Details

Time bar (total: 2.2s)

sample50.0ms

Algorithm
intervals
Results
29.0ms256×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (187.0ms)

IterNodesCost
044173
1132173
2504109
3207779
done500079

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.9b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.1049934947 (* x x))
0.4b
(* (* x x) 0.0008327945)
0.4b
(* (* x x) 0.0001789971)
28.4b
(/ (* (+ (+ (* (pow (* x x) 4) (+ (* (* x x) 0.0001789971) 0.0005064034)) (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182))) (* (pow x 4) 0.0424060604)) x) (+ (+ (* (* 2.0 0.0001789971) (pow (* x x) 6)) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (+ (* (pow x 6) 0.0694555761) (* (pow (* x x) 4) (+ 0.0140005442 (* (* x x) 0.0008327945))))))

rewrite430.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log add-cbrt-cube
19×pow1
13×*-un-lft-identity
12×add-sqr-sqrt
10×prod-exp cbrt-unprod
add-cube-cbrt pow-prod-down
associate-*r*
flip3-+ associate-/r/ flip-+
associate-*l*
times-frac frac-add associate-/r* add-log-exp
*-commutative unswap-sqr
cbrt-undiv div-exp associate-*l/ associate-/l/ distribute-lft-out
frac-2neg clear-num div-inv associate-/l*
Counts
4 → 88
Calls
4 calls:
6.0ms
(* 0.1049934947 (* x x))
8.0ms
(* (* x x) 0.0008327945)
7.0ms
(* (* x x) 0.0001789971)
406.0ms
(/ (* (+ (+ (* (pow (* x x) 4) (+ (* (* x x) 0.0001789971) 0.0005064034)) (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182))) (* (pow x 4) 0.0424060604)) x) (+ (+ (* (* 2.0 0.0001789971) (pow (* x x) 6)) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (+ (* (pow x 6) 0.0694555761) (* (pow (* x x) 4) (+ 0.0140005442 (* (* x x) 0.0008327945))))))

series342.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 0.1049934947 (* x x))
24.0ms
(* (* x x) 0.0008327945)
25.0ms
(* (* x x) 0.0001789971)
266.0ms
(/ (* (+ (+ (* (pow (* x x) 4) (+ (* (* x x) 0.0001789971) 0.0005064034)) (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182))) (* (pow x 4) 0.0424060604)) x) (+ (+ (* (* 2.0 0.0001789971) (pow (* x x) 6)) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (+ (* (pow x 6) 0.0694555761) (* (pow (* x x) 4) (+ 0.0140005442 (* (* x x) 0.0008327945))))))

simplify249.0ms

Iterations

Useful iterations: 1 (57.0ms)

IterNodesCost
02344171
17564053