Details

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	231×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	3
1	11	3
2	11	3

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x x))
0.0b	(sqrt (- 1.0 (* x x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`sqrt-prod` `add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
2×	`add-exp-log` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `difference-of-squares`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

2 → 29

Calls

2 calls:

2.0ms	(- 1.0 (* x x))
2.0ms	(sqrt (- 1.0 (* x x)))

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(- 1.0 (* x x))
4.0ms	(sqrt (- 1.0 (* x x)))

simplify84.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	172	188
1	581	181
2	2888	178
3	5001	177

prune106.0ms

Filtered

35 candidates to 27 candidates (22.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	2	36

Merged error: 0b

Counts

36 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* x x))
0.0b	(exp (sqrt (- 1.0 (* x x))))
0.0b	(log (exp (sqrt (- 1.0 (* x x)))))
0.0b	(sqrt (- 1.0 (* x x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
14×	`exp-prod`
12×	`sqrt-prod`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`log-pow`
7×	`add-log-exp`
6×	`pow1`
4×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
3×	`log-prod`
2×	`flip3--` `sqrt-div` `flip--`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `rem-log-exp` `rem-exp-log`

Counts

4 → 63

Calls

4 calls:

3.0ms	(- 1.0 (* x x))
3.0ms	(exp (sqrt (- 1.0 (* x x))))
3.0ms	(log (exp (sqrt (- 1.0 (* x x)))))
2.0ms	(sqrt (- 1.0 (* x x)))

series20.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- 1.0 (* x x))
5.0ms	(exp (sqrt (- 1.0 (* x x))))
4.0ms	(log (exp (sqrt (- 1.0 (* x x)))))
7.0ms	(sqrt (- 1.0 (* x x)))

simplify123.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	251	443
1	855	420
2	4326	407
3	5001	403

prune256.0ms

Filtered

75 candidates to 56 candidates (25.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	75	2	77

Merged error: 0b

Counts

77 → 2

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* x x))
0.0b	(sqrt (- 1.0 (* x x)))
0.0b	(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
0.0b	(pow (sqrt (- 1.0 (* x x))) 3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`cbrt-prod` `sqrt-prod`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`unpow-prod-down` `cube-prod`
7×	`pow1`
6×	`sqrt-div` `add-log-exp` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3--` `flip--`
3×	`pow-unpow` `pow-pow`
2×	`cube-mult` `cbrt-div` `sqrt-pow1` `pow1/2` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `rem-sqrt-square` `pow1/3` `diff-log` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 96

Calls

4 calls:

3.0ms	(- 1.0 (* x x))
2.0ms	(sqrt (- 1.0 (* x x)))
4.0ms	(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
4.0ms	(pow (sqrt (- 1.0 (* x x))) 3)

series21.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- 1.0 (* x x))
4.0ms	(sqrt (- 1.0 (* x x)))
5.0ms	(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
8.0ms	(pow (sqrt (- 1.0 (* x x))) 3)

simplify46.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	354	655
1	1386	628
2	5001	606

prune306.0ms

Filtered

108 candidates to 64 candidates (40.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	108	2	110

Merged error: 0b

Counts

110 → 2

regimes278.0ms

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)

Iter	Nodes	Cost
0	7	5

end0.0ms

sample535.0ms

Algorithm

intervals

Results

163.0ms	8000×	body	80	valid
154.0ms	8038×	body	80	nan

Details

sample24.0ms

simplify4.0ms

prune3.0ms

localize4.0ms

rewrite5.0ms

series8.0ms

simplify84.0ms

prune106.0ms

localize8.0ms

rewrite13.0ms

series20.0ms

simplify123.0ms

prune256.0ms

localize6.0ms

rewrite16.0ms

series21.0ms

simplify46.0ms

prune306.0ms

regimes278.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample535.0ms

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