Details

Time bar (total: 4.6s)

sample41.0ms

Algorithm
intervals
Results
13.0ms239×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: 19.8b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

1.6b
(+ (+ (* x y) (* x z)) (* y z))
1.8b
(+ (* x y) (* x z))
18.7b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite16.0ms

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:
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
4.0ms
(+ (* x y) (* x z))
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series161.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(+ (+ (* x y) (* x z)) (* y z))
33.0ms
(+ (* x y) (* x z))
107.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify115.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0249355
1908322
23660314
35001314

prune112.0ms

Filtered
49 candidates to 37 candidates (75.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New46349
Fresh000
Picked011
Done000
Total46450

Merged error: 19.7b

Counts
50 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

1.8b
(+ (* x y) (* x z))
1.8b
(+ (* x y) (* x z))
19.2b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.2b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite18.0ms

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 cbrt-div flip3-+ add-cbrt-cube flip-+
2×+-commutative pow1/3 sum-log distribute-lft-out
Counts
4 → 50
Calls
4 calls:
4.0ms
(+ (* x y) (* x z))
4.0ms
(+ (* x y) (* x z))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series460.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (* x y) (* x z))
31.0ms
(+ (* x y) (* x z))
200.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
198.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify80.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0223484
1722448
22508426
35001422

prune209.0ms

Filtered
62 candidates to 54 candidates (87.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New60262
Fresh022
Picked011
Done011
Total60666

Merged error: 19.7b

Counts
66 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

15.0b
(cbrt (+ (* x y) (* x z)))
15.0b
(cbrt (+ (* x y) (* x z)))
19.2b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.2b
(cbrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
2×distribute-lft-out
Counts
4 → 54
Calls
4 calls:
3.0ms
(cbrt (+ (* x y) (* x z)))
3.0ms
(cbrt (+ (* x y) (* x z)))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
18.0ms
(cbrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

series621.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(cbrt (+ (* x y) (* x z)))
109.0ms
(cbrt (+ (* x y) (* x z)))
199.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
203.0ms
(cbrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

simplify106.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0287867
1844564
22954534
35001526

prune298.0ms

Filtered
66 candidates to 65 candidates (98.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh033
Picked011
Done022
Total66672

Merged error: 19.7b

Counts
72 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

1.8b
(+ (* x y) (* x z))
4.7b
(exp (log (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
19.2b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.2b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div log-prod exp-sum add-log-exp
5×pow1 exp-prod
4×add-exp-log flip3-+ add-cbrt-cube flip-+
3×pow1/3
2×log-div exp-diff log-pow
1×+-commutative sum-log rem-exp-log distribute-lft-out
Counts
4 → 59
Calls
4 calls:
4.0ms
(+ (* x y) (* x z))
7.0ms
(exp (log (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series657.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (* x y) (* x z))
211.0ms
(exp (log (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
209.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
206.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify93.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0265662
1780618
22581569
35002555

prune251.0ms

Filtered
71 candidates to 62 candidates (87.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New71071
Fresh022
Picked011
Done033
Total71677

Merged error: 19.7b

Counts
77 → 6

regimes192.0ms

Accuracy

0% (0.0b remaining)

Error of 19.7b against oracle of 19.7b and baseline of 19.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample1.1s

Algorithm
intervals
Results
380.0ms8000×body80valid
358.0ms7906×body80nan

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