Details

analyze102.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14

sample18.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4931	11
1	4931	11

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.5b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
0.5b	(/ (- 3.0 x) (* 3.0 y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

11.0ms	(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
6.0ms	(/ (- 3.0 x) (* 3.0 y))

series12.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
5.0ms	(/ (- 3.0 x) (* 3.0 y))

simplify22.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5197	765

prune108.0ms

Filtered

49 candidates to 69 candidates (-40.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	62	7	69
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	63	8	71

Merged error: 0b

Counts

71 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1.0 y) (- (* 0.3333333333333333 (/ x (/ y x))) (* (/ x y) 1.3333333333333333)))
0.2b	(/ x (/ y x))
0.2b	(* 0.3333333333333333 (/ x (/ y x)))
0.2b	(* (/ x y) 1.3333333333333333)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

154×	`times-frac`
104×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
90×	`add-cube-cbrt`
47×	`associate-r`
23×	`add-exp-log` `add-cbrt-cube`
16×	`associate-l`
13×	`associate-/r*`
10×	`div-inv`
9×	`add-log-exp`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`frac-add` `associate-/l*`
2×	`associate-r/` `pow-prod-down` `associate-l/` `sum-log` `associate-/r/` `*-commutative`
1×	`+-commutative` `associate-+r-` `sub-neg` `associate-+r+` `flip3--` `frac-2neg` `flip3-+` `diff-log` `clear-num` `frac-sub` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 186

Calls

4 calls:

15.0ms	(+ (/ 1.0 y) (- (* 0.3333333333333333 (/ x (/ y x))) (* (/ x y) 1.3333333333333333)))
5.0ms	(/ x (/ y x))
13.0ms	(* 0.3333333333333333 (/ x (/ y x)))
6.0ms	(* (/ x y) 1.3333333333333333)

series24.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (/ 1.0 y) (- (* 0.3333333333333333 (/ x (/ y x))) (* (/ x y) 1.3333333333333333)))
6.0ms	(/ x (/ y x))
4.0ms	(* 0.3333333333333333 (/ x (/ y x)))
3.0ms	(* (/ x y) 1.3333333333333333)

simplify67.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4993	1989
1	4993	1989

prune215.0ms

Filtered

151 candidates to 198 candidates (-31.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	196	2	198
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	198	8	206

Merged error: 0b

Counts

206 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1.0 y) (- (* 0.3333333333333333 (* x (/ x y))) (* (/ x y) 1.3333333333333333)))
0.2b	(* x (/ x y))
0.2b	(* 0.3333333333333333 (* x (/ x y)))
0.2b	(* (/ x y) 1.3333333333333333)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
23×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
21×	`add-cube-cbrt`
20×	`times-frac`
19×	`associate-l`
17×	`associate-r`
13×	`pow1`
9×	`prod-exp` `cbrt-unprod` `add-log-exp`
7×	`associate-*r/`
5×	`pow-prod-down`
4×	`frac-add` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-l/` `-commutative`
2×	`sum-log` `div-inv`
1×	`+-commutative` `associate-+r-` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `diff-log` `frac-sub` `flip--` `flip-+` `distribute-lft-out` `sub-div`

Counts

4 → 104

Calls

4 calls:

13.0ms	(+ (/ 1.0 y) (- (* 0.3333333333333333 (* x (/ x y))) (* (/ x y) 1.3333333333333333)))
6.0ms	(* x (/ x y))
6.0ms	(* 0.3333333333333333 (* x (/ x y)))
6.0ms	(* (/ x y) 1.3333333333333333)

series23.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (/ 1.0 y) (- (* 0.3333333333333333 (* x (/ x y))) (* (/ x y) 1.3333333333333333)))
5.0ms	(* x (/ x y))
4.0ms	(* 0.3333333333333333 (* x (/ x y)))
3.0ms	(* (/ x y) 1.3333333333333333)

simplify55.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4969	1069
1	4969	1069

prune124.0ms

Filtered

81 candidates to 116 candidates (-43.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	116	8	124

Merged error: 0b

Counts

124 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 x) 3.0)
0.0b	(/ (- 3.0 x) y)
0.4b	(* (/ (- 1.0 x) 3.0) (/ (- 3.0 x) y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 138

Calls

3 calls:

8.0ms	(/ (- 1.0 x) 3.0)
5.0ms	(/ (- 3.0 x) y)
16.0ms	(* (/ (- 1.0 x) 3.0) (/ (- 3.0 x) y))

series15.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ (- 1.0 x) 3.0)
4.0ms	(/ (- 3.0 x) y)
7.0ms	(* (/ (- 1.0 x) 3.0) (/ (- 3.0 x) y))

simplify60.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4970	1581
1	4970	1581

prune167.0ms

Filtered

105 candidates to 147 candidates (-40.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	147	8	155

Merged error: 0b

Counts

155 → 8

regimes242.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	17
1	49	17

end0.0ms

sample381.0ms

Algorithm

intervals

Results

237.0ms	8000×	body	80	valid
9.0ms	304×	body	80	invalid

Details

analyze102.0ms

sample18.0ms

simplify68.0ms

prune8.0ms

localize7.0ms

rewrite19.0ms

series12.0ms

simplify22.0ms

prune108.0ms

localize10.0ms

rewrite47.0ms

series24.0ms

simplify67.0ms

prune215.0ms

localize9.0ms

rewrite34.0ms

series23.0ms

simplify55.0ms

prune124.0ms

localize7.0ms

rewrite35.0ms

series15.0ms

simplify60.0ms

prune167.0ms

regimes242.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample381.0ms

Profiling