Details

Time bar (total: 4.1s)

sample38.0ms

Algorithm
intervals
Results
24.0ms619×body80valid

simplify138.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1303
2733
32173
48193
542433
650013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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
difference-of-squares
fma-neg
add-log-exp
distribute-lft-out--
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:
8.0ms
(- (pow x 4.0) (pow y 4.0))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(- (pow x 4.0) (pow y 4.0))

simplify139.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
03151099
1873775
24757725
35001720

prune133.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))
0.3b
(* (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))
12.8b
(sqrt (pow x 4.0))
12.8b
(sqrt (pow x 4.0))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
140×prod-diff
128×sqrt-prod
120×unpow-prod-down
118×add-sqr-sqrt
101×*-un-lft-identity
95×add-cube-cbrt
72×distribute-rgt-in distribute-lft-in
46×sqr-pow
16×associate-*r*
12×difference-of-squares
10×fma-def
pow1 add-exp-log rem-sqrt-square add-cbrt-cube add-log-exp
expm1-log1p-u frac-times flip3-+ associate-*l* flip-+ log1p-expm1-u
flip3-- flip--
sub-neg sqrt-pow1 pow1/2 associate-*r/ associate-*l/ distribute-lft-out
+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 252
Calls
4 calls:
8.0ms
(+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))
29.0ms
(* (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))
3.0ms
(sqrt (pow x 4.0))
2.0ms
(sqrt (pow x 4.0))

series1.7s

Counts
4 → 12
Calls
4 calls:
174.0ms
(+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))
840.0ms
(* (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))
359.0ms
(sqrt (pow x 4.0))
350.0ms
(sqrt (pow x 4.0))

simplify135.0ms

Algorithm
egg-herbie
Counts
264 → 264
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
011506288
143874919
250014864

prune461.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes80.0ms

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

sample1.1s

Algorithm
intervals
Results
800.0ms20568×body80valid