Details

analyze251.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 24.292737%

Guaranteed chance to sample good point: 98.961018%

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify407.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	3
1	16	3
2	26	3
3	33	3
4	33	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) y)

rewrite10.0ms

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:

9.0ms

(- (* x x) y)

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(- (* x x) y)

simplify62.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	73	63
1	216	56
2	535	56
3	1794	56
4	5001	56

prune22.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

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)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`sqrt-prod`
20×	`pow1`
14×	`sqrt-div`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`flip3--` `sqrt-pow1` `pow1/2` `swap-sqr` `flip--`
8×	`add-log-exp`
7×	`associate-r` `associate-l` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`sub-neg` `diff-log` `associate-r/` `associate-l/`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

5.0ms	(sqrt (- (* x x) y))
4.0ms	(- (* x x) y)
4.0ms	(- (* x x) y)
23.0ms	(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

series19.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt (- (* x x) y))
4.0ms	(- (* x x) y)
4.0ms	(- (* x x) y)
4.0ms	(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

simplify200.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 3 (191.0ms)

Iter	Nodes	Cost
0	212	584
1	811	528
2	4671	514
3	5001	501

prune90.0ms

Filtered

66 candidates to 114 candidates (-72.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	114	2	116

Merged error: 0b

Counts

116 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (- (* x x) y))) (sqrt (- (* x x) y)))
0.2b	(* (* (fabs (cbrt (- (* x x) y))) (sqrt (- (* x x) y))) (sqrt (cbrt (- (* x x) y))))
0.6b	(cbrt (- (* x x) y))
0.6b	(cbrt (- (* x x) y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`associate-r`
14×	`sqrt-div`
12×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`cbrt-div` `associate-*r/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp` `difference-of-squares`
2×	`pow1/3` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

8.0ms	(* (fabs (cbrt (- (* x x) y))) (sqrt (- (* x x) y)))
14.0ms	(* (* (fabs (cbrt (- (* x x) y))) (sqrt (- (* x x) y))) (sqrt (cbrt (- (* x x) y))))
4.0ms	(cbrt (- (* x x) y))
4.0ms	(cbrt (- (* x x) y))

series87.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (fabs (cbrt (- (* x x) y))) (sqrt (- (* x x) y)))
34.0ms	(* (* (fabs (cbrt (- (* x x) y))) (sqrt (- (* x x) y))) (sqrt (cbrt (- (* x x) y))))
18.0ms	(cbrt (- (* x x) y))
19.0ms	(cbrt (- (* x x) y))

simplify54.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	474	1185
1	1919	1092
2	5002	1062

prune118.0ms

Filtered

79 candidates to 98 candidates (-24.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	2	100

Merged error: 0b

Counts

100 → 2

regimes164.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

analyze53.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 24.292737%

Guaranteed chance to sample good point: 98.961018%

sample315.0ms

Algorithm

intervals

Results

181.0ms	8000×	body	80	valid
2.0ms	74×	body	80	invalid

Details

analyze251.0ms

sample15.0ms

simplify407.0ms

prune5.0ms

localize7.0ms

rewrite10.0ms

series12.0ms

simplify62.0ms

prune22.0ms

localize7.0ms

rewrite39.0ms

series19.0ms

simplify200.0ms

prune90.0ms

localize14.0ms

rewrite33.0ms

series87.0ms

simplify54.0ms

prune118.0ms

regimes164.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze53.0ms

sample315.0ms

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