Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

345×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	74	3
3	112	3
4	123	3
5	127	3
6	127	3

prune1.0ms

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: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
15×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`unswap-sqr`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-r/` `-commutative`
1×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 59

Calls

1 calls:

11.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify47.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	326	496
1	1518	343
2	5002	331

prune62.0ms

Filtered

62 candidates to 30 candidates (48.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	55	7	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	8	63

Merged error: 0.0b

Counts

63 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x y)) (cbrt (* x y)))
10.1b	(cbrt (* x y))
10.1b	(cbrt (* x y))
10.1b	(cbrt (* x y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

100×	`cbrt-prod`
67×	`add-sqr-sqrt`
38×	`associate-l`
36×	`associate-r`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
22×	`unswap-sqr`
17×	`swap-sqr`
11×	`pow1`
9×	`pow1/3`
8×	`*-commutative` `add-cbrt-cube`
6×	`add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 145

Calls

4 calls:

13.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
3.0ms	(cbrt (* x y))
3.0ms	(cbrt (* x y))
4.0ms	(cbrt (* x y))

series299.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
71.0ms	(cbrt (* x y))
70.0ms	(cbrt (* x y))
70.0ms	(cbrt (* x y))

simplify80.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	277	963
1	987	905
2	3701	821
3	5001	790

prune268.0ms

Filtered

157 candidates to 113 candidates (72.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	156	9	165

Merged error: 0.0b

Counts

165 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
6.4b	(cbrt (* x (* (cbrt y) (cbrt y))))
10.1b	(cbrt (* x y))
10.1b	(cbrt (* x y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

93×	`cbrt-prod`
56×	`add-sqr-sqrt`
39×	`associate-r`
22×	`add-cube-cbrt` `*-un-lft-identity`
19×	`unswap-sqr`
15×	`associate-l`
8×	`swap-sqr`
5×	`*-commutative`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 111

Calls

4 calls:

1.0ms	(cbrt y)
19.0ms	(cbrt (* x (* (cbrt y) (cbrt y))))
4.0ms	(cbrt (* x y))
4.0ms	(cbrt (* x y))

series528.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt y)
206.0ms	(cbrt (* x (* (cbrt y) (cbrt y))))
75.0ms	(cbrt (* x y))
68.0ms	(cbrt (* x y))

simplify40.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	337	802
1	1041	778
2	5001	738

prune318.0ms

Filtered

123 candidates to 91 candidates (74.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	123	9	132

Merged error: 0.0b

Counts

132 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
4.3b	(* (* x 1) (* y (- 1.0 y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
53×	`*-un-lft-identity`
46×	`add-cube-cbrt`
27×	`associate-r`
22×	`associate-l`
21×	`add-exp-log`
17×	`unswap-sqr`
16×	`pow1` `add-cbrt-cube`
14×	`prod-exp`
9×	`pow-prod-down` `cbrt-unprod`
6×	`sub-neg` `associate-*r/`
4×	`*-commutative`
2×	`expm1-log1p-u` `flip3--` `1-exp` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

2 → 149

Calls

2 calls:

7.0ms	(* y (- 1.0 y))
18.0ms	(* (* x 1) (* y (- 1.0 y)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* y (- 1.0 y))
49.0ms	(* (* x 1) (* y (- 1.0 y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	689	1308
1	2620	851
2	5002	842

prune107.0ms

Filtered

155 candidates to 59 candidates (38.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	151	4	155
Fresh	3	2	5
Picked	1	0	1
Done	0	3	3
Total	155	9	164

Merged error: 0b

Counts

164 → 9

regimes88.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample346.0ms

Algorithm

intervals

Results

189.0ms

10655×

body

valid