Details

analyze245.0ms

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	256×	pre	80	true

simplify568.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (115.0ms)

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

rewrite37.0ms

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)
12.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series33.0ms

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)

simplify54.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	6140	922

prune133.0ms

Filtered

67 candidates to 94 candidates (-40.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	88	6	94
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

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:

23.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
5.0ms	(/ v (- 1.0 m))
8.0ms	(/ m (/ v (- 1.0 m)))
29.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series28.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
9.0ms	(/ v (- 1.0 m))
6.0ms	(/ m (/ v (- 1.0 m)))
8.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify56.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5076	2501

prune239.0ms

Filtered

146 candidates to 190 candidates (-30.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	190	7	197

Merged error: 0.0b

Counts

197 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 (- (* m (/ m v)) m)) (/ (pow m 3) v))
0.0b	(- (* m (/ m v)) m)
0.2b	(* m (/ m v))
5.8b	(/ (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:

14.0ms	(- (* 1.0 (- (* m (/ m v)) m)) (/ (pow m 3) v))
7.0ms	(- (* m (/ m v)) m)
6.0ms	(* m (/ m v))
5.0ms	(/ (pow m 3) v)

series19.0ms

Counts

4 → 12

Calls

4 calls:

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

prune148.0ms

Filtered

85 candidates to 135 candidates (-58.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	135	7	142

Merged error: 0b

Counts

142 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ m v))
0.5b	(cbrt (/ m v))
0.5b	(cbrt (/ m v))
5.8b	(/ (pow m 3) v)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

63×	`times-frac`
50×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
39×	`cbrt-prod`
12×	`unpow-prod-down` `cube-prod` `associate-/l*`
9×	`add-exp-log`
6×	`add-cbrt-cube`
4×	`pow1` `cube-mult` `unpow3` `div-inv` `add-log-exp` `sqr-pow`
3×	`cbrt-div` `pow1/3` `div-exp` `associate-/r*`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num`

Counts

4 → 131

Calls

4 calls:

2.0ms	(cbrt (/ m v))
2.0ms	(cbrt (/ m v))
2.0ms	(cbrt (/ m v))
5.0ms	(/ (pow m 3) v)

series47.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(cbrt (/ m v))
16.0ms	(cbrt (/ m v))
15.0ms	(cbrt (/ m v))
4.0ms	(/ (pow m 3) v)

simplify48.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5000	1206

prune154.0ms

Filtered

103 candidates to 143 candidates (-38.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	143	7	150

Merged error: 0b

Counts

150 → 7

regimes162.0ms

Accuracy

0% (0.1b 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 (1.0ms)

Iter	Nodes	Cost
0	38	15
1	38	15

end0.0ms

sample540.0ms

Algorithm

intervals

Results

238.0ms	8000×	body	80	valid
160.0ms	8040×	pre	80	true
1.0ms	40×	body	80	invalid

Details

analyze245.0ms

sample23.0ms

simplify568.0ms

prune11.0ms

localize9.0ms

rewrite37.0ms

series33.0ms

simplify54.0ms

prune133.0ms

localize7.0ms

rewrite74.0ms

series28.0ms

simplify56.0ms

prune239.0ms

localize10.0ms

rewrite36.0ms

series19.0ms

simplify34.0ms

prune148.0ms

localize14.0ms

rewrite16.0ms

series47.0ms

simplify48.0ms

prune154.0ms

regimes162.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample540.0ms

Profiling