Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

491×

body

valid

simplify84.0ms

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	5001	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	(* x (exp (* y y)))
0.0b	(exp (* y y))

rewrite8.0ms

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`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`exp-prod` `exp-to-pow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

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

series48.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (exp (* y y)))
12.0ms	(exp (* y y))

simplify62.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	94	143
1	335	124
2	1315	124
3	5001	124

prune81.0ms

Filtered

38 candidates to 29 candidates (76.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	2	39

Merged error: 0.0b

Counts

39 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `log1p-expm1-u` `add-log-exp`
1×	`*-commutative` `cbrt-unprod`

Counts

2 → 49

Calls

2 calls:

4.0ms	(pow (exp y) y)
7.0ms	(* x (pow (exp y) y))

series103.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(pow (exp y) y)
62.0ms	(* x (pow (exp y) y))

simplify123.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	153	218
1	606	198
2	3014	198
3	5002	197

prune91.0ms

Filtered

55 candidates to 36 candidates (65.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Merged error: 0.0b

Counts

57 → 3

localize12.0ms

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)))

rewrite26.0ms

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×	`expm1-log1p-u` `pow-pow` `associate-l` `cbrt-unprod` `log1p-expm1-u` `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 → 98

Calls

4 calls:

4.0ms	(pow (exp y) y)
3.0ms	(sqrt (pow (exp y) y))
6.0ms	(* x (pow (exp y) (/ y 2)))
10.0ms	(* (* x (pow (exp y) (/ y 2))) (sqrt (pow (exp y) y)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(pow (exp y) y)
52.0ms	(sqrt (pow (exp y) y))
62.0ms	(* x (pow (exp y) (/ y 2)))
138.0ms	(* (* x (pow (exp y) (/ y 2))) (sqrt (pow (exp y) y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	305	649
1	1396	584
2	5001	562

prune256.0ms

Filtered

110 candidates to 78 candidates (70.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	110	3	113

Merged error: 0b

Counts

113 → 3

localize16.0ms

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)

rewrite13.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

7.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series815.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(* (cbrt x) (cbrt x))
194.0ms	(cbrt x)
199.0ms	(cbrt x)
202.0ms	(cbrt x)

simplify112.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune303.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes68.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0ms

sample667.0ms

Algorithm

intervals

Results

402.0ms

16046×

body

valid