Details

Time bar (total: 2.4s)

analyze301.0ms

Algorithm
search

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms21×body80invalid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3514
4584
5644
6814
71124
81594
92734
103704
114284
124504
134654
144654

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x 1.0) z)
0.0b
(+ (* x y) (* (- x 1.0) z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
10.0ms
(* (- x 1.0) z)
7.0ms
(+ (* x y) (* (- x 1.0) z))

series21.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- x 1.0) z)
13.0ms
(+ (* x y) (* (- x 1.0) z))

simplify110.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0187183
1775166
24041166
35001166

prune54.0ms

Filtered
28 candidates to 39 candidates (-39.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New37239
Fresh000
Picked011
Done000
Total37340

Merged error: 0.0b

Counts
40 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series90.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt z) (cbrt z))
20.0ms
(cbrt z)
21.0ms
(cbrt z)
23.0ms
(cbrt z)

simplify73.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune83.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh011
Picked101
Done011
Total85388

Merged error: 0b

Counts
88 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series87.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
21.0ms
(cbrt z)
22.0ms
(cbrt z)
23.0ms
(cbrt z)

simplify127.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (23.0ms)

IterNodesCost
059204
1101188
2205148
3559144
42707128
55001128

prune70.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh011
Picked011
Done011
Total56359

Merged error: 0b

Counts
59 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* (- x 1.0) z))
0.1b
(sqrt (+ (* x y) (* (- x 1.0) z)))
0.1b
(sqrt (+ (* x y) (* (- x 1.0) z)))
0.3b
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
5.0ms
(+ (* x y) (* (- x 1.0) z))
3.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
3.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
10.0ms
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* x y) (* (- x 1.0) z))
18.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
19.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
8.0ms
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0266940
11018860
25001834

prune128.0ms

Filtered
65 candidates to 110 candidates (-69.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done022
Total1103113

Merged error: 0b

Counts
113 → 3

regimes206.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

analyze331.0ms

Algorithm
search

sample417.0ms

Algorithm
intervals
Results
229.0ms8000×body80valid
22.0ms691×body80invalid

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