Details

Time bar (total: 3.9s)

sample39.0ms

Algorithm
intervals
Results
24.0ms643×body80valid

simplify137.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1293
2683
32043
47763
539863
650023

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: 0.0b

Counts
2 → 1

localize9.0ms

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))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(- (pow x 4.0) (pow y 4.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0126172
1340165
21287165
35001165

prune69.0ms

Filtered
26 candidates to 22 candidates (84.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New24226
Fresh000
Picked011
Done000
Total24327

Merged error: 0b

Counts
27 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

10.3b
(sqrt (pow y 4.0))
10.3b
(sqrt (pow y 4.0))
11.9b
(sqrt (pow x 4.0))
11.9b
(sqrt (pow x 4.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
28×sqrt-prod
20×add-sqr-sqrt
16×unpow-prod-down
12×add-cube-cbrt rem-sqrt-square *-un-lft-identity
8×sqr-pow
4×pow1 add-exp-log sqrt-pow1 pow1/2 add-cbrt-cube add-log-exp
Counts
4 → 76
Calls
4 calls:
2.0ms
(sqrt (pow y 4.0))
2.0ms
(sqrt (pow y 4.0))
2.0ms
(sqrt (pow x 4.0))
2.0ms
(sqrt (pow x 4.0))

series1.4s

Counts
4 → 12
Calls
4 calls:
353.0ms
(sqrt (pow y 4.0))
349.0ms
(sqrt (pow y 4.0))
354.0ms
(sqrt (pow x 4.0))
346.0ms
(sqrt (pow x 4.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0136332
1256320
2595320
31709320
45001320

prune273.0ms

Filtered
88 candidates to 72 candidates (81.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New88088
Fresh011
Picked011
Done011
Total88391

Merged error: 0b

Counts
91 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow x 4.0) (pow y 4.0))
0.8b
(+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))
40.7b
(/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
90×*-un-lft-identity
37×distribute-lft-out
30×unpow-prod-down times-frac
16×add-sqr-sqrt add-cube-cbrt
14×distribute-rgt-neg-in
9×add-log-exp
6×associate-/l*
5×add-exp-log associate-/r* add-cbrt-cube
4×flip3-+ flip-+
3×pow1 div-sub sum-log
2×+-commutative neg-sub0 associate-+r- unsub-neg associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp neg-log clear-num div-inv
Counts
3 → 91
Calls
3 calls:
10.0ms
(+ (pow x 4.0) (pow y 4.0))
10.0ms
(+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))
19.0ms
(/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))

series260.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ (pow x 4.0) (pow y 4.0))
97.0ms
(+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))
114.0ms
(/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
02861122
113361018
25002979

prune211.0ms

Filtered
100 candidates to 59 candidates (59.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1000100
Fresh000
Picked011
Done022
Total1003103

Merged error: 0b

Counts
103 → 3

regimes96.0ms

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

sample1.1s

Algorithm
intervals
Results
776.0ms20683×body80valid