Details

analyze1.4s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
2.3%	97.4%	0.3%	14

sample36.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
4.0ms	89×	body	80	invalid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	838	17
1	838	17

prune14.0ms

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: 0.1b

Counts

2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a (* 27.0 b)) (* y (* 9.0 (* z t))))
0.2b	(* a (* 27.0 b))
0.3b	(* 9.0 (* z t))
5.5b	(* y (* 9.0 (* z t)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
3×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 68

Calls

4 calls:

5.0ms	(- (* a (* 27.0 b)) (* y (* 9.0 (* z t))))
4.0ms	(* a (* 27.0 b))
4.0ms	(* 9.0 (* z t))
6.0ms	(* y (* 9.0 (* z t)))

series34.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (* a (* 27.0 b)) (* y (* 9.0 (* z t))))
4.0ms	(* a (* 27.0 b))
5.0ms	(* 9.0 (* z t))
6.0ms	(* y (* 9.0 (* z t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5359	674

prune121.0ms

Filtered

45 candidates to 80 candidates (-77.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	73	7	80
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	74	8	82

Merged error: 0.1b

Counts

82 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 2.0) (- (* a (* 27.0 b)) (* (* y 9.0) (* z t))))
0.0b	(- (* a (* 27.0 b)) (* (* y 9.0) (* z t)))
0.2b	(* a (* 27.0 b))
5.7b	(* (* y 9.0) (* z t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l`
2×	`sub-neg` `diff-log` `associate-r` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+r-` `associate-+r+` `flip3--` `flip3-+` `flip--` `flip-+`

Counts

4 → 65

Calls

4 calls:

7.0ms	(+ (* x 2.0) (- (* a (* 27.0 b)) (* (* y 9.0) (* z t))))
5.0ms	(- (* a (* 27.0 b)) (* (* y 9.0) (* z t)))
5.0ms	(* a (* 27.0 b))
6.0ms	(* (* y 9.0) (* z t))

series66.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* x 2.0) (- (* a (* 27.0 b)) (* (* y 9.0) (* z t))))
18.0ms	(- (* a (* 27.0 b)) (* (* y 9.0) (* z t)))
3.0ms	(* a (* 27.0 b))
9.0ms	(* (* y 9.0) (* z t))

simplify60.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5015	910

prune129.0ms

Filtered

47 candidates to 77 candidates (-63.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	78	7	85

Merged error: 0.1b

Counts

85 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a (* 27.0 b)) (* y (* (* 9.0 z) t)))
0.2b	(* a (* 27.0 b))
0.2b	(* (* 9.0 z) t)
5.5b	(* y (* (* 9.0 z) t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`add-log-exp`
5×	`associate-r`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 68

Calls

4 calls:

5.0ms	(- (* a (* 27.0 b)) (* y (* (* 9.0 z) t)))
4.0ms	(* a (* 27.0 b))
7.0ms	(* (* 9.0 z) t)
6.0ms	(* y (* (* 9.0 z) t))

series31.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (* a (* 27.0 b)) (* y (* (* 9.0 z) t)))
3.0ms	(* a (* 27.0 b))
3.0ms	(* (* 9.0 z) t)
6.0ms	(* y (* (* 9.0 z) t))

simplify42.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5208	677

prune100.0ms

Filtered

46 candidates to 80 candidates (-73.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	80	7	87

Merged error: 0.1b

Counts

87 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a (* 27.0 b)) (* (* y (* 9.0 z)) t))
0.2b	(* a (* 27.0 b))
0.2b	(* y (* 9.0 z))
7.0b	(* (* y (* 9.0 z)) t)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`add-log-exp`
5×	`associate-r`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 68

Calls

4 calls:

5.0ms	(- (* a (* 27.0 b)) (* (* y (* 9.0 z)) t))
4.0ms	(* a (* 27.0 b))
4.0ms	(* y (* 9.0 z))
6.0ms	(* (* y (* 9.0 z)) t)

series33.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (* a (* 27.0 b)) (* (* y (* 9.0 z)) t))
3.0ms	(* a (* 27.0 b))
3.0ms	(* y (* 9.0 z))
6.0ms	(* (* y (* 9.0 z)) t)

simplify39.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5340	677

prune70.0ms

Filtered

45 candidates to 80 candidates (-77.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	78	9	87

Merged error: 0.1b

Counts

87 → 9

regimes1.5s

Accuracy

81.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	124	51
1	124	51

end0.0ms

sample910.0ms

Algorithm

intervals

Results

404.0ms	8000×	body	80	valid
151.0ms	2993×	body	80	invalid

Details

analyze1.4s

sample36.0ms

simplify31.0ms

prune14.0ms

localize12.0ms

rewrite22.0ms

series34.0ms

simplify45.0ms

prune121.0ms

localize12.0ms

rewrite25.0ms

series66.0ms

simplify60.0ms

prune129.0ms

localize12.0ms

rewrite25.0ms

series31.0ms

simplify42.0ms

prune100.0ms

localize12.0ms

rewrite22.0ms

series33.0ms

simplify39.0ms

prune70.0ms

regimes1.5s

bsearch1.0ms

simplify2.0ms

end0.0ms

sample910.0ms

Profiling