Details

Time bar (total: 2.7s)

sample37.0ms

Algorithm
intervals
Results
23.0ms628×body80valid

simplify131.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1293
2683
32043
47763
539863
650023

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:
7.0ms
(- (pow x 4.0) (pow y 4.0))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(- (pow x 4.0) (pow y 4.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0126172
1340165
21287165
35001165

prune63.0ms

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
(+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))
0.3b
(* (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))
13.6b
(sqrt (pow y 4.0))
13.6b
(sqrt (pow y 4.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
23×sqrt-prod
16×*-un-lft-identity associate-*r*
15×unpow-prod-down
12×difference-of-squares
11×sqr-pow
10×add-cube-cbrt
6×pow1 add-exp-log rem-sqrt-square add-cbrt-cube add-log-exp
4×frac-times flip3-+ associate-*l* flip-+
3×flip3-- flip--
2×distribute-rgt-in sub-neg distribute-lft-in sqrt-pow1 pow1/2 associate-*r/ associate-*l/ distribute-lft-out
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 94
Calls
4 calls:
10.0ms
(+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))
20.0ms
(* (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))
2.0ms
(sqrt (pow y 4.0))
2.0ms
(sqrt (pow y 4.0))

series791.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))
64.0ms
(* (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))
341.0ms
(sqrt (pow y 4.0))
342.0ms
(sqrt (pow y 4.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0355958
11584872
25001858

prune285.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes78.0ms

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
750.0ms20319×body80valid