Details

Time bar (total: 1.3s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms256×pre80true

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0133
1253
2393
3703
41813
56823
624633
750013

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (* x x)) (* x x))
0.1b
(* x (* x x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
7×add-exp-log add-cbrt-cube
5×pow-prod-up
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative pow2 distribute-lft1-in flip3-+ pow-plus cube-unmult associate-*r* sum-log pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 37
Calls
2 calls:
6.0ms
(+ (* x (* x x)) (* x x))
5.0ms
(* x (* x x))

series101.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(+ (* x (* x x)) (* x x))
33.0ms
(* x (* x x))

simplify91.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0158147
1646107
22546106
35002102

prune39.0ms

Filtered
43 candidates to 25 candidates (58.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New42143
Fresh011
Picked011
Done000
Total42345

Merged error: 0b

Counts
45 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ (* x x) x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt associate-*r*
4×*-un-lft-identity
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-rgt-out distribute-lft-in distribute-lft1-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
6.0ms
(* x (+ (* x x) x))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(* x (+ (* x x) x))

simplify105.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0129117
1713102
23504100
3500299

prune30.0ms

Filtered
27 candidates to 18 candidates (66.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New26127
Fresh101
Picked101
Done011
Total28230

Merged error: 0b

Counts
30 → 2

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (* x x) x))
0.0b
(sqrt (+ (* x x) x))
0.1b
(* x (sqrt (+ (* x x) x)))
0.2b
(* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
16×associate-*r*
15×*-un-lft-identity
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times distribute-rgt-out distribute-lft1-in associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
4.0ms
(sqrt (+ (* x x) x))
4.0ms
(sqrt (+ (* x x) x))
7.0ms
(* x (sqrt (+ (* x x) x)))
12.0ms
(* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))

series154.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(sqrt (+ (* x x) x))
24.0ms
(sqrt (+ (* x x) x))
46.0ms
(* x (sqrt (+ (* x x) x)))
59.0ms
(* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))

simplify50.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0313702
11426610
25001600

prune142.0ms

Filtered
103 candidates to 75 candidates (72.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh000
Picked011
Done011
Total1032105

Merged error: 0b

Counts
105 → 2

regimes21.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064
164

end0.0ms

sample334.0ms

Algorithm
intervals
Results
135.0ms8000×body80valid
104.0ms8000×pre80true