Details

analyze68.0ms

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
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

sample32.0ms

Algorithm

intervals

Results

15.0ms	232×	body	80	valid
4.0ms	13×	body	640	valid
2.0ms	3×	body	1280	valid
1.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	80	invalid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5973	9

prune4.0ms

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: 0.8b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.8b	(log (+ 1.0 (exp x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
8×	`log-prod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `log-div` `associate--l+`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `log-pow` `flip--`

Counts

3 → 44

Calls

3 calls:

3.0ms	(+ 1.0 (exp x))
6.0ms	(- (log (+ 1.0 (exp x))) (* x y))
4.0ms	(log (+ 1.0 (exp x)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+ 1.0 (exp x))
10.0ms	(- (log (+ 1.0 (exp x))) (* x y))
11.0ms	(log (+ 1.0 (exp x)))

simplify79.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4843	504
1	4843	504

prune104.0ms

Filtered

39 candidates to 53 candidates (-35.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	6	54

Merged error: 0.2b

Counts

54 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.8b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.0b	(- (exp x) 1.0)
4.7b	(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `log-prod`
10×	`add-cube-cbrt`
7×	`pow1` `unpow-prod-down` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`add-cbrt-cube` `distribute-lft-out`
4×	`log-div` `pow-pow`
3×	`pow-unpow` `exp-prod`
2×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `sum-cubes` `flip--` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

4.0ms	(pow (exp x) 3)
11.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.0ms	(- (exp x) 1.0)
4.0ms	(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

series48.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow (exp x) 3)
17.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
2.0ms	(- (exp x) 1.0)
24.0ms	(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

simplify68.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5002	829

prune210.0ms

Filtered

57 candidates to 85 candidates (-49.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	84	7	91

Merged error: 0.2b

Counts

91 → 7

localize31.0ms

Local error

Found 4 expressions with local error:

4.0b	(- (exp x) 1.0)
4.5b	(log (+ (pow 1.0 6) (- (pow (exp x) 6) (* (pow (exp x) 3) (pow 1.0 3)))))
4.6b	(- (pow (exp x) 6) (* (pow (exp x) 3) (pow 1.0 3)))
4.7b	(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-log-exp`
7×	`log-prod`
6×	`pow1` `add-exp-log` `add-cube-cbrt`
4×	`log-div` `add-cbrt-cube`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `rem-log-exp` `log-pow` `flip--` `flip-+`
1×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 53

Calls

4 calls:

4.0ms	(- (exp x) 1.0)
8.0ms	(log (+ (pow 1.0 6) (- (pow (exp x) 6) (* (pow (exp x) 3) (pow 1.0 3)))))
8.0ms	(- (pow (exp x) 6) (* (pow (exp x) 3) (pow 1.0 3)))
4.0ms	(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

series70.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (exp x) 1.0)
33.0ms	(log (+ (pow 1.0 6) (- (pow (exp x) 6) (* (pow (exp x) 3) (pow 1.0 3)))))
14.0ms	(- (pow (exp x) 6) (* (pow (exp x) 3) (pow 1.0 3)))
21.0ms	(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

simplify68.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	6041	1073

prune320.0ms

Filtered

50 candidates to 65 candidates (-30.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	65	7	72

Merged error: 0.2b

Counts

72 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (cbrt (pow (+ 1.0 (exp x)) 3))) (* x y))
0.0b	(cbrt (pow (+ 1.0 (exp x)) 3))
0.0b	(pow (+ 1.0 (exp x)) 3)
0.8b	(log (cbrt (pow (+ 1.0 (exp x)) 3)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
34×	`log-prod` `*-un-lft-identity`
18×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`associate--l+`
16×	`unpow-prod-down` `cube-prod`
8×	`cube-div` `distribute-lft-out`
6×	`pow1` `add-exp-log` `cbrt-div`
5×	`add-cbrt-cube` `add-log-exp`
4×	`cube-mult` `log-div` `flip3-+` `unpow3` `flip-+` `sqr-pow`
3×	`pow-unpow`
2×	`associate--l-` `pow1/3` `log-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `diff-log` `rem-log-exp` `pow-exp` `flip--` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 111

Calls

4 calls:

12.0ms	(- (log (cbrt (pow (+ 1.0 (exp x)) 3))) (* x y))
5.0ms	(cbrt (pow (+ 1.0 (exp x)) 3))
5.0ms	(pow (+ 1.0 (exp x)) 3)
7.0ms	(log (cbrt (pow (+ 1.0 (exp x)) 3)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (log (cbrt (pow (+ 1.0 (exp x)) 3))) (* x y))
2.0ms	(cbrt (pow (+ 1.0 (exp x)) 3))
5.0ms	(pow (+ 1.0 (exp x)) 3)
11.0ms	(log (cbrt (pow (+ 1.0 (exp x)) 3)))

simplify79.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5100	1162

prune143.0ms

Filtered

69 candidates to 123 candidates (-78.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	123	7	130

Merged error: 0.2b

Counts

130 → 7

regimes191.0ms

Accuracy

0% (0.3b 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	63	26
1	63	26

end0.0ms

sample710.0ms

Algorithm

intervals

Results

349.0ms	7306×	body	80	valid
93.0ms	297×	body	640	valid
59.0ms	104×	body	1280	valid
35.0ms	181×	body	320	valid
16.0ms	112×	body	160	valid
2.0ms	43×	body	80	invalid
0.0ms	5×	body	80	overflowed

Details

analyze68.0ms

sample32.0ms

simplify85.0ms

prune4.0ms

localize8.0ms

rewrite14.0ms

series22.0ms

simplify79.0ms

prune104.0ms

localize19.0ms

rewrite25.0ms

series48.0ms

simplify68.0ms

prune210.0ms

localize31.0ms

rewrite26.0ms

series70.0ms

simplify68.0ms

prune320.0ms

localize12.0ms

rewrite32.0ms

series28.0ms

simplify79.0ms

prune143.0ms

regimes191.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample710.0ms

Profiling