Details

analyze267.0ms

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

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	13×	body	80	invalid

simplify2.0ms

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)

series24.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ x (* (* y z) z))
10.0ms	(* (* y z) z)

simplify74.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4869	256
1	4869	256

prune47.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
10.4b	(* y (* z (* (cbrt z) (cbrt z))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
9.0ms	(* y (* z (* (cbrt z) (cbrt z))))

series87.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt z)
23.0ms	(cbrt z)
21.0ms	(cbrt z)
23.0ms	(* y (* z (* (cbrt z) (cbrt z))))

simplify74.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4853	298
1	4853	298

prune68.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (* z z)))
11.0b	(* y (* z z))

rewrite11.0ms

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:

4.0ms	(+ x (* y (* z z)))
5.0ms	(* y (* z z))

series34.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ x (* y (* z z)))
11.0ms	(* y (* z z))

simplify38.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4995	264
1	4995	264

prune64.0ms

Filtered

20 candidates to 36 candidates (-80.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	36	6	42

Merged error: 0.0b

Counts

42 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

11.0b	(* y (* z z))
20.6b	(cbrt (* y (* z z)))
20.6b	(cbrt (* y (* z z)))
20.6b	(cbrt (* y (* z z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 46

Calls

4 calls:

5.0ms	(* y (* z z))
8.0ms	(cbrt (* y (* z z)))
8.0ms	(cbrt (* y (* z z)))
8.0ms	(cbrt (* y (* z z)))

series71.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* y (* z z))
21.0ms	(cbrt (* y (* z z)))
21.0ms	(cbrt (* y (* z z)))
23.0ms	(cbrt (* y (* z z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5105	372

prune60.0ms

Filtered

39 candidates to 58 candidates (-48.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	58	6	64

Merged error: 0.0b

Counts

64 → 6

regimes260.0ms

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

sample380.0ms

Algorithm

intervals

Results

190.0ms	8000×	body	80	valid
14.0ms	641×	body	80	invalid

Details

analyze267.0ms

sample15.0ms

simplify2.0ms

prune8.0ms

localize5.0ms

rewrite8.0ms

series24.0ms

simplify74.0ms

prune47.0ms

localize9.0ms

rewrite14.0ms

series87.0ms

simplify74.0ms

prune68.0ms

localize5.0ms

rewrite11.0ms

series34.0ms

simplify38.0ms

prune64.0ms

localize16.0ms

rewrite30.0ms

series71.0ms

simplify44.0ms

prune60.0ms

regimes260.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample380.0ms

Profiling