Details

Time bar (total: 5.0s)

sample50.0ms

Algorithm
intervals
Results
34.0ms688×body80valid

simplify133.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:
10.0ms
(- (pow x 4.0) (pow y 4.0))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(- (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

prune69.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

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))))
10.3b
(sqrt (pow y 4.0))
10.3b
(sqrt (pow y 4.0))

rewrite94.0ms

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
6×pow1 add-exp-log rem-sqrt-square add-cbrt-cube add-log-exp
4×frac-times flip3-- associate-*l* flip--
3×sub-neg flip3-+ flip-+
2×distribute-rgt-in distribute-lft-in sqrt-pow1 pow1/2 associate-*r/ associate-*l/ distribute-lft-out--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
4 → 107
Calls
4 calls:
11.0ms
(- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))
76.0ms
(* (+ (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))

series824.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))
66.0ms
(* (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))
356.0ms
(sqrt (pow y 4.0))
358.0ms
(sqrt (pow y 4.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
03771132
116441045
250011031

prune344.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

10.3b
(sqrt (pow y 4.0))
10.3b
(sqrt (pow y 4.0))
24.8b
(sqrt (sqrt (pow y 4.0)))
24.8b
(sqrt (sqrt (pow y 4.0)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
54×sqrt-prod
24×add-sqr-sqrt
16×unpow-prod-down
14×add-cube-cbrt rem-sqrt-square *-un-lft-identity
10×sqrt-pow1
8×sqr-pow
6×pow1 pow1/2
4×add-exp-log add-cbrt-cube add-log-exp
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (pow y 4.0))
2.0ms
(sqrt (pow y 4.0))
3.0ms
(sqrt (sqrt (pow y 4.0)))
3.0ms
(sqrt (sqrt (pow y 4.0)))

series1.4s

Counts
4 → 12
Calls
4 calls:
354.0ms
(sqrt (pow y 4.0))
342.0ms
(sqrt (pow y 4.0))
352.0ms
(sqrt (sqrt (pow y 4.0)))
354.0ms
(sqrt (sqrt (pow y 4.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0124428
1234406
2689404
31879404
45002404

prune371.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes82.0ms

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

sample1.4s

Algorithm
intervals
Results
1.0s20520×body80valid