Details

sample32.0ms

Algorithm

intervals

Results

9.0ms	70×	body	1280	valid
6.0ms	62×	body	640	valid
4.0ms	26×	body	2560	valid
2.0ms	67×	body	80	valid
2.0ms	21×	body	320	valid
1.0ms	10×	body	160	valid

simplify29.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
10.6b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite29.0ms

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)
25.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series57.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (* x y) z)
36.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify59.0ms

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

prune89.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 44.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
10.6b	(- (- (fma x y z) 1.0) (+ (* x y) z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

3.0ms	(+ (* x y) z)
24.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

series59.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* x y) z)
39.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

simplify36.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	281	361
1	1187	349
2	5001	338

prune111.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 44.3b

localize8.0ms

Local error

Found 2 expressions with local error:

1.2b	(- (- (- (fma x y z) 1.0) (* x y)) z)
10.4b	(- (- (fma x y z) 1.0) (* x y))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

82.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
18.0ms	(- (- (fma x y z) 1.0) (* x y))

series70.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
34.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify57.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	162	275
1	515	264
2	2224	259
3	5001	259

prune122.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 44.2b

localize15.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (- (- (fma x y z) 1.0) (* x y)) z)
10.4b	(- (- (fma x y z) 1.0) (* x y))
10.4b	(- (- (fma x y z) 1.0) (* x y))
10.4b	(- (- (fma x y z) 1.0) (* x y))

rewrite135.0ms

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:

80.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
18.0ms	(- (- (fma x y z) 1.0) (* x y))
18.0ms	(- (- (fma x y z) 1.0) (* x y))
18.0ms	(- (- (fma x y z) 1.0) (* x y))

series138.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
32.0ms	(- (- (fma x y z) 1.0) (* x y))
31.0ms	(- (- (fma x y z) 1.0) (* x y))
35.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify61.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (16.0ms)

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

prune213.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 44.2b

regimes207.0ms

Accuracy

0% (0.7b remaining)

Error of 44.7b against oracle of 44.0b and baseline of 44.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	14	20

end0.0ms

sample904.0ms

Algorithm

intervals

Results

329.0ms	2532×	body	1280	valid
171.0ms	1650×	body	640	valid
101.0ms	653×	body	2560	valid
58.0ms	2128×	body	80	valid
53.0ms	676×	body	320	valid
18.0ms	361×	body	160	valid