Details

analyze178.0ms

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

sample23.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid
0.0ms	5×	body	80	nan

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4949	12
1	4949	12

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 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` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `associate-+l+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

6.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
7.0ms	(+ (- 1.0 z) (log z))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series43.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
14.0ms	(+ (- 1.0 z) (log z))
16.0ms	(* y (+ (- 1.0 z) (log z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5074	702

prune113.0ms

Filtered

48 candidates to 69 candidates (-43.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	7	70

Merged error: 0.0b

Counts

70 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

11.0ms	(+ (+ 1.0 (- (* (log (cbrt z)) 2) z)) (log (cbrt z)))
11.0ms	(* y (+ (+ 1.0 (- (* (log (cbrt z)) 2) z)) (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series126.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (+ 1.0 (- (* (log (cbrt z)) 2) z)) (log (cbrt z)))
37.0ms	(* y (+ (+ 1.0 (- (* (log (cbrt z)) 2) z)) (log (cbrt z))))
21.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify69.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4872	655
1	4872	655

prune122.0ms

Filtered

54 candidates to 85 candidates (-57.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	5	5
Picked	1	0	1
Done	1	0	1
Total	86	6	92

Merged error: 0.0b

Counts

92 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ 1.0 (- (* (log (cbrt z)) 2) z)) (log (pow z 1/3)))
0.2b	(* y (+ (+ 1.0 (- (* (log (cbrt z)) 2) z)) (log (pow z 1/3))))
0.6b	(cbrt z)
4.9b	(pow z 1/3)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
10×	`add-log-exp`
7×	`pow1` `add-exp-log` `associate-+r+` `log-prod`
6×	`unpow-prod-down` `add-cbrt-cube` `distribute-lft-out`
5×	`associate-r` `sum-log`
3×	`cbrt-prod` `pow-unpow` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `associate-+l-` `associate-+r-` `associate-+l+` `pow-pow` `distribute-lft-in` `unpow1/3` `pow1/3` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

10.0ms	(+ (+ 1.0 (- (* (log (cbrt z)) 2) z)) (log (pow z 1/3)))
11.0ms	(* y (+ (+ 1.0 (- (* (log (cbrt z)) 2) z)) (log (pow z 1/3))))
1.0ms	(cbrt z)
2.0ms	(pow z 1/3)

series144.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (+ 1.0 (- (* (log (cbrt z)) 2) z)) (log (pow z 1/3)))
45.0ms	(* y (+ (+ 1.0 (- (* (log (cbrt z)) 2) z)) (log (pow z 1/3))))
21.0ms	(cbrt z)
19.0ms	(pow z 1/3)

simplify62.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4852	679
1	4852	679

prune149.0ms

Filtered

63 candidates to 89 candidates (-41.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	89	6	95

Merged error: 0.0b

Counts

95 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (+ 1.0 (- (log z) z)))) (cbrt (* y (+ 1.0 (- (log z) z)))))
0.6b	(cbrt (* y (+ 1.0 (- (log z) z))))
0.6b	(cbrt (* y (+ 1.0 (- (log z) z))))
0.6b	(cbrt (* y (+ 1.0 (- (log z) z))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* y (+ 1.0 (- (log z) z)))) (cbrt (* y (+ 1.0 (- (log z) z)))))
6.0ms	(cbrt (* y (+ 1.0 (- (log z) z))))
7.0ms	(cbrt (* y (+ 1.0 (- (log z) z))))
7.0ms	(cbrt (* y (+ 1.0 (- (log z) z))))

series169.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (cbrt (* y (+ 1.0 (- (log z) z)))) (cbrt (* y (+ 1.0 (- (log z) z)))))
35.0ms	(cbrt (* y (+ 1.0 (- (log z) z))))
37.0ms	(cbrt (* y (+ 1.0 (- (log z) z))))
35.0ms	(cbrt (* y (+ 1.0 (- (log z) z))))

simplify66.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4965	3440
1	4965	3440

prune335.0ms

Filtered

65 candidates to 84 candidates (-29.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

regimes243.0ms

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	79	20
1	79	20

end0.0ms

sample580.0ms

Algorithm

intervals

Results

376.0ms	8000×	body	80	valid
14.0ms	303×	body	80	invalid
3.0ms	79×	body	80	nan

Details

analyze178.0ms

sample23.0ms

simplify88.0ms

prune8.0ms

localize9.0ms

rewrite23.0ms

series43.0ms

simplify65.0ms

prune113.0ms

localize13.0ms

rewrite27.0ms

series126.0ms

simplify69.0ms

prune122.0ms

localize24.0ms

rewrite26.0ms

series144.0ms

simplify62.0ms

prune149.0ms

localize16.0ms

rewrite28.0ms

series169.0ms

simplify66.0ms

prune335.0ms

regimes243.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample580.0ms

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