Details

Time bar (total: 1.8s)

analyze44.0ms

Algorithm
search

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms6×body80nan
0.0ms4×body80invalid

simplify17.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 x) (* y (sqrt x)))
0.2b
(* y (sqrt x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-log-exp
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube
3×associate-*l*
2×associate-+l+ sum-log unswap-sqr
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 37
Calls
2 calls:
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
7.0ms
(* y (sqrt x))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
6.0ms
(* y (sqrt x))

simplify125.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0229223
1909209
24523202
35001202

prune63.0ms

Filtered
32 candidates to 43 candidates (-34.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New37643
Fresh000
Picked011
Done000
Total37744

Merged error: 0.0b

Counts
44 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.2b
(* y (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite20.0ms

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))
6.0ms
(* y (sqrt (sqrt x)))
9.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series77.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(sqrt (sqrt x))
28.0ms
(sqrt (sqrt x))
18.0ms
(* y (sqrt (sqrt x)))
9.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify40.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0313517
11342467
25001423

prune143.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New973100
Fresh325
Picked011
Done011
Total1007107

Merged error: 0b

Counts
107 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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 x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series90.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt x) (cbrt x))
21.0ms
(cbrt x)
23.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify69.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune101.0ms

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

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done022
Total85792

Merged error: 0b

Counts
92 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (cbrt (pow (sqrt (sqrt x)) 3)))
0.3b
(* (* y (cbrt (pow (sqrt (sqrt x)) 3))) (sqrt (sqrt x)))
0.6b
(cbrt (pow (sqrt (sqrt x)) 3))
0.7b
(pow (sqrt (sqrt x)) 3)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
69×sqrt-prod
56×cbrt-prod
47×add-sqr-sqrt
36×associate-*r*
30×add-cube-cbrt unpow-prod-down *-un-lft-identity cube-prod
14×pow1
12×add-exp-log
10×add-cbrt-cube
9×unswap-sqr
5×pow-pow
4×sqrt-pow1 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp sqr-pow
3×cube-mult pow-unpow unpow3
2×pow1/2 *-commutative
1×pow-to-exp pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 147
Calls
4 calls:
18.0ms
(* y (cbrt (pow (sqrt (sqrt x)) 3)))
22.0ms
(* (* y (cbrt (pow (sqrt (sqrt x)) 3))) (sqrt (sqrt x)))
6.0ms
(cbrt (pow (sqrt (sqrt x)) 3))
4.0ms
(pow (sqrt (sqrt x)) 3)

series61.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* y (cbrt (pow (sqrt (sqrt x)) 3)))
6.0ms
(* (* y (cbrt (pow (sqrt (sqrt x)) 3))) (sqrt (sqrt x)))
14.0ms
(cbrt (pow (sqrt (sqrt x)) 3))
30.0ms
(pow (sqrt (sqrt x)) 3)

simplify72.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0514932
12342779
25001737

prune124.0ms

Filtered
74 candidates to 159 candidates (-114.9%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1590159
Fresh033
Picked011
Done033
Total1597166

Merged error: 0b

Counts
166 → 7

regimes150.0ms

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

sample370.0ms

Algorithm
intervals
Results
242.0ms7999×body80valid
3.0ms128×body80nan
2.0ms71×body80invalid
0.0ms1×body160valid

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