Details

analyze1.5s

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

sample37.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
5.0ms	101×	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	(+ (* x 2.0) (- (* a (* 27.0 b)) (* y (* 9.0 (* z t)))))
0.3b	(* 9.0 (* z t))
0.3b	(* a (* 27.0 b))
5.5b	(* y (* 9.0 (* z t)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

7.0ms	(+ (* x 2.0) (- (* a (* 27.0 b)) (* y (* 9.0 (* z t)))))
5.0ms	(* 9.0 (* z t))
4.0ms	(* a (* 27.0 b))
6.0ms	(* y (* 9.0 (* z t)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* x 2.0) (- (* a (* 27.0 b)) (* y (* 9.0 (* z t)))))
3.0ms	(* 9.0 (* z t))
5.0ms	(* a (* 27.0 b))
6.0ms	(* y (* 9.0 (* z t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5012	770

prune118.0ms

Filtered

48 candidates to 83 candidates (-72.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	76	7	83
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	77	8	85

Merged error: 0.0b

Counts

85 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 2.0) (- (* a (* 27.0 b)) (* y (* (* 9.0 z) t))))
0.2b	(* (* 9.0 z) t)
0.3b	(* a (* 27.0 b))
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`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
5×	`associate-r`
3×	`*-commutative`
2×	`sum-log`
1×	`+-commutative` `associate-+r-` `sub-neg` `associate-+r+` `flip3-+` `diff-log` `flip-+`

Counts

4 → 71

Calls

4 calls:

7.0ms	(+ (* x 2.0) (- (* a (* 27.0 b)) (* y (* (* 9.0 z) t))))
5.0ms	(* (* 9.0 z) t)
4.0ms	(* a (* 27.0 b))
6.0ms	(* y (* (* 9.0 z) t))

series47.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* x 2.0) (- (* a (* 27.0 b)) (* y (* (* 9.0 z) t))))
3.0ms	(* (* 9.0 z) t)
3.0ms	(* a (* 27.0 b))
6.0ms	(* y (* (* 9.0 z) t))

simplify29.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4969	773
1	4969	773

prune106.0ms

Filtered

49 candidates to 83 candidates (-69.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a (* 27.0 b)) (* (* y 9.0) (* z t)))
0.0b	(+ (* x 2.0) (- (* a (* 27.0 b)) (* (* y 9.0) (* z t))))
0.3b	(* a (* 27.0 b))
5.6b	(* (* y 9.0) (* z t))

rewrite24.0ms

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:

5.0ms	(- (* a (* 27.0 b)) (* (* y 9.0) (* z t)))
7.0ms	(+ (* x 2.0) (- (* a (* 27.0 b)) (* (* y 9.0) (* z t))))
4.0ms	(* a (* 27.0 b))
6.0ms	(* (* y 9.0) (* z t))

series64.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (* a (* 27.0 b)) (* (* y 9.0) (* z t)))
33.0ms	(+ (* x 2.0) (- (* a (* 27.0 b)) (* (* y 9.0) (* z t))))
3.0ms	(* a (* 27.0 b))
6.0ms	(* (* y 9.0) (* z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5015	910

prune98.0ms

Filtered

46 candidates to 77 candidates (-67.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	77	7	84

Merged error: 0.0b

Counts

84 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

5.5b	(* y (* 9.0 (* z t)))
7.9b	(cbrt (* a (* 27.0 b)))
7.9b	(cbrt (* a (* 27.0 b)))
7.9b	(cbrt (* a (* 27.0 b)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

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

series58.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* y (* 9.0 (* z t)))
16.0ms	(cbrt (* a (* 27.0 b)))
16.0ms	(cbrt (* a (* 27.0 b)))
17.0ms	(cbrt (* a (* 27.0 b)))

simplify74.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4947	425
1	4947	425

prune95.0ms

Filtered

39 candidates to 60 candidates (-53.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	58	9	67

Merged error: 0.0b

Counts

67 → 9

regimes1.7s

Accuracy

88.9% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.8b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	154	106
1	154	106

end0.0ms

sample889.0ms

Algorithm

intervals

Results

389.0ms	8000×	body	80	valid
143.0ms	3006×	body	80	invalid

Details

analyze1.5s

sample37.0ms

simplify31.0ms

prune14.0ms

localize12.0ms

rewrite24.0ms

series48.0ms

simplify40.0ms

prune118.0ms

localize15.0ms

rewrite25.0ms

series47.0ms

simplify29.0ms

prune106.0ms

localize15.0ms

rewrite24.0ms

series64.0ms

simplify47.0ms

prune98.0ms

localize18.0ms

rewrite18.0ms

series58.0ms

simplify74.0ms

prune95.0ms

regimes1.7s

bsearch1.0ms

simplify3.0ms

end0.0ms

sample889.0ms

Profiling