Details

Time bar (total: 1.9s)

analyze284.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
6.2%93.6%0.1%6
15.6%84.3%0.1%7
29.6%70.2%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms16×body80invalid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
03459
13459

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
4.0ms
(+ (* x y) (* (- 1.0 x) z))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(+ (* x y) (* (- 1.0 x) z))

simplify41.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04770183
14770183

prune25.0ms

Filtered
10 candidates to 14 candidates (-40.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12214
Fresh000
Picked011
Done000
Total12315

Merged error: 0.0b

Counts
15 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
0.6b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b
(cbrt (+ (* x y) (* (- 1.0 x) z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
10.0ms
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
4.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))

series197.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
44.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
42.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
44.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))

simplify81.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049351739
149351739

prune185.0ms

Filtered
74 candidates to 99 candidates (-33.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done011
Total993102

Merged error: 0.0b

Counts
102 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

2.6b
(+ (* x (* x (* y y))) (* (- 1.0 x) (* z (* z (- x 1.0)))))
2.8b
(* x (* x (* y y)))
7.7b
(* x (* y y))
26.9b
(/ (+ (* x (* x (* y y))) (* (- 1.0 x) (* z (* z (- x 1.0))))) (+ (* x y) (* z (- x 1.0))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
18×pow1
15×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×distribute-rgt-in distribute-lft-in
9×times-frac pow-prod-down prod-exp cbrt-unprod
8×sub-neg associate-+r+
6×associate-*l* add-log-exp
3×flip3-+ associate-/r* flip-+ associate-/l*
2×associate-*r* associate-/r/ *-commutative associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv unswap-sqr
Counts
4 → 90
Calls
4 calls:
10.0ms
(+ (* x (* x (* y y))) (* (- 1.0 x) (* z (* z (- x 1.0)))))
7.0ms
(* x (* x (* y y)))
5.0ms
(* x (* y y))
15.0ms
(/ (+ (* x (* x (* y y))) (* (- 1.0 x) (* z (* z (- x 1.0))))) (+ (* x y) (* z (- x 1.0))))

series82.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* x (* x (* y y))) (* (- 1.0 x) (* z (* z (- x 1.0)))))
6.0ms
(* x (* x (* y y)))
6.0ms
(* x (* y y))
42.0ms
(/ (+ (* x (* x (* y y))) (* (- 1.0 x) (* z (* z (- x 1.0))))) (+ (* x y) (* z (- x 1.0))))

simplify47.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050342005

prune122.0ms

Filtered
71 candidates to 102 candidates (-43.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1011102
Fresh000
Picked101
Done112
Total1032105

Merged error: 0b

Counts
105 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt sub-neg add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/
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 → 37
Calls
2 calls:
6.0ms
(* x (- y z))
3.0ms
(+ z (* x (- y z)))

series14.0ms

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

simplify62.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04956327
14956327

prune34.0ms

Filtered
29 candidates to 43 candidates (-48.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New43043
Fresh000
Picked011
Done011
Total43245

Merged error: 0b

Counts
45 → 2

regimes156.0ms

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 (1.0ms)

IterNodesCost
0219
1219

end0.0ms

sample406.0ms

Algorithm
intervals
Results
220.0ms8000×body80valid
18.0ms697×body80invalid

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