Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

354×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	10	2

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: 0.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite6.0ms

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×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (* x 3.0) x)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* (* x 3.0) x)

simplify64.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	94	72
1	433	57
2	2295	57
3	5001	56

prune27.0ms

Filtered

21 candidates to 10 candidates (47.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Merged error: 0.1b

Counts

22 → 5

localize6.0ms

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))

rewrite36.0ms

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×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

5.0ms	(* (* x 3.0) x)
13.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series195.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* x 3.0) x)
82.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
39.0ms	(sqrt (* (* x 3.0) x))
38.0ms	(sqrt (* (* x 3.0) x))

simplify50.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	177	368
1	939	307
2	5001	296

prune133.0ms

Filtered

120 candidates to 50 candidates (41.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	6	120
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	116	9	125

Merged error: 0.0b

Counts

125 → 9

localize16.0ms

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))

rewrite25.0ms

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` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 51

Calls

4 calls:

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

series881.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
247.0ms	(cbrt (* (* x 3.0) x))
238.0ms	(cbrt (* (* x 3.0) x))
261.0ms	(cbrt (* (* x 3.0) x))

simplify99.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	85	310
1	210	264
2	1185	258
3	5001	258

prune141.0ms

Filtered

63 candidates to 40 candidates (63.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	63	9	72

Merged error: 0.0b

Counts

72 → 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))

rewrite24.0ms

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×	`associate-l` `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 → 67

Calls

4 calls:

11.0ms	(* (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))

series1.1s

Counts

4 → 12

Calls

4 calls:

343.0ms	(* (sqrt (* (* x 3.0) x)) (pow (cbrt (* (* x 3.0) x)) 3/2))
428.0ms	(pow (cbrt (* (* x 3.0) x)) 3/2)
37.0ms	(sqrt (* (* x 3.0) x))
249.0ms	(cbrt (* (* x 3.0) x))

simplify156.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 3 (149.0ms)

Iter	Nodes	Cost
0	180	525
1	665	485
2	3718	485
3	5003	468

prune138.0ms

Filtered

79 candidates to 54 candidates (68.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	78	10	88

Merged error: 0.0b

Counts

88 → 10

regimes57.0ms

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

sample246.0ms

Algorithm

intervals

Results

139.0ms

10586×

body

valid