Details

analyze252.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.5%	27.7%	68.8%	9
5.3%	24.4%	70.4%	10
7.5%	19.8%	72.7%	11
11.1%	16.2%	72.7%	12
11.3%	15.3%	73.5%	13
13.2%	13%	73.9%	14

sample24.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
0.0ms	12×	body	80	nan
0.0ms	2×	body	80	invalid

simplify185.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (183.0ms)

Iter	Nodes	Cost
0	6359	11

prune8.0ms

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (* x (log y)) y)
0.0b	(- (- (* x (log y)) y) z)
0.3b	(* x (log y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate--l+`
27×	`log-prod`
25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-log-exp`
15×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`associate-+l+`
7×	`diff-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`associate-r` `distribute-lft-out`
3×	`associate-+r+` `associate-l` `sum-log` `log-pow` `distribute-lft-out--`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

14.0ms	(+ (- (- (* x (log y)) y) z) (log t))
4.0ms	(- (* x (log y)) y)
7.0ms	(- (- (* x (log y)) y) z)
4.0ms	(* x (log y))

series38.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (- (- (* x (log y)) y) z) (log t))
10.0ms	(- (* x (log y)) y)
8.0ms	(- (- (* x (log y)) y) z)
7.0ms	(* x (log y))

simplify48.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5092	985

prune293.0ms

Filtered

77 candidates to 105 candidates (-36.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	98	7	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	8	106

Merged error: 0.0b

Counts

106 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
8.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series86.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* x (log (cbrt y)))
21.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
22.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify61.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4951	620
1	4951	620

prune116.0ms

Filtered

60 candidates to 90 candidates (-50.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	91	7	98

Merged error: 0b

Counts

98 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (pow y 1/3)))
0.3b	(+ (* x (* (log (cbrt y)) 2)) (* x (log (pow y 1/3))))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`unpow-prod-down`
14×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`sqr-pow`
4×	`associate-r`
3×	`cbrt-prod` `pow-unpow` `associate-l`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

5.0ms	(* x (log (pow y 1/3)))
8.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (pow y 1/3))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series85.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* x (log (pow y 1/3)))
27.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (pow y 1/3))))
21.0ms	(cbrt y)
21.0ms	(pow y 1/3)

simplify71.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5023	606

prune127.0ms

Filtered

67 candidates to 100 candidates (-49.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	100	7	107

Merged error: 0b

Counts

107 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 47

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt (cbrt y))

series95.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)
31.0ms	(cbrt (cbrt y))

simplify33.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4926	241
1	4926	241

prune95.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	59	7	66

Merged error: 0b

Counts

66 → 7

regimes600.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	21
1	41	21

end0.0ms

sample639.0ms

Algorithm

intervals

Results

414.0ms	7997×	body	80	valid
14.0ms	372×	body	80	nan
2.0ms	34×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

analyze252.0ms

sample24.0ms

simplify185.0ms

prune8.0ms

localize10.0ms

rewrite32.0ms

series38.0ms

simplify48.0ms

prune293.0ms

localize18.0ms

rewrite17.0ms

series86.0ms

simplify61.0ms

prune116.0ms

localize23.0ms

rewrite19.0ms

series85.0ms

simplify71.0ms

prune127.0ms

localize25.0ms

rewrite6.0ms

series95.0ms

simplify33.0ms

prune95.0ms

regimes600.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample639.0ms

Profiling