Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4768	9
1	4768	9

prune7.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 42

Calls

2 calls:

3.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
6.0ms	(* 0.12900613773279798 (pow x 3))

series17.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
4.0ms	(* 0.12900613773279798 (pow x 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4894	393
1	4894	393

prune70.0ms

Filtered

31 candidates to 48 candidates (-54.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Merged error: 0.0b

Counts

50 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* 0.12900613773279798 (* (* x x) x))
0.1b	(* (* x x) x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

4.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
8.0ms	(* 0.12900613773279798 (* (* x x) x))
6.0ms	(* (* x x) x)

series16.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
4.0ms	(* 0.12900613773279798 (* (* x x) x))
4.0ms	(* (* x x) x)

simplify35.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5003	413

prune62.0ms

Filtered

36 candidates to 69 candidates (-91.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	70	4	74

Merged error: 0.0b

Counts

74 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3))))
0.1b	(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
0.1b	(* 0.12900613773279798 (* x x))
30.0b	(cbrt (pow x 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
18×	`pow1` `add-exp-log`
16×	`associate-r`
15×	`add-cbrt-cube`
13×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
4×	`associate-l`
2×	`cube-mult` `unpow3` `*-commutative` `sqr-pow`
1×	`sub-neg` `flip3--` `pow1/3` `diff-log` `flip--` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

4.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3))))
10.0ms	(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
5.0ms	(* 0.12900613773279798 (* x x))
2.0ms	(cbrt (pow x 3))

series23.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3))))
6.0ms	(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
3.0ms	(* 0.12900613773279798 (* x x))
3.0ms	(cbrt (pow x 3))

simplify36.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5298	629

prune102.0ms

Filtered

58 candidates to 96 candidates (-65.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	95	5	100

Merged error: 0b

Counts

100 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

22.4b	(cbrt (* x (* x 0.12900613773279798)))
22.4b	(cbrt (* x (* x 0.12900613773279798)))
22.4b	(cbrt (* x (* x 0.12900613773279798)))
30.0b	(cbrt (pow x 3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `cube-prod`
1×	`cube-mult` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 48

Calls

4 calls:

4.0ms	(cbrt (* x (* x 0.12900613773279798)))
4.0ms	(cbrt (* x (* x 0.12900613773279798)))
4.0ms	(cbrt (* x (* x 0.12900613773279798)))
2.0ms	(cbrt (pow x 3))

series84.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (* x (* x 0.12900613773279798)))
26.0ms	(cbrt (* x (* x 0.12900613773279798)))
27.0ms	(cbrt (* x (* x 0.12900613773279798)))
4.0ms	(cbrt (pow x 3))

simplify61.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4817	316
1	4817	316

prune101.0ms

Filtered

40 candidates to 60 candidates (-50.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	60	5	65

Merged error: 0b

Counts

65 → 5

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms

sample303.0ms

Algorithm

intervals

Results

222.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms

sample12.0ms

simplify109.0ms

prune7.0ms

localize6.0ms

rewrite11.0ms

series17.0ms

simplify48.0ms

prune70.0ms

localize6.0ms

rewrite19.0ms

series16.0ms

simplify35.0ms

prune62.0ms

localize9.0ms

rewrite24.0ms

series23.0ms

simplify36.0ms

prune102.0ms

localize13.0ms

rewrite14.0ms

series84.0ms

simplify61.0ms

prune101.0ms

regimes70.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample303.0ms

Profiling