Details

sample867.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

13.0ms	89×	body	1280	valid
5.0ms	44×	body	640	valid
3.0ms	18×	body	2560	valid
2.0ms	71×	body	80	valid
2.0ms	26×	body	320	valid
0.0ms	8×	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

prune4.0ms

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: 44.5b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
9.4b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite12.0ms

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* x y) z)
9.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (15.0ms)

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

prune60.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	29	6	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	6	36

Merged error: 44.1b

Counts

36 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ z (+ (* x y) 1.0))
9.4b	(- (fma x y z) (+ z (+ (* x y) 1.0)))

rewrite14.0ms

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:

5.0ms	(+ z (+ (* x y) 1.0))
8.0ms	(- (fma x y z) (+ z (+ (* x y) 1.0)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ z (+ (* x y) 1.0))
9.0ms	(- (fma x y z) (+ z (+ (* x y) 1.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (4.0ms)

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

prune73.0ms

Filtered

24 candidates to 38 candidates (-58.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	37	7	44

Merged error: 32.1b

Counts

44 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
1.9b	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
2.4b	(- (fma x y z) z)
10.1b	(- (- (fma x y z) z) (+ (* x y) 1.0))

rewrite37.0ms

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:

10.0ms	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
10.0ms	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
3.0ms	(- (fma x y z) z)
11.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

series76.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(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))
5.0ms	(- (fma x y z) z)
9.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

simplify76.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (61.0ms)

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

prune201.0ms

Filtered

68 candidates to 120 candidates (-76.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	111	9	120
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	115	12	127

Merged error: 16.0b

Counts

127 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
1.9b	(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
2.4b	(- (fma x y z) z)
9.7b	(- (- (fma x y z) z) (* x y))

rewrite30.0ms

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

series106.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
10.0ms	(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
6.0ms	(- (fma x y z) z)
8.0ms	(- (- (fma x y z) z) (* x y))

simplify56.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (44.0ms)

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

prune105.0ms

Filtered

53 candidates to 98 candidates (-84.9%)

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	0	0	0
Total	108	2	110

Merged error: 8.5b

Counts

110 → 2

regimes116.0ms

Accuracy

0% (0.0b remaining)

Error of 8.8b against oracle of 8.8b and baseline of 8.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample1.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

377.0ms	2582×	body	1280	valid
181.0ms	1592×	body	640	valid
116.0ms	671×	body	2560	valid
67.0ms	2069×	body	80	valid
63.0ms	705×	body	320	valid
24.0ms	381×	body	160	valid

Details

sample867.0ms

simplify27.0ms

prune4.0ms

localize8.0ms

rewrite12.0ms

series17.0ms

simplify57.0ms

prune60.0ms

localize10.0ms

rewrite14.0ms

series15.0ms

simplify56.0ms

prune73.0ms

localize10.0ms

rewrite37.0ms

series76.0ms

simplify76.0ms

prune201.0ms

localize13.0ms

rewrite30.0ms

series106.0ms

simplify56.0ms

prune105.0ms

regimes116.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

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