Details

Time bar (total: 3.9s)

sample41.0ms

Algorithm
intervals
Results
13.0ms277×body80nan
12.0ms256×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0217
1337
2427
3447
4447

prune3.0ms

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: 19.2b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(+ (* x y) (* x z))
0.4b
(+ (+ (* x y) (* x z)) (* y z))
18.1b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
5×add-sqr-sqrt
4×pow1 add-cube-cbrt *-un-lft-identity sum-log
3×add-exp-log flip3-+ sqrt-prod add-cbrt-cube flip-+
2×+-commutative sqrt-div
1×rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 distribute-lft-out
Counts
3 → 40
Calls
3 calls:
4.0ms
(+ (* x y) (* x z))
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
6.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series171.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (* x y) (* x z))
26.0ms
(+ (+ (* x y) (* x z)) (* y z))
113.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify111.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0249355
1908322
23660314
35001314

prune122.0ms

Filtered
49 candidates to 37 candidates (75.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New42749
Fresh000
Picked101
Done000
Total43750

Merged error: 19.1b

Counts
50 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ y z))
0.4b
(+ (* x (+ y z)) (* y z))
18.1b
(sqrt (+ (* x (+ y z)) (* y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×*-un-lft-identity
6×pow1 add-cube-cbrt
5×add-exp-log add-cbrt-cube add-log-exp
4×associate-*r*
3×flip3-+ associate-*l* sqrt-prod flip-+
2×distribute-rgt-in associate-+l+ distribute-lft-in sqrt-div associate-*r/
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 51
Calls
3 calls:
6.0ms
(* x (+ y z))
6.0ms
(+ (* x (+ y z)) (* y z))
6.0ms
(sqrt (+ (* x (+ y z)) (* y z)))

series161.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* x (+ y z))
21.0ms
(+ (* x (+ y z)) (* y z))
115.0ms
(sqrt (+ (* x (+ y z)) (* y z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0274329
11112304
25001300

prune132.0ms

Filtered
60 candidates to 42 candidates (70.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New54660
Fresh516
Picked011
Done000
Total59867

Merged error: 19.1b

Counts
67 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
18.1b
(sqrt (+ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))) (* y z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×pow1
4×add-exp-log add-cbrt-cube add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
12.0ms
(sqrt (+ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))) (* y z)))

series700.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
184.0ms
(cbrt x)
191.0ms
(cbrt x)
144.0ms
(sqrt (+ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))) (* y z)))

simplify146.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0184369
1646344
23728335
35001335

prune169.0ms

Filtered
60 candidates to 52 candidates (86.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New60060
Fresh066
Picked011
Done011
Total60868

Merged error: 19.1b

Counts
68 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(+ (* x (+ y z)) (* y z))
0.4b
(+ (* x (+ y z)) (* y z))
18.7b
(cbrt (+ (* x (+ y z)) (* y z)))
18.7b
(cbrt (+ (* x (+ y z)) (* y z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
8×add-log-exp
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log associate-+l+ cbrt-div flip3-+ add-cbrt-cube flip-+
2×+-commutative distribute-rgt-in distribute-lft-in pow1/3 sum-log
Counts
4 → 52
Calls
4 calls:
7.0ms
(+ (* x (+ y z)) (* y z))
6.0ms
(+ (* x (+ y z)) (* y z))
6.0ms
(cbrt (+ (* x (+ y z)) (* y z)))
6.0ms
(cbrt (+ (* x (+ y z)) (* y z)))

series472.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (* x (+ y z)) (* y z))
21.0ms
(+ (* x (+ y z)) (* y z))
214.0ms
(cbrt (+ (* x (+ y z)) (* y z)))
215.0ms
(cbrt (+ (* x (+ y z)) (* y z)))

simplify80.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0195508
1583468
22526450
35002446

prune200.0ms

Filtered
64 candidates to 56 candidates (87.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New61364
Fresh145
Picked011
Done022
Total621072

Merged error: 19.1b

Counts
72 → 10

regimes125.0ms

Accuracy

0% (0.1b remaining)

Error of 20.2b against oracle of 20.1b and baseline of 20.2b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample1.1s

Algorithm
intervals
Results
392.0ms8000×body80valid
383.0ms8129×body80nan

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