Details

analyze631.0ms

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

sample20.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	49×	body	80	invalid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	437	7
1	437	7

prune23.0ms

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

localize11.0ms

Local error

Found 2 expressions with local error:

0.8b	(- (* x y) (* z y))
6.6b	(* (- (* x y) (* z y)) t)

rewrite16.0ms

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:

6.0ms	(- (* x y) (* z y))
10.0ms	(* (- (* x y) (* z y)) t)

series31.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(- (* x y) (* z y))
22.0ms	(* (- (* x y) (* z y)) t)

simplify39.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5098	319

prune69.0ms

Filtered

29 candidates to 39 candidates (-34.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	33	8	41

Merged error: 0.0b

Counts

41 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- x z))
6.6b	(* (* y (- x z)) t)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

8.0ms	(* y (- x z))
7.0ms	(* (* y (- x z)) t)

series18.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify31.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5048	352

prune66.0ms

Filtered

31 candidates to 50 candidates (-61.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	49	9	58

Merged error: 0.0b

Counts

58 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* t (- x z))
6.7b	(* 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)))

simplify30.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5277	393

prune76.0ms

Filtered

30 candidates to 54 candidates (-80.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	49	5	54
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	52	11	63

Merged error: 0b

Counts

63 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (* t x)) (* y (* t (neg z))))
4.5b	(* y (* t (neg z)))
7.6b	(* y (* t x))

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

series25.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (* y (* t x)) (* y (* t (neg z))))
6.0ms	(* y (* t (neg z)))
6.0ms	(* y (* t x))

simplify45.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5104	409

prune43.0ms

Filtered

37 candidates to 59 candidates (-59.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	59	11	70

Merged error: 0b

Counts

70 → 11

regimes435.0ms

Accuracy

58.7% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 6.9b

bsearch30.0ms

Steps

Iters	Range		Point
7	1.1345685847105285e-98	2.1853082536895384e-97	2.165575148717488e-97
8	-3.37880412037792e+48	-2.1183028529629508e+45	-2.6835242218260603e+45

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	33
1	72	33

end0.0ms

sample541.0ms

Algorithm

intervals

Results

255.0ms	8000×	body	80	valid
58.0ms	1935×	body	80	invalid

Details

analyze631.0ms

sample20.0ms

simplify20.0ms

prune23.0ms

localize11.0ms

rewrite16.0ms

series31.0ms

simplify39.0ms

prune69.0ms

localize5.0ms

rewrite15.0ms

series18.0ms

simplify31.0ms

prune66.0ms

localize5.0ms

rewrite14.0ms

series18.0ms

simplify30.0ms

prune76.0ms

localize8.0ms

rewrite16.0ms

series25.0ms

simplify45.0ms

prune43.0ms

regimes435.0ms

bsearch30.0ms

simplify2.0ms

end0.0ms

sample541.0ms

Profiling