Details

Time bar (total: 4.1s)

analyze622.0ms

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
3.1%90.5%6.3%6
4.7%85.9%9.5%7
21.1%64%14.9%8
23.4%58.9%17.7%9
27.7%51.3%21%10
28.9%48.5%22.6%11
31.1%44.4%24.5%12
31.7%42.9%25.4%13
32.7%41%26.3%14

sample69.0ms

Algorithm
intervals
Results
26.0ms47×body1280valid
13.0ms40×body640valid
8.0ms133×body80valid
5.0ms26×body320valid
2.0ms7×body640invalid
1.0ms10×body160valid
1.0ms6×body320invalid
0.0ms4×body160invalid
0.0ms1×body1280invalid
0.0ms7×body80invalid
0.0ms1×body80nan

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049859
149859

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 9.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (pow (/ x (+ x y)) x) x)
0.0b
(/ x (+ x y))
4.9b
(pow (/ x (+ x y)) x)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
118×*-un-lft-identity
90×unpow-prod-down
80×add-sqr-sqrt add-cube-cbrt
25×associate-/l*
19×distribute-lft-out
16×add-exp-log
12×associate-/r/
7×div-exp associate-/r* add-cbrt-cube div-inv
6×flip3-+ flip-+
5×sqr-pow
4×pow1 pow-exp
3×pow-unpow add-log-exp
2×cbrt-undiv pow-to-exp frac-2neg clear-num
1×pow-pow
Counts
3 → 172
Calls
3 calls:
10.0ms
(/ (pow (/ x (+ x y)) x) x)
5.0ms
(/ x (+ x y))
7.0ms
(pow (/ x (+ x y)) x)

series46.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ (pow (/ x (+ x y)) x) x)
5.0ms
(/ x (+ x y))
18.0ms
(pow (/ x (+ x y)) x)

simplify66.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050112849

prune206.0ms

Filtered
134 candidates to 181 candidates (-35.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1756181
Fresh000
Picked101
Done000
Total1766182

Merged error: 1.2b

Counts
182 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(pow (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) x)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
12×pow1
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-pow
5×pow-exp
4×div-exp prod-exp add-cbrt-cube add-log-exp
3×pow-unpow pow1/3
1×pow2 pow-to-exp unpow-prod-down pow-plus pow-prod-down pow-sqr pow-prod-up sqr-pow
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
18.0ms
(pow (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) x)

series101.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
24.0ms
(cbrt x)
35.0ms
(pow (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) x)

simplify42.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05034693

prune99.0ms

Filtered
46 candidates to 69 candidates (-50.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New68169
Fresh235
Picked101
Done000
Total71475

Merged error: 1.2b

Counts
75 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt x)
0.6b
(cbrt x)
3.2b
(log (/ (cbrt x) (cbrt (+ x y))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
48×log-prod *-un-lft-identity
42×times-frac
34×add-sqr-sqrt add-cube-cbrt
7×add-exp-log distribute-lft-out
5×pow1
4×cbrt-div add-cbrt-cube add-log-exp
3×pow1/3
2×flip3-+ rem-log-exp associate-/r/ flip-+
1×log-div div-exp log-pow div-inv
Counts
4 → 95
Calls
4 calls:
3.0ms
(cbrt (+ x y))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
8.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

series96.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (+ x y))
20.0ms
(cbrt x)
21.0ms
(cbrt x)
25.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

simplify57.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
054361144

prune137.0ms

Filtered
73 candidates to 107 candidates (-46.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1070107
Fresh033
Picked011
Done000
Total1074111

Merged error: 1.2b

Counts
111 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
4.9b
(pow (/ x (+ x y)) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
18×unpow-prod-down
16×add-sqr-sqrt add-cube-cbrt
12×times-frac
9×cbrt-prod
7×add-exp-log
5×pow1
4×add-cbrt-cube add-log-exp
3×pow-unpow pow1/3 distribute-lft-out
2×pow-exp associate-/r/
1×pow-to-exp pow-pow flip3-+ div-exp flip-+ div-inv sqr-pow
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(pow (/ x (+ x y)) x)

series82.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
23.0ms
(cbrt x)
17.0ms
(pow (/ x (+ x y)) x)

simplify48.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04995738
14995738

prune81.0ms

Filtered
56 candidates to 78 candidates (-39.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New75378
Fresh112
Picked011
Done011
Total76682

Merged error: 1.2b

Counts
82 → 6

regimes125.0ms

Accuracy

15% (4.3b remaining)

Error of 5.1b against oracle of 0.8b and baseline of 5.9b

bsearch78.0ms

Steps
ItersRangePoint
7
4.06323783685381e+88
2.250509623038569e+90
1.6006945835005084e+89
7
11.430071321822863
427.30593907576656
285.81500652502143

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03245
13245

end0.0ms

sample1.9s

Algorithm
intervals
Results
729.0ms1423×body1280valid
381.0ms1213×body640valid
247.0ms4378×body80valid
132.0ms636×body320valid
73.0ms241×body640invalid
46.0ms350×body160valid
44.0ms98×body1280invalid
31.0ms147×body320invalid
13.0ms105×body160invalid
10.0ms161×body80invalid
8.0ms181×body80nan

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