Details

Time bar (total: 1.7s)

sample108.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 51.028442%

Guaranteed chance to sample good point: 97.918614%

Results
14.0ms256×body80valid
0.0ms7×body80invalid

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

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 1 expressions with local error:

0.3b
(* y (sqrt x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
5.0ms
(* y (sqrt x))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* y (sqrt x))

simplify83.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0135110
1571105
22894100
35001100

prune51.0ms

Filtered
17 candidates to 25 candidates (-47.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New19625
Fresh000
Picked011
Done000
Total19726

Merged error: 0.0b

Counts
26 → 7

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)))

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)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt (sqrt x))
15.0ms
(sqrt (sqrt x))
11.0ms
(* y (sqrt (sqrt x)))
7.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify42.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0313517
11342467
25001423

prune114.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh235
Picked101
Done011
Total998107

Merged error: 0b

Counts
107 → 8

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
19×sqrt-prod
18×add-exp-log add-sqr-sqrt
16×associate-*r*
11×add-cube-cbrt *-un-lft-identity
10×prod-exp add-cbrt-cube
7×pow1
4×unpow-prod-down sqrt-pow1 associate-*l* cbrt-unprod
3×add-log-exp unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative sqr-pow
1×pow-prod-down
Counts
3 → 69
Calls
3 calls:
2.0ms
(sqrt (sqrt x))
5.0ms
(* y (pow x 1/4))
8.0ms
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

series39.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(sqrt (sqrt x))
12.0ms
(* y (pow x 1/4))
13.0ms
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

simplify50.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0364422
11680382
25002358

prune111.0ms

Filtered
47 candidates to 78 candidates (-66.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New76278
Fresh246
Picked011
Done011
Total78886

Merged error: 0b

Counts
86 → 8

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log
24×prod-exp
14×associate-*r*
12×add-sqr-sqrt
9×add-cbrt-cube
8×pow-to-exp pow-exp
7×add-cube-cbrt unpow-prod-down *-un-lft-identity
4×associate-*l* cbrt-unprod
3×unswap-sqr sqr-pow
2×pow1 *-commutative add-log-exp
Counts
2 → 55
Calls
2 calls:
7.0ms
(* y (pow x 1/4))
7.0ms
(* (* y (pow x 1/4)) (pow x 1/4))

series19.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(* y (pow x 1/4))
7.0ms
(* (* y (pow x 1/4)) (pow x 1/4))

simplify41.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0285308
11235260
25002245

prune74.0ms

Filtered
35 candidates to 61 candidates (-74.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New61061
Fresh055
Picked011
Done022
Total61869

Merged error: 0b

Counts
69 → 8

regimes188.0ms

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

sample572.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 51.028442%

Guaranteed chance to sample good point: 97.918614%

Results
265.0ms7999×body80valid
8.0ms266×body80invalid
2.0ms61×body80nan
0.0ms1×body1280valid

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