Details

Time bar (total: 1.9s)

sample93.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 52.539063%

Guaranteed chance to sample good point: 97.833076%

Results
8.0ms256×body80valid
0.0ms2×body80nan
0.0ms1×body80invalid

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

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 (27.0ms)

IterNodesCost
0229223
1909209
24523202
35001202

prune70.0ms

Filtered
32 candidates to 43 candidates (-34.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New36743
Fresh000
Picked011
Done000
Total36844

Merged error: 0.0b

Counts
44 → 8

localize11.0ms

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)))

rewrite22.0ms

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)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(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 (35.0ms)

IterNodesCost
0313517
11342467
25001423

prune106.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New973100
Fresh156
Picked101
Done011
Total999108

Merged error: 0.0b

Counts
108 → 9

localize14.0ms

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)))

rewrite27.0ms

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:
7.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
2.0ms
(sqrt (sqrt x))
5.0ms
(* y (pow x 1/4))
11.0ms
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

series50.0ms

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

simplify59.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0458609
12014557
25002532

prune138.0ms

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

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New93396
Fresh257
Picked011
Done011
Total9510105

Merged error: 0.0b

Counts
105 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.2b
(* y (pow (sqrt x) 1/4))
0.3b
(* (* y (pow (sqrt x) 1/4)) (pow (sqrt x) 1/4))
0.3b
(* (* (* y (pow (sqrt x) 1/4)) (pow (sqrt x) 1/4)) (sqrt (sqrt x)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log
58×prod-exp
29×associate-*r*
26×sqrt-prod
25×add-sqr-sqrt
20×add-cbrt-cube
16×add-cube-cbrt *-un-lft-identity
15×pow-to-exp pow-exp
14×unpow-prod-down
10×cbrt-unprod
8×pow1
5×associate-*l*
4×sqrt-pow1 add-log-exp unswap-sqr
3×*-commutative sqr-pow
2×rem-sqrt-square pow1/2
1×pow-prod-down
Counts
4 → 116
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
6.0ms
(* y (pow (sqrt x) 1/4))
9.0ms
(* (* y (pow (sqrt x) 1/4)) (pow (sqrt x) 1/4))
13.0ms
(* (* (* y (pow (sqrt x) 1/4)) (pow (sqrt x) 1/4)) (sqrt (sqrt x)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (sqrt x))
15.0ms
(* y (pow (sqrt x) 1/4))
11.0ms
(* (* y (pow (sqrt x) 1/4)) (pow (sqrt x) 1/4))
7.0ms
(* (* (* y (pow (sqrt x) 1/4)) (pow (sqrt x) 1/4)) (sqrt (sqrt x)))

simplify71.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0528929
12578729
25002640

prune137.0ms

Filtered
69 candidates to 128 candidates (-85.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1262128
Fresh257
Picked011
Done022
Total12810138

Merged error: 0b

Counts
138 → 10

regimes207.0ms

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

sample515.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 52.539063%

Guaranteed chance to sample good point: 97.833076%

Results
243.0ms7996×body80valid
2.0ms67×body80nan
1.0ms28×body80invalid
0.0ms2×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid

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