Details

Time bar (total: 1.4s)

sample23.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.024414%

Guaranteed chance to sample good point: 99.993895%

Results
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
1114
2144
3144

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.6b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* x x))
29.8b
(sqrt (+ (* x x) (* x x)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×sqrt-prod
4×add-sqr-sqrt add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity
2×add-exp-log distribute-rgt-out flip3-+ count-2 sqrt-div add-cbrt-cube flip-+ distribute-lft-out
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
2 → 32
Calls
2 calls:
3.0ms
(+ (* x x) (* x x))
3.0ms
(sqrt (+ (* x x) (* x x)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (* x x) (* x x))
4.0ms
(sqrt (+ (* x x) (* x x)))

simplify238.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (235.0ms)

IterNodesCost
099167
1443152
23106141
35002139

prune53.0ms

Filtered
27 candidates to 38 candidates (-40.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New34438
Fresh000
Picked011
Done000
Total34539

Merged error: 0.1b

Counts
39 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (sqrt 2) (fabs x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*l*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*r* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
4.0ms
(* (sqrt 2) (fabs x))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(* (sqrt 2) (fabs x))

simplify79.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
065115
1224107
2526107
3884107
42528107
55001107

prune45.0ms

Filtered
15 candidates to 25 candidates (-66.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New22325
Fresh123
Picked011
Done011
Total23730

Merged error: 0.0b

Counts
30 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (sqrt (sqrt 2)) (fabs x))
0.3b
(* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (fabs x)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
18×associate-*l*
15×add-sqr-sqrt
9×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×unswap-sqr
2×*-commutative add-log-exp
Counts
2 → 50
Calls
2 calls:
5.0ms
(* (sqrt (sqrt 2)) (fabs x))
8.0ms
(* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (fabs x)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (sqrt (sqrt 2)) (fabs x))
4.0ms
(* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (fabs x)))

simplify75.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0125357
1514305
21466305
32518305
45001305

prune96.0ms

Filtered
33 candidates to 56 candidates (-69.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New54256
Fresh224
Picked011
Done112
Total57663

Merged error: 0b

Counts
63 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (sqrt (cbrt 2))) (* (sqrt (sqrt 2)) (fabs x)))
1.0b
(cbrt 2)
1.0b
(cbrt 2)
1.0b
(cbrt 2)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×sqrt-prod
12×cbrt-prod associate-*l*
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 60
Calls
4 calls:
9.0ms
(* (sqrt (sqrt (cbrt 2))) (* (sqrt (sqrt 2)) (fabs x)))
1.0ms
(cbrt 2)
1.0ms
(cbrt 2)
1.0ms
(cbrt 2)

series33.0ms

Counts
4 → 6
Calls
4 calls:
33.0ms
(* (sqrt (sqrt (cbrt 2))) (* (sqrt (sqrt 2)) (fabs x)))
0.0ms
(cbrt 2)
0.0ms
(cbrt 2)
0.0ms
(cbrt 2)

simplify88.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0139400
1412367
21399361
33962361
45001361

prune184.0ms

Filtered
49 candidates to 66 candidates (-34.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh033
Picked011
Done022
Total66672

Merged error: 0b

Counts
72 → 6

regimes41.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01714
11714

end0.0ms

sample341.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.024414%

Guaranteed chance to sample good point: 99.993895%

Results
193.0ms8000×body80valid

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