.0ms | (- (/ (/ (sin x) (cos x)) (- 1 (/ (sin x) (/ (* (cos eps) (cos x)) (sin eps))))) (/ (sin x) (cos x))) |
| 472.0ms | (/ (- (* (/ (* (sqrt 1.0) (/ (sqrt 1.0) (sqrt (cbrt x)))) (fabs (cbrt x))) (/ (* (sqrt 1.0) (/ (sqrt 1.0) (sqrt (cbrt x)))) (fabs (cbrt x)))) (* (/ 1.0 (sqrt (+ x 1.0))) (/ 1.0 (sqrt (+ x 1.0))))) (+ (/ (* (sqrt 1.0) (/ (sqrt 1.0) (sqrt (cbrt x)))) (fabs (cbrt x))) (/ 1.0 (sqrt (+ x 1.0))))) |
| 384.0ms | (tan (+ x eps)) |
| 367.0ms | (+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))) |
| 324.0ms | (/ (- (* (/ (* (sqrt 1.0) (/ (sqrt 1.0) (sqrt (cbrt x)))) (fabs (cbrt x))) (/ (* (sqrt 1.0) (/ (sqrt 1.0) (sqrt (cbrt x)))) (fabs (cbrt x)))) (* (/ 1.0 (sqrt (+ x 1.0))) (/ 1.0 (sqrt (+ x 1.0))))) (+ (/ (* (sqrt 1.0) (/ (sqrt 1.0) (sqrt (cbrt x)))) (fabs (cbrt (* (* (cbrt x) (cbrt x)) (cbrt x))))) (/ 1.0 (sqrt (+ x 1.0))))) |
| 10884× | times-frac |
| 10523× | add-sqr-sqrt |
| 10270× | *-un-lft-identity |
| 7703× | add-cube-cbrt |
| 5557× | prod-diff |
| 2395× | sqrt-prod |
| 1287× | difference-of-squares |
| 1226× | add-exp-log |
| 1106× | add-cbrt-cube |
| 998× | pow1 |
| 759× | div-inv |
| 694× | associate-*l* |
| 668× | distribute-lft-out-- |
| 614× | add-log-exp |
| 560× | fma-neg |
| 448× | distribute-lft-out |
| 400× | associate-/r/ |
| 372× | associate-/l* |
| 363× | log1p-expm1-u |
| 362× | expm1-log1p-u |
| 344× | prod-exp |
| 305× | cbrt-unprod |
| 281× | flip3-- flip-- |
| 263× | distribute-rgt-in distribute-lft-in |
| 257× | associate-*r* |
| 251× | unpow-prod-down |
| 248× | associate-/r* |
| 243× | associate-+l+ |
| 242× | pow-prod-down |
| 237× | cbrt-prod |
| 222× | div-exp |
| 180× | cbrt-undiv |
| 174× | flip-+ flip3-+ |
| 169× | log-prod |
| 162× | distribute-rgt-neg-in |
| 150× | associate-*l/ |
| 140× | cube-prod |
| 136× | distribute-lft-neg-in |
| 130× | sqrt-div |
| 112× | frac-times |
| 111× | fma-def |
| 107× | diff-log |
| 105× | sub-neg |
| 104× | cbrt-div |
| 94× | sqr-pow |
| 93× | unswap-sqr |
| 84× | associate-/l/ |
| 82× | associate-*r/ |
| 76× | sqrt-pow1 pow-prod-up |
| 70× | frac-2neg clear-num |
| 69× | log-pow |
| 63× | pow-unpow |
| 59× | *-commutative |
| 53× | frac-sub |
| 50× | swap-sqr |
| 48× | pow1/3 pow1/2 |
| 44× | neg-mul-1 |
| 41× | fma-udef |
| 40× | associate-+r+ |
| 38× | pow-plus pow-sqr |
| 34× | unpow3 cube-mult |
| 27× | div-sub |
| 26× | tan-quot |
| 25× | associate--l+ pow2 |
| 24× | rem-sqrt-square |
| 23× | sum-log |
| 21× | log-div |
| 19× | pow-flip 1-exp rec-exp |
| 17× | rem-log-exp |
| 15× | +-commutative |
| 14× | complex-mul-def |
| 13× | exp-prod frac-add |
| 12× | pow-div |
| 11× | associate--l- |
| 9× | pow-exp |
| 8× | neg-sub0 neg-log associate--r+ distribute-neg-in |
| 7× | pow-pow pow-to-exp |
| 6× | distribute-rgt-out-- exp-sum unpow-prod-up |
| 5× | cos-mult distribute-rgt-neg-out sub-div inv-pow exp-to-pow distribute-neg-frac rem-exp-log sin-mult |
| 4× | quot-tan hypot-def log1p-udef |
| 3× | expm1-log1p expm1-udef associate-+r- cube-unmult *.c-commutative distribute-frac-neg +.c-commutative un-div-inv associate-+l- difference-cubes |
| 2× | sin-sum sin-cos-mult log1p-expm1 pow3 frac-2neg.c tan-sum associate-*l*.c cos-sum unsub-neg e-exp-1 complex-add-def |
| 1× | diff-atan rem-cube-cbrt sqrt-unprod rem-square-sqrt diff-sin sqr-cos +-inverses associate-+l+.c diff-cos |
Total 24.1b remaining (15.1%)
Threshold costs 6.0b (3.8%)
| 4.7b | 83.9% | quadp (p42, positive) |
| 4.4b | 84.5% | quad2p (problem 3.2.1, positive) |
| 4.0b | 86.1% | quad2m (problem 3.2.1, negative) |
| 2.4b | 74.1% | 2nthrt (problem 3.4.6) |
| 1.6b | 84.3% | 2cos (problem 3.3.5) |