Details

analyze44.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
25%	25%	50%	4
25%	25%	50%	5
31.2%	18.7%	50%	6
34.3%	15.6%	50%	7
39%	10.9%	50%	8
40.6%	8.6%	50.8%	9
42.9%	5.9%	51.2%	10
43.7%	4.5%	51.8%	11
44.9%	3%	52.1%	12
45.3%	2.3%	52.4%	13
45.9%	1.5%	52.6%	14

sample19.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	799	14
1	799	14

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.2b	(/ y (* 3.0 (sqrt x)))
0.2b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
6×	`pow1` `times-frac` `associate-r` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `sqrt-prod`
3×	`associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 77

Calls

4 calls:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
5.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series21.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
12.0ms	(/ y (* 3.0 (sqrt x)))
2.0ms	(/ 1.0 (* x 9.0))
4.0ms	(* 3.0 (sqrt x))

simplify47.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5025	703

prune143.0ms

Filtered

64 candidates to 89 candidates (-39.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	82	7	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	7	90

Merged error: 0.0b

Counts

90 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ (/ 1.0 x) 9.0))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
64×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
51×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`pow1` `associate-r` `div-inv` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r*` `sqrt-prod`
3×	`associate-l` `difference-of-squares`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 128

Calls

4 calls:

13.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
5.0ms	(/ y (* 3.0 (sqrt x)))
6.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(* 3.0 (sqrt x))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
8.0ms	(/ y (* 3.0 (sqrt x)))
2.0ms	(/ (/ 1.0 x) 9.0)
4.0ms	(* 3.0 (sqrt x))

simplify68.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5073	1374

prune211.0ms

Filtered

109 candidates to 140 candidates (-28.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	140	7	147

Merged error: 0.0b

Counts

147 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt` `add-log-exp`
6×	`associate-r`
5×	`pow1`
4×	`sqrt-prod`
3×	`times-frac` `diff-log` `associate-l` `associate-/l*` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-` `frac-2neg` `pow-prod-down` `associate--l+` `clear-num` `associate-/r` `-commutative` `div-inv` `difference-of-squares`

Counts

3 → 62

Calls

3 calls:

13.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))

series21.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
9.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(* 3.0 (sqrt x))

simplify37.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5048	793

prune111.0ms

Filtered

55 candidates to 71 candidates (-29.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	71	7	78

Merged error: 0.0b

Counts

78 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.2b	(/ 1.0 (* x 9.0))
0.3b	(/ y (sqrt x))
0.3b	(* (/ 1 3.0) (/ y (sqrt x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
60×	`times-frac`
46×	`*-un-lft-identity`
41×	`add-cube-cbrt`
33×	`add-exp-log`
24×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
13×	`associate-l`
11×	`div-exp`
9×	`prod-exp` `unswap-sqr`
7×	`cbrt-undiv` `associate-/r*`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`cbrt-unprod`
4×	`div-inv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 141

Calls

4 calls:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
4.0ms	(/ 1.0 (* x 9.0))
4.0ms	(/ y (sqrt x))
13.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
2.0ms	(/ 1.0 (* x 9.0))
7.0ms	(/ y (sqrt x))
9.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4936	1331
1	4936	1331

prune159.0ms

Filtered

101 candidates to 153 candidates (-51.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	152	8	160

Merged error: 0b

Counts

160 → 8

regimes114.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	12
1	44	12

end0.0ms

sample498.0ms

Algorithm

intervals

Results

361.0ms	8000×	body	80	valid
4.0ms	87×	body	80	invalid

Details

analyze44.0ms

sample19.0ms

simplify33.0ms

prune6.0ms

localize9.0ms

rewrite21.0ms

series21.0ms

simplify47.0ms

prune143.0ms

localize9.0ms

rewrite33.0ms

series17.0ms

simplify68.0ms

prune211.0ms

localize8.0ms

rewrite25.0ms

series21.0ms

simplify37.0ms

prune111.0ms

localize11.0ms

rewrite34.0ms

series21.0ms

simplify58.0ms

prune159.0ms

regimes114.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample498.0ms

Profiling