Details

analyze248.0ms

Algorithm

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	257×	pre	80	true
0.0ms	1×	body	80	invalid

simplify551.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4718	11
1	4718	11

prune11.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series32.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
5.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify52.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	6140	922

prune138.0ms

Filtered

67 candidates to 94 candidates (-40.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	87	7	94
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	87	9	96

Merged error: 0.0b

Counts

96 → 9

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (- 1.0 m))
0.0b	(- (/ m (/ v (- 1.0 m))) 1.0)
0.1b	(/ m (/ v (- 1.0 m)))
0.2b	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
126×	`add-sqr-sqrt`
110×	`*-un-lft-identity`
74×	`add-cube-cbrt`
26×	`associate-/r*`
22×	`difference-of-squares`
18×	`distribute-lft-out--`
13×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
7×	`flip3--` `associate-l` `flip--`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 178

Calls

4 calls:

6.0ms	(/ v (- 1.0 m))
27.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
9.0ms	(/ m (/ v (- 1.0 m)))
33.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series26.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ v (- 1.0 m))
5.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
5.0ms	(/ m (/ v (- 1.0 m)))
10.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify55.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5076	2501

prune244.0ms

Filtered

146 candidates to 190 candidates (-30.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	189	10	199

Merged error: 0.0b

Counts

199 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* m (/ m v)) m)
0.0b	(- (* 1.0 (- (* m (/ m v)) m)) (/ (pow m 3) v))
0.2b	(* m (/ m v))
7.4b	(/ (pow m 3) v)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

46×	`times-frac`
42×	`add-sqr-sqrt`
37×	`add-cube-cbrt` `*-un-lft-identity`
14×	`add-exp-log`
13×	`associate-r`
12×	`unpow-prod-down` `cube-prod` `associate-/l*`
11×	`add-cbrt-cube`
8×	`add-log-exp`
6×	`pow1`
4×	`cube-mult` `sub-neg` `unpow3` `div-exp` `sqr-pow`
3×	`flip3--` `associate-r/` `associate-l` `associate-/r` `flip--`
2×	`cbrt-undiv` `diff-log` `prod-exp` `associate--l+` `frac-sub` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `pow-prod-down` `pow-exp` `clear-num` `*-commutative`

Counts

4 → 123

Calls

4 calls:

5.0ms	(- (* m (/ m v)) m)
15.0ms	(- (* 1.0 (- (* m (/ m v)) m)) (/ (pow m 3) v))
7.0ms	(* m (/ m v))
6.0ms	(/ (pow m 3) v)

series18.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- (* m (/ m v)) m)
7.0ms	(- (* 1.0 (- (* m (/ m v)) m)) (/ (pow m 3) v))
3.0ms	(* m (/ m v))
4.0ms	(/ (pow m 3) v)

simplify34.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5146	1305

prune163.0ms

Filtered

85 candidates to 135 candidates (-58.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	130	5	135
Fresh	4	3	7
Picked	1	0	1
Done	0	2	2
Total	135	10	145

Merged error: 0.0b

Counts

145 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* m (/ (sqrt m) (sqrt v)))
0.2b	(* (* m (/ (sqrt m) (sqrt v))) (* m (/ (sqrt m) (sqrt v))))
0.3b	(/ (sqrt m) (sqrt v))
0.3b	(/ (sqrt m) (sqrt v))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

124×	`sqrt-prod`
112×	`times-frac`
100×	`add-sqr-sqrt`
86×	`add-cube-cbrt` `*-un-lft-identity`
49×	`add-exp-log` `add-cbrt-cube`
45×	`pow1`
41×	`associate-r`
23×	`prod-exp` `cbrt-unprod`
18×	`pow-prod-down`
12×	`associate-/r` `associate-/l`
9×	`cbrt-undiv` `div-exp`
6×	`associate-*r/`
5×	`unswap-sqr`
4×	`associate-l` `pow-sqr` `pow-prod-up` `add-log-exp`
3×	`div-inv`
2×	`sqrt-undiv` `frac-2neg` `pow-plus` `clear-num` `*-commutative`
1×	`pow2` `frac-times` `swap-sqr` `associate-*l/`

Counts

4 → 231

Calls

4 calls:

13.0ms	(* m (/ (sqrt m) (sqrt v)))
16.0ms	(* (* m (/ (sqrt m) (sqrt v))) (* m (/ (sqrt m) (sqrt v))))
5.0ms	(/ (sqrt m) (sqrt v))
5.0ms	(/ (sqrt m) (sqrt v))

series42.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* m (/ (sqrt m) (sqrt v)))
11.0ms	(* (* m (/ (sqrt m) (sqrt v))) (* m (/ (sqrt m) (sqrt v))))
9.0ms	(/ (sqrt m) (sqrt v))
10.0ms	(/ (sqrt m) (sqrt v))

simplify78.0ms

Algorithm

egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4948	2110
1	4948	2110

prune144.0ms

Filtered

123 candidates to 243 candidates (-97.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	243	0	243
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	243	10	253

Merged error: 0.0b

Counts

253 → 10

regimes176.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	11
1	28	11

end0.0ms

sample514.0ms

Algorithm

intervals

Results

232.0ms	8000×	body	80	valid
147.0ms	8054×	pre	80	true
2.0ms	54×	body	80	invalid

Details

analyze248.0ms

sample22.0ms

simplify551.0ms

prune11.0ms

localize9.0ms

rewrite39.0ms

series32.0ms

simplify52.0ms

prune138.0ms

localize7.0ms

rewrite83.0ms

series26.0ms

simplify55.0ms

prune244.0ms

localize12.0ms

rewrite37.0ms

series18.0ms

simplify34.0ms

prune163.0ms

localize15.0ms

rewrite51.0ms

series42.0ms

simplify78.0ms

prune144.0ms

regimes176.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample514.0ms

Profiling