Details

Time bar (total: 1.6s)

analyze42.0ms

Algorithm
search

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
0.0ms5×body80nan
0.0ms2×body80invalid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1234
2404
3594
4744
51034
61204
71454
82264
92574
102574

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b
(* y (sqrt x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
4.0ms
(* y (sqrt x))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* y (sqrt x))

simplify78.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0135110
1571105
22894100
35001100

prune48.0ms

Filtered
17 candidates to 25 candidates (-47.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New20525
Fresh000
Picked011
Done000
Total20626

Merged error: 0.0b

Counts
26 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (sqrt x))
0.2b
(sqrt (sqrt x))
0.3b
(* y (sqrt (sqrt x)))
0.4b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
2.0ms
(sqrt (sqrt x))
8.0ms
(* y (sqrt (sqrt x)))
14.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series46.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt x))
16.0ms
(sqrt (sqrt x))
10.0ms
(* y (sqrt (sqrt x)))
6.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0313517
11342467
25001423

prune86.0ms

Filtered
58 candidates to 100 candidates (-72.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh044
Picked011
Done011
Total997106

Merged error: 0b

Counts
106 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (fabs (cbrt x)) y)
0.3b
(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
11×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×cbrt-prod
6×sqrt-prod
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×pow1/3 *-commutative
1×unswap-sqr
Counts
4 → 64
Calls
4 calls:
3.0ms
(* (fabs (cbrt x)) y)
8.0ms
(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series76.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (fabs (cbrt x)) y)
28.0ms
(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
21.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify84.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0261429
11076379
23888342
35001330

prune84.0ms

Filtered
53 candidates to 76 candidates (-43.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New75176
Fresh134
Picked011
Done022
Total76783

Merged error: 0b

Counts
83 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))

series93.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
20.0ms
(cbrt x)
31.0ms
(cbrt (cbrt x))

simplify82.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
099239
1175221
2404181
31393175
45002175

prune76.0ms

Filtered
46 candidates to 59 candidates (-28.3%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New59059
Fresh033
Picked011
Done033
Total59766

Merged error: 0b

Counts
66 → 7

regimes155.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

analyze43.0ms

Algorithm
search

sample376.0ms

Algorithm
intervals
Results
242.0ms7998×body80valid
4.0ms140×body80nan
2.0ms62×body80invalid
0.0ms1×body1280valid
0.0ms1×body640valid

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