Details

analyze253.0ms

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
32.8%	67.1%	0.1%	9
43.7%	43.7%	12.6%	10
46.8%	40.6%	12.6%	11
52.7%	34.7%	12.6%	12
58.5%	22.6%	18.9%	13
60.5%	20.7%	18.9%	14

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune8.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (* y z) z))
0.2b	(* (* y z) z)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

3.0ms	(+ x (* (* y z) z))
5.0ms	(* (* y z) z)

series22.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ x (* (* y z) z))
7.0ms	(* (* y z) z)

simplify65.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4869	256
1	4869	256

prune37.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (* z z)))
9.3b	(* y (* z z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

3.0ms	(+ x (* y (* z z)))
5.0ms	(* y (* z z))

series22.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ x (* y (* z z)))
7.0ms	(* y (* z z))

simplify25.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4995	264
1	4995	264

prune38.0ms

Filtered

21 candidates to 36 candidates (-71.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(* (cbrt y) (cbrt y))
6.3b	(* (* (cbrt y) (cbrt y)) (* z (* z (cbrt y))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
27×	`add-exp-log`
22×	`cbrt-prod` `add-sqr-sqrt`
17×	`pow-prod-down` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
14×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1/3`
7×	`associate-r` `associate-l`
6×	`swap-sqr`
4×	`add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 90

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
5.0ms	(* (cbrt y) (cbrt y))
13.0ms	(* (* (cbrt y) (cbrt y)) (* z (* z (cbrt y))))

series81.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt y)
21.0ms	(cbrt y)
25.0ms	(* (cbrt y) (cbrt y))
11.0ms	(* (* (cbrt y) (cbrt y)) (* z (* z (cbrt y))))

simplify65.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4905	492
1	4905	492

prune81.0ms

Filtered

56 candidates to 102 candidates (-82.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	102	6	108

Merged error: 0.0b

Counts

108 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (* (cbrt y) z) 2)
0.5b	(cbrt y)
0.5b	(cbrt y)
2.4b	(* (cbrt y) (pow (* (cbrt y) z) 2))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-exp-log`
12×	`cbrt-prod`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`associate-r` `associate-l` `prod-exp` `unswap-sqr`
5×	`add-cbrt-cube`
4×	`pow-exp` `unpow2` `add-log-exp` `sqr-pow`
3×	`pow-unpow`
2×	`pow-to-exp` `unpow-prod-down` `pow-pow` `pow1/3`
1×	`pow-prod-down` `*-commutative` `cbrt-unprod`

Counts

4 → 71

Calls

4 calls:

4.0ms	(pow (* (cbrt y) z) 2)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(* (cbrt y) (pow (* (cbrt y) z) 2))

series83.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(pow (* (cbrt y) z) 2)
21.0ms	(cbrt y)
23.0ms	(cbrt y)
10.0ms	(* (cbrt y) (pow (* (cbrt y) z) 2))

simplify40.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5017	513

prune71.0ms

Filtered

54 candidates to 83 candidates (-53.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

regimes257.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms

sample372.0ms

Algorithm

intervals

Results

192.0ms	8000×	body	80	valid
15.0ms	667×	body	80	invalid

Details

analyze253.0ms

sample14.0ms

simplify3.0ms

prune8.0ms

localize5.0ms

rewrite8.0ms

series22.0ms

simplify65.0ms

prune37.0ms

localize5.0ms

rewrite9.0ms

series22.0ms

simplify25.0ms

prune38.0ms

localize9.0ms

rewrite23.0ms

series81.0ms

simplify65.0ms

prune81.0ms

localize8.0ms

rewrite14.0ms

series83.0ms

simplify40.0ms

prune71.0ms

regimes257.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample372.0ms

Profiling