Details

Time bar (total: 4.2s)

sample73.0ms

Algorithm
intervals
Results
21.0ms43×body1280valid
13.0ms45×body640valid
8.0ms162×body80valid
6.0ms31×body320valid
3.0ms89×body80nan
2.0ms14×body160valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049859
149859

prune7.0ms

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: 11.5b

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))
6.8b
(pow (/ x (+ x y)) x)

rewrite34.0ms

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:
12.0ms
(/ (pow (/ x (+ x y)) x) x)
5.0ms
(/ x (+ x y))
7.0ms
(pow (/ x (+ x y)) x)

series50.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (pow (/ x (+ x y)) x) x)
6.0ms
(/ x (+ x y))
18.0ms
(pow (/ x (+ x y)) x)

simplify77.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
050112849

prune210.0ms

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: 0.4b

Counts
182 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
1.0b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.9b
(pow (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) x)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
53×cbrt-prod
51×*-un-lft-identity
49×unpow-prod-down
42×times-frac
35×add-sqr-sqrt add-cube-cbrt
20×add-exp-log
13×pow1
8×distribute-lft-out
7×pow-pow pow-exp
6×pow-unpow cbrt-div
5×div-exp
4×prod-exp add-cbrt-cube add-log-exp
3×flip3-+ flip-+
2×pow-to-exp pow1/3 associate-/r/ sqr-pow
1×pow2 pow-plus pow-prod-down pow-sqr pow-prod-up div-inv
Counts
4 → 115
Calls
4 calls:
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
12.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
19.0ms
(pow (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) x)

series134.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(cbrt (+ x y))
32.0ms
(cbrt (+ x y))
27.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
41.0ms
(pow (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) x)

simplify80.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049282147
149282147

prune175.0ms

Filtered
86 candidates to 127 candidates (-47.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1261127
Fresh235
Picked101
Done000
Total1294133

Merged error: 0.4b

Counts
133 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
1.0b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.0b
(pow (/ (cbrt x) (cbrt (+ x y))) (* x 2))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
98×cbrt-prod
96×unpow-prod-down
89×*-un-lft-identity
84×times-frac
61×add-sqr-sqrt add-cube-cbrt
14×distribute-lft-out
10×add-exp-log
8×cbrt-div
6×pow1
4×pow-unpow flip3-+ pow-exp associate-/r/ add-cbrt-cube flip-+ add-log-exp
2×pow-to-exp pow-pow pow1/3 div-exp div-inv sqr-pow
Counts
4 → 152
Calls
4 calls:
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
12.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
12.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) (* x 2))

series125.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(cbrt (+ x y))
32.0ms
(cbrt (+ x y))
27.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
32.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) (* x 2))

simplify92.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049833147
149833147

prune230.0ms

Filtered
111 candidates to 164 candidates (-47.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1640164
Fresh033
Picked011
Done000
Total1644168

Merged error: 0.4b

Counts
168 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ (pow (/ x (+ x y)) x) x))
6.8b
(pow (/ x (+ x y)) x)
6.8b
(pow (/ x (+ x y)) x)
6.8b
(pow (/ x (+ x y)) x)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
117×*-un-lft-identity
108×unpow-prod-down
81×add-sqr-sqrt add-cube-cbrt
70×cbrt-prod
18×distribute-lft-out
13×add-exp-log
12×associate-/r/
9×pow-unpow
7×pow1 div-inv
6×flip3-+ pow-exp flip-+ sqr-pow
4×add-cbrt-cube add-log-exp
3×pow-to-exp pow-pow div-exp
1×cbrt-div pow1/3
Counts
4 → 178
Calls
4 calls:
12.0ms
(cbrt (/ (pow (/ x (+ x y)) x) x))
7.0ms
(pow (/ x (+ x y)) x)
7.0ms
(pow (/ x (+ x y)) x)
7.0ms
(pow (/ x (+ x y)) x)

series101.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (/ (pow (/ x (+ x y)) x) x))
19.0ms
(pow (/ x (+ x y)) x)
23.0ms
(pow (/ x (+ x y)) x)
18.0ms
(pow (/ x (+ x y)) x)

simplify84.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049783840
149783840

prune240.0ms

Filtered
143 candidates to 190 candidates (-32.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1882190
Fresh022
Picked011
Done011
Total1886194

Merged error: 0.4b

Counts
194 → 6

regimes110.0ms

Accuracy

11.8% (4.4b remaining)

Error of 5.1b against oracle of 0.8b and baseline of 5.7b

bsearch93.0ms

Steps
ItersRangePoint
9
2.2062044532293975e+204
2.950849228756357e+211
2.2351608768701268e+204
11
0.01683730658649282
1.601522318771203e+21
348.48481476871916

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02943
12943

end0.0ms

sample2.1s

Algorithm
intervals
Results
708.0ms1491×body1280valid
434.0ms1514×body640valid
255.0ms4891×body80valid
163.0ms842×body320valid
123.0ms3178×body80nan
53.0ms448×body160valid

Profiling

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