Details

analyze632.0ms

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%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	55×	body	80	invalid

simplify220.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (218.0ms)

Iter	Nodes	Cost
0	1852	11
1	1852	11

prune7.0ms

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: 4.2b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ y z) (/ t (- 1.0 z)))
4.0b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
16×	`times-frac`
10×	`associate-r`
8×	`distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r/` `associate-l*`
2×	`flip3--` `frac-sub` `flip--`
1×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

22.0ms	(- (/ y z) (/ t (- 1.0 z)))
22.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series25.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(- (/ y z) (/ t (- 1.0 z)))
16.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify40.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4936	738
1	4936	738

prune107.0ms

Filtered

41 candidates to 55 candidates (-34.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	46	9	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	10	56

Merged error: 0.3b

Counts

56 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

4.0b	(* x (- (/ y z) (/ t (- 1.0 z))))
8.0b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
8.0b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
8.0b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

23.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
19.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
22.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
19.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series200.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
59.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
61.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
63.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4977	1116
1	4977	1116

prune214.0ms

Filtered

64 candidates to 78 candidates (-21.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	76	12	88

Merged error: 0.3b

Counts

88 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

4.0b	(* x (- (/ y z) (/ t (- 1.0 z))))
5.8b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.0b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
8.0b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
16×	`times-frac`
12×	`cbrt-prod`
10×	`associate-r`
9×	`cbrt-div` `associate-*r/`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`flip3--` `frac-sub` `flip--` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`sub-neg`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

25.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
18.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
19.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
20.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series180.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
41.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
63.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
59.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4956	1298
1	4956	1298

prune238.0ms

Filtered

71 candidates to 87 candidates (-22.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	86	13	99

Merged error: 0.3b

Counts

99 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

4.0b	(* x (- (/ y z) (/ t (- 1.0 z))))
8.0b	(cbrt (* (* (cbrt x) (cbrt x)) (* (- (/ y z) (/ t (- 1.0 z))) (cbrt x))))
8.0b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
8.0b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

25.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
25.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (- (/ y z) (/ t (- 1.0 z))) (cbrt x))))
20.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
22.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series199.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
61.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (- (/ y z) (/ t (- 1.0 z))) (cbrt x))))
62.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
60.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4982	1132
1	4982	1132

prune178.0ms

Filtered

65 candidates to 78 candidates (-20.0%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	9	9
Picked	0	1	1
Done	0	3	3
Total	78	13	91

Merged error: 0.3b

Counts

91 → 13

regimes787.0ms

Accuracy

88.4% (0.4b remaining)

Error of 1.3b against oracle of 0.8b and baseline of 4.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	53
1	67	53

end0.0ms

sample592.0ms

Algorithm

intervals

Results

289.0ms	8000×	body	80	valid
66.0ms	1806×	body	80	invalid

Details

analyze632.0ms

sample22.0ms

simplify220.0ms

prune7.0ms

localize8.0ms

rewrite45.0ms

series25.0ms

simplify40.0ms

prune107.0ms

localize12.0ms

rewrite86.0ms

series200.0ms

simplify52.0ms

prune214.0ms

localize19.0ms

rewrite84.0ms

series180.0ms

simplify82.0ms

prune238.0ms

localize19.0ms

rewrite95.0ms

series199.0ms

simplify50.0ms

prune178.0ms

regimes787.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample592.0ms

Profiling