Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.6%	0.2%	0.2%	11
99.6%	0.1%	0.3%	12
99.6%	0%	0.3%	13
99.6%	0%	0.4%	14

sample8.0ms

Algorithm

intervals

Results

4.0ms	253×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	112	5
1	112	5

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x 116.0) 16.0)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 11

Calls

1 calls:

4.0ms

(- (* x 116.0) 16.0)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(- (* x 116.0) 16.0)

simplify41.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4954	111
1	4954	111

prune21.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 116.0) 16.0)
0.0b	(sqrt (- (* x 116.0) 16.0))
0.0b	(sqrt (- (* x 116.0) 16.0))
0.1b	(* (sqrt (- (* x 116.0) 16.0)) (sqrt (- (* x 116.0) 16.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

4.0ms	(- (* x 116.0) 16.0)
4.0ms	(sqrt (- (* x 116.0) 16.0))
4.0ms	(sqrt (- (* x 116.0) 16.0))
13.0ms	(* (sqrt (- (* x 116.0) 16.0)) (sqrt (- (* x 116.0) 16.0)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- (* x 116.0) 16.0)
4.0ms	(sqrt (- (* x 116.0) 16.0))
4.0ms	(sqrt (- (* x 116.0) 16.0))
5.0ms	(* (sqrt (- (* x 116.0) 16.0)) (sqrt (- (* x 116.0) 16.0)))

simplify35.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5010	1156

prune135.0ms

Filtered

66 candidates to 110 candidates (-66.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	3	112

Merged error: 0.0b

Counts

112 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (- (* x 116.0) 16.0)))
0.0b	(sqrt (sqrt (- (* x 116.0) 16.0)))
0.1b	(* (pow (sqrt (sqrt (- (* x 116.0) 16.0))) 3) (sqrt (sqrt (- (* x 116.0) 16.0))))
0.2b	(pow (sqrt (sqrt (- (* x 116.0) 16.0))) 3)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

107×	`sqrt-prod`
74×	`add-sqr-sqrt`
36×	`sqrt-div`
27×	`unpow-prod-down` `cube-prod`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-l` `unswap-sqr`
12×	`pow1` `sqrt-pow1`
10×	`add-exp-log`
9×	`flip3--` `associate-r` `flip--`
8×	`cube-div`
7×	`add-cbrt-cube`
6×	`pow1/2`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 163

Calls

4 calls:

5.0ms	(sqrt (sqrt (- (* x 116.0) 16.0)))
5.0ms	(sqrt (sqrt (- (* x 116.0) 16.0)))
19.0ms	(* (pow (sqrt (sqrt (- (* x 116.0) 16.0))) 3) (sqrt (sqrt (- (* x 116.0) 16.0))))
7.0ms	(pow (sqrt (sqrt (- (* x 116.0) 16.0))) 3)

series36.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt (sqrt (- (* x 116.0) 16.0)))
7.0ms	(sqrt (sqrt (- (* x 116.0) 16.0)))
5.0ms	(* (pow (sqrt (sqrt (- (* x 116.0) 16.0))) 3) (sqrt (sqrt (- (* x 116.0) 16.0))))
16.0ms	(pow (sqrt (sqrt (- (* x 116.0) 16.0))) 3)

simplify71.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4948	2262
1	4948	2262

prune245.0ms

Filtered

89 candidates to 175 candidates (-96.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	175	3	178

Merged error: 0.0b

Counts

178 → 3

regimes82.0ms

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	16	5
1	16	5

end0.0ms

sample188.0ms

Algorithm

intervals

Results

108.0ms	7933×	body	80	valid
2.0ms	32×	body	1280	valid
1.0ms	17×	body	640	valid
1.0ms	15×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms

sample8.0ms

simplify6.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series3.0ms

simplify41.0ms

prune21.0ms

localize5.0ms

rewrite27.0ms

series17.0ms

simplify35.0ms

prune135.0ms

localize8.0ms

rewrite41.0ms

series36.0ms

simplify71.0ms

prune245.0ms

regimes82.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample188.0ms

Profiling