Details

analyze368.0ms

Algorithm: search

sample40.0ms

Algorithm

intervals

Results

15.0ms	84×	body	1280	valid
7.0ms	55×	body	640	valid
3.0ms	19×	body	2560	valid
3.0ms	28×	body	320	valid
2.0ms	58×	body	80	valid
1.0ms	12×	body	160	valid

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	43	5
2	91	5
3	194	5
4	321	5
5	579	5
6	1088	5
7	1305	5
8	1305	5

prune3.0ms

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: 47.4b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) z)
0.0b	(+ 1.0 (+ (* x y) z))
10.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`*-un-lft-identity`
7×	`sum-log`
5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `diff-log` `add-cbrt-cube`
2×	`+-commutative` `flip3-+` `flip-+` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `associate-+r+` `flip3--` `flip--` `associate--r+` `difference-of-squares`

Counts

3 → 43

Calls

3 calls:

3.0ms	(+ (* x y) z)
5.0ms	(+ 1.0 (+ (* x y) z))
7.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series21.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (* x y) z)
6.0ms	(+ 1.0 (+ (* x y) z))
10.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify74.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	223	293
1	768	282
2	3261	281
3	5002	281

prune80.0ms

Filtered

36 candidates to 52 candidates (-44.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	7	53

Merged error: 46.8b

Counts

53 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) z)
0.0b	(- (fma x y z) 1.0)
10.8b	(- (- (fma x y z) 1.0) (+ (* x y) z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `diff-log`
4×	`flip3--` `frac-sub` `flip--` `distribute-lft-out--`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`
2×	`associate--l+` `difference-of-squares`
1×	`+-commutative` `associate--l-` `associate--r+`

Counts

3 → 51

Calls

3 calls:

3.0ms	(+ (* x y) z)
3.0ms	(- (fma x y z) 1.0)
8.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

series17.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (* x y) z)
4.0ms	(- (fma x y z) 1.0)
9.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

simplify38.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	291	425
1	1198	413
2	5002	401

prune108.0ms

Filtered

39 candidates to 60 candidates (-53.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	51	9	60
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	53	14	67

Merged error: 46.3b

Counts

67 → 14

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma x y z) 1.0)
1.5b	(- (- (- (fma x y z) 1.0) (* x y)) z)
10.0b	(- (- (fma x y z) 1.0) (* x y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`diff-log`
8×	`associate--l+`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`sub-neg`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--`
2×	`associate--l-` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

3.0ms	(- (fma x y z) 1.0)
8.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
6.0ms	(- (- (fma x y z) 1.0) (* x y))

series19.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(- (fma x y z) 1.0)
9.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
7.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify58.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	203	339
1	593	328
2	2349	322
3	5001	322

prune119.0ms

Filtered

38 candidates to 60 candidates (-57.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	56	18	74

Merged error: 46.3b

Counts

74 → 18

localize12.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (- (- (fma x y z) 1.0) (* x y)) z)
10.0b	(- (- (fma x y z) 1.0) (* x y))
10.0b	(- (- (fma x y z) 1.0) (* x y))
10.0b	(- (- (fma x y z) 1.0) (* x y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-log-exp`
15×	`diff-log`
12×	`associate--l+`
9×	`sub-neg`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `associate--l-` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

10.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
6.0ms	(- (- (fma x y z) 1.0) (* x y))
6.0ms	(- (- (fma x y z) 1.0) (* x y))
6.0ms	(- (- (fma x y z) 1.0) (* x y))

series30.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
7.0ms	(- (- (fma x y z) 1.0) (* x y))
7.0ms	(- (- (fma x y z) 1.0) (* x y))
7.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify58.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	162	487
1	515	476
2	2224	469
3	5001	469

prune114.0ms

Filtered

53 candidates to 81 candidates (-52.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	17	17
Picked	0	1	1
Done	0	0	0
Total	80	19	99

Merged error: 46.3b

Counts

99 → 19

regimes338.0ms

Accuracy

0% (0.8b remaining)

Error of 44.8b against oracle of 44.0b and baseline of 44.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	35
1	17	35

end0.0ms

analyze366.0ms

Algorithm: search

sample1.0s

Algorithm

intervals

Results

407.0ms	2583×	body	1280	valid
191.0ms	1557×	body	640	valid
113.0ms	632×	body	2560	valid
73.0ms	2114×	body	80	valid
70.0ms	760×	body	320	valid
22.0ms	354×	body	160	valid

Details

analyze368.0ms

sample40.0ms

simplify27.0ms

prune3.0ms

localize8.0ms

rewrite16.0ms

series21.0ms

simplify74.0ms

prune80.0ms

localize8.0ms

rewrite17.0ms

series17.0ms

simplify38.0ms

prune108.0ms

localize9.0ms

rewrite18.0ms

series19.0ms

simplify58.0ms

prune119.0ms

localize12.0ms

rewrite30.0ms

series30.0ms

simplify58.0ms

prune114.0ms

regimes338.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze366.0ms

sample1.0s

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