Details

Time bar (total: 7.1s)

sample38.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms278×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0217
1337
2427
3447
4447

prune2.0ms

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: 20.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

1.0b
(+ (* x y) (* x z))
1.6b
(+ (+ (* x y) (* x z)) (* y z))
19.0b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite23.0ms

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:
9.0ms
(+ (* x y) (* x z))
8.0ms
(+ (+ (* x y) (* x z)) (* y z))
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (* x y) (* x z))
19.0ms
(+ (+ (* x y) (* x z)) (* y z))
112.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify125.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0249356
1908323
23660315
35001315

prune123.0ms

Filtered
49 candidates to 38 candidates (77.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New45449
Fresh000
Picked011
Done000
Total45550

Merged error: 20.0b

Counts
50 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (+ (* x y) (* x z)) (* y z))
1.6b
(+ (+ (* x y) (* x z)) (* y z))
19.0b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.0b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×add-log-exp
8×add-sqr-sqrt
6×pow1 add-cube-cbrt *-un-lft-identity sum-log sqrt-prod
4×add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
2×+-commutative rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2
Counts
4 → 56
Calls
4 calls:
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
6.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series260.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (+ (* x y) (* x z)) (* y z))
19.0ms
(+ (+ (* x y) (* x z)) (* y z))
112.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
108.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify92.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0186576
1666520
22872508
35001508

prune205.0ms

Filtered
68 candidates to 52 candidates (76.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New66268
Fresh123
Picked011
Done011
Total67673

Merged error: 20.0b

Counts
73 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (+ (* x y) (* x z)) (* y z))
19.0b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.6b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.6b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×pow1
4×add-exp-log cbrt-div flip3-+ add-cbrt-cube flip-+
3×sum-log sqrt-prod
2×pow1/3 sqrt-div
1×+-commutative rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
7.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series3.5s

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (+ (* x y) (* x z)) (* y z))
112.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
219.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
3.2s
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify109.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0258639
1812585
23241561
35002556

prune262.0ms

Filtered
66 candidates to 57 candidates (86.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh033
Picked011
Done022
Total66672

Merged error: 20.0b

Counts
72 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

19.0b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.0b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.0b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.0b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
4×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 60
Calls
4 calls:
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series448.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
108.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
123.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
108.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify71.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0141668
1472620
21729608
35002596

prune250.0ms

Filtered
72 candidates to 60 candidates (83.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New72072
Fresh022
Picked011
Done033
Total72678

Merged error: 20.0b

Counts
78 → 6

regimes177.0ms

Accuracy

0% (0.1b remaining)

Error of 20.3b against oracle of 20.2b and baseline of 20.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample1.0s

Algorithm
intervals
Results
354.0ms8000×body80valid
342.0ms8001×body80nan

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