Details

Time bar (total: 2.9s)

analyze559.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 32.520818%

Guaranteed chance to sample good point: 83.851156%

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms8×body80invalid

simplify273.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
0157
1256
2374
3474
4564
5894
61584
72084
82214
93164
106464
1131854
1250034

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
5.0ms
(+ (+ (* x y) (* z z)) (* z z))
3.0ms
(+ (* x y) (* z z))
8.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series35.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (+ (* x y) (* z z)) (* z z))
9.0ms
(+ (* x y) (* z z))
12.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify123.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
0215352
1978316
23975293
35001282

prune63.0ms

Filtered
34 candidates to 47 candidates (-38.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New41647
Fresh000
Picked101
Done000
Total42648

Merged error: 0.1b

Counts
48 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
6×flip3-+ flip-+
4×associate-*r/ frac-add sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity add-cbrt-cube
1×distribute-rgt-in associate-+l+ distribute-lft-in
Counts
2 → 30
Calls
2 calls:
3.0ms
(+ (* x y) (* z z))
7.0ms
(+ (+ (* x y) (* z z)) (* z (+ z z)))

series21.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (* x y) (* z z))
12.0ms
(+ (+ (* x y) (* z z)) (* z (+ z z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0273338
11324281
25002254

prune56.0ms

Filtered
27 candidates to 36 candidates (-33.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New32436
Fresh325
Picked011
Done000
Total35742

Merged error: 0.0b

Counts
42 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* (* 3 z) z))
0.2b
(* (* 3 z) z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
3.0ms
(+ (* x y) (* (* 3 z) z))
7.0ms
(* (* 3 z) z)

series14.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (* x y) (* (* 3 z) z))
3.0ms
(* (* 3 z) z)

simplify163.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (159.0ms)

IterNodesCost
0175161
1822145
24320140
35001139

prune45.0ms

Filtered
22 candidates to 35 candidates (-59.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New33235
Fresh325
Picked011
Done101
Total37542

Merged error: 0.0b

Counts
42 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3 z) z)
0.3b
(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
20.9b
(sqrt (* (* 3 z) z))
20.9b
(sqrt (* (* 3 z) z))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
5.0ms
(* (* 3 z) z)
12.0ms
(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
4.0ms
(sqrt (* (* 3 z) z))
4.0ms
(sqrt (* (* 3 z) z))

series17.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3 z) z)
7.0ms
(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
3.0ms
(sqrt (* (* 3 z) z))
4.0ms
(sqrt (* (* 3 z) z))

simplify46.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0178365
1984307
25002269

prune95.0ms

Filtered
52 candidates to 120 candidates (-130.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1191120
Fresh033
Picked011
Done011
Total1196125

Merged error: 0.0b

Counts
125 → 6

regimes273.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1124

end0.0ms

analyze556.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 32.520818%

Guaranteed chance to sample good point: 83.851156%

sample402.0ms

Algorithm
intervals
Results
234.0ms8000×body80valid
7.0ms238×body80invalid

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