Details

Time bar (total: 2.0s)

sample29.0ms

Algorithm
intervals
Results
7.0ms270×body80valid
7.0ms265×body80nan

simplify18.0ms

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

Filtered
1 candidates to 0 candidates (100.0%)
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))

rewrite12.0ms

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))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
7.0ms
(* y (sqrt x))

simplify128.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0229223
1909209
24523202
35001202

prune64.0ms

Filtered
43 candidates to 32 candidates (25.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New38543
Fresh000
Picked011
Done000
Total38644

Merged error: 0.0b

Counts
44 → 6

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)))
8.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (sqrt x))
14.0ms
(sqrt (sqrt x))
10.0ms
(* y (sqrt (sqrt x)))
7.0ms
(* (* 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

prune91.0ms

Filtered
100 candidates to 58 candidates (42.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New982100
Fresh134
Picked011
Done011
Total997106

Merged error: 0b

Counts
106 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (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)

series89.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt x) (cbrt x))
21.0ms
(cbrt x)
21.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify71.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune102.0ms

Filtered
85 candidates to 56 candidates (34.1%)
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 (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
0.6b
(cbrt (pow (sqrt (sqrt x)) 3))
0.7b
(pow (sqrt (sqrt x)) 3)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
66×sqrt-prod
48×cbrt-prod
36×add-sqr-sqrt associate-*r*
30×add-cube-cbrt *-un-lft-identity
27×unpow-prod-down cube-prod
14×pow1
12×add-exp-log
10×add-cbrt-cube
5×pow-pow
4×sqrt-pow1 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×cube-mult pow-unpow unpow3 unswap-sqr sqr-pow
2×pow1/2 *-commutative
1×pow-to-exp pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 141
Calls
4 calls:
6.0ms
(* y (sqrt (sqrt x)))
12.0ms
(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
4.0ms
(cbrt (pow (sqrt (sqrt x)) 3))
4.0ms
(pow (sqrt (sqrt x)) 3)

series53.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* y (sqrt (sqrt x)))
6.0ms
(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
16.0ms
(cbrt (pow (sqrt (sqrt x)) 3))
19.0ms
(pow (sqrt (sqrt x)) 3)

simplify70.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0524890
12404757
25001700

prune119.0ms

Filtered
153 candidates to 71 candidates (53.6%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1530153
Fresh033
Picked011
Done033
Total1537160

Merged error: 0b

Counts
160 → 7

regimes152.0ms

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

sample818.0ms

Algorithm
intervals
Results
224.0ms8521×body80valid
208.0ms8504×body80nan
0.0ms3×body1280valid

Profiling

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