Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

491×

body

valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	21	3
3	48	3
4	133	3
5	437	3
6	1926	3
7	5002	3

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

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (exp (* y y)))
0.0b	(exp (* y y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-r` `associate-l`
1×	`exp-prod` `exp-to-pow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

2 → 28

Calls

2 calls:

4.0ms	(* x (exp (* y y)))
2.0ms	(exp (* y y))

series41.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* x (exp (* y y)))
10.0ms	(exp (* y y))

simplify46.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	89	130
1	321	114
2	1270	114
3	5001	114

prune54.0ms

Filtered

34 candidates to 25 candidates (73.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	2	35

Merged error: 0.0b

Counts

35 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow (exp y) y)
0.0b	(* x (pow (exp y) y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down` `associate-r`
6×	`add-exp-log`
4×	`pow-pow` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `exp-prod` `associate-l` `prod-exp` `unswap-sqr` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `add-log-exp`
1×	`*-commutative` `cbrt-unprod`

Counts

2 → 45

Calls

2 calls:

3.0ms	(pow (exp y) y)
5.0ms	(* x (pow (exp y) y))

series85.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(pow (exp y) y)
54.0ms	(* x (pow (exp y) y))

simplify100.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	148	205
1	591	190
2	2968	190
3	5001	189

prune70.0ms

Filtered

51 candidates to 32 candidates (62.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Merged error: 0.0b

Counts

53 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp y) y)
0.0b	(sqrt (pow (exp y) y))
0.0b	(* x (pow (exp y) (/ y 2)))
0.0b	(* (* x (pow (exp y) (/ y 2))) (sqrt (pow (exp y) y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
17×	`add-exp-log` `associate-r`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`unpow-prod-down` `sqrt-prod`
11×	`add-cbrt-cube`
10×	`prod-exp`
7×	`pow1`
6×	`sqr-pow`
4×	`pow-pow` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `rem-sqrt-square` `pow-unpow` `exp-prod` `pow-exp` `unswap-sqr`
2×	`*-commutative`
1×	`sqrt-pow1` `pow1/2` `pow-prod-down`

Counts

4 → 90

Calls

4 calls:

3.0ms	(pow (exp y) y)
2.0ms	(sqrt (pow (exp y) y))
5.0ms	(* x (pow (exp y) (/ y 2)))
9.0ms	(* (* x (pow (exp y) (/ y 2))) (sqrt (pow (exp y) y)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(pow (exp y) y)
47.0ms	(sqrt (pow (exp y) y))
55.0ms	(* x (pow (exp y) (/ y 2)))
122.0ms	(* (* x (pow (exp y) (/ y 2))) (sqrt (pow (exp y) y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	294	610
1	1364	555
2	5002	516

prune224.0ms

Filtered

102 candidates to 70 candidates (68.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	102	3	105

Merged error: 0b

Counts

105 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series736.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt x) (cbrt x))
176.0ms	(cbrt x)
180.0ms	(cbrt x)
174.0ms	(cbrt x)

simplify89.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune223.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Merged error: 0b

Counts

88 → 3

regimes60.0ms

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	3
1	6	3

end0.0ms

sample620.0ms

Algorithm

intervals

Results

376.0ms

16046×

body

valid