Details

analyze237.0ms

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

simplify421.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	13
1	43	13

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: 0.0b

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)

rewrite42.0ms

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)

series35.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
5.0ms	(* m (- 1.0 m))
9.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
14.0ms	(/ (* m (- 1.0 m)) v)

simplify46.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5165	1273

prune144.0ms

Filtered

76 candidates to 104 candidates (-36.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	102	4	106

Merged error: 0b

Counts

106 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

34×	`frac-times`
32×	`add-sqr-sqrt`
27×	`associate-r`
25×	`*-un-lft-identity`
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/`
10×	`times-frac`
9×	`associate-l`
8×	`sqrt-prod`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`pow-prod-down` `difference-of-squares`
3×	`sub-neg` `*-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)
10.0ms	(* (- 1.0 m) (/ m v))
35.0ms	(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
32.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) (+ (sqrt 1.0) (sqrt m)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* (- 1.0 m) (/ m v)) 1.0)
11.0ms	(* (- 1.0 m) (/ m v))
15.0ms	(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
18.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify74.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4993	2777
1	4993	2777

prune267.0ms

Filtered

106 candidates to 143 candidates (-34.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	143	4	147

Merged error: 0b

Counts

147 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (- 1.0 m))
0.2b	(/ m (sqrt v))
0.3b	(/ (- 1.0 m) (sqrt v))
0.3b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

130×	`add-sqr-sqrt`
108×	`times-frac`
98×	`*-un-lft-identity`
70×	`add-cube-cbrt`
60×	`sqrt-prod`
39×	`associate-r`
25×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`unswap-sqr`
8×	`pow1` `associate-/l*`
7×	`flip3--` `flip--`
6×	`cbrt-undiv` `div-exp`
5×	`frac-times` `prod-exp` `cbrt-unprod`
4×	`div-inv` `add-log-exp`
3×	`associate-r/` `associate-l/`
2×	`sub-neg` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `associate-/l/`
1×	`distribute-rgt-in` `distribute-lft-in` `div-sub`

Counts

4 → 210

Calls

4 calls:

16.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (- 1.0 m))
4.0ms	(/ m (sqrt v))
7.0ms	(/ (- 1.0 m) (sqrt v))
27.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series34.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (- 1.0 m))
7.0ms	(/ m (sqrt v))
6.0ms	(/ (- 1.0 m) (sqrt v))
9.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify46.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4993	2758
1	4993	2758

prune231.0ms

Filtered

147 candidates to 222 candidates (-51.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	222	4	226

Merged error: 0b

Counts

226 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* m 1.0) (- (/ (pow m 3) v) (* (* (/ m v) m) 2.0)))
0.0b	(* (* (/ m v) m) 2.0)
0.2b	(* (/ m v) m)
8.5b	(/ (pow m 3) v)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

46×	`times-frac`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt` `*-un-lft-identity`
23×	`add-exp-log`
20×	`add-cbrt-cube`
14×	`associate-l`
12×	`unpow-prod-down` `cube-prod` `associate-/l*`
11×	`pow1`
9×	`add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r`
5×	`div-exp`
4×	`cube-mult` `unpow3` `pow-prod-down` `sqr-pow`
3×	`cbrt-undiv` `associate-l/` `associate-/r`
2×	`sum-log` `*-commutative` `div-inv` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `associate-+r-` `sub-neg` `associate-+r+` `frac-2neg` `flip3-+` `diff-log` `pow-exp` `clear-num` `flip-+`

Counts

4 → 132

Calls

4 calls:

13.0ms	(+ (* m 1.0) (- (/ (pow m 3) v) (* (* (/ m v) m) 2.0)))
7.0ms	(* (* (/ m v) m) 2.0)
6.0ms	(* (/ m v) m)
6.0ms	(/ (pow m 3) v)

series19.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (* m 1.0) (- (/ (pow m 3) v) (* (* (/ m v) m) 2.0)))
4.0ms	(* (* (/ m v) m) 2.0)
3.0ms	(* (/ m v) m)
4.0ms	(/ (pow m 3) v)

simplify39.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5304	1254

prune150.0ms

Filtered

90 candidates to 144 candidates (-60.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	144	4	148

Merged error: 0b

Counts

148 → 4

regimes123.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	10	13
1	10	13

end0.0ms

analyze49.0ms

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

sample556.0ms

Algorithm

intervals

Results

271.0ms	8000×	body	80	valid
150.0ms	8069×	pre	80	true
2.0ms	69×	body	80	invalid

Details

analyze237.0ms

sample23.0ms

simplify421.0ms

prune11.0ms

localize9.0ms

rewrite42.0ms

series35.0ms

simplify46.0ms

prune144.0ms

localize23.0ms

rewrite90.0ms

series49.0ms

simplify74.0ms

prune267.0ms

localize9.0ms

rewrite65.0ms

series34.0ms

simplify46.0ms

prune231.0ms

localize11.0ms

rewrite37.0ms

series19.0ms

simplify39.0ms

prune150.0ms

regimes123.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze49.0ms

sample556.0ms

Profiling