Details

Time bar (total: 2.1s)

sample12.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
073
183
283

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (fabs (- x y)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity
1×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 15
Calls
1 calls:
1.0ms
(sqrt (fabs (- x y)))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(sqrt (fabs (- x y)))

simplify92.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 7 (27.0ms)

IterNodesCost
02872
13270
23570
34070
45970
511370
654070
7178569
8500169

prune34.0ms

Filtered
18 candidates to 12 candidates (66.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.1b
(sqrt (sqrt (fabs (- x y))))
0.1b
(sqrt (sqrt (fabs (- x y))))
0.5b
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
89×sqrt-prod
56×add-sqr-sqrt
41×sqrt-pow1
32×pow1
21×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×associate-*r* associate-*l* pow-prod-up unswap-sqr
6×add-exp-log add-cbrt-cube
5×rem-sqrt-square pow-prod-down pow-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 134
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
2.0ms
(sqrt (sqrt (fabs (- x y))))
2.0ms
(sqrt (sqrt (fabs (- x y))))
15.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series100.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sqrt (fabs (- x y)))
40.0ms
(sqrt (sqrt (fabs (- x y))))
43.0ms
(sqrt (sqrt (fabs (- x y))))
9.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify144.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 3 (134.0ms)

IterNodesCost
0137754
1525694
22989678
35001663

prune153.0ms

Filtered
146 candidates to 67 candidates (45.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1442146
Fresh000
Picked011
Done011
Total1444148

Merged error: 0b

Counts
148 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.5b
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
0.6b
(cbrt (fabs (- x y)))
0.6b
(cbrt (fabs (- x y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
78×sqrt-prod
70×add-sqr-sqrt
41×associate-*r*
30×unswap-sqr
19×add-cube-cbrt *-un-lft-identity
17×cbrt-prod
15×associate-*l*
13×pow1
8×add-exp-log add-cbrt-cube
6×pow-prod-down
4×expm1-log1p-u sqrt-pow1 log1p-expm1-u add-log-exp
3×*-commutative
2×pow1/2 pow1/3 prod-exp cbrt-unprod
1×sqrt-unprod
Counts
4 → 118
Calls
4 calls:
6.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
16.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
1.0ms
(cbrt (fabs (- x y)))
1.0ms
(cbrt (fabs (- x y)))

series197.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
61.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
40.0ms
(cbrt (fabs (- x y)))
44.0ms
(cbrt (fabs (- x y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
02341837
18541771
223901759
350021751

prune266.0ms

Filtered
130 candidates to 81 candidates (62.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1291130
Fresh101
Picked101
Done022
Total1313134

Merged error: 0b

Counts
134 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (fabs (cbrt (fabs (- x y))))) (sqrt (cbrt (fabs (- x y)))))
0.6b
(cbrt (fabs (- x y)))
0.6b
(cbrt (fabs (- x y)))
0.6b
(cbrt (fabs (- x y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
16×sqrt-prod
14×cbrt-prod
12×add-cube-cbrt *-un-lft-identity
9×associate-*r*
8×pow1
6×add-exp-log associate-*l* add-cbrt-cube unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
2×sqrt-pow1 pow1/2
1×sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 76
Calls
4 calls:
7.0ms
(* (sqrt (fabs (cbrt (fabs (- x y))))) (sqrt (cbrt (fabs (- x y)))))
1.0ms
(cbrt (fabs (- x y)))
1.0ms
(cbrt (fabs (- x y)))
1.0ms
(cbrt (fabs (- x y)))

series194.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (sqrt (fabs (cbrt (fabs (- x y))))) (sqrt (cbrt (fabs (- x y)))))
42.0ms
(cbrt (fabs (- x y)))
46.0ms
(cbrt (fabs (- x y)))
43.0ms
(cbrt (fabs (- x y)))

simplify144.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0122757
1412720
21170712
34890706
45003706

prune236.0ms

Filtered
88 candidates to 61 candidates (69.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh000
Picked011
Done022
Total88391

Merged error: 0b

Counts
91 → 3

regimes92.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053

end0.0ms

sample259.0ms

Algorithm
intervals
Results
134.0ms8000×body80valid