Details

Time bar (total: 1.7s)

sample90.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 52.5854%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
7.0ms256×body80valid
0.0ms2×body80nan

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

localize5.0ms

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))

series16.0ms

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

simplify128.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (27.0ms)

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)))

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:
15.0ms
(sqrt (sqrt x))
17.0ms
(sqrt (sqrt x))
11.0ms
(* y (sqrt (sqrt x)))
7.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify44.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0313517
11342467
25001423

prune103.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh145
Picked101
Done011
Total1007107

Merged error: 0b

Counts
107 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
22×sqrt-prod
20×add-sqr-sqrt
19×add-exp-log
16×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
10×prod-exp
9×add-log-exp
8×pow1
4×sqrt-pow1 associate-*l* cbrt-unprod
3×unpow-prod-down unswap-sqr
2×pow-to-exp rem-sqrt-square associate-+l+ pow1/2 pow-exp sum-log *-commutative
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down flip-+ sqr-pow
Counts
4 → 84
Calls
4 calls:
6.0ms
(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
2.0ms
(sqrt (sqrt x))
6.0ms
(* y (sqrt (sqrt x)))
8.0ms
(* (* y (sqrt (sqrt x))) (pow x 1/4))

series51.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
15.0ms
(sqrt (sqrt x))
11.0ms
(* y (sqrt (sqrt x)))
12.0ms
(* (* y (sqrt (sqrt x))) (pow x 1/4))

simplify72.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0481641
12080593
25001573

prune145.0ms

Filtered
61 candidates to 96 candidates (-57.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New94296
Fresh325
Picked011
Done011
Total976103

Merged error: 0b

Counts
103 → 6

localize12.0ms

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))

rewrite21.0ms

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:
7.0ms
(+ (- 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:
7.0ms
(+ (- 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))

simplify50.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0379455
11570392
25001362

prune98.0ms

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

sample425.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 52.5854%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
227.0ms7998×body80valid
2.0ms66×body80nan
1.0ms23×body80invalid
0.0ms1×body1280valid
0.0ms1×body640valid

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