Details

Time bar (total: 1.6s)

analyze44.0ms

Algorithm
search

sample20.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
0.0ms4×body80nan
0.0ms3×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:

0.2b
(* 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:
5.0ms
(* y (sqrt x))

series6.0ms

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

simplify81.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0135110
1571105
22894100
35001100

prune45.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt (sqrt x))
15.0ms
(sqrt (sqrt x))
11.0ms
(* y (sqrt (sqrt x)))
7.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify41.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0313517
11342467
25001423

prune98.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New973100
Fresh224
Picked011
Done011
Total997106

Merged error: 0.0b

Counts
106 → 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)

series93.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt x) (cbrt x))
24.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify75.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune109.0ms

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: 0.0b

Counts
92 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
69×sqrt-prod
33×associate-*r*
28×add-sqr-sqrt
23×pow1
20×add-exp-log add-cbrt-cube
19×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
9×sqrt-pow1
5×associate-*l*
4×add-log-exp
3×rem-sqrt-square pow1/2 *-commutative unswap-sqr
Counts
4 → 108
Calls
4 calls:
3.0ms
(sqrt (sqrt (sqrt x)))
6.0ms
(* y (sqrt (sqrt x)))
16.0ms
(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
11.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (sqrt (sqrt x)))
10.0ms
(* y (sqrt (sqrt x)))
7.0ms
(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
18.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

simplify67.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0528938
12546794
25001709

prune96.0ms

Filtered
67 candidates to 120 candidates (-79.1%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1191120
Fresh033
Picked011
Done033
Total1198127

Merged error: 0b

Counts
127 → 8

regimes173.0ms

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

analyze48.0ms

Algorithm
search

sample387.0ms

Algorithm
intervals
Results
244.0ms7998×body80valid
4.0ms134×body80nan
2.0ms58×body80invalid
0.0ms2×body640valid

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