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

sample91.0ms

Algorithm

intervals

Results

49.0ms	96×	body	1280	valid
25.0ms	88×	body	640	valid
6.0ms	35×	body	320	valid
3.0ms	30×	body	160	valid
0.0ms	7×	body	80	valid

simplify196.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (194.0ms)

Iter	Nodes	Cost
0	4889	12
1	4889	12

prune5.0ms

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: 58.1b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
7.8b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

7.0ms	(/ (+ 1.0 x) (- 1.0 x))
7.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ (+ 1.0 x) (- 1.0 x))
6.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5006	1111

prune158.0ms

Filtered

58 candidates to 88 candidates (-51.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	82	6	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	6	89

Merged error: 0.1b

Counts

89 → 6

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (* x 2.0)) (+ (log 1.0) (* 2.0 (- x (* (/ x 1.0) (/ x 1.0))))))
0.0b	(- x (* (/ x 1.0) (/ x 1.0)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-log-exp`
3×	`add-sqr-sqrt` `sum-log`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `difference-of-squares`

Counts

2 → 25

Calls

2 calls:

8.0ms	(+ (* x (* x 2.0)) (+ (log 1.0) (* 2.0 (- x (* (/ x 1.0) (/ x 1.0))))))
3.0ms	(- x (* (/ x 1.0) (/ x 1.0)))

series22.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (* x (* x 2.0)) (+ (log 1.0) (* 2.0 (- x (* (/ x 1.0) (/ x 1.0))))))
6.0ms	(- x (* (/ x 1.0) (/ x 1.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4934	456
1	4934	456

prune80.0ms

Filtered

24 candidates to 31 candidates (-29.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	30	7	37

Merged error: 0.1b

Counts

37 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow x 3) (pow (/ x 1.0) 6))
0.0b	(+ (pow (/ x 1.0) 4) (* x (+ x (pow (/ x 1.0) 2))))
0.0b	(* x (+ x (pow (/ x 1.0) 2)))
38.9b	(/ (- (pow x 3) (pow (/ x 1.0) 6)) (+ (pow (/ x 1.0) 4) (* x (+ x (pow (/ x 1.0) 2)))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

173×	`add-sqr-sqrt`
80×	`times-frac` `difference-of-squares`
60×	`unpow-prod-down`
43×	`*-un-lft-identity`
40×	`sqr-pow`
31×	`add-cube-cbrt`
20×	`cube-prod` `associate-/l*`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`distribute-lft-out--`
4×	`associate-r`
3×	`flip3-+` `associate-l` `associate-/r*` `flip-+`
2×	`distribute-rgt-in` `associate-+r+` `flip3--` `distribute-lft-in` `associate-*r/` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 164

Calls

4 calls:

14.0ms	(- (pow x 3) (pow (/ x 1.0) 6))
8.0ms	(+ (pow (/ x 1.0) 4) (* x (+ x (pow (/ x 1.0) 2))))
10.0ms	(* x (+ x (pow (/ x 1.0) 2)))
27.0ms	(/ (- (pow x 3) (pow (/ x 1.0) 6)) (+ (pow (/ x 1.0) 4) (* x (+ x (pow (/ x 1.0) 2)))))

series52.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (pow x 3) (pow (/ x 1.0) 6))
5.0ms	(+ (pow (/ x 1.0) 4) (* x (+ x (pow (/ x 1.0) 2))))
8.0ms	(* x (+ x (pow (/ x 1.0) 2)))
26.0ms	(/ (- (pow x 3) (pow (/ x 1.0) 6)) (+ (pow (/ x 1.0) 4) (* x (+ x (pow (/ x 1.0) 2)))))

simplify85.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5016	5361

prune506.0ms

Filtered

106 candidates to 176 candidates (-66.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	176	7	183

Merged error: 0.1b

Counts

183 → 7

localize30.0ms

Local error

Found 4 expressions with local error:

26.7b	(sqrt (+ (pow (/ x 1.0) 4) (* x (+ x (pow (/ x 1.0) 2)))))
37.5b	(cbrt (- (pow x 3) (pow (/ x 1.0) 6)))
37.5b	(cbrt (- (pow x 3) (pow (/ x 1.0) 6)))
37.5b	(cbrt (- (pow x 3) (pow (/ x 1.0) 6)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

93×	`add-sqr-sqrt`
60×	`cbrt-prod`
48×	`difference-of-squares`
36×	`unpow-prod-down`
24×	`sqr-pow`
14×	`*-un-lft-identity`
12×	`times-frac` `cube-prod`
8×	`add-cube-cbrt`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `pow1/3` `sqrt-prod` `flip--` `distribute-lft-out--`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 105

Calls

4 calls:

8.0ms	(sqrt (+ (pow (/ x 1.0) 4) (* x (+ x (pow (/ x 1.0) 2)))))
18.0ms	(cbrt (- (pow x 3) (pow (/ x 1.0) 6)))
14.0ms	(cbrt (- (pow x 3) (pow (/ x 1.0) 6)))
14.0ms	(cbrt (- (pow x 3) (pow (/ x 1.0) 6)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (+ (pow (/ x 1.0) 4) (* x (+ x (pow (/ x 1.0) 2)))))
33.0ms	(cbrt (- (pow x 3) (pow (/ x 1.0) 6)))
37.0ms	(cbrt (- (pow x 3) (pow (/ x 1.0) 6)))
34.0ms	(cbrt (- (pow x 3) (pow (/ x 1.0) 6)))

simplify56.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4958	2376
1	4958	2376

prune578.0ms

Filtered

68 candidates to 117 candidates (-72.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	117	7	124

Merged error: 0.1b

Counts

124 → 7

regimes193.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	24
1	45	24

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.7s	3338×	body	1280	valid
732.0ms	2519×	body	640	valid
233.0ms	1306×	body	320	valid
73.0ms	642×	body	160	valid
10.0ms	195×	body	80	valid

Details

analyze4.0ms

sample91.0ms

simplify196.0ms

prune5.0ms

localize11.0ms

rewrite17.0ms

series9.0ms

simplify47.0ms

prune158.0ms

localize12.0ms

rewrite12.0ms

series22.0ms

simplify56.0ms

prune80.0ms

localize21.0ms

rewrite67.0ms

series52.0ms

simplify85.0ms

prune506.0ms

localize30.0ms

rewrite58.0ms

series110.0ms

simplify56.0ms

prune578.0ms

regimes193.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.8s

Profiling