Details

sample17.0ms

Algorithm

intervals

Results

4.0ms	218×	body	80	valid
2.0ms	33×	body	640	valid
1.0ms	11×	body	1280	valid
1.0ms	17×	body	320	valid
0.0ms	14×	body	160	valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	27	4
2	78	4
3	245	4
4	634	4
5	1081	4
6	2442	4
7	4046	4
8	5001	4

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 17.6b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
3.9b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

9.0ms	(* (- 1.0 x) (- 1.0 y))
11.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series52.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (- 1.0 x) (- 1.0 y))
25.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	270	324
1	1132	308
2	5002	308

prune77.0ms

Filtered

58 candidates to 39 candidates (32.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Merged error: 0b

Counts

59 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

14.0ms

(- (+ (* x y) 1.0) (* 1.0 y))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(- (+ (* x y) 1.0) (* 1.0 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	107	161
1	325	142
2	1364	139
3	5001	139

prune31.0ms

Filtered

26 candidates to 15 candidates (42.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	27	1	28

Merged error: 0b

Counts

28 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x 1.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

6.0ms

(* y (- x 1.0))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* y (- x 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	110	98
1	460	88
2	1876	88
3	5001	88

prune32.0ms

Filtered

29 candidates to 17 candidates (41.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	1	30

Merged error: 0b

Counts

30 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample421.0ms

Algorithm

intervals

Results

137.0ms	6911×	body	80	valid
58.0ms	807×	body	640	valid
35.0ms	410×	body	1280	valid
35.0ms	613×	body	320	valid
12.0ms	333×	body	160	valid