Details

analyze663.0ms

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	51×	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: 4.7b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
4.5b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite50.0ms

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))
19.0ms	(- (/ y z) (/ t (- 1.0 z)))
23.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series32.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ t (- 1.0 z))
8.0ms	(- (/ y z) (/ t (- 1.0 z)))
18.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify45.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5153	1120

prune152.0ms

Filtered

71 candidates to 95 candidates (-33.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	85	10	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	10	96

Merged error: 0.0b

Counts

96 → 10

localize10.0ms

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))))
2.4b	(* x (/ (neg t) (- 1.0 z)))
5.2b	(* x (/ y z))

rewrite47.0ms

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

series37.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify56.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4974	2225
1	4974	2225

prune281.0ms

Filtered

148 candidates to 215 candidates (-45.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	210	5	215
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	215	10	225

Merged error: 0.0b

Counts

225 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 z) t)
0.0b	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.7b	(/ 1 (/ (- 1.0 z) t))
4.5b	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

172×	`add-sqr-sqrt`
170×	`times-frac`
126×	`*-un-lft-identity`
72×	`add-cube-cbrt`
36×	`difference-of-squares`
22×	`associate-/r*` `distribute-lft-out--`
19×	`add-exp-log`
16×	`associate-r`
13×	`add-cbrt-cube`
8×	`div-exp` `div-inv` `associate-/l*`
7×	`pow1`
6×	`add-log-exp`
4×	`cbrt-undiv`
3×	`sub-neg` `flip3--` `associate-r/` `associate-l*` `flip--`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `frac-sub` `associate-/l/`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 199

Calls

4 calls:

6.0ms	(/ (- 1.0 z) t)
45.0ms	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
9.0ms	(/ 1 (/ (- 1.0 z) t))
49.0ms	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series32.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (- 1.0 z) t)
8.0ms	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
5.0ms	(/ 1 (/ (- 1.0 z) t))
15.0ms	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify59.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5064	2568

prune241.0ms

Filtered

136 candidates to 211 candidates (-55.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	211	0	211
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	211	10	221

Merged error: 0.0b

Counts

221 → 10

localize10.0ms

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))))
2.4b	(* x (/ (neg t) (- 1.0 z)))
4.7b	(/ (* x y) z)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

109×	`add-sqr-sqrt`
104×	`*-un-lft-identity` `times-frac`
62×	`add-cube-cbrt`
56×	`associate-r`
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` `associate-/l*`
8×	`associate-/r*`
6×	`pow1` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/r/`
3×	`distribute-frac-neg` `associate-l` `prod-exp` `cbrt-unprod` `div-inv`
2×	`flip3--` `frac-2neg` `associate-*r/` `clear-num` `distribute-rgt-neg-out` `flip--` `unswap-sqr`
1×	`+-commutative` `neg-sub0` `flip3-+` `div-sub` `unsub-neg` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+`

Counts

4 → 191

Calls

4 calls:

9.0ms	(/ (neg t) (- 1.0 z))
6.0ms	(+ (/ (* x y) z) (* x (/ (neg t) (- 1.0 z))))
17.0ms	(* x (/ (neg t) (- 1.0 z)))
4.0ms	(/ (* x y) z)

series38.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (neg t) (- 1.0 z))
17.0ms	(+ (/ (* x y) z) (* x (/ (neg t) (- 1.0 z))))
10.0ms	(* x (/ (neg t) (- 1.0 z)))
5.0ms	(/ (* x y) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5068	2163

prune197.0ms

Filtered

140 candidates to 203 candidates (-45.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	200	3	203
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	203	10	213

Merged error: 0b

Counts

213 → 10

regimes601.0ms

Accuracy

79% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 4.6b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	155	115
1	155	115

end0.0ms

sample567.0ms

Algorithm

intervals

Results

275.0ms	8000×	body	80	valid
64.0ms	1781×	body	80	invalid

Details

analyze663.0ms

sample22.0ms

simplify199.0ms

prune7.0ms

localize12.0ms

rewrite50.0ms

series32.0ms

simplify45.0ms

prune152.0ms

localize10.0ms

rewrite47.0ms

series37.0ms

simplify56.0ms

prune281.0ms

localize9.0ms

rewrite118.0ms

series32.0ms

simplify59.0ms

prune241.0ms

localize10.0ms

rewrite44.0ms

series38.0ms

simplify57.0ms

prune197.0ms

regimes601.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample567.0ms

Profiling