Details

Time bar (total: 1.3s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
1114
2144
3144

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 33.1b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* x x))
31.9b
(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:
4.0ms
(+ (* x x) (* x x))
4.0ms
(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)))

simplify242.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (239.0ms)

IterNodesCost
099167
1443152
23106141
35002139

prune52.0ms

Filtered
38 candidates to 27 candidates (28.9%)
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:
5.0ms
(* (sqrt 2) (fabs x))

series4.0ms

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

simplify83.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
065115
1224107
2526107
3884107
42528107
55001107

prune44.0ms

Filtered
25 candidates to 15 candidates (40.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New21425
Fresh303
Picked011
Done101
Total25530

Merged error: 0.0b

Counts
30 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
12×add-sqr-sqrt
10×associate-*l*
9×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
8×cbrt-prod
6×add-cube-cbrt *-un-lft-identity
4×associate-*r* sqrt-prod
3×unswap-sqr
2×*-commutative add-log-exp
Counts
2 → 48
Calls
2 calls:
5.0ms
(* (cbrt (sqrt 2)) (fabs x))
11.0ms
(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (fabs x)))

series26.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (cbrt (sqrt 2)) (fabs x))
4.0ms
(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (fabs x)))

simplify134.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (129.0ms)

IterNodesCost
0155464
1674347
24101308
35001296

prune106.0ms

Filtered
54 candidates to 33 candidates (38.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New54054
Fresh033
Picked011
Done011
Total54559

Merged error: 0.0b

Counts
59 → 5

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)))

rewrite17.0ms

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:
6.0ms
(* (sqrt (sqrt 2)) (fabs x))
9.0ms
(* (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)))

simplify81.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0125357
1514305
21466305
32518305
45001305

prune83.0ms

Filtered
56 candidates to 33 candidates (41.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh112
Picked011
Done112
Total57461

Merged error: 0b

Counts
61 → 4

regimes33.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01714
11714

end0.0ms

sample321.0ms

Algorithm
intervals
Results
185.0ms8002×body80valid

Profiling

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