Details

analyze2.3s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample91.0ms

Algorithm

intervals

Results

32.0ms	335×	body	80	invalid
20.0ms	256×	body	80	valid

simplify319.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (316.0ms)

Iter	Nodes	Cost
0	4955	29
1	4955	29

prune12.0ms

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: 9.9b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
4.5b	(* j (- (* c t) (* i y)))
4.5b	(* b (- (* c z) (* i a)))
5.4b	(* x (- (* y z) (* t a)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-*r/`
19×	`flip3--` `flip--`
16×	`add-sqr-sqrt`
12×	`frac-add`
11×	`sub-neg`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l` `add-log-exp`
8×	`frac-sub`
5×	`distribute-rgt-in` `distribute-lft-in`
3×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`associate-+r+` `associate--l+` `sum-log`
1×	`+-commutative` `associate-+l-` `flip3-+` `diff-log` `flip-+`

Counts

4 → 96

Calls

4 calls:

11.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
6.0ms	(* j (- (* c t) (* i y)))
6.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* x (- (* y z) (* t a)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
18.0ms	(* j (- (* c t) (* i y)))
22.0ms	(* b (- (* c z) (* i a)))
18.0ms	(* x (- (* y z) (* t a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5041	3303

prune290.0ms

Filtered

87 candidates to 108 candidates (-24.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	87	21	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	21	109

Merged error: 2.9b

Counts

109 → 21

localize27.0ms

Local error

Found 4 expressions with local error:

5.4b	(* x (- (* y z) (* t a)))
8.1b	(cbrt (* x (- (* y z) (* t a))))
8.1b	(cbrt (* x (- (* y z) (* t a))))
8.1b	(cbrt (* x (- (* y z) (* t a))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

6.0ms	(* x (- (* y z) (* t a)))
5.0ms	(cbrt (* x (- (* y z) (* t a))))
7.0ms	(cbrt (* x (- (* y z) (* t a))))
5.0ms	(cbrt (* x (- (* y z) (* t a))))

series143.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* x (- (* y z) (* t a)))
41.0ms	(cbrt (* x (- (* y z) (* t a))))
43.0ms	(cbrt (* x (- (* y z) (* t a))))
41.0ms	(cbrt (* x (- (* y z) (* t a))))

simplify46.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4999	831
1	4999	831

prune208.0ms

Filtered

56 candidates to 67 candidates (-19.6%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	20	20
Picked	0	1	1
Done	0	0	0
Total	66	22	88

Merged error: 2.9b

Counts

88 → 22

localize26.0ms

Local error

Found 4 expressions with local error:

5.4b	(* x (- (* y z) (* t a)))
6.8b	(cbrt (* b (- (* z c) (* a i))))
6.8b	(cbrt (* b (- (* z c) (* a i))))
6.8b	(cbrt (* b (- (* z c) (* a i))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

8.0ms	(* x (- (* y z) (* t a)))
5.0ms	(cbrt (* b (- (* z c) (* a i))))
5.0ms	(cbrt (* b (- (* z c) (* a i))))
5.0ms	(cbrt (* b (- (* z c) (* a i))))

series140.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* x (- (* y z) (* t a)))
42.0ms	(cbrt (* b (- (* z c) (* a i))))
40.0ms	(cbrt (* b (- (* z c) (* a i))))
40.0ms	(cbrt (* b (- (* z c) (* a i))))

simplify41.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5135	831

prune177.0ms

Filtered

59 candidates to 67 candidates (-13.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	6	14	20
Picked	1	0	1
Done	0	1	1
Total	73	16	89

Merged error: 1.3b

Counts

89 → 16

localize32.0ms

Local error

Found 4 expressions with local error:

5.4b	(* x (- (* y z) (* t a)))
5.6b	(cbrt (- (* z c) (* a i)))
5.6b	(cbrt (- (* z c) (* a i)))
5.6b	(cbrt (- (* c z) (* i a)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`sub-neg` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

6.0ms	(* x (- (* y z) (* t a)))
4.0ms	(cbrt (- (* z c) (* a i)))
4.0ms	(cbrt (- (* z c) (* a i)))
4.0ms	(cbrt (- (* c z) (* i a)))

series130.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* x (- (* y z) (* t a)))
36.0ms	(cbrt (- (* z c) (* a i)))
40.0ms	(cbrt (- (* z c) (* a i)))
36.0ms	(cbrt (- (* c z) (* i a)))

simplify48.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4933	894
1	4933	894

prune95.0ms

Filtered

66 candidates to 73 candidates (-10.6%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	14	14
Picked	0	1	1
Done	0	1	1
Total	72	17	89

Merged error: 1.3b

Counts

89 → 17

regimes1.9s

Accuracy

26.5% (7.9b remaining)

Error of 9.3b against oracle of 1.5b and baseline of 12.2b

bsearch124.0ms

Steps

Iters	Range		Point
8	1.3165901675820218e+87	4.7118206207906235e+89	5.856584311999987e+87
8	-2.6161062581360284e+37	-2.0785284782005548e+33	-2.527720501436647e+33

simplify25.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	1088	141
1	1088	141

end0.0ms

sample2.6s

Algorithm

intervals

Results

936.0ms	11147×	body	80	invalid
672.0ms	8000×	body	80	valid

Details

analyze2.3s

sample91.0ms

simplify319.0ms

prune12.0ms

localize24.0ms

rewrite33.0ms

series321.0ms

simplify46.0ms

prune290.0ms

localize27.0ms

rewrite24.0ms

series143.0ms

simplify46.0ms

prune208.0ms

localize26.0ms

rewrite24.0ms

series140.0ms

simplify41.0ms

prune177.0ms

localize32.0ms

rewrite18.0ms

series130.0ms

simplify48.0ms

prune95.0ms

regimes1.9s

bsearch124.0ms

simplify25.0ms

end0.0ms

sample2.6s

Profiling