Details

Time bar (total: 14.4s)

sample121.0ms

Algorithm
intervals
Results
35.0ms654×body80valid

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
95297
81277
7551
6277
5123
468
351
238
114
06

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (pow x 4) (pow y 4))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
difference-of-squares
unpow-prod-down
sqr-pow
*-un-lft-identity
add-log-exp
distribute-lft-out--
pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 flip--
Counts
1 → 24
Calls
1 calls:
13.0ms
(- (pow x 4) (pow y 4))

series71.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(- (pow x 4) (pow y 4))

simplify2.7s

Counts
27 → 27
Iterations
IterNodes
44902
3898
2288
1118
058

prune254.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (pow x (/ 4 2)) (sqrt (pow y 4)))
0.3b
(* (+ (pow x (/ 4 2)) (sqrt (pow y 4))) (- (pow x (/ 4 2)) (sqrt (pow y 4))))
12.4b
(sqrt (pow y 4))
12.4b
(sqrt (pow y 4))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
32×sqrt-prod
24×difference-of-squares
22×unpow-prod-down
18×sqr-pow
16×*-un-lft-identity associate-*r*
10×add-cube-cbrt
pow1 rem-sqrt-square add-cbrt-cube add-exp-log add-log-exp
frac-times flip3-- associate-*l* insert-posit16 flip--
sub-neg flip3-+ flip-+
distribute-rgt-in distribute-lft-in sqrt-pow1 pow1/2 associate-*l/ associate-*r/ distribute-lft-out--
diff-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
4 → 111
Calls
4 calls:
13.0ms
(- (pow x (/ 4 2)) (sqrt (pow y 4)))
106.0ms
(* (+ (pow x (/ 4 2)) (sqrt (pow y 4))) (- (pow x (/ 4 2)) (sqrt (pow y 4))))
4.0ms
(sqrt (pow y 4))
4.0ms
(sqrt (pow y 4))

series220.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (pow x (/ 4 2)) (sqrt (pow y 4)))
112.0ms
(* (+ (pow x (/ 4 2)) (sqrt (pow y 4))) (- (pow x (/ 4 2)) (sqrt (pow y 4))))
39.0ms
(sqrt (pow y 4))
29.0ms
(sqrt (pow y 4))

simplify2.9s

Counts
123 → 123
Iterations
IterNodes
35048
21275
1376
0136

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes193.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
16
06

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.1s20707×body80valid