Details

sample28.0ms

Algorithm

intervals

Results

6.0ms	222×	body	80	valid
4.0ms	34×	body	1280	valid
4.0ms	36×	body	640	valid
2.0ms	19×	body	320	valid
1.0ms	8×	body	2560	valid
1.0ms	16×	body	160	valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (17.0ms)

Iter	Nodes	Cost
0	23	6
1	75	5
2	223	4
3	515	3
4	1164	2
5	3578	2
6	5001	2

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y (- x z) 0)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma y (- x z) 0)

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(fma y (- x z) 0)

simplify69.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	29	44
1	61	39
2	251	39
3	1485	39
4	5001	39

prune35.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* y y))
0.0b	(- (+ (* x y) (* y y)) (* y z))
11.1b	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
12×	`prod-diff`
9×	`add-sqr-sqrt` `associate--l+`
8×	`add-cube-cbrt` `distribute-rgt-out` `*-un-lft-identity` `fma-neg`
7×	`diff-log`
5×	`distribute-lft-out--`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `sum-log` `add-cbrt-cube` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `fma-def` `flip3-+` `flip-+` `difference-of-squares`

Counts

3 → 74

Calls

3 calls:

3.0ms	(+ (* x y) (* y y))
19.0ms	(- (+ (* x y) (* y y)) (* y z))
86.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

series97.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* x y) (* y y))
27.0ms	(- (+ (* x y) (* y y)) (* y z))
36.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

simplify46.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	290	557
1	1187	476
2	5001	430

prune184.0ms

Filtered

83 candidates to 63 candidates (75.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y (+ x y) (- (* z y)))
11.1b	(- (fma y (+ x y) (- (* z y))) (* y y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `difference-of-squares`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma y (+ x y) (- (* z y)))
3.0ms	(- (fma y (+ x y) (- (* z y))) (* y y))

series102.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(fma y (+ x y) (- (* z y)))
73.0ms	(- (fma y (+ x y) (- (* z y))) (* y y))

simplify83.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	125	281
1	443	245
2	2735	233
3	5002	220

prune98.0ms

Filtered

38 candidates to 31 candidates (81.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y (- x z) 0)
0.3b	(pow (fma y (- x z) 0) 3)
34.4b	(cbrt (pow (fma y (- x z) 0) 3))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma y (- x z) 0)
1.0ms	(pow (fma y (- x z) 0) 3)
1.0ms	(cbrt (pow (fma y (- x z) 0) 3))

series137.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(fma y (- x z) 0)
57.0ms	(pow (fma y (- x z) 0) 3)
40.0ms	(cbrt (pow (fma y (- x z) 0) 3))

simplify34.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	164	297
1	677	282
2	5001	274

prune116.0ms

Filtered

67 candidates to 38 candidates (56.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2

end0.0ms

sample723.0ms

Algorithm

intervals

Results

198.0ms	7112×	body	80	valid
125.0ms	988×	body	1280	valid
96.0ms	916×	body	640	valid
43.0ms	572×	body	320	valid
28.0ms	186×	body	2560	valid
21.0ms	366×	body	160	valid