Details

Time bar (total: 3.1s)

sample21.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
3.0ms295×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity sqrt-prod
3×add-sqr-sqrt
2×pow1 add-cube-cbrt sqrt-div
1×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
1 → 16
Calls
1 calls:
7.0ms
(sqrt (+ x y))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(sqrt (+ x y))

simplify68.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (23.0ms)

IterNodesCost
011389
127581
283678
3236173
4500273

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.1b
(sqrt (sqrt (+ x y)))
0.1b
(sqrt (sqrt (+ x y)))
0.5b
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
110×sqrt-prod
56×add-sqr-sqrt
41×*-un-lft-identity sqrt-pow1
34×sqrt-div
32×pow1
21×add-cube-cbrt pow1/2
18×swap-sqr
10×associate-*r* associate-*l*
9×flip3-+ pow-prod-up flip-+ distribute-lft-out unswap-sqr
6×add-exp-log add-cbrt-cube
5×rem-sqrt-square pow-prod-down pow-sqr
4×frac-times add-log-exp
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 148
Calls
4 calls:
6.0ms
(sqrt (+ x y))
8.0ms
(sqrt (sqrt (+ x y)))
10.0ms
(sqrt (sqrt (+ x y)))
43.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series417.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(sqrt (+ x y))
176.0ms
(sqrt (sqrt (+ x y)))
175.0ms
(sqrt (sqrt (+ x y)))
31.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0329840
11374762
25002748

prune230.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
0.5b
(* (sqrt (sqrt (+ x y))) (sqrt (* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt sqrt-div
24×sqrt-prod
22×*-un-lft-identity
14×add-cube-cbrt associate-*r*
13×pow1 cbrt-prod associate-*l*
12×cbrt-div
10×associate-*r/
9×flip3-+ flip-+
8×add-exp-log add-cbrt-cube
6×pow-prod-down unswap-sqr
4×frac-times sqrt-pow1 distribute-lft-out add-log-exp
2×pow1/2 pow1/3 associate-*l/ prod-exp *-commutative cbrt-unprod
1×sqrt-unprod
Counts
4 → 97
Calls
4 calls:
24.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
53.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))))
6.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))

series1.1s

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
494.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))))
303.0ms
(cbrt (+ x y))
114.0ms
(cbrt (+ x y))

simplify56.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05271234
118721178
250011159

prune353.0ms

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
052
152

end0.0ms

sample540.0ms

Algorithm
intervals
Results
112.0ms8000×body80valid
100.0ms8024×body80nan