Details

analyze865.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

sample34.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
2.0ms	36×	body	80	invalid
2.0ms	35×	body	80	nan

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	278	16
1	278	16

prune15.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

6.0ms	(* (- a 0.5) b)
10.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
10.0ms	(- (+ (+ x y) z) (* z (log t)))
5.0ms	(* z (log t))

series60.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- a 0.5) b)
38.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
11.0ms	(- (+ (+ x y) z) (* z (log t)))
7.0ms	(* z (log t))

simplify48.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4801	1307
1	4801	1307

prune140.0ms

Filtered

72 candidates to 100 candidates (-38.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (* (log (cbrt t)) 2))
0.2b	(* z (log (cbrt t)))
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `cbrt-prod` `log-prod`
11×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* z (* (log (cbrt t)) 2))
5.0ms	(* z (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series82.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* z (* (log (cbrt t)) 2))
19.0ms	(* z (log (cbrt t)))
21.0ms	(cbrt t)
21.0ms	(cbrt t)

simplify58.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4854	520
1	4854	520

prune117.0ms

Filtered

56 candidates to 84 candidates (-50.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(- (* (- a 0.5) b) (* z (log t)))
0.1b	(+ z (- (* (- a 0.5) b) (* z (log t))))
0.3b	(* z (log t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

6.0ms	(* (- a 0.5) b)
7.0ms	(- (* (- a 0.5) b) (* z (log t)))
7.0ms	(+ z (- (* (- a 0.5) b) (* z (log t))))
5.0ms	(* z (log t))

series42.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- a 0.5) b)
15.0ms	(- (* (- a 0.5) b) (* z (log t)))
15.0ms	(+ z (- (* (- a 0.5) b) (* z (log t))))
8.0ms	(* z (log t))

simplify61.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5027	875

prune102.0ms

Filtered

60 candidates to 91 candidates (-51.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	91	5	96

Merged error: 0b

Counts

96 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series86.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt t)
23.0ms	(cbrt z)
21.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify44.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5007	196

prune62.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	56	5	61

Merged error: 0b

Counts

61 → 5

regimes1.0s

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 (0.0ms)

Iter	Nodes	Cost
0	27	25
1	27	25

end0.0ms

analyze869.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

sample931.0ms

Algorithm

intervals

Results

469.0ms	7993×	body	80	valid
65.0ms	1155×	body	80	invalid
61.0ms	1152×	body	80	nan
1.0ms	3×	body	640	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze865.0ms

sample34.0ms

simplify6.0ms

prune15.0ms

localize13.0ms

rewrite34.0ms

series60.0ms

simplify48.0ms

prune140.0ms

localize18.0ms

rewrite16.0ms

series82.0ms

simplify58.0ms

prune117.0ms

localize13.0ms

rewrite27.0ms

series42.0ms

simplify61.0ms

prune102.0ms

localize22.0ms

rewrite5.0ms

series86.0ms

simplify44.0ms

prune62.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze869.0ms

sample931.0ms

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