Details

analyze242.0ms

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	7×	body	80	nan

simplify198.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (196.0ms)

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

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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:

12.0ms	(+ (- (- (* x (log y)) y) z) (log t))
5.0ms	(- (* x (log y)) y)
4.0ms	(* x (log y))

series30.0ms

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))

simplify69.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4928	727
1	4928	727

prune107.0ms

Filtered

57 candidates to 80 candidates (-40.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	73	7	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	7	81

Merged error: 0.0b

Counts

81 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`log-prod`
18×	`add-sqr-sqrt` `add-log-exp`
14×	`pow1` `add-cube-cbrt` `distribute-lft-out`
12×	`associate--l+`
9×	`sum-log`
8×	`log-pow`
6×	`add-exp-log` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `diff-log` `sqrt-prod` `add-cbrt-cube` `distribute-lft-out--`
4×	`associate-r`
3×	`associate-+l-` `associate-l`
2×	`sub-neg` `flip3--` `flip--`
1×	`+-commutative` `associate-+r-` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

15.0ms	(+ (+ (- (* x (log y)) y) (- (log (sqrt t)) z)) (log (sqrt t)))
8.0ms	(- (log (sqrt t)) z)
4.0ms	(- (* x (log y)) y)
4.0ms	(* x (log y))

series41.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (+ (- (* x (log y)) y) (- (log (sqrt t)) z)) (log (sqrt t)))
6.0ms	(- (log (sqrt t)) z)
10.0ms	(- (* x (log y)) y)
7.0ms	(* x (log y))

simplify66.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4963	995
1	4963	995

prune105.0ms

Filtered

70 candidates to 106 candidates (-51.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	106	7	113

Merged error: 0.0b

Counts

113 → 7

localize16.0ms

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)

rewrite19.0ms

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:

19.0ms	(* x (log (cbrt y)))
21.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify64.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4951	620
1	4951	620

prune103.0ms

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	2	3	5
Picked	0	1	1
Done	0	1	1
Total	91	6	97

Merged error: 0b

Counts

97 → 6

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))

rewrite12.0ms

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))

series103.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* (log (cbrt y)) 2) (log (cbrt (sqrt y))))
23.0ms	(cbrt y)
15.0ms	(cbrt (sqrt y))
15.0ms	(cbrt (sqrt y))

simplify38.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4921	547
1	4921	547

prune79.0ms

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

regimes466.0ms

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	33	16
1	33	16

end0.0ms

sample630.0ms

Algorithm

intervals

Results

411.0ms	7997×	body	80	valid
14.0ms	362×	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	320	valid

Details

analyze242.0ms

sample24.0ms

simplify198.0ms

prune8.0ms

localize13.0ms

rewrite24.0ms

series30.0ms

simplify69.0ms

prune107.0ms

localize12.0ms

rewrite35.0ms

series41.0ms

simplify66.0ms

prune105.0ms

localize16.0ms

rewrite19.0ms

series83.0ms

simplify64.0ms

prune103.0ms

localize21.0ms

rewrite12.0ms

series103.0ms

simplify38.0ms

prune79.0ms

regimes466.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample630.0ms

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