Details

Time bar (total: 1.9s)

sample18.0ms

Algorithm
intervals
Results
8.0ms465×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

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
(+ (* x x) (* y y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
3.0ms
(+ (* x x) (* y y))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(+ (* x x) (* y y))

simplify47.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
010177
146566
2124066
3500166

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
6.1b
(sqrt (+ (* x x) (* y y)))
6.1b
(sqrt (+ (* x x) (* y y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
2.0ms
(+ (* x x) (* y y))
19.0ms
(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
3.0ms
(sqrt (+ (* x x) (* y y)))
3.0ms
(sqrt (+ (* x x) (* y y)))

series133.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* x x) (* y y))
30.0ms
(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
36.0ms
(sqrt (+ (* x x) (* y y)))
40.0ms
(sqrt (+ (* x x) (* y y)))

simplify208.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0198720
1892654
24766634
35001634

prune178.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
6.1b
(sqrt (+ (* x x) (* y y)))
6.1b
(sqrt (+ (* x x) (* y y)))
6.1b
(sqrt (+ (* x x) (* y y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
75×sqrt-prod
52×add-sqr-sqrt
35×sqrt-pow1
30×pow1 sqrt-div
19×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×flip3-+ associate-*r* associate-*l* pow-prod-up flip-+ unswap-sqr
6×add-exp-log add-cbrt-cube
5×pow-prod-down pow-sqr
4×frac-times add-log-exp
3×rem-sqrt-square
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 128
Calls
4 calls:
25.0ms
(* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
4.0ms
(sqrt (+ (* x x) (* y y)))
3.0ms
(sqrt (+ (* x x) (* y y)))
3.0ms
(sqrt (+ (* x x) (* y y)))

series153.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
36.0ms
(sqrt (+ (* x x) (* y y)))
36.0ms
(sqrt (+ (* x x) (* y y)))
40.0ms
(sqrt (+ (* x x) (* y y)))

simplify215.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 3 (204.0ms)

IterNodesCost
0211990
1774923
24448902
35001875

prune254.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes56.0ms

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
163

end0.0ms

sample474.0ms

Algorithm
intervals
Results
254.0ms14336×body80valid