Details

analyze639.0ms

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
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
23.4%	74.9%	1.8%	11
27.3%	69%	3.7%	12
36.6%	56.5%	6.8%	13
40.5%	52%	7.4%	14

sample27.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	66×	body	80	invalid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	437	7
1	437	7

prune11.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* t (- x z))
5.3b	(* y (* t (- x z)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

6.0ms	(* t (- x z))
7.0ms	(* y (* t (- x z)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* t (- x z))
11.0ms	(* y (* t (- x z)))

simplify35.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5277	393

prune267.0ms

Filtered

32 candidates to 54 candidates (-68.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	6	54
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Merged error: 0.0b

Counts

56 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
2.3b	(* t (* (- x z) (cbrt y)))
4.0b	(* (* (cbrt y) (cbrt y)) (* t (* (- x z) (cbrt y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1` `add-exp-log`
21×	`add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `associate-*r/`
4×	`associate-l` `associate-*l/` `add-log-exp`
2×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
7.0ms	(* t (* (- x z) (cbrt y)))
14.0ms	(* (* (cbrt y) (cbrt y)) (* t (* (- x z) (cbrt y))))

series96.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
25.0ms	(cbrt y)
33.0ms	(* t (* (- x z) (cbrt y)))
16.0ms	(* (* (cbrt y) (cbrt y)) (* t (* (- x z) (cbrt y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4958	564
1	4958	564

prune80.0ms

Filtered

51 candidates to 84 candidates (-64.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize6.0ms

Local error

Found 1 expressions with local error:

7.6b	(* (* y t) (- x z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

7.0ms

(* (* y t) (- x z))

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(* (* y t) (- x z))

simplify41.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5019	214

prune38.0ms

Filtered

15 candidates to 27 candidates (-80.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	27	8	35

Merged error: 0.0b

Counts

35 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

1.1b	(- (* x y) (* z y))
9.2b	(* (- (* x y) (* z y)) t)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

3.0ms	(- (* x y) (* z y))
6.0ms	(* (- (* x y) (* z y)) t)

series22.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(- (* x y) (* z y))
15.0ms	(* (- (* x y) (* z y)) t)

simplify45.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5098	319

prune33.0ms

Filtered

28 candidates to 39 candidates (-39.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	38	9	47

Merged error: 0.0b

Counts

47 → 9

regimes519.0ms

Accuracy

56% (3.2b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 7.4b

bsearch18.0ms

Steps

Iters	Range		Point
7	1.4439814320466777e-46	4.5263013481127596e-45	1.3231564757824707e-45
2	-1.2374292806408867e+129	-1.0881313811681093e+129	-1.1067936186022065e+129

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	25
1	53	25

end0.0ms

sample568.0ms

Algorithm

intervals

Results

257.0ms	8000×	body	80	valid
57.0ms	1779×	body	80	invalid

Details

analyze639.0ms

sample27.0ms

simplify18.0ms

prune11.0ms

localize5.0ms

rewrite14.0ms

series18.0ms

simplify35.0ms

prune267.0ms

localize12.0ms

rewrite26.0ms

series96.0ms

simplify45.0ms

prune80.0ms

localize6.0ms

rewrite8.0ms

series13.0ms

simplify41.0ms

prune38.0ms

localize6.0ms

rewrite10.0ms

series22.0ms

simplify45.0ms

prune33.0ms

regimes519.0ms

bsearch18.0ms

simplify2.0ms

end0.0ms

sample568.0ms

Profiling