Details

Time bar (total: 18.9s)

sample52.0ms

Algorithm
intervals
Results
27.0ms650×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1147
2297
3697
42007
56117
629167
done50007

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (pow x 4.0) (pow y 4.0))

rewrite27.0ms

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:
26.0ms
(- (pow x 4.0) (pow y 4.0))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(- (pow x 4.0) (pow y 4.0))

simplify5.0s

Counts
26 → 26
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
061356
1127345
2305331
3995331
44931331
done5001331

prune139.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite274.0ms

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:
39.0ms
(- (pow x 4.0) (pow y 4.0))
143.0ms
(* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))
25.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))
50.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))

series365.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- (pow x 4.0) (pow y 4.0))
75.0ms
(* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))
97.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))
105.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))

simplify2.3s

Counts
179 → 179
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01843514
13062563
28512463
321902424
done50002398

prune766.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

3.7b
(sqrt (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)))
17.6b
(sqrt (- (pow x 4.0) (pow y 4.0)))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
74×sqrt-prod
62×add-sqr-sqrt
36×difference-of-squares
32×unpow-prod-down
25×*-un-lft-identity
24×sqr-pow
10×sqrt-div
9×pow1 add-cube-cbrt
8×distribute-lft-out--
7×sqrt-pow1
5×rem-sqrt-square pow1/2
4×add-exp-log flip3-- add-cbrt-cube flip-- add-log-exp
Counts
4 → 110
Calls
4 calls:
49.0ms
(sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))
47.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))
53.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))
28.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))

series436.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))
109.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))
100.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))
123.0ms
(sqrt (- (pow x 4.0) (pow y 4.0)))

simplify3.7s

Counts
122 → 122
Iterations

Useful iterations: 3 (316.0ms)

IterNodesCost
01361849
12261683
24221658
310531653
441031653
done50011653

prune629.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
done67

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.1s20563×body80valid