Details

Time bar (total: 1.1s)

sample14.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
5.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
183
283

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (fabs (- x y)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity
add-exp-log rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube add-log-exp
Counts
1 → 13
Calls
1 calls:
1.0ms
(sqrt (fabs (- x y)))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(sqrt (fabs (- x y)))

simplify92.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 7 (25.0ms)

IterNodesCost
02664
13062
23362
33862
45762
511162
653862
7177061
8500161

prune20.0ms

Filtered
10 candidates to 16 candidates (-60.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New14216
Fresh000
Picked011
Done000
Total14317

Merged error: 0.0b

Counts
17 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.1b
(sqrt (sqrt (fabs (- x y))))
0.1b
(sqrt (sqrt (fabs (- x y))))
0.5b
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
89×sqrt-prod
56×add-sqr-sqrt
41×sqrt-pow1
32×pow1
21×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
associate-*r* associate-*l* pow-prod-up unswap-sqr
add-exp-log add-cbrt-cube
rem-sqrt-square pow-prod-down pow-sqr
add-log-exp
pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 126
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
2.0ms
(sqrt (sqrt (fabs (- x y))))
2.0ms
(sqrt (sqrt (fabs (- x y))))
9.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (fabs (- x y)))
12.0ms
(sqrt (sqrt (fabs (- x y))))
12.0ms
(sqrt (sqrt (fabs (- x y))))
5.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify144.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 3 (135.0ms)

IterNodesCost
0131718
1513658
22953642
35002627

prune68.0ms

Filtered
58 candidates to 138 candidates (-137.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1371138
Fresh101
Picked011
Done011
Total1383141

Merged error: 0b

Counts
141 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y)))))
0.4b
(* (* (fabs (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (sqrt (cbrt (sqrt (fabs (- x y))))))
0.6b
(cbrt (sqrt (fabs (- x y))))
0.6b
(cbrt (sqrt (fabs (- x y))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-prod
22×add-sqr-sqrt
21×associate-*r*
18×cbrt-prod
16×add-cube-cbrt *-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
unswap-sqr
pow1/3 *-commutative
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (fabs (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y)))))
11.0ms
(* (* (fabs (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (sqrt (cbrt (sqrt (fabs (- x y))))))
2.0ms
(cbrt (sqrt (fabs (- x y))))
2.0ms
(cbrt (sqrt (fabs (- x y))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (fabs (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y)))))
18.0ms
(* (* (fabs (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (sqrt (cbrt (sqrt (fabs (- x y))))))
12.0ms
(cbrt (sqrt (fabs (- x y))))
12.0ms
(cbrt (sqrt (fabs (- x y))))

simplify80.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
02131145
19341035
231661018
350011008

prune65.0ms

Filtered
54 candidates to 93 candidates (-72.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh000
Picked011
Done022
Total93396

Merged error: 0b

Counts
96 → 3

regimes203.0ms

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
053

end0.0ms

sample286.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
172.0ms8000×body80valid

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