Details

analyze235.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

sample28.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid
0.0ms	2×	body	80	nan

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	51	6
2	104	6
3	191	6
4	262	6
5	353	6
6	466	6
7	712	6
8	1110	6
9	1256	6
10	1257	6
11	1257	6

prune7.0ms

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 → 1

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

7.0ms	(+ (- 1.0 z) (log z))
5.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series301.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (- 1.0 z) (log z))
249.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
19.0ms	(* y (+ (- 1.0 z) (log z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	387	432
1	1513	383
2	5001	370

prune101.0ms

Filtered

44 candidates to 70 candidates (-59.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	7	71

Merged error: 0.0b

Counts

71 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 z))
0.0b	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
0.2b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

6.0ms	(* y (- 1.0 z))
8.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
7.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
5.0ms	(* y (log z))

series58.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* y (- 1.0 z))
22.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
15.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
10.0ms	(* y (log z))

simplify84.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	461	552
1	2006	494
2	5002	475

prune161.0ms

Filtered

62 candidates to 98 candidates (-58.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	99	6	105

Merged error: 0b

Counts

105 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
0.2b	(* y (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

9.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
9.0ms	(* y (log (cbrt z)))
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series152.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
38.0ms	(* y (log (cbrt z)))
37.0ms	(cbrt z)
22.0ms	(cbrt z)

simplify57.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	301	543
1	1196	479
2	5001	445

prune128.0ms

Filtered

61 candidates to 88 candidates (-44.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	88	6	94

Merged error: 0b

Counts

94 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log z))
0.5b	(cbrt (log z))
0.5b	(cbrt (log z))
0.5b	(* (cbrt (log z)) (cbrt (log z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

3.0ms	(cbrt (log z))
3.0ms	(cbrt (log z))
3.0ms	(cbrt (log z))
13.0ms	(* (cbrt (log z)) (cbrt (log z)))

series178.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (log z))
40.0ms	(cbrt (log z))
47.0ms	(cbrt (log z))
57.0ms	(* (cbrt (log z)) (cbrt (log z)))

simplify66.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	127	502
1	396	461
2	1763	389
3	5001	367

prune68.0ms

Filtered

52 candidates to 93 candidates (-78.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	93	6	99

Merged error: 0b

Counts

99 → 6

regimes491.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

analyze280.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

sample694.0ms

Algorithm

intervals

Results

452.0ms	8000×	body	80	valid
16.0ms	296×	body	80	invalid
3.0ms	65×	body	80	nan

Details

analyze235.0ms

sample28.0ms

simplify88.0ms

prune7.0ms

localize15.0ms

rewrite23.0ms

series301.0ms

simplify56.0ms

prune101.0ms

localize19.0ms

rewrite31.0ms

series58.0ms

simplify84.0ms

prune161.0ms

localize20.0ms

rewrite26.0ms

series152.0ms

simplify57.0ms

prune128.0ms

localize19.0ms

rewrite27.0ms

series178.0ms

simplify66.0ms

prune68.0ms

regimes491.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze280.0ms

sample694.0ms

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