Details

analyze483.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

sample20.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	14×	body	80	invalid

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	5032	11

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.3b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ x (* (- y z) (- y t))))
0.0b	(* (- y z) (- y t))
5.5b	(/ x (* (- y z) (- y t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`flip3--` `*-un-lft-identity` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `associate-l` `add-log-exp`
4×	`associate-r/` `associate-l/`
3×	`sub-neg` `times-frac` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

8.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
9.0ms	(* (- y z) (- y t))
9.0ms	(/ x (* (- y z) (- y t)))

series45.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
6.0ms	(* (- y z) (- y t))
18.0ms	(/ x (* (- y z) (- y t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4973	977
1	4973	977

prune108.0ms

Filtered

64 candidates to 83 candidates (-29.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ 1 (* (/ (- y z) x) (- y t))))
0.8b	(/ 1 (* (/ (- y z) x) (- y t)))
1.1b	(* (/ (- y z) x) (- y t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
29×	`add-exp-log`
26×	`*-un-lft-identity`
19×	`times-frac` `associate-l`
17×	`add-cbrt-cube`
15×	`add-cube-cbrt`
10×	`div-exp`
8×	`pow1` `prod-exp`
6×	`distribute-lft-out--`
5×	`cbrt-undiv` `flip3--` `associate-r` `associate-/r/` `flip--` `add-log-exp` `difference-of-squares`
4×	`frac-times` `associate-*r/` `cbrt-unprod`
3×	`sub-neg` `rec-exp` `1-exp` `div-inv` `associate-/l*`
2×	`pow-flip` `pow-prod-down` `associate-*l/` `unswap-sqr`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `diff-log` `clear-num` `associate-/r` `-commutative` `inv-pow`

Counts

3 → 97

Calls

3 calls:

7.0ms	(- 1.0 (/ 1 (* (/ (- y z) x) (- y t))))
11.0ms	(/ 1 (* (/ (- y z) x) (- y t)))
11.0ms	(* (/ (- y z) x) (- y t))

series62.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(- 1.0 (/ 1 (* (/ (- y z) x) (- y t))))
31.0ms	(/ 1 (* (/ (- y z) x) (- y t)))
13.0ms	(* (/ (- y z) x) (- y t))

simplify44.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4987	1184
1	4987	1184

prune98.0ms

Filtered

70 candidates to 106 candidates (-51.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	106	5	111

Merged error: 0.0b

Counts

111 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- 1.0 (/ x (* (- y z) (- y t)))))
5.5b	(/ x (* (- y z) (- y t)))
5.5b	(/ x (* (- y z) (- y t)))
5.5b	(/ x (* (- y z) (- y t)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-/r/`
19×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`frac-times`
11×	`add-cube-cbrt`
9×	`times-frac` `associate-/l*`
6×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/`
5×	`cbrt-prod`
4×	`pow1` `add-log-exp`
3×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`
2×	`cbrt-div`
1×	`pow1/3` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

8.0ms	(cbrt (- 1.0 (/ x (* (- y z) (- y t)))))
9.0ms	(/ x (* (- y z) (- y t)))
9.0ms	(/ x (* (- y z) (- y t)))
9.0ms	(/ x (* (- y z) (- y t)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(cbrt (- 1.0 (/ x (* (- y z) (- y t)))))
18.0ms	(/ x (* (- y z) (- y t)))
18.0ms	(/ x (* (- y z) (- y t)))
20.0ms	(/ x (* (- y z) (- y t)))

simplify38.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5319	1356

prune193.0ms

Filtered

91 candidates to 114 candidates (-25.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	114	5	119

Merged error: 0.0b

Counts

119 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
0.0b	(/ 1 (- y z))
0.0b	(/ x (- y t))
1.7b	(* (/ 1 (- y z)) (/ x (- y t)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
67×	`times-frac`
42×	`add-cube-cbrt`
32×	`add-exp-log`
21×	`associate-r` `associate-l`
20×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
7×	`pow1`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp` `unswap-sqr`
5×	`flip3--` `flip--`
4×	`cbrt-unprod` `div-inv`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `sub-neg` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

4 → 161

Calls

4 calls:

3.0ms	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
5.0ms	(/ 1 (- y z))
5.0ms	(/ x (- y t))
19.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
4.0ms	(/ 1 (- y z))
7.0ms	(/ x (- y t))
32.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5100	1719

prune139.0ms

Filtered

114 candidates to 173 candidates (-51.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	172	6	178

Merged error: 0b

Counts

178 → 6

regimes564.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	13
1	58	13

end0.0ms

sample480.0ms

Algorithm

intervals

Results

266.0ms	8000×	body	80	valid
13.0ms	409×	body	80	invalid

Details

analyze483.0ms

sample20.0ms

simplify119.0ms

prune7.0ms

localize13.0ms

rewrite28.0ms

series45.0ms

simplify40.0ms

prune108.0ms

localize9.0ms

rewrite32.0ms

series62.0ms

simplify44.0ms

prune98.0ms

localize13.0ms

rewrite38.0ms

series311.0ms

simplify38.0ms

prune193.0ms

localize9.0ms

rewrite38.0ms

series61.0ms

simplify42.0ms

prune139.0ms

regimes564.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample480.0ms

Profiling