Details

Time bar (total: 3.6s)

analyze481.0ms

Algorithm
search

sample20.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0136
1206
2226
3226

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 43.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x x) (* y y)) (* z z))
0.0b
(+ (* x x) (* y y))
40.0b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-sqr-sqrt
pow1 add-cube-cbrt *-un-lft-identity sum-log
add-exp-log flip3-+ sqrt-prod add-cbrt-cube flip-+
+-commutative sqrt-div
rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2
Counts
3 → 39
Calls
3 calls:
5.0ms
(+ (+ (* x x) (* y y)) (* z z))
3.0ms
(+ (* x x) (* y y))
5.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (+ (* x x) (* y y)) (* z z))
5.0ms
(+ (* x x) (* y y))
19.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify85.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0209340
1959320
23316316
35001315

prune67.0ms

Filtered
37 candidates to 48 candidates (-29.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New44448
Fresh000
Picked011
Done000
Total44549

Merged error: 21.7b

Counts
49 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (* x x) (* y y)) (* z z))
0.0b
(+ (* x x) (* y y))
40.0b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))
46.8b
(cbrt (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-log-exp
10×add-cube-cbrt *-un-lft-identity
sqrt-prod
unpow-prod-down cube-prod
pow1
add-exp-log flip3-+ sqrt-div sum-log add-cbrt-cube flip-+
+-commutative cube-div cbrt-div
cube-mult rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 pow1/3 unpow3 rem-cbrt-cube sqr-pow
Counts
4 → 68
Calls
4 calls:
6.0ms
(+ (+ (* x x) (* y y)) (* z z))
4.0ms
(+ (* x x) (* y y))
7.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))
6.0ms
(cbrt (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3))

series52.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (+ (* x x) (* y y)) (* z z))
5.0ms
(+ (* x x) (* y y))
18.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))
19.0ms
(cbrt (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3))

simplify38.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0307634
11369616
25001611

prune97.0ms

Filtered
51 candidates to 80 candidates (-56.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New78280
Fresh033
Picked011
Done011
Total78785

Merged error: 21.7b

Counts
85 → 7

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune12.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New000
Fresh044
Picked011
Done022
Total077

Merged error: 21.7b

Counts
7 → 7

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done033
Total077

Merged error: 21.7b

Counts
7 → 7

regimes819.0ms

Accuracy

56.2% (8.7b remaining)

Error of 26.9b against oracle of 18.3b and baseline of 38.1b

bsearch780.0ms

Steps
ItersRangePoint
7
3.566430608186679e+61
1.303499267556118e+63
1.2867961313598703e+63
7
9.980760730181184e-282
6.557039564967008e-280
1.0143191331303366e-281
9
-7.667316359721379e-243
-1.7189331222788475e-249
-2.1288430309751974e-249
4
-4.158534279579905e+95
-2.3138287555193205e+95
-3.81464981654203e+95

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02713
12713

end0.0ms

analyze485.0ms

Algorithm
search

sample515.0ms

Algorithm
intervals
Results
355.0ms8000×body80valid

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