Details

Time bar (total: 2.6s)

sample14.0ms

Algorithm
intervals
Results
6.0ms345×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
062
1102
2102

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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
(- x (* y y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×add-sqr-sqrt
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip-- difference-of-squares
Counts
1 → 13
Calls
1 calls:
3.0ms
(- x (* y y))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(- x (* y y))

simplify84.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
07664
123959
264758
3242958
4500258

prune26.0ms

Filtered
16 candidates to 12 candidates (75.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New14216
Fresh000
Picked011
Done000
Total14317

Merged error: 0b

Counts
17 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))
0.6b
(cbrt (- x (* y y)))
0.6b
(cbrt (- x (* y y)))
0.6b
(cbrt (- x (* y y)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
30×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
7×swap-sqr associate-*r* associate-*l* difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
9.0ms
(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))
2.0ms
(cbrt (- x (* y y)))
2.0ms
(cbrt (- x (* y y)))
2.0ms
(cbrt (- x (* y y)))

series1.2s

Counts
4 → 12
Calls
4 calls:
332.0ms
(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))
275.0ms
(cbrt (- x (* y y)))
285.0ms
(cbrt (- x (* y y)))
273.0ms
(cbrt (- x (* y y)))

simplify137.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 3 (127.0ms)

IterNodesCost
0283900
1966849
24423795
35002790

prune209.0ms

Filtered
105 candidates to 81 candidates (77.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done011
Total1053108

Merged error: 0b

Counts
108 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×sqrt-prod
18×pow1
12×sqrt-div
11×add-cube-cbrt *-un-lft-identity
9×swap-sqr
8×flip3-- sqrt-pow1 pow1/2 flip--
7×associate-*r* associate-*l* add-log-exp
6×difference-of-squares
5×add-exp-log pow-prod-up add-cbrt-cube
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×sub-neg diff-log associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
3 → 86
Calls
3 calls:
3.0ms
(- x (* y y))
3.0ms
(- x (* y y))
9.0ms
(* (sqrt (- x (* y y))) (sqrt (- x (* y y))))

series115.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- x (* y y))
33.0ms
(- x (* y y))
49.0ms
(* (sqrt (- x (* y y))) (sqrt (- x (* y y))))

simplify181.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 3 (168.0ms)

IterNodesCost
0205496
1788445
24435427
35002414

prune118.0ms

Filtered
95 candidates to 51 candidates (53.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh000
Picked011
Done022
Total95398

Merged error: 0b

Counts
98 → 3

regimes55.0ms

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
042

end0.0ms

sample371.0ms

Algorithm
intervals
Results
201.0ms10687×body80valid

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