Details

analyze662.0ms

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

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	64×	body	80	invalid

simplify194.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (193.0ms)

Iter	Nodes	Cost
0	1852	11
1	1852	11

prune11.0ms

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: 5.5b

Counts

2 → 1

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
5.2b	(* 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))
18.0ms	(- (/ y z) (/ t (- 1.0 z)))
23.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series31.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ t (- 1.0 z))
8.0ms	(- (/ y z) (/ t (- 1.0 z)))
17.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify46.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5153	1120

prune146.0ms

Filtered

71 candidates to 95 candidates (-33.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	86	9	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	9	96

Merged error: 0.5b

Counts

96 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (/ y z)) (* x (/ (neg t) (- 1.0 z))))
0.0b	(/ (neg t) (- 1.0 z))
3.2b	(* x (/ (neg t) (- 1.0 z)))
6.1b	(* x (/ y z))

rewrite45.0ms

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:

5.0ms	(+ (* x (/ y z)) (* x (/ (neg t) (- 1.0 z))))
7.0ms	(/ (neg t) (- 1.0 z))
17.0ms	(* x (/ (neg t) (- 1.0 z)))
6.0ms	(* x (/ y z))

series42.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (* x (/ y z)) (* x (/ (neg t) (- 1.0 z))))
6.0ms	(/ (neg t) (- 1.0 z))
15.0ms	(* x (/ (neg t) (- 1.0 z)))
5.0ms	(* x (/ y z))

simplify60.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4974	2225
1	4974	2225

prune248.0ms

Filtered

147 candidates to 215 candidates (-46.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	210	5	215
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	213	11	224

Merged error: 0.0b

Counts

224 → 11

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (/ y z)) (* x (/ t (- 1.0 z))))
0.0b	(/ t (- 1.0 z))
3.2b	(* x (/ t (- 1.0 z)))
6.1b	(* x (/ y z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

5.0ms	(- (* x (/ y z)) (* x (/ t (- 1.0 z))))
5.0ms	(/ t (- 1.0 z))
9.0ms	(* x (/ t (- 1.0 z)))
6.0ms	(* x (/ y z))

series39.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (* x (/ y z)) (* x (/ t (- 1.0 z))))
7.0ms	(/ t (- 1.0 z))
10.0ms	(* x (/ t (- 1.0 z)))
5.0ms	(* x (/ y z))

simplify41.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5001	1274

prune163.0ms

Filtered

97 candidates to 134 candidates (-38.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	129	5	134
Fresh	5	5	10
Picked	0	1	1
Done	0	0	0
Total	134	11	145

Merged error: 0.0b

Counts

145 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

5.2b	(* x (- (/ y z) (/ t (- 1.0 z))))
6.2b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.2b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.2b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
12×	`associate-*r/`
10×	`associate-r`
9×	`cbrt-div`
8×	`times-frac`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`flip3--` `frac-sub` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`cbrt-prod` `pow1/3` `associate-l`
2×	`sub-neg`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

22.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
18.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
19.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
21.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series184.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
55.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
56.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
57.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify46.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4977	1116
1	4977	1116

prune172.0ms

Filtered

64 candidates to 78 candidates (-21.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	78	11	89

Merged error: 0.0b

Counts

89 → 11

regimes582.0ms

Accuracy

69.3% (1.5b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 4.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	76	65
1	76	65

end0.0ms

sample596.0ms

Algorithm

intervals

Results

284.0ms	8000×	body	80	valid
68.0ms	1843×	body	80	invalid

Details

analyze662.0ms

sample22.0ms

simplify194.0ms

prune11.0ms

localize18.0ms

rewrite49.0ms

series31.0ms

simplify46.0ms

prune146.0ms

localize9.0ms

rewrite45.0ms

series42.0ms

simplify60.0ms

prune248.0ms

localize8.0ms

rewrite30.0ms

series39.0ms

simplify41.0ms

prune163.0ms

localize12.0ms

rewrite81.0ms

series184.0ms

simplify46.0ms

prune172.0ms

regimes582.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample596.0ms

Profiling