Details

Time bar (total: 2.1s)

sample20.0ms

Algorithm
intervals
Results
13.0ms344×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
093
1123
2133
3133

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x x) 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)

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(+ (* x x) y)

simplify90.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08157
128450
268850
3250650
4500150

prune28.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (* x x) y))
0.0b
(+ (* x x) y)
0.0b
(+ (* x x) y)
0.2b
(* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
14×sqrt-div
13×add-cube-cbrt *-un-lft-identity
9×sqrt-pow1 flip3-+ pow1/2 flip-+
8×swap-sqr add-log-exp
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-*r/ associate-*l/ sum-log
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 94
Calls
4 calls:
4.0ms
(sqrt (+ (* x x) y))
3.0ms
(+ (* x x) y)
3.0ms
(+ (* x x) y)
23.0ms
(* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))

series101.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(sqrt (+ (* x x) y))
18.0ms
(+ (* x x) y)
19.0ms
(+ (* x x) y)
22.0ms
(* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))

simplify205.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0213550
1846492
24771477
35001477

prune173.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (+ (* x x) y)))
0.0b
(sqrt (sqrt (+ (* x x) y)))
0.2b
(* (sqrt (+ (* x x) y)) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))
0.3b
(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
122×sqrt-div
91×sqrt-pow1 sqrt-prod
69×pow1
60×add-sqr-sqrt
47×pow1/2
39×pow-prod-up
35×flip3-+ flip-+
32×frac-times
22×add-cube-cbrt *-un-lft-identity
17×swap-sqr
16×associate-*r/
15×associate-*l*
12×pow-prod-down
11×add-exp-log pow-sqr add-cbrt-cube unswap-sqr
10×associate-*r* associate-*l/
4×rem-sqrt-square prod-exp cbrt-unprod add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 197
Calls
4 calls:
5.0ms
(sqrt (sqrt (+ (* x x) y)))
5.0ms
(sqrt (sqrt (+ (* x x) y)))
59.0ms
(* (sqrt (+ (* x x) y)) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))
30.0ms
(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))

series214.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(sqrt (sqrt (+ (* x x) y)))
74.0ms
(sqrt (sqrt (+ (* x x) y)))
20.0ms
(* (sqrt (+ (* x x) y)) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))
46.0ms
(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))

simplify71.0ms

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04921715
118231484
250011462

prune353.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

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
073
173

end0.0ms

sample579.0ms

Algorithm
intervals
Results
403.0ms10729×body80valid