Details

Time bar (total: 2.5s)

sample29.0ms

Algorithm
intervals
Results
16.0ms352×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0143
1203
2223
3223

prune2.0ms

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: 4.8b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

4.5b
(* x (+ 1.0 (* y y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
8.0ms
(* x (+ 1.0 (* y y)))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* x (+ 1.0 (* y y)))

simplify84.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0144115
1712101
23303100
35003100

prune45.0ms

Filtered
25 candidates to 17 candidates (68.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New19625
Fresh000
Picked101
Done000
Total20626

Merged error: 4.6b

Counts
26 → 6

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (sqrt (+ 1.0 (* y y))))
0.1b
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
4.5b
(sqrt (+ 1.0 (* y y)))
4.5b
(sqrt (+ 1.0 (* y y)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
6.0ms
(* x (sqrt (+ 1.0 (* y y))))
12.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
2.0ms
(sqrt (+ 1.0 (* y y)))
2.0ms
(sqrt (+ 1.0 (* y y)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* x (sqrt (+ 1.0 (* y y))))
50.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
44.0ms
(sqrt (+ 1.0 (* y y)))
41.0ms
(sqrt (+ 1.0 (* y y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0306681
11316604
25002594

prune172.0ms

Filtered
95 candidates to 67 candidates (70.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New94195
Fresh145
Picked011
Done000
Total956101

Merged error: 4.6b

Counts
101 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))
4.5b
(sqrt (+ 1.0 (* y y)))
4.5b
(sqrt (+ 1.0 (* y y)))
4.5b
(sqrt (+ 1.0 (* y y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
24×sqrt-div
18×sqrt-prod
13×add-sqr-sqrt
12×pow1
10×add-cube-cbrt *-un-lft-identity
9×add-exp-log flip3-+ associate-*r* add-cbrt-cube flip-+
8×associate-*r/
4×frac-times add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*l* *-commutative
Counts
4 → 77
Calls
4 calls:
11.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))
2.0ms
(sqrt (+ 1.0 (* y y)))
2.0ms
(sqrt (+ 1.0 (* y y)))
3.0ms
(sqrt (+ 1.0 (* y y)))

series283.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))
44.0ms
(sqrt (+ 1.0 (* y y)))
43.0ms
(sqrt (+ 1.0 (* y y)))
47.0ms
(sqrt (+ 1.0 (* y y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0326750
11334711
25002684

prune212.0ms

Filtered
89 candidates to 70 candidates (78.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh044
Picked011
Done011
Total89695

Merged error: 4.6b

Counts
95 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (+ 1.0 (* y y))))
4.5b
(* x (+ 1.0 (* y y)))
4.5b
(* x (+ 1.0 (* y y)))
4.5b
(* x (+ 1.0 (* y y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
8×associate-*r/
4×flip3-+ flip-+ add-log-exp
3×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 77
Calls
4 calls:
3.0ms
(cbrt (* x (+ 1.0 (* y y))))
5.0ms
(* x (+ 1.0 (* y y)))
5.0ms
(* x (+ 1.0 (* y y)))
5.0ms
(* x (+ 1.0 (* y y)))

series335.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt (* x (+ 1.0 (* y y))))
50.0ms
(* x (+ 1.0 (* y y)))
53.0ms
(* x (+ 1.0 (* y y)))
53.0ms
(* x (+ 1.0 (* y y)))

simplify111.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0261482
11033426
24303419
35001419

prune162.0ms

Filtered
89 candidates to 64 candidates (71.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh033
Picked011
Done022
Total89695

Merged error: 4.6b

Counts
95 → 6

regimes108.0ms

Accuracy

0% (0.2b remaining)

Error of 5.5b against oracle of 5.3b and baseline of 5.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118
1118

end0.0ms

sample458.0ms

Algorithm
intervals
Results
269.0ms10621×body80valid

Profiling

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