Details

analyze63.0ms

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	236×	body	80	valid
3.0ms	4×	body	1280	valid
2.0ms	6×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	4×	body	160	valid
0.0ms	3×	body	80	invalid
0.0ms	1×	body	80	overflowed

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	9
1	10	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: 0.0b

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))
0.0b	(log (+ 1.0 (exp x)))

rewrite12.0ms

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)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+ 1.0 (exp x))
9.0ms	(- (log (+ 1.0 (exp x))) (* x y))
10.0ms	(log (+ 1.0 (exp x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4916	504
1	4916	504

prune77.0ms

Filtered

39 candidates to 53 candidates (-35.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	4	54

Merged error: 0b

Counts

54 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (cbrt (pow (+ 1.0 (exp x)) 3))) (* x y))
0.0b	(log (cbrt (pow (+ 1.0 (exp x)) 3)))
0.0b	(pow (+ 1.0 (exp x)) 3)
0.2b	(cbrt (pow (+ 1.0 (exp x)) 3))

rewrite26.0ms

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:

8.0ms	(- (log (cbrt (pow (+ 1.0 (exp x)) 3))) (* x y))
5.0ms	(log (cbrt (pow (+ 1.0 (exp x)) 3)))
4.0ms	(pow (+ 1.0 (exp x)) 3)
4.0ms	(cbrt (pow (+ 1.0 (exp x)) 3))

series29.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (log (cbrt (pow (+ 1.0 (exp x)) 3))) (* x y))
10.0ms	(log (cbrt (pow (+ 1.0 (exp x)) 3)))
5.0ms	(pow (+ 1.0 (exp x)) 3)
2.0ms	(cbrt (pow (+ 1.0 (exp x)) 3))

simplify41.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4912	1162
1	4912	1162

prune135.0ms

Filtered

69 candidates to 123 candidates (-78.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	123	4	127

Merged error: 0b

Counts

127 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
0.7b	(log (sqrt (+ 1.0 (exp x))))
0.7b	(log (sqrt (+ 1.0 (exp x))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
12.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
4.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))

series47.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ 1.0 (exp x))
16.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
13.0ms	(log (sqrt (+ 1.0 (exp x))))
16.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify39.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5345	835

prune136.0ms

Filtered

57 candidates to 81 candidates (-42.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	81	4	85

Merged error: 0b

Counts

85 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log 2.0) (+ (* x 0.5) (* (* x x) (- 0.25 (/ 1/2 (* 2.0 2.0))))))
0.0b	(* (* x x) (- 0.25 (/ 1/2 (* 2.0 2.0))))
0.0b	(- (+ (log 2.0) (+ (* x 0.5) (* (* x x) (- 0.25 (/ 1/2 (* 2.0 2.0)))))) (* x y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

6.0ms	(+ (log 2.0) (+ (* x 0.5) (* (* x x) (- 0.25 (/ 1/2 (* 2.0 2.0))))))
9.0ms	(* (* x x) (- 0.25 (/ 1/2 (* 2.0 2.0))))
10.0ms	(- (+ (log 2.0) (+ (* x 0.5) (* (* x x) (- 0.25 (/ 1/2 (* 2.0 2.0)))))) (* x y))

series14.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ (log 2.0) (+ (* x 0.5) (* (* x x) (- 0.25 (/ 1/2 (* 2.0 2.0))))))
3.0ms	(* (* x x) (- 0.25 (/ 1/2 (* 2.0 2.0))))
7.0ms	(- (+ (log 2.0) (+ (* x 0.5) (* (* x x) (- 0.25 (/ 1/2 (* 2.0 2.0)))))) (* x y))

simplify42.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5526	1099

prune99.0ms

Filtered

48 candidates to 67 candidates (-39.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	67	4	71

Merged error: 0b

Counts

71 → 4

regimes122.0ms

Accuracy

0% (0.2b 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 (0.0ms)

Iter	Nodes	Cost
0	10	9
1	10	9

end0.0ms

analyze62.0ms

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

sample652.0ms

Algorithm

intervals

Results

314.0ms	7273×	body	80	valid
75.0ms	257×	body	640	valid
70.0ms	133×	body	1280	valid
40.0ms	206×	body	320	valid
14.0ms	131×	body	160	valid
2.0ms	47×	body	80	invalid
0.0ms	11×	body	80	overflowed

Details

analyze63.0ms

sample24.0ms

simplify3.0ms

prune3.0ms

localize7.0ms

rewrite12.0ms

series22.0ms

simplify45.0ms

prune77.0ms

localize10.0ms

rewrite26.0ms

series29.0ms

simplify41.0ms

prune135.0ms

localize11.0ms

rewrite25.0ms

series47.0ms

simplify39.0ms

prune136.0ms

localize13.0ms

rewrite26.0ms

series14.0ms

simplify42.0ms

prune99.0ms

regimes122.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze62.0ms

sample652.0ms

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