Details

sample30.0ms

Algorithm

intervals

Results

10.0ms	227×	body	80	valid
4.0ms	29×	body	1280	valid
3.0ms	27×	body	640	valid
1.0ms	15×	body	320	valid
1.0ms	6×	body	2560	valid
0.0ms	9×	body	160	valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (18.0ms)

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

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)

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(fma y (- x z) 0)

simplify72.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

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

prune33.0ms

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	(- (+ (* x y) (* y y)) (* y z))
8.4b	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

18.0ms	(- (+ (* x y) (* y y)) (* y z))
78.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

series64.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(- (+ (* x y) (* y y)) (* y z))
37.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

simplify38.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	240	483
1	947	407
2	5001	363

prune138.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma y (- x z) 0)
0.2b	(* (sqrt (fma y (- x z) 0)) (sqrt (fma y (- x z) 0)))
2.5b	(sqrt (fma y (- x z) 0))
2.5b	(sqrt (fma y (- x z) 0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma y (- x z) 0)
7.0ms	(* (sqrt (fma y (- x z) 0)) (sqrt (fma y (- x z) 0)))
1.0ms	(sqrt (fma y (- x z) 0))
1.0ms	(sqrt (fma y (- x z) 0))

series190.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma y (- x z) 0)
39.0ms	(* (sqrt (fma y (- x z) 0)) (sqrt (fma y (- x z) 0)))
56.0ms	(sqrt (fma y (- x z) 0))
60.0ms	(sqrt (fma y (- x z) 0))

simplify151.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (143.0ms)

Iter	Nodes	Cost
0	167	465
1	606	407
2	3358	383
3	5001	372

prune195.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (fma y (- x z) 0)) (* (fabs (cbrt (fma y (- x z) 0))) (sqrt (cbrt (fma y (- x z) 0)))))
2.5b	(sqrt (fma y (- x z) 0))
3.0b	(cbrt (fma y (- x z) 0))
3.0b	(cbrt (fma y (- x z) 0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-sqr-sqrt`
9×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`cbrt-prod` `associate-l` `sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r` `*-commutative`

Counts

4 → 64

Calls

4 calls:

12.0ms	(* (sqrt (fma y (- x z) 0)) (* (fabs (cbrt (fma y (- x z) 0))) (sqrt (cbrt (fma y (- x z) 0)))))
1.0ms	(sqrt (fma y (- x z) 0))
0.0ms	(cbrt (fma y (- x z) 0))
1.0ms	(cbrt (fma y (- x z) 0))

series489.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (sqrt (fma y (- x z) 0)) (* (fabs (cbrt (fma y (- x z) 0))) (sqrt (cbrt (fma y (- x z) 0)))))
58.0ms	(sqrt (fma y (- x z) 0))
133.0ms	(cbrt (fma y (- x z) 0))
130.0ms	(cbrt (fma y (- x z) 0))

simplify117.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	310	674
1	963	597
2	3755	571
3	5001	571

prune239.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes81.0ms

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

sample771.0ms

Algorithm

intervals

Results

217.0ms	7031×	body	80	valid
129.0ms	1003×	body	1280	valid
96.0ms	934×	body	640	valid
47.0ms	602×	body	320	valid
33.0ms	216×	body	2560	valid
22.0ms	369×	body	160	valid