Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

354×

body

valid

simplify6.0ms

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: 0.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 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)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* (* x 3.0) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (53.0ms)

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

prune25.0ms

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: 0.1b

Counts

24 → 5

localize5.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
18.6b	(sqrt (* (* x 3.0) x))
18.6b	(sqrt (* (* x 3.0) x))

rewrite31.0ms

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))

series162.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x 3.0) x)
68.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
32.0ms	(sqrt (* (* x 3.0) x))
32.0ms	(sqrt (* (* x 3.0) x))

simplify44.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	183	414
1	1002	335
2	5002	324

prune158.0ms

Filtered

128 candidates to 58 candidates (45.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	122	6	128
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	124	9	133

Merged error: 0.0b

Counts

133 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

18.6b	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
19.3b	(cbrt (* (* x 3.0) x))
19.3b	(cbrt (* (* x 3.0) x))
19.3b	(cbrt (* (* x 3.0) x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
15×	`sqrt-pow1`
12×	`pow1/3`
9×	`pow-prod-up`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 59

Calls

4 calls:

9.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
4.0ms	(cbrt (* (* x 3.0) x))
6.0ms	(cbrt (* (* x 3.0) x))
7.0ms	(cbrt (* (* x 3.0) x))

series751.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
215.0ms	(cbrt (* (* x 3.0) x))
211.0ms	(cbrt (* (* x 3.0) x))
216.0ms	(cbrt (* (* x 3.0) x))

simplify88.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	92	346
1	233	314
2	1293	308
3	5001	308

prune140.0ms

Filtered

71 candidates to 48 candidates (67.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	71	9	80

Merged error: 0.0b

Counts

80 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (* (* x 3.0) x)) (pow (cbrt (* (* x 3.0) x)) 3/2))
0.4b	(pow (cbrt (* (* x 3.0) x)) 3/2)
18.6b	(sqrt (* (* x 3.0) x))
19.3b	(cbrt (* (* x 3.0) x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`pow1`
10×	`add-exp-log`
9×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
8×	`associate-r`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `sqrt-pow1` `pow-prod-down` `prod-exp` `unswap-sqr` `sqr-pow`
2×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sqrt-prod`
1×	`pow1/2` `*-commutative` `cbrt-unprod`

Counts

4 → 75

Calls

4 calls:

13.0ms	(* (sqrt (* (* x 3.0) x)) (pow (cbrt (* (* x 3.0) x)) 3/2))
3.0ms	(pow (cbrt (* (* x 3.0) x)) 3/2)
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(cbrt (* (* x 3.0) x))

series745.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (sqrt (* (* x 3.0) x)) (pow (cbrt (* (* x 3.0) x)) 3/2))
358.0ms	(pow (cbrt (* (* x 3.0) x)) 3/2)
37.0ms	(sqrt (* (* x 3.0) x))
206.0ms	(cbrt (* (* x 3.0) x))

simplify152.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (145.0ms)

Iter	Nodes	Cost
0	188	569
1	675	529
2	3734	529
3	5001	512

prune155.0ms

Filtered

87 candidates to 62 candidates (71.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	86	10	96

Merged error: 0.0b

Counts

96 → 10

regimes54.0ms

Accuracy

0% (0.2b 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

sample243.0ms

Algorithm

intervals

Results

133.0ms

10586×

body

valid