Details

sample24.0ms

Algorithm

intervals

Results

13.0ms

513×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

2.0ms	(exp (* y y))
5.0ms	(* x (exp (* y y)))

series40.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(exp (* y y))
27.0ms	(* x (exp (* y y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (4.0ms)

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

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	3	35

Merged error: 0.0b

Counts

35 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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))

series83.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(pow (exp y) y)
48.0ms	(* x (pow (exp y) y))

simplify135.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (131.0ms)

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

prune72.0ms

Filtered

51 candidates to 32 candidates (62.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	51	3	54

Merged error: 0b

Counts

54 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
24×	`prod-exp`
22×	`add-sqr-sqrt`
17×	`associate-r`
16×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow-to-exp` `pow-exp` `sqrt-prod`
8×	`sqrt-pow1`
7×	`pow1`
6×	`exp-prod` `pow-pow`
4×	`associate-l` `cbrt-unprod` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `unswap-sqr`
2×	`pow1/2` `*-commutative`
1×	`rem-sqrt-square` `sqrt-pow2`

Counts

4 → 100

Calls

4 calls:

4.0ms	(pow (sqrt (exp y)) y)
2.0ms	(sqrt (exp y))
9.0ms	(* (* x (pow (exp y) (/ y 2))) (pow (sqrt (exp y)) y))
6.0ms	(* x (pow (exp y) (/ y 2)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(pow (sqrt (exp y)) y)
17.0ms	(sqrt (exp y))
123.0ms	(* (* x (pow (exp y) (/ y 2))) (pow (sqrt (exp y)) y))
58.0ms	(* x (pow (exp y) (/ y 2)))

simplify53.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	327	707
1	1506	624
2	5001	528

prune193.0ms

Filtered

112 candidates to 70 candidates (62.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	112	3	115

Merged error: 0b

Counts

115 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (pow (exp y) y))) (cbrt (* x (pow (exp y) y))))
0.6b	(cbrt (* x (pow (exp y) y)))
0.6b	(cbrt (* x (pow (exp y) y)))
0.6b	(cbrt (* x (pow (exp y) y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* x (pow (exp y) y))) (cbrt (* x (pow (exp y) y))))
3.0ms	(cbrt (* x (pow (exp y) y)))
3.0ms	(cbrt (* x (pow (exp y) y)))
4.0ms	(cbrt (* x (pow (exp y) y)))

series742.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (* x (pow (exp y) y))) (cbrt (* x (pow (exp y) y))))
320.0ms	(cbrt (* x (pow (exp y) y)))
125.0ms	(cbrt (* x (pow (exp y) y)))
129.0ms	(cbrt (* x (pow (exp y) y)))

simplify125.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	178	507
1	701	438
2	3649	395
3	5001	377

prune144.0ms

Filtered

70 candidates to 52 candidates (74.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	70	3	73

Merged error: 0b

Counts

73 → 3

regimes30.0ms

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

sample715.0ms

Algorithm

intervals

Results

438.0ms

16067×

body

valid

Details

sample24.0ms

simplify65.0ms

prune2.0ms

localize5.0ms

rewrite7.0ms

series40.0ms

simplify43.0ms

prune54.0ms

localize6.0ms

rewrite10.0ms

series83.0ms

simplify135.0ms

prune72.0ms

localize11.0ms

rewrite24.0ms

series234.0ms

simplify53.0ms

prune193.0ms

localize10.0ms

rewrite17.0ms

series742.0ms

simplify125.0ms

prune144.0ms

regimes30.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample715.0ms

Profiling