Details

analyze623.0ms

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
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

sample25.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	60×	body	80	invalid

simplify199.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (197.0ms)

Iter	Nodes	Cost
0	1852	11
1	1852	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: 4.9b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
4.7b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

5.0ms	(/ t (- 1.0 z))
20.0ms	(- (/ y z) (/ t (- 1.0 z)))
21.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series30.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ t (- 1.0 z))
9.0ms	(- (/ y z) (/ t (- 1.0 z)))
16.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify47.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5153	1120

prune157.0ms

Filtered

71 candidates to 95 candidates (-33.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	82	13	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	13	96

Merged error: 0.2b

Counts

96 → 13

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (neg t) (- 1.0 z))
0.0b	(+ (* x (/ y z)) (* x (/ (neg t) (- 1.0 z))))
2.3b	(* x (/ (neg t) (- 1.0 z)))
6.7b	(* x (/ y z))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

120×	`add-sqr-sqrt`
111×	`times-frac`
110×	`*-un-lft-identity`
69×	`associate-r`
68×	`add-cube-cbrt`
33×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
21×	`distribute-lft-out--` `difference-of-squares`
16×	`add-exp-log` `add-cbrt-cube`
11×	`neg-mul-1`
10×	`associate-/l*`
8×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`associate-/r*`
4×	`associate-*r/` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
3×	`cbrt-undiv` `distribute-frac-neg` `div-exp` `div-inv`
2×	`flip3--` `pow-prod-down` `*-commutative` `distribute-rgt-neg-out` `flip--`
1×	`+-commutative` `neg-sub0` `frac-2neg` `flip3-+` `div-sub` `unsub-neg` `frac-add` `clear-num` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 203

Calls

4 calls:

7.0ms	(/ (neg t) (- 1.0 z))
6.0ms	(+ (* x (/ y z)) (* x (/ (neg t) (- 1.0 z))))
18.0ms	(* x (/ (neg t) (- 1.0 z)))
6.0ms	(* x (/ y z))

series40.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (neg t) (- 1.0 z))
17.0ms	(+ (* x (/ y z)) (* x (/ (neg t) (- 1.0 z))))
11.0ms	(* x (/ (neg t) (- 1.0 z)))
5.0ms	(* x (/ y z))

simplify61.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4974	2225
1	4974	2225

prune249.0ms

Filtered

147 candidates to 215 candidates (-46.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	211	4	215
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	217	11	228

Merged error: 0.2b

Counts

228 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
2.0b	(* x (* (/ (cbrt y) (cbrt z)) (/ (cbrt y) (cbrt z))))
2.3b	(* x (/ (neg t) (- 1.0 z)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
57×	`associate-r`
54×	`*-un-lft-identity`
51×	`times-frac`
34×	`add-cube-cbrt`
27×	`add-exp-log`
19×	`add-cbrt-cube`
15×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
11×	`pow1` `prod-exp` `cbrt-unprod`
10×	`distribute-lft-out--` `difference-of-squares`
6×	`cbrt-prod` `associate-l`
5×	`cbrt-undiv` `neg-mul-1` `associate-*r/` `div-exp`
4×	`pow-prod-down` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`frac-times` `flip3--` `distribute-frac-neg` `associate-*l/` `distribute-rgt-neg-out` `flip--` `div-inv`

Counts

4 → 126

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
13.0ms	(* x (* (/ (cbrt y) (cbrt z)) (/ (cbrt y) (cbrt z))))
17.0ms	(* x (/ (neg t) (- 1.0 z)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt z)
24.0ms	(cbrt z)
25.0ms	(* x (* (/ (cbrt y) (cbrt z)) (/ (cbrt y) (cbrt z))))
11.0ms	(* x (/ (neg t) (- 1.0 z)))

simplify68.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5449	1202

prune167.0ms

Filtered

87 candidates to 138 candidates (-58.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	135	3	138
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	136	13	149

Merged error: 0.0b

Counts

149 → 13

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
2.0b	(* x (* (/ (cbrt y) (cbrt z)) (/ (cbrt y) (cbrt z))))
2.3b	(* x (/ (neg t) (- 1.0 z)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
57×	`associate-r`
54×	`*-un-lft-identity`
51×	`times-frac`
34×	`add-cube-cbrt`
27×	`add-exp-log`
19×	`add-cbrt-cube`
15×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
11×	`pow1` `prod-exp` `cbrt-unprod`
10×	`distribute-lft-out--` `difference-of-squares`
6×	`cbrt-prod` `associate-l`
5×	`cbrt-undiv` `neg-mul-1` `associate-*r/` `div-exp`
4×	`pow-prod-down` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`frac-times` `flip3--` `distribute-frac-neg` `associate-*l/` `distribute-rgt-neg-out` `flip--` `div-inv`

Counts

4 → 126

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
13.0ms	(* x (* (/ (cbrt y) (cbrt z)) (/ (cbrt y) (cbrt z))))
17.0ms	(* x (/ (neg t) (- 1.0 z)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt z)
21.0ms	(cbrt z)
27.0ms	(* x (* (/ (cbrt y) (cbrt z)) (/ (cbrt y) (cbrt z))))
11.0ms	(* x (/ (neg t) (- 1.0 z)))

simplify68.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5449	1202

prune123.0ms

Filtered

87 candidates to 138 candidates (-58.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	139	12	151

Merged error: 0b

Counts

151 → 12

regimes445.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	68	67
1	68	67

end0.0ms

sample577.0ms

Algorithm

intervals

Results

285.0ms	8000×	body	80	valid
63.0ms	1788×	body	80	invalid

Details

analyze623.0ms

sample25.0ms

simplify199.0ms

prune7.0ms

localize7.0ms

rewrite49.0ms

series30.0ms

simplify47.0ms

prune157.0ms

localize9.0ms

rewrite46.0ms

series40.0ms

simplify61.0ms

prune249.0ms

localize17.0ms

rewrite38.0ms

series81.0ms

simplify68.0ms

prune167.0ms

localize23.0ms

rewrite38.0ms

series81.0ms

simplify68.0ms

prune123.0ms

regimes445.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample577.0ms

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