Details

Time bar (total: 2.0s)

sample31.0ms

Algorithm
intervals
Results
8.0ms277×body80valid
7.0ms280×body80nan

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)))
0.2b
(* 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))

series13.0ms

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

simplify124.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0229223
1909209
24523202
35001202

prune67.0ms

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))
0.3b
(* 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)))

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)))

simplify41.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0313517
11342467
25001423

prune88.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh325
Picked101
Done011
Total1025107

Merged error: 0.0b

Counts
107 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
0.1b
(sqrt (sqrt x))
0.3b
(* y (pow x 1/4))
0.3b
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-sqr-sqrt sqrt-prod
16×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
10×prod-exp
9×add-log-exp
8×pow1
4×unpow-prod-down sqrt-pow1 associate-*l* cbrt-unprod
3×unswap-sqr
2×pow-to-exp rem-sqrt-square associate-+l+ pow1/2 pow-exp sum-log *-commutative sqr-pow
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down flip-+
Counts
4 → 84
Calls
4 calls:
6.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
2.0ms
(sqrt (sqrt x))
5.0ms
(* y (pow x 1/4))
9.0ms
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
14.0ms
(sqrt (sqrt x))
12.0ms
(* y (pow x 1/4))
12.0ms
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0458609
12014557
25002532

prune152.0ms

Filtered
62 candidates to 96 candidates (-54.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New94296
Fresh123
Picked011
Done011
Total956101

Merged error: 0b

Counts
101 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- 1.0 x) (* (* y (pow x 1/4)) (pow x 1/4)))
0.3b
(* y (pow x 1/4))
0.3b
(* (* y (pow x 1/4)) (pow x 1/4))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
24×prod-exp
14×associate-*r*
13×add-sqr-sqrt
10×add-cbrt-cube
8×pow-to-exp add-cube-cbrt *-un-lft-identity pow-exp add-log-exp
7×unpow-prod-down
4×associate-*l* cbrt-unprod
3×pow1 unswap-sqr sqr-pow
2×associate-+l+ sum-log *-commutative
1×+-commutative associate-+l- sub-neg flip3-+ diff-log flip-+
Counts
3 → 70
Calls
3 calls:
6.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (pow x 1/4)))
5.0ms
(* y (pow x 1/4))
7.0ms
(* (* y (pow x 1/4)) (pow x 1/4))

series26.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (pow x 1/4)))
12.0ms
(* y (pow x 1/4))
7.0ms
(* (* y (pow x 1/4)) (pow x 1/4))

simplify48.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0379455
11570392
25001362

prune92.0ms

Filtered
50 candidates to 79 candidates (-58.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New79079
Fresh033
Picked011
Done022
Total79685

Merged error: 0b

Counts
85 → 6

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

sample855.0ms

Algorithm
intervals
Results
235.0ms8516×body80valid
214.0ms8637×body80nan

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