Details

Time bar (total: 7.0s)

sample27.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
5.0ms256×pre80true

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12315
25715
313815
429015
558415
6143115
7472715
done500015

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 62.0b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

62.0b
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
associate--r+
sub-neg add-log-exp
distribute-rgt-in distribute-lft-in
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 16
Calls
1 calls:
13.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

simplify811.0ms

Counts
19 → 19
Iterations

Useful iterations: 3 (228.0ms)

IterNodesCost
070432
1196418
2637360
32444355
done5000355

prune40.0ms

Filtered
15 candidates to 19 candidates (-26.7%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New18119
Fresh000
Picked101
Done000
Total19120

Merged error: 52.0b

Counts
20 → 1

localize12.0ms

Local error

Found 1 expressions with local error:

23.0b
(- (* 9.0 (pow x 4.0)) (pow y 4))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
6.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4))

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4))

simplify1.7s

Counts
15 → 15
Iterations

Useful iterations: 4 (717.0ms)

IterNodesCost
056234
1141222
2380196
31220189
44537188
done5000188

prune46.0ms

Filtered
13 candidates to 15 candidates (-15.4%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New14115
Fresh000
Picked101
Done000
Total15116

Merged error: 52.0b

Counts
16 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

1.0b
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
23.0b
(- (* 9.0 (pow x 4.0)) (pow y 4))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
unpow-prod-down cube-prod
pow1 add-exp-log cube-div cbrt-div flip3-- add-cbrt-cube flip--
cube-mult sub-neg pow1/3 diff-log unpow3 rem-cbrt-cube sqr-pow
Counts
2 → 35
Calls
2 calls:
7.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
6.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4))

series176.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
87.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4))

simplify952.0ms

Counts
41 → 41
Iterations

Useful iterations: 3 (234.0ms)

IterNodesCost
090816
1226658
2662593
32957579
done5000579

prune92.0ms

Filtered
30 candidates to 41 candidates (-36.7%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New41041
Fresh000
Picked011
Done000
Total41142

Merged error: 52.0b

Counts
42 → 1

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01719
12119
22419
32819
done2819

end0.0ms

sample701.0ms

Algorithm
intervals
Results
299.0ms8000×body80valid
158.0ms8000×pre80true

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