Details

Time bar (total: 5.6s)

sample39.0ms

Algorithm
intervals
Results
24.0ms719×body80valid

simplify136.0ms

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

localize6.0ms

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
difference-of-squares
unpow-prod-down
sqr-pow
*-un-lft-identity
add-log-exp
distribute-lft-out--
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))

series47.0ms

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

simplify50.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0126172
1340165
21287165
35001165

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

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))))
9.9b
(sqrt (pow x 4.0))
9.9b
(sqrt (pow x 4.0))

rewrite105.0ms

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
pow1 add-exp-log rem-sqrt-square add-cbrt-cube add-log-exp
frac-times flip3-+ associate-*l* flip-+
flip3-- flip--
distribute-rgt-in sub-neg distribute-lft-in 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 → 94
Calls
4 calls:
12.0ms
(+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))
86.0ms
(* (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))
2.0ms
(sqrt (pow x 4.0))
2.0ms
(sqrt (pow x 4.0))

series1.8s

Counts
4 → 12
Calls
4 calls:
177.0ms
(+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))
844.0ms
(* (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))
362.0ms
(sqrt (pow x 4.0))
368.0ms
(sqrt (pow x 4.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0372957
11664871
25001861

prune318.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

9.9b
(sqrt (pow x 4.0))
9.9b
(sqrt (pow x 4.0))
22.5b
(sqrt (sqrt (pow x 4.0)))
22.5b
(sqrt (sqrt (pow x 4.0)))

rewrite15.0ms

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
sqr-pow
pow1 pow1/2
add-exp-log add-cbrt-cube add-log-exp
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (pow x 4.0))
2.0ms
(sqrt (pow x 4.0))
3.0ms
(sqrt (sqrt (pow x 4.0)))
3.0ms
(sqrt (sqrt (pow x 4.0)))

series1.5s

Counts
4 → 12
Calls
4 calls:
371.0ms
(sqrt (pow x 4.0))
368.0ms
(sqrt (pow x 4.0))
359.0ms
(sqrt (sqrt (pow x 4.0)))
358.0ms
(sqrt (sqrt (pow x 4.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0124424
1235404
2698404
31890404
45001404

prune393.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes100.0ms

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

sample925.0ms

Algorithm
intervals
Results
586.0ms20420×body80valid