Details

analyze332.0ms

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%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

sample50.0ms

Algorithm

intervals

Results

13.0ms	193×	body	80	valid
8.0ms	22×	body	640	valid
7.0ms	10×	body	1280	valid
5.0ms	21×	body	320	valid
1.0ms	10×	body	160	valid
1.0ms	9×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	17
1	27	17

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: 7.3b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.1b	(* (- x 1.0) (log y))
5.3b	(log (- 1.0 y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`log-prod`
13×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-l`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`flip3--` `associate-*l/` `flip--`
3×	`log-pow`
2×	`log-div` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 93

Calls

4 calls:

10.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
8.0ms	(* (- z 1.0) (log (- 1.0 y)))
7.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series55.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
6.0ms	(* (- z 1.0) (log (- 1.0 y)))
9.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

simplify60.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4967	1320
1	4967	1320

prune199.0ms

Filtered

77 candidates to 105 candidates (-36.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	97	8	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	8	106

Merged error: 0.1b

Counts

106 → 8

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* y (/ (* y 1/2) (* 1.0 1.0))))))) t)
0.0b	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* y (/ (* y 1/2) (* 1.0 1.0))))))
0.1b	(* (- x 1.0) (log y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
12×	`log-prod`
11×	`add-cube-cbrt`
10×	`associate-r` `associate-l`
9×	`pow1`
8×	`flip3--` `flip--` `add-log-exp`
7×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate--l+` `add-cbrt-cube`
5×	`distribute-lft-out--`
4×	`frac-times` `associate-*l/` `difference-of-squares`
3×	`sub-neg`
2×	`diff-log` `associate-r/` `pow-prod-down` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sum-log`

Counts

3 → 83

Calls

3 calls:

12.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* y (/ (* y 1/2) (* 1.0 1.0))))))) t)
12.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* y (/ (* y 1/2) (* 1.0 1.0))))))
7.0ms	(* (- x 1.0) (log y))

series71.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* y (/ (* y 1/2) (* 1.0 1.0))))))) t)
11.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* y (/ (* y 1/2) (* 1.0 1.0))))))
9.0ms	(* (- x 1.0) (log y))

simplify46.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	6008	1901

prune205.0ms

Filtered

68 candidates to 92 candidates (-35.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	92	8	100

Merged error: 0.1b

Counts

100 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log y))
7.8b	(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
11.9b	(log (+ (sqrt 1.0) (sqrt y)))
12.1b	(log (- (sqrt 1.0) (sqrt y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

34×	`log-prod` `*-un-lft-identity`
32×	`add-sqr-sqrt`
16×	`sqrt-prod`
13×	`pow1`
12×	`add-cube-cbrt`
9×	`associate-+r+` `difference-of-squares`
8×	`add-exp-log` `log-div` `distribute-lft-out`
7×	`log-pow`
6×	`add-cbrt-cube`
5×	`associate-+l+` `associate-l` `distribute-lft-out--`
4×	`associate-r` `add-log-exp`
3×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip3-+` `flip--` `flip-+`
2×	`associate-+l-` `associate-+r-` `rem-log-exp` `associate-*l/`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

7.0ms	(* (- x 1.0) (log y))
14.0ms	(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
5.0ms	(log (+ (sqrt 1.0) (sqrt y)))
6.0ms	(log (- (sqrt 1.0) (sqrt y)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- x 1.0) (log y))
18.0ms	(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
7.0ms	(log (+ (sqrt 1.0) (sqrt y)))
10.0ms	(log (- (sqrt 1.0) (sqrt y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4957	1442
1	4957	1442

prune261.0ms

Filtered

76 candidates to 110 candidates (-44.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	110	8	118

Merged error: 0.1b

Counts

118 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log y))
8.8b	(+ (* (log (+ (sqrt 1.0) (sqrt y))) (- z 1.0)) (* (log (- (sqrt 1.0) (sqrt y))) (- z 1.0)))
11.9b	(log (+ (sqrt 1.0) (sqrt y)))
12.1b	(log (- (sqrt 1.0) (sqrt y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`log-prod` `*-un-lft-identity`
10×	`add-cube-cbrt`
9×	`pow1`
8×	`add-exp-log` `associate-*r/` `sqrt-prod`
6×	`flip3--` `add-cbrt-cube` `flip--` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `difference-of-squares`
4×	`sub-neg` `log-div` `associate-r` `frac-add`
3×	`log-pow` `distribute-lft-out--`
2×	`associate-+l+` `associate-+r+` `flip3-+` `rem-log-exp` `associate-*l/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-out` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

7.0ms	(* (- x 1.0) (log y))
8.0ms	(+ (* (log (+ (sqrt 1.0) (sqrt y))) (- z 1.0)) (* (log (- (sqrt 1.0) (sqrt y))) (- z 1.0)))
5.0ms	(log (+ (sqrt 1.0) (sqrt y)))
6.0ms	(log (- (sqrt 1.0) (sqrt y)))

series79.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- x 1.0) (log y))
52.0ms	(+ (* (log (+ (sqrt 1.0) (sqrt y))) (- z 1.0)) (* (log (- (sqrt 1.0) (sqrt y))) (- z 1.0)))
10.0ms	(log (+ (sqrt 1.0) (sqrt y)))
7.0ms	(log (- (sqrt 1.0) (sqrt y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4964	1476
1	4964	1476

prune211.0ms

Filtered

73 candidates to 97 candidates (-32.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	97	8	105

Merged error: 0.1b

Counts

105 → 8

regimes508.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	29
1	28	29

end0.0ms

analyze328.0ms

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%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

sample1.4s

Algorithm

intervals

Results

409.0ms	5798×	body	80	valid
293.0ms	800×	body	640	valid
188.0ms	272×	body	1280	valid
164.0ms	705×	body	320	valid
61.0ms	425×	body	160	valid
19.0ms	259×	body	80	nan
1.0ms	16×	body	80	invalid

Details

analyze332.0ms

sample50.0ms

simplify3.0ms

prune8.0ms

localize13.0ms

rewrite31.0ms

series55.0ms

simplify60.0ms

prune199.0ms

localize19.0ms

rewrite34.0ms

series71.0ms

simplify46.0ms

prune205.0ms

localize20.0ms

rewrite35.0ms

series45.0ms

simplify81.0ms

prune261.0ms

localize20.0ms

rewrite29.0ms

series79.0ms

simplify54.0ms

prune211.0ms

regimes508.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze328.0ms

sample1.4s

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