Details

Time bar (total: 3.6s)

sample34.0ms

Algorithm
intervals
Results
19.0ms676×body80valid

simplify135.0ms

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))

rewrite10.0ms

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:
9.0ms
(- (pow x 4.0) (pow y 4.0))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(- (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

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

11.4b
(sqrt (pow y 4.0))
11.4b
(sqrt (pow y 4.0))
14.9b
(sqrt (pow x 4.0))
14.9b
(sqrt (pow x 4.0))

rewrite8.0ms

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 sqrt-pow1 pow1/2 add-cbrt-cube add-log-exp
Counts
4 → 76
Calls
4 calls:
2.0ms
(sqrt (pow y 4.0))
2.0ms
(sqrt (pow y 4.0))
2.0ms
(sqrt (pow x 4.0))
2.0ms
(sqrt (pow x 4.0))

series1.4s

Counts
4 → 12
Calls
4 calls:
346.0ms
(sqrt (pow y 4.0))
347.0ms
(sqrt (pow y 4.0))
343.0ms
(sqrt (pow x 4.0))
348.0ms
(sqrt (pow x 4.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0136332
1256320
2595320
31709320
45001320

prune276.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.5b
(+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))
44.5b
(/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
85×*-un-lft-identity
35×distribute-lft-out
30×times-frac
28×unpow-prod-down
15×add-sqr-sqrt add-cube-cbrt
14×distribute-rgt-neg-in
6×associate-/l* add-log-exp
5×associate-/r*
4×add-exp-log add-cbrt-cube
3×flip3-+ div-sub flip-+
2×pow1 neg-sub0 associate-+r- unsub-neg sum-log associate-/r/ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp neg-log clear-num div-inv
Counts
2 → 78
Calls
2 calls:
16.0ms
(+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))
57.0ms
(/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))

series201.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))
109.0ms
(/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
02671045
11273948
25001909

prune161.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes94.0ms

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

sample890.0ms

Algorithm
intervals
Results
567.0ms20274×body80valid