Details

Time bar (total: 2.2s)

sample14.0ms

Algorithm
intervals
Results
6.0ms343×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
197
2127
3137
done137

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x x) y)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
3.0ms
(+ (* x x) y)

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(+ (* x x) y)

simplify1.8s

Counts
14 → 14
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
028124
182121
2267101
3469101
4967101
52381101
done5001101

prune30.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (- y (* x x)))
0.8b
(+ (* y (- y (* x x))) (pow x 4))
0.9b
(+ (pow x 6) (pow y 3))
40.5b
(/ (+ (pow x 6) (pow y 3)) (+ (* y (- y (* x x))) (pow x 4)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
18×add-sqr-sqrt
15×add-cube-cbrt
12×times-frac
add-exp-log add-cbrt-cube add-log-exp
pow1
distribute-lft-out
distribute-rgt-in sub-neg associate-+l+ distribute-lft-in flip3-+ associate-*r* flip-+ associate-/l*
associate-*l* associate-/r*
+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
cbrt-undiv flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv difference-of-squares unswap-sqr
Counts
4 → 87
Calls
4 calls:
8.0ms
(* y (- y (* x x)))
7.0ms
(+ (* y (- y (* x x))) (pow x 4))
10.0ms
(+ (pow x 6) (pow y 3))
41.0ms
(/ (+ (pow x 6) (pow y 3)) (+ (* y (- y (* x x))) (pow x 4)))

series246.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* y (- y (* x x)))
57.0ms
(+ (* y (- y (* x x))) (pow x 4))
57.0ms
(+ (pow x 6) (pow y 3))
81.0ms
(/ (+ (pow x 6) (pow y 3)) (+ (* y (- y (* x x))) (pow x 4)))

simplify28.0ms

Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
01391824