Details

analyze233.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
31.2%	68.6%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
54.6%	41.3%	4%	10
59.3%	36.7%	4%	11
61.6%	32.6%	5.8%	12
68.3%	22.7%	9%	13
71%	20%	9%	14

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
1.0ms	27×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

prune8.0ms

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 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

3.7b	(* x (/ y z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

6.0ms

(* x (/ y z))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* x (/ y z))

simplify61.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5355	230

prune74.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	26	9	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	26	11	37

Merged error: 0.0b

Counts

37 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
1.1b	(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`pow1` `cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down`
2×	`cbrt-undiv` `associate-*r/` `div-exp`
1×	`associate-r` `*-commutative`

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
13.0ms	(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

series91.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt y)
21.0ms	(cbrt y)
22.0ms	(cbrt y)
25.0ms	(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

simplify28.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5124	437

prune115.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	66	13	79

Merged error: 0.0b

Counts

79 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
1.1b	(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`pow1` `cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down`
2×	`cbrt-undiv` `associate-*r/` `div-exp`
1×	`associate-r` `*-commutative`

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
10.0ms	(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

series91.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
23.0ms	(cbrt y)
26.0ms	(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

simplify28.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5124	437

prune113.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	68	13	81

Merged error: 0.0b

Counts

81 → 13

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.0b	(* y (/ (cbrt x) z))
2.0b	(* (* (cbrt x) (cbrt x)) (* y (/ (cbrt x) z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log`
28×	`add-sqr-sqrt`
23×	`associate-r`
21×	`add-cbrt-cube`
20×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
18×	`pow1`
16×	`cbrt-prod`
15×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
4×	`associate-l` `add-log-exp`
3×	`cbrt-undiv` `associate-*r/` `div-exp` `unswap-sqr`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 91

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
8.0ms	(* y (/ (cbrt x) z))
10.0ms	(* (* (cbrt x) (cbrt x)) (* y (/ (cbrt x) z)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
21.0ms	(cbrt x)
20.0ms	(* y (/ (cbrt x) z))
10.0ms	(* (* (cbrt x) (cbrt x)) (* y (/ (cbrt x) z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5231	635

prune121.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	5	4	9
Picked	0	1	1
Done	1	2	3
Total	107	9	116

Merged error: 0.0b

Counts

116 → 9

regimes264.0ms

Accuracy

30% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	52
1	34	52

end0.0ms

sample352.0ms

Algorithm

intervals

Results

168.0ms	8000×	body	80	valid
18.0ms	734×	body	80	invalid

Details

analyze233.0ms

sample14.0ms

simplify5.0ms

prune8.0ms

localize4.0ms

rewrite7.0ms

series5.0ms

simplify61.0ms

prune74.0ms

localize12.0ms

rewrite18.0ms

series91.0ms

simplify28.0ms

prune115.0ms

localize17.0ms

rewrite15.0ms

series91.0ms

simplify28.0ms

prune113.0ms

localize8.0ms

rewrite23.0ms

series72.0ms

simplify44.0ms

prune121.0ms

regimes264.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample352.0ms

Profiling