Details

Time bar (total: 4.7s)

sample23.0ms

Algorithm
intervals
Results
11.0ms257×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09165
113165
217165
done17165

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b
(* (/ 841.0 108.0) x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×*-un-lft-identity times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
4×pow1 add-log-exp
3×associate-*r*
2×associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down frac-add *-commutative flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
13.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
12.0ms
(* (/ 841.0 108.0) x)

series74.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
29.0ms
(* (/ 841.0 108.0) x)

simplify3.3s

Counts
50 → 50
Iterations

Useful iterations: 2 (265.0ms)

IterNodesCost
0979211
12468589
27838308
330428308
done50048308

prune201.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.1b
(* (cbrt (/ 841.0 108.0)) x)
0.4b
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
1.0b
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
79×cbrt-prod
76×add-sqr-sqrt
52×times-frac
45×*-un-lft-identity add-cube-cbrt
33×associate-*l*
29×cbrt-div
25×pow1
20×associate-*r* associate-*l/ add-exp-log
16×swap-sqr
12×unswap-sqr
11×frac-times add-cbrt-cube pow-prod-down
10×prod-exp cbrt-unprod
7×frac-add associate-*r/
6×pow1/3 add-log-exp
5×div-inv
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 +-commutative sum-log flip3-+ pow-plus flip-+
Counts
4 → 159
Calls
4 calls:
48.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
13.0ms
(* (cbrt (/ 841.0 108.0)) x)
49.0ms
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
29.0ms
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series394.0ms

Counts
4 → 10
Calls
4 calls:
191.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
78.0ms
(* (cbrt (/ 841.0 108.0)) x)
124.0ms
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
0.0ms
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify523.0ms

Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
023554209