Details

analyze658.0ms

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

sample25.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
2.0ms	52×	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

prune12.0ms

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))
6.8b	(* 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)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* t (- x z))
10.0ms	(* y (* t (- x z)))

simplify32.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5277	393

prune69.0ms

Filtered

32 candidates to 54 candidates (-68.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	48	6	54
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	49	7	56

Merged error: 0.0b

Counts

56 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (* t x)) (* y (* t (neg z))))
5.4b	(* y (* t x))
5.5b	(* y (* t (neg z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`distribute-rgt-neg-out`
2×	`associate-r` `*-commutative`
1×	`+-commutative` `flip3-+` `unsub-neg` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 50

Calls

3 calls:

5.0ms	(+ (* y (* t x)) (* y (* t (neg z))))
4.0ms	(* y (* t x))
5.0ms	(* y (* t (neg z)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (* y (* t x)) (* y (* t (neg z))))
5.0ms	(* y (* t x))
6.0ms	(* y (* t (neg z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5104	409

prune64.0ms

Filtered

37 candidates to 59 candidates (-59.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	59	7	66

Merged error: 0.0b

Counts

66 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

7.2b	(* (* y t) (- x z))

rewrite7.0ms

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))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5019	214

prune37.0ms

Filtered

14 candidates to 27 candidates (-92.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	27	7	34

Merged error: 0.0b

Counts

34 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b	(- (* x y) (* z y))
7.4b	(* (- (* 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)

series20.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(- (* x y) (* z y))
13.0ms	(* (- (* x y) (* z y)) t)

simplify43.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5098	319

prune36.0ms

Filtered

29 candidates to 39 candidates (-34.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	38	8	46

Merged error: 0.0b

Counts

46 → 8

regimes393.0ms

Accuracy

61% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 6.9b

bsearch22.0ms

Steps

Iters	Range		Point
5	2.5249664665794476e-72	6.100930612385439e-72	5.665083954679196e-72
6	-13.93552686930975	-1.5458929244487705	-10.53972593920637

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	33
1	72	33

end0.0ms

sample558.0ms

Algorithm

intervals

Results

253.0ms	8000×	body	80	valid
56.0ms	1875×	body	80	invalid

Details

analyze658.0ms

sample25.0ms

simplify18.0ms

prune12.0ms

localize5.0ms

rewrite14.0ms

series17.0ms

simplify32.0ms

prune69.0ms

localize8.0ms

rewrite16.0ms

series24.0ms

simplify45.0ms

prune64.0ms

localize5.0ms

rewrite7.0ms

series10.0ms

simplify35.0ms

prune37.0ms

localize7.0ms

rewrite10.0ms

series20.0ms

simplify43.0ms

prune36.0ms

regimes393.0ms

bsearch22.0ms

simplify2.0ms

end0.0ms

sample558.0ms

Profiling