Details

sample36.0ms

Algorithm

intervals

Results

12.0ms	86×	body	1280	valid
6.0ms	48×	body	640	valid
4.0ms	24×	body	2560	valid
3.0ms	75×	body	80	valid
1.0ms	17×	body	320	valid
0.0ms	6×	body	160	valid

simplify30.0ms

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

Filtered

1 candidates to 0 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: 43.4b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
11.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ (* x y) z)
8.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* x y) z)
40.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	178	220
1	602	204
2	2697	203
3	5001	203

prune92.0ms

Filtered

35 candidates to 24 candidates (68.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	27	8	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	8	36

Merged error: 43.0b

Counts

36 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ z (+ (* x y) 1.0))
11.8b	(- (fma x y z) (+ z (+ (* x y) 1.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

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

series66.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ z (+ (* x y) 1.0))
38.0ms	(- (fma x y z) (+ z (+ (* x y) 1.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	163	239
1	539	228
2	2487	228
3	5002	228

prune102.0ms

Filtered

38 candidates to 24 candidates (63.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	36	10	46

Merged error: 30.2b

Counts

46 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
2.0b	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
2.3b	(- (fma x y z) z)
11.8b	(- (- (fma x y z) z) (+ (* x y) 1.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`cbrt-prod` `add-log-exp`
16×	`distribute-lft-out--`
12×	`cube-div` `unpow-prod-down` `cube-prod` `frac-sub`
10×	`add-cube-cbrt` `flip3--` `flip--`
7×	`diff-log`
6×	`cbrt-div` `flip3-+` `flip-+` `difference-of-squares`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`sub-neg` `pow-unpow`
2×	`cube-mult` `unpow3` `associate--l+` `sum-log` `sqr-pow`
1×	`associate--l-` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `associate--r+` `rem-cube-cbrt`

Counts

4 → 108

Calls

4 calls:

11.0ms	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
11.0ms	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
3.0ms	(- (fma x y z) z)
13.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

series277.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
38.0ms	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
24.0ms	(- (fma x y z) z)
37.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	585	1293
1	2703	1238
2	5002	1229

prune291.0ms

Filtered

120 candidates to 67 candidates (55.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	113	7	120
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	117	13	130

Merged error: 16.3b

Counts

130 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
2.0b	(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
2.3b	(- (fma x y z) z)
11.5b	(- (- (fma x y z) z) (* x y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-prod`
11×	`add-log-exp`
10×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
4×	`cube-div` `flip3--` `diff-log` `flip--`
3×	`sub-neg` `pow-unpow`
2×	`cube-mult` `cbrt-div` `unpow3` `associate--l+` `sqr-pow`
1×	`associate--l-` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 86

Calls

4 calls:

9.0ms	(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
9.0ms	(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
3.0ms	(- (fma x y z) z)
7.0ms	(- (- (fma x y z) z) (* x y))

series274.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
43.0ms	(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
19.0ms	(- (fma x y z) z)
31.0ms	(- (- (fma x y z) z) (* x y))

simplify57.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	430	820
1	1762	777
2	5001	771

prune188.0ms

Filtered

98 candidates to 54 candidates (55.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	10	1	11
Picked	1	0	1
Done	1	0	1
Total	109	2	111

Merged error: 10.8b

Counts

111 → 2

regimes47.0ms

Accuracy

0% (0.0b remaining)

Error of 8.6b against oracle of 8.6b and baseline of 8.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

380.0ms	2615×	body	1280	valid
193.0ms	1637×	body	640	valid
110.0ms	622×	body	2560	valid
75.0ms	2053×	body	80	valid
67.0ms	735×	body	320	valid
21.0ms	338×	body	160	valid

Details

sample36.0ms

simplify30.0ms

prune3.0ms

localize12.0ms

rewrite13.0ms

series61.0ms

simplify61.0ms

prune92.0ms

localize10.0ms

rewrite15.0ms

series66.0ms

simplify60.0ms

prune102.0ms

localize11.0ms

rewrite42.0ms

series277.0ms

simplify79.0ms

prune291.0ms

localize16.0ms

rewrite31.0ms

series274.0ms

simplify57.0ms

prune188.0ms

regimes47.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

Profiling