Details

analyze260.0ms

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

sample23.0ms

Algorithm

intervals

Results

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

simplify564.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4718	11
1	4718	11

prune12.0ms

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

rewrite38.0ms

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:

6.0ms	(* m (- 1.0 m))
8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
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))
5.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(/ (* m (- 1.0 m)) v)
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify55.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	6140	922

prune152.0ms

Filtered

67 candidates to 94 candidates (-40.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	84	10	94
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	85	11	96

Merged error: 0.0b

Counts

96 → 11

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)

rewrite77.0ms

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:

5.0ms	(/ v (- 1.0 m))
25.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
8.0ms	(/ m (/ v (- 1.0 m)))
30.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series27.0ms

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)

simplify59.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5076	2501

prune258.0ms

Filtered

146 candidates to 190 candidates (-30.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	192	9	201

Merged error: 0.0b

Counts

201 → 9

localize10.0ms

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))
6.4b	(/ (pow m 3) v)

rewrite36.0ms

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))
6.0ms	(* m (/ m v))
5.0ms	(/ (pow m 3) v)

series19.0ms

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)

simplify37.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5146	1305

prune158.0ms

Filtered

85 candidates to 135 candidates (-58.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	138	6	144

Merged error: 0.0b

Counts

144 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ m (sqrt v))
0.3b	(/ m (sqrt v))
0.4b	(* (/ m (sqrt v)) (/ m (sqrt v)))
6.4b	(/ (pow m 3) v)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
157×	`add-sqr-sqrt`
115×	`add-cube-cbrt` `*-un-lft-identity`
72×	`sqrt-prod`
28×	`swap-sqr`
25×	`add-exp-log`
22×	`associate-r` `associate-l` `add-cbrt-cube`
18×	`associate-/l*`
15×	`associate-/r*`
12×	`unpow-prod-down` `cube-prod`
11×	`pow1`
9×	`div-exp` `unswap-sqr`
7×	`cbrt-undiv` `div-inv`
4×	`cube-mult` `unpow3` `prod-exp` `cbrt-unprod` `add-log-exp` `sqr-pow`
3×	`frac-2neg` `clear-num`
1×	`pow2` `frac-times` `pow-to-exp` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-exp` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 248

Calls

4 calls:

4.0ms	(/ m (sqrt v))
4.0ms	(/ m (sqrt v))
17.0ms	(* (/ m (sqrt v)) (/ m (sqrt v)))
5.0ms	(/ (pow m 3) v)

series24.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ m (sqrt v))
7.0ms	(/ m (sqrt v))
7.0ms	(* (/ m (sqrt v)) (/ m (sqrt v)))
4.0ms	(/ (pow m 3) v)

simplify75.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4960	2445
1	4960	2445

prune229.0ms

Filtered

149 candidates to 260 candidates (-74.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	260	6	266

Merged error: 0.0b

Counts

266 → 6

regimes99.0ms

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	27	11
1	27	11

end0.0ms

sample531.0ms

Algorithm

intervals

Results

239.0ms	8000×	body	80	valid
155.0ms	8060×	pre	80	true
2.0ms	60×	body	80	invalid

Details

analyze260.0ms

sample23.0ms

simplify564.0ms

prune12.0ms

localize9.0ms

rewrite38.0ms

series32.0ms

simplify55.0ms

prune152.0ms

localize7.0ms

rewrite77.0ms

series27.0ms

simplify59.0ms

prune258.0ms

localize10.0ms

rewrite36.0ms

series19.0ms

simplify37.0ms

prune158.0ms

localize13.0ms

rewrite41.0ms

series24.0ms

simplify75.0ms

prune229.0ms

regimes99.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample531.0ms

Profiling