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

sample24.0ms

Algorithm

intervals

Results

10.0ms	235×	body	80	valid
2.0ms	8×	body	640	valid
2.0ms	3×	body	1280	valid
1.0ms	7×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	3×	body	80	invalid
0.0ms	1×	body	80	overflowed

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5973	9

prune3.0ms

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: 1.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
1.1b	(log (+ 1.0 (exp x)))

rewrite13.0ms

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))
5.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(log (+ 1.0 (exp x)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+ 1.0 (exp x))
12.0ms	(- (log (+ 1.0 (exp x))) (* x y))
10.0ms	(log (+ 1.0 (exp x)))

simplify67.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4843	504
1	4843	504

prune85.0ms

Filtered

39 candidates to 53 candidates (-35.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	4	54

Merged error: 0.3b

Counts

54 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
1.0b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
7.2b	(- (exp x) 1.0)
8.3b	(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

rewrite26.0ms

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:

3.0ms	(pow (exp x) 3)
11.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.0ms	(- (exp x) 1.0)
6.0ms	(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

series43.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow (exp x) 3)
16.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
2.0ms	(- (exp x) 1.0)
20.0ms	(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5002	829

prune160.0ms

Filtered

57 candidates to 85 candidates (-49.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	85	4	89

Merged error: 0.3b

Counts

89 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (pow (log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0)))) 3))
1.0b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
7.2b	(- (exp x) 1.0)
8.3b	(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

2.0ms	(cbrt (pow (log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0)))) 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))))

series61.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt (pow (log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0)))) 3))
16.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
2.0ms	(- (exp x) 1.0)
20.0ms	(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

simplify49.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5095	1125

prune178.0ms

Filtered

54 candidates to 82 candidates (-51.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	82	4	86

Merged error: 0.3b

Counts

86 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (pow (log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0)))) 3))
1.0b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
7.2b	(- (exp x) 1.0)
8.3b	(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

2.0ms	(cbrt (pow (log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0)))) 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))))

series62.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt (pow (log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0)))) 3))
16.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
2.0ms	(- (exp x) 1.0)
23.0ms	(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

simplify51.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5095	1125

prune187.0ms

Filtered

54 candidates to 82 candidates (-51.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	82	4	86

Merged error: 0.3b

Counts

86 → 4

regimes129.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	32
1	67	32

end0.0ms

sample646.0ms

Algorithm

intervals

Results

309.0ms	7279×	body	80	valid
83.0ms	278×	body	640	valid
64.0ms	121×	body	1280	valid
34.0ms	193×	body	320	valid
14.0ms	129×	body	160	valid
2.0ms	41×	body	80	invalid
0.0ms	12×	body	80	overflowed

Details

analyze68.0ms

sample24.0ms

simplify69.0ms

prune3.0ms

localize7.0ms

rewrite13.0ms

series24.0ms

simplify67.0ms

prune85.0ms

localize18.0ms

rewrite26.0ms

series43.0ms

simplify54.0ms

prune160.0ms

localize22.0ms

rewrite23.0ms

series61.0ms

simplify49.0ms

prune178.0ms

localize22.0ms

rewrite24.0ms

series62.0ms

simplify51.0ms

prune187.0ms

regimes129.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample646.0ms

Profiling