Details

Time bar (total: 1.5s)

analyze3.0ms

Algorithm
search

sample10.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0ms1×body80invalid

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: 31.6b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* x x))
30.2b
(sqrt (+ (* x x) (* x x)))

rewrite13.0ms

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:
9.0ms
(+ (* 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)))

simplify243.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (238.0ms)

IterNodesCost
099167
1443152
23106141
35002139

prune47.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New35338
Fresh000
Picked011
Done000
Total35439

Merged error: 0.1b

Counts
39 → 4

localize6.0ms

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))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* (sqrt 2) (fabs x))

simplify81.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
065115
1224107
2526107
3884107
42528107
55001107

prune39.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New22325
Fresh112
Picked011
Done011
Total23629

Merged error: 0.0b

Counts
29 → 6

localize10.0ms

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))
10.0ms
(* (* (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)))

simplify132.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (127.0ms)

IterNodesCost
0155464
1674347
24101308
35001296

prune109.0ms

Filtered
33 candidates to 54 candidates (-63.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New51354
Fresh123
Picked011
Done112
Total53760

Merged error: 0b

Counts
60 → 7

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (fabs x) (pow (sqrt 2) 2/3))
0.3b
(* (cbrt (sqrt 2)) (* (fabs x) (pow (sqrt 2) 2/3)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
16×add-sqr-sqrt
12×associate-*l*
11×associate-*r*
10×prod-exp
9×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down
7×sqrt-prod add-cbrt-cube
6×cbrt-prod
4×pow1 cbrt-unprod unswap-sqr
2×pow-to-exp pow-exp *-commutative add-log-exp sqr-pow
1×pow-prod-down
Counts
2 → 54
Calls
2 calls:
6.0ms
(* (fabs x) (pow (sqrt 2) 2/3))
8.0ms
(* (cbrt (sqrt 2)) (* (fabs x) (pow (sqrt 2) 2/3)))

series35.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (fabs x) (pow (sqrt 2) 2/3))
4.0ms
(* (cbrt (sqrt 2)) (* (fabs x) (pow (sqrt 2) 2/3)))

simplify144.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (139.0ms)

IterNodesCost
0191430
1756369
24155352
35002313

prune91.0ms

Filtered
39 candidates to 60 candidates (-53.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New59160
Fresh314
Picked011
Done022
Total62567

Merged error: 0b

Counts
67 → 5

regimes141.0ms

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
0117
1117

end0.0ms

analyze3.0ms

Algorithm
search

sample258.0ms

Algorithm
intervals
Results
175.0ms8000×body80valid
0.0ms2×body80invalid

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