Details

Time bar (total: 4.0s)

sample22.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
3.0ms210×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite3.0ms

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:
3.0ms
(sqrt (+ x y))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(sqrt (+ x y))

simplify39.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
011587
134085
2130685
3500283

prune39.0ms

Filtered
19 candidates to 14 candidates (26.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New17219
Fresh000
Picked011
Done000
Total17320

Merged error: 0.0b

Counts
20 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (cbrt (+ x y)))
0.4b
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
18×cbrt-prod
16×sqrt-prod
12×add-cube-cbrt
10×associate-*r*
8×cbrt-div
7×pow1
6×add-exp-log add-cbrt-cube
4×flip3-+ sqrt-div flip-+ distribute-lft-out add-log-exp
3×pow1/3 associate-*l* unswap-sqr
2×rem-sqrt-square sqrt-pow1 associate-*r/
1×pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 78
Calls
4 calls:
3.0ms
(sqrt (cbrt (+ x y)))
11.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series148.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(sqrt (cbrt (+ x y)))
55.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
31.0ms
(cbrt (+ x y))
30.0ms
(cbrt (+ x y))

simplify101.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0341694
11023662
24044631
35002611

prune376.0ms

Filtered
90 candidates to 71 candidates (21.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New88290
Fresh101
Picked011
Done011
Total89493

Merged error: 0.0b

Counts
93 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.4b
(* (fabs (cbrt (+ x y))) (fabs (cbrt (sqrt (+ x y)))))
0.5b
(cbrt (+ x y))
0.6b
(cbrt (sqrt (+ x y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
13×add-sqr-sqrt
11×cbrt-prod
10×add-cube-cbrt
8×sqrt-prod
7×pow1
6×add-exp-log add-cbrt-cube
4×cbrt-div sqrt-div add-log-exp
3×flip3-+ associate-*r* associate-*l* flip-+ distribute-lft-out
2×pow1/3
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 65
Calls
4 calls:
3.0ms
(sqrt (+ x y))
3.0ms
(* (fabs (cbrt (+ x y))) (fabs (cbrt (sqrt (+ x y)))))
3.0ms
(cbrt (+ x y))
6.0ms
(cbrt (sqrt (+ x y)))

series69.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (+ x y))
9.0ms
(* (fabs (cbrt (+ x y))) (fabs (cbrt (sqrt (+ x y)))))
31.0ms
(cbrt (+ x y))
22.0ms
(cbrt (sqrt (+ x y)))

simplify38.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0411577
11257525
25001501

prune429.0ms

Filtered
77 candidates to 60 candidates (22.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh011
Picked011
Done022
Total77481

Merged error: 0.0b

Counts
81 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.5b
(/ (cbrt (- (* x x) (* y y))) (cbrt (- x y)))
3.9b
(- (* x x) (* y y))
28.5b
(cbrt (- (* x x) (* y y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
85×cbrt-prod
58×add-sqr-sqrt *-un-lft-identity
56×times-frac
40×add-cube-cbrt
20×difference-of-squares
9×distribute-lft-out--
8×cbrt-div associate-/r*
7×associate-/l*
6×add-exp-log add-log-exp
5×flip3-- flip--
4×pow1 add-cbrt-cube
2×pow1/3 associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 129
Calls
4 calls:
3.0ms
(cbrt (- x y))
9.0ms
(/ (cbrt (- (* x x) (* y y))) (cbrt (- x y)))
3.0ms
(- (* x x) (* y y))
3.0ms
(cbrt (- (* x x) (* y y)))

series85.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- x y))
32.0ms
(/ (cbrt (- (* x x) (* y y))) (cbrt (- x y)))
6.0ms
(- (* x x) (* y y))
22.0ms
(cbrt (- (* x x) (* y y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04631551
114631511
250021483

prune1.7s

Filtered
141 candidates to 117 candidates (17.0%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1401141
Fresh000
Picked011
Done033
Total1405145

Merged error: 0b

Counts
145 → 5

regimes198.0ms

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

sample613.0ms

Algorithm
intervals
Results
135.0ms8000×body80valid
125.0ms7997×body80nan

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