Details

Time bar (total: 2.5s)

sample23.0ms

Algorithm
intervals
Results
10.0ms314×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1423
2823
31263
41383
51403
61403

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (+ z 1.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×flip3-+ flip-+
5×add-sqr-sqrt
4×frac-times associate-*r* associate-*l*
3×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
2×associate-*r/ associate-*l/ distribute-lft-out
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 30
Calls
1 calls:
8.0ms
(* (+ x y) (+ z 1.0))

series32.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* (+ x y) (+ z 1.0))

simplify33.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0265187
11154173
25002173

prune64.0ms

Filtered
33 candidates to 24 candidates (72.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New30333
Fresh000
Picked101
Done000
Total31334

Merged error: 0.0b

Counts
34 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* z (+ x y)) (* 1.0 (+ x y)))
0.0b
(* z (+ x y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r/
6×add-sqr-sqrt *-un-lft-identity flip3-+ flip-+
4×pow1 add-exp-log add-cube-cbrt associate-*r* frac-add add-cbrt-cube add-log-exp
3×distribute-rgt-in distribute-lft-in associate-*l*
2×associate-+l+ associate-+r+
1×+-commutative distribute-rgt-out pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
7.0ms
(+ (* z (+ x y)) (* 1.0 (+ x y)))
6.0ms
(* z (+ x y))

series63.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* z (+ x y)) (* 1.0 (+ x y)))
24.0ms
(* z (+ x y))

simplify44.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318305
11544270
25002270

prune73.0ms

Filtered
49 candidates to 36 candidates (73.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New49049
Fresh022
Picked011
Done000
Total49352

Merged error: 0.0b

Counts
52 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ z 1.0))
0.0b
(sqrt (+ z 1.0))
0.1b
(* (+ x y) (sqrt (+ z 1.0)))
0.1b
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
35×flip3-+ flip-+
32×frac-times
21×*-un-lft-identity
17×add-sqr-sqrt sqrt-prod
16×associate-*l/
14×associate-*r*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
5×associate-*l* distribute-lft-out
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 112
Calls
4 calls:
3.0ms
(sqrt (+ z 1.0))
5.0ms
(sqrt (+ z 1.0))
9.0ms
(* (+ x y) (sqrt (+ z 1.0)))
14.0ms
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

series152.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(sqrt (+ z 1.0))
28.0ms
(sqrt (+ z 1.0))
67.0ms
(* (+ x y) (sqrt (+ z 1.0)))
29.0ms
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04761032
11755920
25002908

prune229.0ms

Filtered
124 candidates to 85 candidates (68.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1231124
Fresh011
Picked011
Done011
Total1234127

Merged error: 0b

Counts
127 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (+ z 1.0)))
0.1b
(* (+ x y) (sqrt (+ z 1.0)))
0.1b
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))))
0.1b
(* (* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0)))) (sqrt (sqrt (+ z 1.0))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
334×sqrt-div
168×frac-times
142×flip3-+ flip-+
84×associate-*l/
39×sqrt-prod
36×associate-*r/
27×associate-*r*
25×*-un-lft-identity
22×pow1
21×add-sqr-sqrt
20×add-exp-log add-cbrt-cube
15×add-cube-cbrt
10×pow-prod-down prod-exp cbrt-unprod
6×associate-*l*
5×distribute-lft-out
4×sqrt-pow1 add-log-exp
3×*-commutative
2×rem-sqrt-square pow1/2 unswap-sqr
Counts
4 → 213
Calls
4 calls:
4.0ms
(sqrt (sqrt (+ z 1.0)))
9.0ms
(* (+ x y) (sqrt (+ z 1.0)))
16.0ms
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))))
24.0ms
(* (* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0)))) (sqrt (sqrt (+ z 1.0))))

series316.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(sqrt (sqrt (+ z 1.0)))
64.0ms
(* (+ x y) (sqrt (+ z 1.0)))
134.0ms
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))))
36.0ms
(* (* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0)))) (sqrt (sqrt (+ z 1.0))))

simplify111.0ms

Algorithm
egg-herbie
Counts
225 → 225
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
010683586
140423136
250013067

prune639.0ms

Filtered
225 candidates to 155 candidates (68.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2250225
Fresh011
Picked011
Done022
Total2254229

Merged error: 0b

Counts
229 → 4

regimes93.0ms

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
0125
1125

end0.0ms

sample408.0ms

Algorithm
intervals
Results
215.0ms10191×body80valid
0.0ms2×body640valid
0.0ms2×body320valid