| 56× | intervals |
| 16× | halfpoints |
| 23.9s | 66479× | body | 1280 | valid |
| 17.3s | 17648× | body | 2560 | valid |
| 8.3s | 41957× | body | 640 | valid |
| 3.7s | 12572× | body | 10240 | exit |
| 2.9s | 94057× | body | 80 | valid |
| 2.5s | 20613× | body | 320 | valid |
| 1.6s | 63188× | body | 80 | nan |
| 868.0ms | 10858× | body | 160 | valid |
| 572.0ms | 47437× | pre | 80 | true |
| 299.0ms | 653× | body | 1280 | nan |
| 223.0ms | 694× | body | 640 | nan |
| 117.0ms | 460× | body | 5120 | valid |
| 65.0ms | 360× | body | 320 | nan |
| 22.0ms | 203× | body | 160 | nan |
371 calls:
| 1.5s | (/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma (* 1/6 (pow b 3)) (pow eps 3) (* b (+ eps (* (* 1/2 (pow eps 2)) b)))))) |
| 1.3s | (- (fma (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow (cos eps) 3))) (/ (pow (sin eps) 3) (- 1 (pow (/ (* (sin x) (sin eps)) (* (cos eps) (cos x))) 3))) (+ (fma (/ (/ (pow (sin eps) 2) (- 1 (pow (/ (* (sin x) (sin eps)) (* (cos eps) (cos x))) 3))) (pow (cos eps) 2)) (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) (/ (sin x) (* (- 1 (pow (/ (* (sin x) (sin eps)) (* (cos eps) (cos x))) 3)) (cos x)))) (/ (/ (sin eps) (cos eps)) (- 1 (pow (/ (* (sin x) (sin eps)) (* (cos eps) (cos x))) 3))))) (/ (sin x) (cos x))) |
| 954.0ms | (fma (/ (+ (tan x) (tan eps)) (- (pow 1 3) (pow (* (tan x) (tan eps)) 3))) (+ (* 1 1) (+ (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* 1 (* (tan x) (tan eps))))) (- (tan x))) |
| 806.0ms | (expm1 (log1p (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))) |
| 606.0ms | (fma (cbrt (fma 2.0 (+ (exp x) 2.0) (exp (+ x x)))) (cbrt (fma 2.0 (+ (exp x) 2.0) (exp (+ x x)))) (* (* (* (cbrt (- (pow (exp x) 3) (pow 2.0 3))) (cbrt (- (exp x) 2.0))) (cbrt (- (pow (exp x) 3) (pow 2.0 3)))) (exp x))) |
| 122× | rewrite-expression-head |
371 calls:
| 5.2s | (+ (+ (- (pow (/ (cbrt 1.0) (cbrt (+ x 1.0))) 3) (/ 2.0 x)) 0) (/ 1.0 (- x 1.0))) |
| 1.5s | (* (cbrt (+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))) (cbrt (+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))))) |
| 524.0ms | (/ (- (/ (/ 1 b) b) (/ (/ 1 a) a)) (- (/ 1 b) (/ 1 a))) |
| 471.0ms | (* (cbrt (/ (- 1.0) (/ (+ x 1.0) 1.0))) (cbrt (/ (- 1.0) (/ (+ x 1.0) 1.0)))) |
| 362.0ms | (+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))) |
| 20681× | times-frac |
| 16487× | *-un-lft-identity |
| 16360× | add-sqr-sqrt |
| 11233× | add-cube-cbrt |
| 6204× | prod-diff |
| 2279× | cbrt-prod |
| 1923× | difference-of-squares |
| 1517× | sqrt-prod |
| 1437× | div-inv |
| 1370× | add-exp-log |
| 1150× | distribute-lft-out-- |
| 1136× | distribute-lft-out |
| 960× | add-cbrt-cube |
| 956× | associate-+l+ |
| 695× | unpow-prod-down pow1 |
| 658× | distribute-rgt-neg-in |
| 606× | distribute-lft-neg-in |
| 602× | associate-*l* |
| 593× | add-log-exp |
| 541× | associate-/l* |
| 536× | associate-*r* |
| 504× | fma-neg |
| 476× | associate-/r/ |
| 420× | cube-prod |
| 378× | prod-exp |
| 362× | expm1-log1p-u |
| 359× | log1p-expm1-u |
| 351× | log-pow |
| 341× | swap-sqr |
| 321× | exp-prod div-exp |
| 317× | associate-/r* |
| 314× | flip-- flip3-- |
| 313× | pow-unpow |
| 253× | log-prod |
| 243× | sqr-pow |
| 209× | cbrt-div |
| 202× | neg-mul-1 |
| 194× | cbrt-unprod |
| 191× | cbrt-undiv |
| 182× | flip-+ flip3-+ |
| 146× | unswap-sqr |
| 130× | frac-times |
| 108× | frac-add |
| 102× | associate-*l/ |
| 98× | sub-neg |
| 97× | sqrt-div |
| 96× | fma-def |
| 95× | diff-log pow-prod-down |
| 88× | associate-*r/ |
| 69× | associate-/l/ |
| 67× | frac-2neg clear-num |
| 65× | tan-quot |
| 64× | sqrt-pow1 |
| 59× | pow1/2 rec-exp 1-exp |
| 58× | distribute-rgt-in pow1/3 distribute-lft-in |
| 51× | *-commutative exp-sum |
| 46× | unpow3 cube-mult |
| 40× | pow-exp |
| 37× | pow-to-exp div-sub unpow2 |
| 35× | rem-sqrt-square |
| 34× | exp-diff |
| 33× | fma-udef |
| 31× | neg-sub0 |
| 28× | exp-neg |
| 27× | frac-sub |
| 26× | sum-log |
| 23× | pow-pow log-div |
| 22× | pow-prod-up |
| 21× | pow-flip rem-log-exp |
| 18× | pow-sqr |
| 16× | +-commutative associate--l+ |
| 13× | difference-cubes complex-mul-def |
| 11× | rem-cube-cbrt inv-pow |
| 9× | cube-div |
| 8× | pow-plus |
| 7× | pow2 associate-+l- |
| 6× | associate--r+ |
| 5× | associate--l- sqrt-unprod hypot-def |
| 4× | pow-div un-div-inv rem-exp-log log1p-udef log1p-expm1 *.c-commutative |
| 3× | +.c-commutative distribute-rgt-out-- sin-sum |
| 2× | cos-sum sin-cos-mult expm1-log1p expm1-udef complex-add-def rem-square-sqrt distribute-frac-neg quot-tan neg-log sin-mult tan-sum rem-cbrt-cube |
| 1× | associate-+l+.c pow3 diff-atan sub-div diff-cos associate-*l*.c frac-2neg.c diff-sin log-rec |
Total 24.4b remaining (18.9%)
Threshold costs 6.5b (5.1%)
| 4.9b | 82.7% | quadp (p42, positive) |
| 4.9b | 82.9% | quad2p (problem 3.2.1, positive) |
| 3.2b | 0% | expq3 (problem 3.4.2) |
| 1.4b | 84.4% | 2nthrt (problem 3.4.6) |
| 1.4b | 91% | 2tan (problem 3.3.2) |