Details

analyze236.0ms

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
1.0ms	14×	body	80	nan
0.0ms	1×	body	80	invalid

simplify185.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (184.0ms)

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 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
20×	`*-un-lft-identity`
19×	`associate--l+`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
11×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `associate-+l+`
5×	`add-exp-log` `add-cbrt-cube`
4×	`diff-log` `associate-r` `distribute-lft-out`
3×	`sub-neg` `associate-+r+` `associate-l` `sum-log` `log-pow`
2×	`distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 71

Calls

3 calls:

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

series31.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify67.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4928	727
1	4928	727

prune96.0ms

Filtered

57 candidates to 80 candidates (-40.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	6	81

Merged error: 0.0b

Counts

81 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 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)

series86.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (log (cbrt y)))
21.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
23.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify66.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4951	620
1	4951	620

prune112.0ms

Filtered

61 candidates to 90 candidates (-47.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	91	5	96

Merged error: 0b

Counts

96 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 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)

rewrite23.0ms

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:

8.0ms	(* x (log (pow y 1/3)))
9.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (pow y 1/3))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series88.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (log (pow y 1/3)))
27.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (pow y 1/3))))
22.0ms	(cbrt y)
20.0ms	(pow y 1/3)

simplify71.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5023	606

prune125.0ms

Filtered

67 candidates to 100 candidates (-49.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	100	5	105

Merged error: 0b

Counts

105 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

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

6.0ms	(+ (* (log (cbrt y)) 2) (log (cbrt (sqrt y))))
1.0ms	(cbrt y)
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series107.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (* (log (cbrt y)) 2) (log (cbrt (sqrt y))))
22.0ms	(cbrt y)
17.0ms	(cbrt (sqrt y))
16.0ms	(cbrt (sqrt y))

simplify40.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4921	547
1	4921	547

prune83.0ms

Filtered

51 candidates to 71 candidates (-39.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	71	5	76

Merged error: 0b

Counts

76 → 5

regimes547.0ms

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

sample619.0ms

Algorithm

intervals

Results

410.0ms	7997×	body	80	valid
15.0ms	379×	body	80	nan
2.0ms	41×	body	80	invalid
1.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze236.0ms

sample24.0ms

simplify185.0ms

prune8.0ms

localize10.0ms

rewrite25.0ms

series31.0ms

simplify67.0ms

prune96.0ms

localize15.0ms

rewrite18.0ms

series86.0ms

simplify66.0ms

prune112.0ms

localize24.0ms

rewrite23.0ms

series88.0ms

simplify71.0ms

prune125.0ms

localize21.0ms

rewrite13.0ms

series107.0ms

simplify40.0ms

prune83.0ms

regimes547.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample619.0ms

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