Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	12	2
3	13	2
4	13	2

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x y) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity` `add-log-exp`
3×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

6.0ms

(+ (+ x y) x)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(+ (+ x y) x)

simplify99.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	82	65
1	241	60
2	854	58
3	4535	53
4	5002	53

prune20.0ms

Filtered

18 candidates to 10 candidates (55.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
0.5b	(cbrt (+ (+ x y) x))
0.5b	(cbrt (+ (+ x y) x))
0.5b	(cbrt (+ (+ x y) x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

15.0ms	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
5.0ms	(cbrt (+ (+ x y) x))
5.0ms	(cbrt (+ (+ x y) x))
5.0ms	(cbrt (+ (+ x y) x))

series865.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
204.0ms	(cbrt (+ (+ x y) x))
208.0ms	(cbrt (+ (+ x y) x))
205.0ms	(cbrt (+ (+ x y) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	280	982
1	1048	931
2	5001	832

prune210.0ms

Filtered

117 candidates to 75 candidates (64.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	115	5	120

Merged error: 0b

Counts

120 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ x y) x))
0.5b	(cbrt (+ (+ x y) x))
0.5b	(cbrt (+ (+ x y) x))
0.5b	(cbrt (+ (+ x y) x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
20×	`cbrt-prod`
12×	`distribute-lft-out`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

5.0ms	(cbrt (+ (+ x y) x))
5.0ms	(cbrt (+ (+ x y) x))
5.0ms	(cbrt (+ (+ x y) x))
5.0ms	(cbrt (+ (+ x y) x))

series834.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (+ (+ x y) x))
207.0ms	(cbrt (+ (+ x y) x))
206.0ms	(cbrt (+ (+ x y) x))
209.0ms	(cbrt (+ (+ x y) x))

simplify48.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	148	492
1	405	464
2	1567	452
3	5001	436

prune403.0ms

Filtered

72 candidates to 60 candidates (83.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	72	5	77

Merged error: 0b

Counts

77 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x y) x)
0.0b	(pow (+ (+ x y) x) 3)
39.3b	(cbrt (pow (+ (+ x y) x) 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
16×	`cbrt-prod`
15×	`distribute-lft-out`
10×	`unpow-prod-down` `cube-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `sum-log` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+l+` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 71

Calls

3 calls:

6.0ms	(+ (+ x y) x)
6.0ms	(pow (+ (+ x y) x) 3)
6.0ms	(cbrt (pow (+ (+ x y) x) 3))

series97.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (+ x y) x)
37.0ms	(pow (+ (+ x y) x) 3)
39.0ms	(cbrt (pow (+ (+ x y) x) 3))

simplify40.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	246	366
1	1055	352
2	5001	342

prune95.0ms

Filtered

80 candidates to 39 candidates (48.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	0	1
Picked	1	0	1
Done	3	0	3
Total	84	1	85

Merged error: 0b

Counts

85 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	30	7
2	35	7
3	35	7

end0.0ms

sample251.0ms

Algorithm

intervals

Results

128.0ms

8001×

body

valid