Details

Time bar (total: 19.7s)

sample64.0ms

Algorithm
intervals
Results
33.0ms680×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1147
2307
3747
42137
56587
631717
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

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:
41.0ms
(- (pow x 4.0) (pow y 4.0))

series69.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(- (pow x 4.0) (pow y 4.0))

simplify3.9s

Counts
84 → 84
Iterations

Useful iterations: done (3.9s)

IterNodesCost
01522374
13131687
27141361
330111158
done5000934

prune193.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

8.5b
(sqrt (pow x 4.0))
8.5b
(sqrt (pow x 4.0))
14.2b
(sqrt (pow y 4.0))
14.2b
(sqrt (pow y 4.0))

rewrite34.0ms

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:
6.0ms
(sqrt (pow x 4.0))
6.0ms
(sqrt (pow x 4.0))
6.0ms
(sqrt (pow y 4.0))
13.0ms
(sqrt (pow y 4.0))

series2.3s

Counts
4 → 12
Calls
4 calls:
579.0ms
(sqrt (pow x 4.0))
564.0ms
(sqrt (pow x 4.0))
535.0ms
(sqrt (pow y 4.0))
578.0ms
(sqrt (pow y 4.0))

simplify3.3s

Counts
96 → 96
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
079704
1140644
2257636
3565636
41488636
54384636
done5001636

prune566.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))
19.1b
(cbrt (- (pow x 4.0) (pow y 4.0)))
19.1b
(cbrt (- (pow x 4.0) (pow y 4.0)))
19.1b
(cbrt (- (pow x 4.0) (pow y 4.0)))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
106×cbrt-prod
63×difference-of-squares
56×unpow-prod-down
49×*-un-lft-identity
42×sqr-pow
19×swap-sqr
18×cbrt-div
17×associate-*r* associate-*l*
16×distribute-lft-out--
15×add-cube-cbrt
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 163
Calls
4 calls:
182.0ms
(* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))
13.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))
23.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))
24.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))

series494.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))
113.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))
120.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))
145.0ms
(cbrt (- (pow x 4.0) (pow y 4.0)))

simplify2.3s

Counts
175 → 175
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01833529
13163310
28473186
318762983
done50002972

prune873.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes121.0ms

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

sample2.1s

Algorithm
intervals
Results
1.4s20632×body80valid