Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

316×

body

valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

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

series59.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (- 1.0 x) y)
32.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify102.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	184	181
1	787	167
2	4082	166
3	5001	166

prune62.0ms

Filtered

39 candidates to 29 candidates (74.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt (* (- 1.0 x) y)) (sqrt (* (- 1.0 x) y))) (* x z))
0.0b	(sqrt (* (- 1.0 x) y))
0.0b	(sqrt (* (- 1.0 x) y))
0.2b	(* (sqrt (* (- 1.0 x) y)) (sqrt (* (- 1.0 x) y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
32×	`sqrt-pow1`
22×	`pow-prod-down`
18×	`associate-*l/`
16×	`sqrt-div`
12×	`pow1/2`
10×	`add-sqr-sqrt` `pow-prod-up`
8×	`add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
6×	`add-exp-log` `sqrt-prod` `pow-sqr` `add-cbrt-cube` `add-log-exp`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l`
2×	`associate-*r/`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

14.0ms	(+ (* (sqrt (* (- 1.0 x) y)) (sqrt (* (- 1.0 x) y))) (* x z))
4.0ms	(sqrt (* (- 1.0 x) y))
5.0ms	(sqrt (* (- 1.0 x) y))
13.0ms	(* (sqrt (* (- 1.0 x) y)) (sqrt (* (- 1.0 x) y)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ (* (sqrt (* (- 1.0 x) y)) (sqrt (* (- 1.0 x) y))) (* x z))
88.0ms	(sqrt (* (- 1.0 x) y))
88.0ms	(sqrt (* (- 1.0 x) y))
63.0ms	(* (sqrt (* (- 1.0 x) y)) (sqrt (* (- 1.0 x) y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	288	618
1	1323	524
2	5002	504

prune167.0ms

Filtered

106 candidates to 65 candidates (61.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	106	3	109

Merged error: 0.0b

Counts

109 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (sqrt 1.0) (sqrt x))
0.0b	(+ (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) y)) (* x z))
0.0b	(* (- (sqrt 1.0) (sqrt x)) y)
0.1b	(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
14×	`associate-l` `sqrt-prod`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
8×	`add-log-exp` `difference-of-squares`
7×	`add-cube-cbrt`
5×	`flip3--` `flip--`
4×	`frac-times` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out--`
2×	`associate-r/` `-commutative` `distribute-lft-out`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

5.0ms	(- (sqrt 1.0) (sqrt x))
14.0ms	(+ (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) y)) (* x z))
8.0ms	(* (- (sqrt 1.0) (sqrt x)) y)
14.0ms	(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) y))

series580.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (sqrt 1.0) (sqrt x))
110.0ms	(+ (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) y)) (* x z))
87.0ms	(* (- (sqrt 1.0) (sqrt x)) y)
342.0ms	(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) y))

simplify80.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	539	911
1	2387	716
2	5002	695

prune187.0ms

Filtered

95 candidates to 68 candidates (71.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Merged error: 0.0b

Counts

98 → 3

regimes68.0ms

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	11	4
1	11	4

end0.0ms

sample485.0ms

Algorithm

intervals

Results

277.0ms

10098×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4