Details

analyze258.0ms

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

sample26.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
6.0ms	259×	pre	80	true
0.0ms	3×	body	80	invalid

simplify544.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4946	13
1	4946	13

prune13.0ms

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

localize10.0ms

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

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))
7.0ms	(/ (* m (- 1.0 m)) v)
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series41.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- (/ (* 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) (- 1.0 m))

simplify45.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5045	1264

prune171.0ms

Filtered

75 candidates to 104 candidates (-38.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	101	5	106

Merged error: 0.0b

Counts

106 → 5

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

rewrite85.0ms

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:

26.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
5.0ms	(/ v (- 1.0 m))
11.0ms	(/ m (/ v (- 1.0 m)))
33.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series24.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify83.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4953	2835
1	4953	2835

prune300.0ms

Filtered

152 candidates to 200 candidates (-31.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	200	5	205

Merged error: 0.0b

Counts

205 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (- (* m (/ (- 1.0 m) v)) 1.0)) (* m (neg (- (* m (/ (- 1.0 m) v)) 1.0))))
0.1b	(* m (neg (- (* m (/ (- 1.0 m) v)) 1.0)))
0.3b	(* m (/ (- 1.0 m) v))
0.3b	(* m (/ (- 1.0 m) v))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
48×	`associate-r`
40×	`*-un-lft-identity`
32×	`times-frac`
28×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
12×	`associate-*r/`
10×	`pow1`
9×	`associate-l`
6×	`sub-neg` `distribute-neg-frac` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
5×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
4×	`distribute-neg-in` `frac-add`
3×	`distribute-lft-neg-in` `distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in` `pow-prod-down` `*-commutative`
2×	`cbrt-undiv` `associate-+l+` `associate-+r+` `div-exp` `distribute-rgt-neg-out` `div-inv`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `sum-log` `flip-+`

Counts

4 → 126

Calls

4 calls:

16.0ms	(+ (* 1.0 (- (* m (/ (- 1.0 m) v)) 1.0)) (* m (neg (- (* m (/ (- 1.0 m) v)) 1.0))))
12.0ms	(* m (neg (- (* m (/ (- 1.0 m) v)) 1.0)))
10.0ms	(* m (/ (- 1.0 m) v))
10.0ms	(* m (/ (- 1.0 m) v))

series29.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* 1.0 (- (* m (/ (- 1.0 m) v)) 1.0)) (* m (neg (- (* m (/ (- 1.0 m) v)) 1.0))))
7.0ms	(* m (neg (- (* m (/ (- 1.0 m) v)) 1.0)))
6.0ms	(* m (/ (- 1.0 m) v))
6.0ms	(* m (/ (- 1.0 m) v))

simplify55.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5103	1982

prune237.0ms

Filtered

100 candidates to 138 candidates (-38.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	137	6	143

Merged error: 0b

Counts

143 → 6

localize10.0ms

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))
0.4b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite64.0ms

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:

17.0ms	(* (- (* (/ 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))
24.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series34.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (- (* (/ 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)))

simplify78.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4985	2754
1	4985	2754

prune255.0ms

Filtered

144 candidates to 222 candidates (-54.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	221	1	222
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	222	6	228

Merged error: 0b

Counts

228 → 6

regimes163.0ms

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	58	13
1	58	13

end0.0ms

sample629.0ms

Algorithm

intervals

Results

312.0ms	8000×	body	80	valid
164.0ms	8068×	pre	80	true
3.0ms	68×	body	80	invalid

Details

analyze258.0ms

sample26.0ms

simplify544.0ms

prune13.0ms

localize10.0ms

rewrite42.0ms

series41.0ms

simplify45.0ms

prune171.0ms

localize7.0ms

rewrite85.0ms

series24.0ms

simplify83.0ms

prune300.0ms

localize11.0ms

rewrite52.0ms

series29.0ms

simplify55.0ms

prune237.0ms

localize10.0ms

rewrite64.0ms

series34.0ms

simplify78.0ms

prune255.0ms

regimes163.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample629.0ms

Profiling