Details

Time bar (total: 2.2s)

sample10.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2122
3132
4132

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
3×sum-log distribute-lft-out
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
1 → 15
Calls
1 calls:
5.0ms
(+ (+ x y) x)

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(+ (+ x y) x)

simplify100.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
08265
124160
285458
3453553
4500253

prune26.0ms

Filtered
18 candidates to 10 candidates (55.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319

Merged error: 0.0b

Counts
19 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
0.5b
(cbrt (+ (+ x y) x))
0.5b
(cbrt (+ (+ x y) x))
0.5b
(cbrt (+ (+ x y) x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
14.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
5.0ms
(cbrt (+ (+ x y) x))
5.0ms
(cbrt (+ (+ x y) x))
5.0ms
(cbrt (+ (+ x y) x))

series836.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
197.0ms
(cbrt (+ (+ x y) x))
198.0ms
(cbrt (+ (+ x y) x))
197.0ms
(cbrt (+ (+ x y) x))

simplify46.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0280982
11048931
25001832

prune227.0ms

Filtered
117 candidates to 75 candidates (64.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1161117
Fresh011
Picked011
Done011
Total1164120

Merged error: 0.0b

Counts
120 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ x y) x)
21.1b
(/ (* y (+ (+ x y) x)) y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
7×add-exp-log add-cbrt-cube add-log-exp
4×add-sqr-sqrt add-cube-cbrt
3×times-frac associate-/r* sum-log distribute-lft-out
2×pow1 cbrt-undiv flip3-+ associate-*r/ div-exp flip-+ associate-/l/
1×+-commutative associate-+l+ frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
2 → 38
Calls
2 calls:
5.0ms
(+ (+ x y) x)
8.0ms
(/ (* y (+ (+ x y) x)) y)

series51.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (+ x y) x)
25.0ms
(/ (* y (+ (+ x y) x)) y)

simplify111.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0195215
1989182
24815156
35001156

prune64.0ms

Filtered
44 candidates to 27 candidates (61.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New43144
Fresh011
Picked011
Done022
Total43548

Merged error: 0.0b

Counts
48 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ (+ x y) x))
0.0b
(+ (+ x y) x)
6.7b
(/ y (/ y (+ (+ x y) x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
156×*-un-lft-identity
138×times-frac
71×add-sqr-sqrt add-cube-cbrt
51×distribute-lft-out
26×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×add-log-exp
6×flip3-+ flip-+ div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 sum-log
2×frac-2neg clear-num
1×+-commutative associate-+l+
Counts
3 → 154
Calls
3 calls:
7.0ms
(/ y (+ (+ x y) x))
5.0ms
(+ (+ x y) x)
10.0ms
(/ y (/ y (+ (+ x y) x)))

series98.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ y (+ (+ x y) x))
21.0ms
(+ (+ x y) x)
30.0ms
(/ y (/ y (+ (+ x y) x)))

simplify74.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04181212
119541031
250011029

prune228.0ms

Filtered
163 candidates to 94 candidates (57.7%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1621163
Fresh101
Picked101
Done303
Total1671168

Merged error: 0b

Counts
168 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072
172

end0.0ms

sample229.0ms

Algorithm
intervals
Results
110.0ms8005×body80valid