Details

analyze251.0ms

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
1.0ms	16×	body	80	nan
0.0ms	1×	body	80	invalid

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

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)
0.3b	(* 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:

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

prune102.0ms

Filtered

57 candidates to 80 candidates (-40.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	6	81

Merged error: 0.0b

Counts

81 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (- (* x (log y)) y) (- (* (log (cbrt t)) 2) z)) (log (cbrt t)))
0.3b	(* x (log y))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

13.0ms	(+ (+ (- (* x (log y)) y) (- (* (log (cbrt t)) 2) z)) (log (cbrt t)))
4.0ms	(* x (log y))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series78.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (+ (- (* x (log y)) y) (- (* (log (cbrt t)) 2) z)) (log (cbrt t)))
7.0ms	(* x (log y))
24.0ms	(cbrt t)
22.0ms	(cbrt t)

simplify49.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4936	726
1	4936	726

prune97.0ms

Filtered

57 candidates to 87 candidates (-52.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	87	6	93

Merged error: 0.0b

Counts

93 → 6

localize16.0ms

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))))
0.5b	(cbrt y)
0.5b	(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:

19.0ms	(* x (log (cbrt y)))
21.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
23.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify63.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4951	620
1	4951	620

prune107.0ms

Filtered

62 candidates to 90 candidates (-45.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	4	0	4
Picked	1	0	1
Done	0	1	1
Total	92	4	96

Merged error: 0.0b

Counts

96 → 4

localize26.0ms

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))))
0.5b	(cbrt y)
5.1b	(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:

6.0ms	(* 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)

series89.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* x (log (pow y 1/3)))
31.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (pow y 1/3))))
21.0ms	(cbrt y)
20.0ms	(pow y 1/3)

simplify71.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5023	606

prune109.0ms

Filtered

68 candidates to 100 candidates (-47.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	100	4	104

Merged error: 0.0b

Counts

104 → 4

regimes435.0ms

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	36	18
1	36	18

end0.0ms

sample665.0ms

Algorithm

intervals

Results

438.0ms	7998×	body	80	valid
15.0ms	377×	body	80	nan
1.0ms	24×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze251.0ms

sample26.0ms

simplify195.0ms

prune8.0ms

localize10.0ms

rewrite24.0ms

series30.0ms

simplify69.0ms

prune102.0ms

localize14.0ms

rewrite21.0ms

series78.0ms

simplify49.0ms

prune97.0ms

localize16.0ms

rewrite18.0ms

series86.0ms

simplify63.0ms

prune107.0ms

localize26.0ms

rewrite20.0ms

series89.0ms

simplify71.0ms

prune109.0ms

regimes435.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample665.0ms

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