Details

Time bar (total: 2.1s)

sample33.0ms

Algorithm
intervals
Results
8.0ms329×body80nan
8.0ms271×body80valid

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 2 expressions with local error:

0.0b
(+ (- 1.0 x) (* y (sqrt x)))
0.3b
(* y (sqrt x))

rewrite11.0ms

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)))
5.0ms
(* y (sqrt x))

series16.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (- 1.0 x) (* y (sqrt x)))
7.0ms
(* 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:

0.2b
(sqrt (sqrt x))
0.2b
(sqrt (sqrt x))
0.3b
(* 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)))
8.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series46.0ms

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

simplify39.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0313517
11342467
25001423

prune86.0ms

Filtered
57 candidates to 100 candidates (-75.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New982100
Fresh325
Picked011
Done011
Total1016107

Merged error: 0.0b

Counts
107 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
58×sqrt-prod
33×associate-*r*
26×add-sqr-sqrt
22×pow1
20×add-exp-log add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×sqrt-pow1 add-log-exp
3×*-commutative unswap-sqr
2×rem-sqrt-square pow1/2
Counts
4 → 102
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
6.0ms
(* y (sqrt (sqrt x)))
15.0ms
(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
10.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

series50.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(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))))

simplify61.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0494894
12405750
25001669

prune101.0ms

Filtered
64 candidates to 114 candidates (-78.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1131114
Fresh033
Picked011
Done022
Total1137120

Merged error: 0b

Counts
120 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
112×sqrt-prod
50×add-sqr-sqrt
42×associate-*r*
29×add-cube-cbrt *-un-lft-identity
28×unpow-prod-down cube-prod
20×add-exp-log
13×sqrt-pow1
12×pow1 add-cbrt-cube
10×prod-exp unswap-sqr
7×pow-pow
5×pow1/2
4×associate-*l* cbrt-unprod add-log-exp
3×pow-to-exp pow-unpow pow-exp sqr-pow
2×cube-mult rem-sqrt-square unpow3 *-commutative
1×pow-prod-down sqrt-pow2 rem-cube-cbrt
Counts
4 → 150
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
10.0ms
(* y (pow (sqrt (sqrt (sqrt x))) 3))
11.0ms
(* (* y (pow (sqrt (sqrt (sqrt x))) 3)) (sqrt (sqrt (sqrt x))))
5.0ms
(pow (sqrt (sqrt (sqrt x))) 3)

series60.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt x))
20.0ms
(* y (pow (sqrt (sqrt (sqrt x))) 3))
6.0ms
(* (* y (pow (sqrt (sqrt (sqrt x))) 3)) (sqrt (sqrt (sqrt x))))
20.0ms
(pow (sqrt (sqrt (sqrt x))) 3)

simplify88.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
05951160
12915987
25001908

prune121.0ms

Filtered
73 candidates to 162 candidates (-121.9%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1620162
Fresh033
Picked011
Done033
Total1627169

Merged error: 0b

Counts
169 → 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

sample897.0ms

Algorithm
intervals
Results
244.0ms8526×body80valid
236.0ms8651×body80nan
0.0ms1×body640valid

Profiling

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