Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

335×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	10	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: 0.1b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x 3.0) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

5.0ms

(* (* x 3.0) x)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* (* x 3.0) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	96	78
1	435	63
2	2298	63
3	5001	62

prune29.0ms

Filtered

23 candidates to 12 candidates (52.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	19	4	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	5	24

Merged error: 0.0b

Counts

24 → 5

localize5.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
19.2b	(sqrt (* (* x 3.0) x))
19.2b	(sqrt (* (* x 3.0) x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

5.0ms	(* (* x 3.0) x)
11.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series166.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 3.0) x)
70.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
33.0ms	(sqrt (* (* x 3.0) x))
38.0ms	(sqrt (* (* x 3.0) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	183	396
1	948	335
2	5001	324

prune131.0ms

Filtered

128 candidates to 58 candidates (45.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	122	6	128
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	123	10	133

Merged error: 0b

Counts

133 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
19.2b	(sqrt (* (* x 3.0) x))
19.2b	(sqrt (* (* x 3.0) x))
19.2b	(sqrt (* (* x 3.0) x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

157×	`pow1`
149×	`sqrt-pow1`
82×	`pow-prod-down`
29×	`sqrt-prod`
24×	`add-sqr-sqrt`
23×	`pow1/2`
21×	`pow-prod-up`
13×	`pow-sqr`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`swap-sqr`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 132

Calls

4 calls:

15.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series143.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
33.0ms	(sqrt (* (* x 3.0) x))
38.0ms	(sqrt (* (* x 3.0) x))
33.0ms	(sqrt (* (* x 3.0) x))

simplify165.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 3 (156.0ms)

Iter	Nodes	Cost
0	139	515
1	555	476
2	3421	452
3	5001	431

prune166.0ms

Filtered

144 candidates to 65 candidates (45.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	144	10	154

Merged error: 0b

Counts

154 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
0.6b	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
19.2b	(sqrt (* (* x 3.0) x))
19.2b	(sqrt (* (* x 3.0) x))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`sqrt-prod`
25×	`pow1`
20×	`associate-l`
18×	`unpow-prod-down` `cube-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
14×	`sqrt-pow1`
12×	`unswap-sqr`
10×	`add-exp-log`
9×	`pow-prod-down`
7×	`pow-pow` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `pow1/2` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 123

Calls

4 calls:

28.0ms	(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
11.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
6.0ms	(sqrt (* (* x 3.0) x))
7.0ms	(sqrt (* (* x 3.0) x))

series465.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
242.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
60.0ms	(sqrt (* (* x 3.0) x))
52.0ms	(sqrt (* (* x 3.0) x))

simplify63.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	335	976
1	1589	792
2	5002	698

prune184.0ms

Filtered

135 candidates to 72 candidates (53.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	135	10	145

Merged error: 0b

Counts

145 → 10

regimes53.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample261.0ms

Algorithm

intervals

Results

144.0ms

10636×

body

valid