Details

sample46.0ms

Algorithm

intervals

Results

17.0ms	87×	body	1280	valid
6.0ms	48×	body	640	valid
4.0ms	20×	body	2560	valid
2.0ms	25×	body	320	valid
2.0ms	62×	body	80	valid
1.0ms	14×	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

Filtered

1 candidates to 0 candidates (100.0%)

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: 46.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
10.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite11.0ms

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:

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (16.0ms)

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

prune71.0ms

Filtered

35 candidates to 24 candidates (31.4%)

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: 45.3b

Counts

36 → 8

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ z (+ (* x y) 1.0))
10.1b	(- (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))
7.0ms	(- (fma x y z) (+ z (+ (* x y) 1.0)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify57.0ms

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

prune76.0ms

Filtered

38 candidates to 24 candidates (36.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	38	8	46

Merged error: 30.1b

Counts

46 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
2.0b	(- (fma x y z) z)
3.1b	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
9.7b	(- (- (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:

9.0ms	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
3.0ms	(- (fma x y z) z)
12.0ms	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
9.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

series77.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
5.0ms	(- (fma x y z) z)
9.0ms	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
9.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	585	1293
1	2703	1238
2	5002	1237

prune195.0ms

Filtered

120 candidates to 70 candidates (41.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	112	8	120
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	116	12	128

Merged error: 13.6b

Counts

128 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
2.0b	(- (fma x y z) z)
3.1b	(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
8.5b	(- (- (fma x y z) z) (* x y))

rewrite29.0ms

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)
3.0ms	(- (fma x y z) z)
9.0ms	(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
6.0ms	(- (- (fma x y z) z) (* x y))

series74.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
5.0ms	(- (fma x y z) z)
10.0ms	(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
8.0ms	(- (- (fma x y z) z) (* x y))

simplify54.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (44.0ms)

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

prune102.0ms

Filtered

98 candidates to 54 candidates (44.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	10	1	11
Picked	1	0	1
Done	0	0	0
Total	107	3	110

Merged error: 7.3b

Counts

110 → 3

regimes139.0ms

Accuracy

0% (0.1b remaining)

Error of 8.2b against oracle of 8.1b and baseline of 8.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

391.0ms	2577×	body	1280	valid
198.0ms	1622×	body	640	valid
114.0ms	614×	body	2560	valid
74.0ms	2109×	body	80	valid
69.0ms	726×	body	320	valid
22.0ms	352×	body	160	valid

Details

sample46.0ms

simplify27.0ms

prune4.0ms

localize8.0ms

rewrite11.0ms

series15.0ms

simplify58.0ms

prune71.0ms

localize11.0ms

rewrite14.0ms

series16.0ms

simplify57.0ms

prune76.0ms

localize11.0ms

rewrite37.0ms

series77.0ms

simplify75.0ms

prune195.0ms

localize13.0ms

rewrite29.0ms

series74.0ms

simplify54.0ms

prune102.0ms

regimes139.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling