Details

analyze260.0ms

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

sample26.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
0.0ms	10×	body	80	nan

simplify195.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (193.0ms)

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:

12.0ms	(+ (- (- (* x (log y)) y) z) (log t))
10.0ms	(- (- (* x (log y)) y) z)
4.0ms	(- (* x (log y)) y)
4.0ms	(* x (log y))

series38.0ms

Counts

4 → 12

Calls

4 calls:

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

prune121.0ms

Filtered

77 candidates to 105 candidates (-36.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

localize19.0ms

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)

rewrite18.0ms

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)

series83.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* x (log (cbrt y)))
20.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify60.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4951	620
1	4951	620

prune112.0ms

Filtered

61 candidates to 90 candidates (-47.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	91	6	97

Merged error: 0b

Counts

97 → 6

localize24.0ms

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)
5.0b	(pow y 1/3)

rewrite20.0ms

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)

series121.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* x (log (pow y 1/3)))
45.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (pow y 1/3))))
28.0ms	(cbrt y)
21.0ms	(pow y 1/3)

simplify96.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5023	606

prune129.0ms

Filtered

67 candidates to 100 candidates (-49.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	100	6	106

Merged error: 0b

Counts

106 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (log (cbrt y)) 2) (log (cbrt (sqrt y))))
0.5b	(cbrt (sqrt y))
0.5b	(cbrt (sqrt y))
0.6b	(cbrt y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`associate-+r+` `log-prod` `sqrt-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 59

Calls

4 calls:

7.0ms	(+ (* (log (cbrt y)) 2) (log (cbrt (sqrt y))))
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))
1.0ms	(cbrt y)

series110.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* (log (cbrt y)) 2) (log (cbrt (sqrt y))))
15.0ms	(cbrt (sqrt y))
25.0ms	(cbrt (sqrt y))
21.0ms	(cbrt y)

simplify38.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4921	547
1	4921	547

prune104.0ms

Filtered

51 candidates to 71 candidates (-39.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	71	6	77

Merged error: 0b

Counts

77 → 6

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	30	11
1	30	11

end0.0ms

sample697.0ms

Algorithm

intervals

Results

467.0ms	7999×	body	80	valid
16.0ms	391×	body	80	nan
2.0ms	35×	body	80	invalid
1.0ms	1×	body	1280	valid

Details

analyze260.0ms

sample26.0ms

simplify195.0ms

prune8.0ms

localize11.0ms

rewrite33.0ms

series38.0ms

simplify48.0ms

prune121.0ms

localize19.0ms

rewrite18.0ms

series83.0ms

simplify60.0ms

prune112.0ms

localize24.0ms

rewrite20.0ms

series121.0ms

simplify96.0ms

prune129.0ms

localize22.0ms

rewrite13.0ms

series110.0ms

simplify38.0ms

prune104.0ms

regimes600.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample697.0ms

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