Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample16.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	90	6
1	90	6

prune2.0ms

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

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

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 → 28

Calls

2 calls:

3.0ms	(- 1.0 (* x x))
3.0ms	(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)))

simplify35.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4986	310
1	4986	310

prune54.0ms

Filtered

27 candidates to 34 candidates (-25.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	2	35

Merged error: 0b

Counts

35 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

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

series12.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify24.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	4928	462
1	4928	462

prune77.0ms

Filtered

43 candidates to 57 candidates (-32.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	57	2	59

Merged error: 0b

Counts

59 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (- (* 1.0 1.0) (pow x 4)))
0.0b	(- (* 1.0 1.0) (pow x 4))
0.0b	(/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

78×	`sqrt-prod`
57×	`add-sqr-sqrt`
54×	`times-frac`
38×	`add-cube-cbrt` `*-un-lft-identity`
27×	`difference-of-squares`
9×	`unpow-prod-down` `associate-/l*` `sqr-pow`
6×	`sqrt-div` `associate-/r*`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1`
3×	`flip3--` `flip--`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `rem-sqrt-square` `sqrt-undiv` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

3 → 118

Calls

3 calls:

5.0ms	(sqrt (- (* 1.0 1.0) (pow x 4)))
5.0ms	(- (* 1.0 1.0) (pow x 4))
11.0ms	(/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))

series21.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sqrt (- (* 1.0 1.0) (pow x 4)))
6.0ms	(- (* 1.0 1.0) (pow x 4))
7.0ms	(/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))

simplify55.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4963	2590
1	4963	2590

prune214.0ms

Filtered

80 candidates to 127 candidates (-58.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	2	129

Merged error: 0b

Counts

129 → 2

regimes66.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	25	8
1	25	8

end0.0ms

sample270.0ms

Algorithm

intervals

Results

181.0ms

8000×

body

valid

Details

analyze4.0ms

sample16.0ms

simplify5.0ms

prune2.0ms

localize4.0ms

rewrite6.0ms

series8.0ms

simplify35.0ms

prune54.0ms

localize8.0ms

rewrite11.0ms

series12.0ms

simplify24.0ms

prune77.0ms

localize10.0ms

rewrite27.0ms

series21.0ms

simplify55.0ms

prune214.0ms

regimes66.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample270.0ms

Profiling