Details

analyze254.0ms

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

simplify493.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4963	13
1	4963	13

prune10.0ms

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(* m (- 1.0 m))
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)

series38.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
4.0ms	(* m (- 1.0 m))
7.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
13.0ms	(/ (* m (- 1.0 m)) v)

simplify29.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5334	1273

prune144.0ms

Filtered

76 candidates to 104 candidates (-36.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	99	5	104
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	100	6	106

Merged error: 0.0b

Counts

106 → 6

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 188

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
27.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
31.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5173	2843

prune266.0ms

Filtered

155 candidates to 200 candidates (-29.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	197	9	206

Merged error: 0.0b

Counts

206 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (- 1.0 m) (/ m v)) 1.0)
0.1b	(* (- 1.0 m) (/ m v))
0.1b	(* (* (+ (sqrt 1.0) (sqrt m)) (- (* (- 1.0 m) (/ m v)) 1.0)) (- (sqrt 1.0) (sqrt m)))
0.1b	(* (+ (sqrt 1.0) (sqrt m)) (- (* (- 1.0 m) (/ m v)) 1.0))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

34×	`frac-times`
32×	`add-sqr-sqrt`
25×	`-un-lft-identity` `associate-r*`
24×	`flip3--` `flip--`
18×	`associate-*l/`
16×	`add-exp-log` `add-cbrt-cube`
15×	`add-cube-cbrt`
13×	`pow1`
12×	`flip3-+` `flip-+`
11×	`associate-r/` `associate-l*`
10×	`times-frac`
8×	`sqrt-prod`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`sub-neg` `pow-prod-down` `difference-of-squares`
3×	`*-commutative` `distribute-lft-out--` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out`
1×	`cbrt-undiv` `diff-log` `div-exp` `div-inv`

Counts

4 → 131

Calls

4 calls:

8.0ms	(- (* (- 1.0 m) (/ m v)) 1.0)
9.0ms	(* (- 1.0 m) (/ m v))
22.0ms	(* (* (+ (sqrt 1.0) (sqrt m)) (- (* (- 1.0 m) (/ m v)) 1.0)) (- (sqrt 1.0) (sqrt m)))
18.0ms	(* (+ (sqrt 1.0) (sqrt m)) (- (* (- 1.0 m) (/ m v)) 1.0))

series45.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* (- 1.0 m) (/ m v)) 1.0)
5.0ms	(* (- 1.0 m) (/ m v))
18.0ms	(* (* (+ (sqrt 1.0) (sqrt m)) (- (* (- 1.0 m) (/ m v)) 1.0)) (- (sqrt 1.0) (sqrt m)))
17.0ms	(* (+ (sqrt 1.0) (sqrt m)) (- (* (- 1.0 m) (/ m v)) 1.0))

simplify80.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5052	2871

prune260.0ms

Filtered

107 candidates to 143 candidates (-33.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	2	4	6
Picked	0	1	1
Done	1	1	2
Total	144	8	152

Merged error: 0.0b

Counts

152 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (cbrt (- 1.0 m)) (* (cbrt (- 1.0 m)) (- (* (- 1.0 m) (/ m v)) 1.0))) (cbrt (- 1.0 m)))
0.1b	(cbrt (- 1.0 m))
0.1b	(cbrt (- 1.0 m))
0.1b	(cbrt (- 1.0 m))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
136×	`frac-times`
111×	`flip3--` `flip--`
50×	`associate-*l/`
44×	`associate-*r/`
20×	`cbrt-prod`
17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`pow1` `add-exp-log`
9×	`add-cube-cbrt`
8×	`associate-r`
7×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 151

Calls

4 calls:

27.0ms	(* (* (cbrt (- 1.0 m)) (* (cbrt (- 1.0 m)) (- (* (- 1.0 m) (/ m v)) 1.0))) (cbrt (- 1.0 m)))
3.0ms	(cbrt (- 1.0 m))
3.0ms	(cbrt (- 1.0 m))
3.0ms	(cbrt (- 1.0 m))

series31.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* (cbrt (- 1.0 m)) (* (cbrt (- 1.0 m)) (- (* (- 1.0 m) (/ m v)) 1.0))) (cbrt (- 1.0 m)))
9.0ms	(cbrt (- 1.0 m))
6.0ms	(cbrt (- 1.0 m))
8.0ms	(cbrt (- 1.0 m))

simplify98.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4981	5245
1	4981	5245

prune310.0ms

Filtered

102 candidates to 163 candidates (-59.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	163	8	171

Merged error: 0.0b

Counts

171 → 8

regimes169.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

end0.0ms

sample543.0ms

Algorithm

intervals

Results

257.0ms	8000×	body	80	valid
148.0ms	8054×	pre	80	true
2.0ms	54×	body	80	invalid

Details

analyze254.0ms

sample23.0ms

simplify493.0ms

prune10.0ms

localize9.0ms

rewrite41.0ms

series38.0ms

simplify29.0ms

prune144.0ms

localize7.0ms

rewrite81.0ms

series24.0ms

simplify58.0ms

prune266.0ms

localize13.0ms

rewrite63.0ms

series45.0ms

simplify80.0ms

prune260.0ms

localize11.0ms

rewrite48.0ms

series31.0ms

simplify98.0ms

prune310.0ms

regimes169.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample543.0ms

Profiling