Details

Time bar (total: 4.4s)

sample47.0ms

Algorithm
intervals
Results
31.0ms683×body80valid

simplify139.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1303
2733
32173
48193
542433
650013

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))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
53×unpow-prod-down
49×prod-diff
43×add-sqr-sqrt
35×*-un-lft-identity
31×add-cube-cbrt
21×sqr-pow
9×difference-of-squares
7×fma-neg
3×add-log-exp
2×distribute-lft-out--
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 81
Calls
1 calls:
9.0ms
(- (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))

simplify145.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (134.0ms)

IterNodesCost
03151099
1873775
24757725
35001720

prune123.0ms

Filtered
84 candidates to 43 candidates (51.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New82284
Fresh000
Picked011
Done000
Total82385

Merged error: 0b

Counts
85 → 3

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (pow x (/ 4.0 2)) (pow x (/ 4.0 2)) (- (pow y 4.0)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (pow x (/ 4.0 2)) (pow x (/ 4.0 2)) (- (pow y 4.0)))

series544.0ms

Counts
1 → 3
Calls
1 calls:
544.0ms
(fma (pow x (/ 4.0 2)) (pow x (/ 4.0 2)) (- (pow y 4.0)))

simplify115.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 4 (112.0ms)

IterNodesCost
061112
118397
269996
3314492
4500189

prune40.0ms

Filtered
13 candidates to 13 candidates (100.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New13013
Fresh011
Picked011
Done011
Total13316

Merged error: 0b

Counts
16 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

8.6b
(sqrt (pow y 4.0))
8.6b
(sqrt (pow y 4.0))
11.8b
(sqrt (pow x 4.0))
11.8b
(sqrt (pow x 4.0))

rewrite12.0ms

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 expm1-log1p-u sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 84
Calls
4 calls:
2.0ms
(sqrt (pow y 4.0))
2.0ms
(sqrt (pow y 4.0))
2.0ms
(sqrt (pow x 4.0))
3.0ms
(sqrt (pow x 4.0))

series1.4s

Counts
4 → 12
Calls
4 calls:
362.0ms
(sqrt (pow y 4.0))
360.0ms
(sqrt (pow y 4.0))
360.0ms
(sqrt (pow x 4.0))
356.0ms
(sqrt (pow x 4.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0140356
1260344
2599344
31715344
45001344

prune257.0ms

Filtered
96 candidates to 80 candidates (83.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done022
Total96399

Merged error: 0b

Counts
99 → 3

regimes91.0ms

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

sample1.3s

Algorithm
intervals
Results
926.0ms20368×body80valid