Details

Time bar (total: 3.0s)

sample53.0ms

Algorithm
intervals
Results
28.0ms624×body80valid

simplify137.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1293
2683
32043
47763
539863
650023

prune3.0ms

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
(- (pow x 4.0) (pow y 4.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
9×difference-of-squares
8×unpow-prod-down
6×sqr-pow
5×*-un-lft-identity
3×add-log-exp
2×distribute-lft-out--
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip--
Counts
1 → 23
Calls
1 calls:
7.0ms
(- (pow x 4.0) (pow y 4.0))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(- (pow x 4.0) (pow y 4.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0126172
1340165
21287165
35001165

prune53.0ms

Filtered
22 candidates to 26 candidates (-18.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New25126
Fresh000
Picked011
Done000
Total25227

Merged error: 0.0b

Counts
27 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (pow x 4.0) (pow y 4.0))
0.1b
(* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))
17.6b
(sqrt (- (pow x 4.0) (pow y 4.0)))
17.6b
(sqrt (- (pow x 4.0) (pow y 4.0)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
112×add-sqr-sqrt
94×sqrt-prod
63×difference-of-squares
56×unpow-prod-down
48×*-un-lft-identity
42×sqr-pow
21×pow1 swap-sqr
17×associate-*r* associate-*l*
16×sqrt-div distribute-lft-out--
14×add-cube-cbrt
10×sqrt-pow1 pow1/2
9×flip3-- flip--
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 167
Calls
4 calls:
7.0ms
(- (pow x 4.0) (pow y 4.0))
26.0ms
(* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))
7.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))
7.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))

series35.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (pow x 4.0) (pow y 4.0))
8.0ms
(* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))
9.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))
9.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03131372
111761306
250011286

prune405.0ms

Filtered
123 candidates to 179 candidates (-45.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1781179
Fresh000
Picked101
Done011
Total1792181

Merged error: 0b

Counts
181 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (sqrt (- (pow x 4.0) (pow y 4.0))) 3)
11.0b
(cbrt (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 3))
17.6b
(sqrt (- (pow x 4.0) (pow y 4.0)))
17.6b
(sqrt (- (pow x 4.0) (pow y 4.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
84×sqrt-prod
82×unpow-prod-down
54×difference-of-squares
40×cbrt-prod *-un-lft-identity
38×sqr-pow
34×cube-prod
16×add-cube-cbrt
12×distribute-lft-out--
8×pow1 sqrt-div
5×add-exp-log add-cbrt-cube
4×cube-div flip3-- flip-- add-log-exp
3×pow-unpow pow-pow sqrt-pow1 pow1/2
2×cube-mult rem-sqrt-square cbrt-div unpow3
1×pow-to-exp pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 159
Calls
4 calls:
12.0ms
(pow (sqrt (- (pow x 4.0) (pow y 4.0))) 3)
11.0ms
(cbrt (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 3))
7.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))
8.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(pow (sqrt (- (pow x 4.0) (pow y 4.0))) 3)
9.0ms
(cbrt (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 3))
9.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))
9.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
04431425
114021382
250011370

prune359.0ms

Filtered
98 candidates to 171 candidates (-74.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1710171
Fresh000
Picked011
Done011
Total1712173

Merged error: 0b

Counts
173 → 2

regimes185.0ms

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
063

end0.0ms

sample1.5s

Algorithm
intervals
Results
889.0ms20337×body80valid

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