Details

analyze209.0ms

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14

sample37.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify141.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	5541	8

prune7.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.0b	(- (* x (log y)) z)
0.2b	(* x (log y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

7.0ms	(- (- (* x (log y)) z) y)
4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series28.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(- (- (* x (log y)) z) y)
11.0ms	(- (* x (log y)) z)
8.0ms	(* x (log y))

simplify38.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4935	594
1	4935	594

prune82.0ms

Filtered

52 candidates to 73 candidates (-40.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	5	74

Merged error: 0.0b

Counts

74 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (log (sqrt y))) (+ y z))
0.0b	(+ (* x (log (sqrt y))) (- (* x (log (sqrt y))) (+ y z)))
0.2b	(* x (log (sqrt y)))
0.2b	(* x (log (sqrt y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
32×	`add-sqr-sqrt`
30×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
28×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate--l+`
18×	`add-log-exp`
13×	`associate-+r+`
12×	`pow1` `associate-+l+` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l` `log-pow`
5×	`sum-log`
4×	`diff-log`
2×	`sub-neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+` `associate--r+`

Counts

4 → 130

Calls

4 calls:

7.0ms	(- (* x (log (sqrt y))) (+ y z))
12.0ms	(+ (* x (log (sqrt y))) (- (* x (log (sqrt y))) (+ y z)))
5.0ms	(* x (log (sqrt y)))
5.0ms	(* x (log (sqrt y)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* x (log (sqrt y))) (+ y z))
11.0ms	(+ (* x (log (sqrt y))) (- (* x (log (sqrt y))) (+ y z)))
9.0ms	(* x (log (sqrt y)))
13.0ms	(* x (log (sqrt y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5034	1436

prune128.0ms

Filtered

97 candidates to 142 candidates (-46.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	0	3	3
Picked	1	0	1
Done	1	0	1
Total	142	5	147

Merged error: 0.0b

Counts

147 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt y))
0.2b	(* x (log (sqrt y)))
0.2b	(* x (log (sqrt (sqrt y))))
0.2b	(* x (log (sqrt (sqrt y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

52×	`sqrt-prod`
48×	`log-prod`
36×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity`
24×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-r`
20×	`pow1`
13×	`sqrt-pow1` `log-pow`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-l`
7×	`pow1/2`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`rem-sqrt-square`

Counts

4 → 134

Calls

4 calls:

2.0ms	(sqrt (sqrt y))
5.0ms	(* x (log (sqrt y)))
6.0ms	(* x (log (sqrt (sqrt y))))
7.0ms	(* x (log (sqrt (sqrt y))))

series54.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (sqrt y))
9.0ms	(* x (log (sqrt y)))
14.0ms	(* x (log (sqrt (sqrt y))))
15.0ms	(* x (log (sqrt (sqrt y))))

simplify73.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4968	1254
1	4968	1254

prune115.0ms

Filtered

78 candidates to 146 candidates (-87.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	145	6	151

Merged error: 0b

Counts

151 → 6

localize13.0ms

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:

19.0ms	(* x (log (cbrt y)))
23.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
22.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify86.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4951	620
1	4951	620

prune152.0ms

Filtered

63 candidates to 90 candidates (-42.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	90	6	96

Merged error: 0b

Counts

96 → 6

regimes176.0ms

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	44	23
1	44	23

end0.0ms

sample1.1s

Algorithm

intervals

Results

258.0ms	7998×	body	80	valid
0.0ms	2×	body	320	valid

Details

analyze209.0ms

sample37.0ms

simplify141.0ms

prune7.0ms

localize7.0ms

rewrite18.0ms

series28.0ms

simplify38.0ms

prune82.0ms

localize10.0ms

rewrite35.0ms

series43.0ms

simplify39.0ms

prune128.0ms

localize18.0ms

rewrite24.0ms

series54.0ms

simplify73.0ms

prune115.0ms

localize13.0ms

rewrite17.0ms

series86.0ms

simplify86.0ms

prune152.0ms

regimes176.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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