Details

analyze274.0ms

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	16×	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

prune10.0ms

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)

rewrite11.0ms

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))
7.0ms	(* (* y z) z)

series32.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ x (* (* y z) z))
13.0ms	(* (* y z) z)

simplify68.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4869	256
1	4869	256

prune38.0ms

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)))
10.0b	(* 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)))
6.0ms	(* y (* z z))

simplify24.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4995	264
1	4995	264

prune36.0ms

Filtered

20 candidates to 36 candidates (-80.0%)

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:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
6.9b	(* (* (cbrt y) (cbrt y)) (* z (* z (cbrt y))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

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

series75.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
23.0ms	(cbrt y)
11.0ms	(* (* (cbrt y) (cbrt y)) (* z (* z (cbrt y))))

simplify42.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5197	334

prune54.0ms

Filtered

40 candidates to 73 candidates (-82.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	73	6	79

Merged error: 0.0b

Counts

79 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

10.0b	(* y (* z z))
19.1b	(cbrt (* y (* z z)))
19.1b	(cbrt (* y (* z z)))
19.1b	(cbrt (* y (* z z)))

rewrite18.0ms

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))
4.0ms	(cbrt (* y (* z z)))
4.0ms	(cbrt (* y (* z z)))
4.0ms	(cbrt (* y (* z z)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* y (* z z))
22.0ms	(cbrt (* y (* z z)))
20.0ms	(cbrt (* y (* z z)))
21.0ms	(cbrt (* y (* z z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (43.0ms)

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

regimes266.0ms

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

sample391.0ms

Algorithm

intervals

Results

200.0ms	8000×	body	80	valid
18.0ms	662×	body	80	invalid

Details

analyze274.0ms

sample15.0ms

simplify2.0ms

prune10.0ms

localize5.0ms

rewrite11.0ms

series32.0ms

simplify68.0ms

prune38.0ms

localize5.0ms

rewrite9.0ms

series22.0ms

simplify24.0ms

prune36.0ms

localize9.0ms

rewrite18.0ms

series75.0ms

simplify42.0ms

prune54.0ms

localize9.0ms

rewrite18.0ms

series70.0ms

simplify48.0ms

prune60.0ms

regimes266.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample391.0ms

Profiling