Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

345×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	2
1	9	2
2	9	2

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: 0.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x y) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-l`
12×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unswap-sqr`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative`
1×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

7.0ms

(* (* x y) y)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* (* x y) y)

simplify60.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	129	122
1	510	101
2	2379	101
3	5002	98

prune50.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	27	9	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	10	37

Merged error: 0.0b

Counts

37 → 10

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

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`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series736.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt y) (cbrt y))
172.0ms	(cbrt y)
179.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify87.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3251	261
3	5002	258

prune172.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	94	12	106

Merged error: 0.0b

Counts

106 → 12

localize7.0ms

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))

rewrite34.0ms

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:

15.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
3.0ms	(cbrt (* x y))
3.0ms	(cbrt (* x y))
4.0ms	(cbrt (* x y))

series312.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
72.0ms	(cbrt (* x y))
66.0ms	(cbrt (* x y))
80.0ms	(cbrt (* x y))

simplify89.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 3 (72.0ms)

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

prune267.0ms

Filtered

157 candidates to 113 candidates (72.0%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	152	5	157
Fresh	5	4	9
Picked	0	1	1
Done	0	2	2
Total	157	12	169

Merged error: 0.0b

Counts

169 → 12

localize16.0ms

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))

rewrite26.0ms

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)
14.0ms	(cbrt (* x (* (cbrt y) (cbrt y))))
3.0ms	(cbrt (* x y))
4.0ms	(cbrt (* x y))

series521.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt y)
197.0ms	(cbrt (* x (* (cbrt y) (cbrt y))))
71.0ms	(cbrt (* x y))
70.0ms	(cbrt (* x y))

simplify43.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	337	802
1	1047	778
2	5002	738

prune295.0ms

Filtered

123 candidates to 91 candidates (74.0%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	1	7	8
Picked	0	1	1
Done	1	2	3
Total	123	12	135

Merged error: 0.0b

Counts

135 → 12

regimes137.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample360.0ms

Algorithm

intervals

Results

180.0ms

10655×

body

valid