Details

analyze249.0ms

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

sample24.0ms

Algorithm

intervals

Results

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

simplify509.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4963	13
1	4963	13

prune11.0ms

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

rewrite39.0ms

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:

6.0ms	(* m (- 1.0 m))
8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series39.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* 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) (- 1.0 m))

simplify30.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5334	1273

prune189.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
0.1b	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
0.3b	(* (* m (- 1.0 m)) (/ 1 v))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

6.0ms	(* m (- 1.0 m))
10.0ms	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
17.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
10.0ms	(* (* m (- 1.0 m)) (/ 1 v))

series22.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* m (- 1.0 m))
5.0ms	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
7.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
5.0ms	(* (* m (- 1.0 m)) (/ 1 v))

simplify57.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	6074	1391

prune203.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	119	5	124

Merged error: 0.0b

Counts

124 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 158

Calls

4 calls:

6.0ms	(/ (- 1.0 m) v)
14.0ms	(* (- (* (/ (- 1.0 m) v) m) 1.0) (+ (sqrt 1.0) (sqrt m)))
21.0ms	(* (* (- (* (/ (- 1.0 m) v) m) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
9.0ms	(* (/ (- 1.0 m) v) m)

series41.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (- 1.0 m) v)
16.0ms	(* (- (* (/ (- 1.0 m) v) m) 1.0) (+ (sqrt 1.0) (sqrt m)))
15.0ms	(* (* (- (* (/ (- 1.0 m) v) m) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
6.0ms	(* (/ (- 1.0 m) v) m)

simplify100.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4979	3036
1	4979	3036

prune421.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	170	5	175

Merged error: 0.0b

Counts

175 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- 1.0 m))
0.1b	(cbrt (- 1.0 m))
0.1b	(cbrt (- 1.0 m))
0.3b	(* (/ (- 1.0 m) v) m)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
19×	`associate-l`
17×	`add-cube-cbrt`
16×	`times-frac`
15×	`cbrt-prod`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `cbrt-div` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
3×	`flip3--` `pow1/3` `associate-r` `flip--`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`

Counts

4 → 83

Calls

4 calls:

3.0ms	(cbrt (- 1.0 m))
3.0ms	(cbrt (- 1.0 m))
3.0ms	(cbrt (- 1.0 m))
8.0ms	(* (/ (- 1.0 m) v) m)

series27.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify59.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4931	867
1	4931	867

prune239.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	95	5	100

Merged error: 0.0b

Counts

100 → 5

regimes148.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

end0.0ms

sample556.0ms

Algorithm

intervals

Results

276.0ms	8000×	body	80	valid
145.0ms	8060×	pre	80	true
2.0ms	60×	body	80	invalid

Details

analyze249.0ms

sample24.0ms

simplify509.0ms

prune11.0ms

localize9.0ms

rewrite39.0ms

series39.0ms

simplify30.0ms

prune189.0ms

localize9.0ms

rewrite46.0ms

series22.0ms

simplify57.0ms

prune203.0ms

localize14.0ms

rewrite58.0ms

series41.0ms

simplify100.0ms

prune421.0ms

localize12.0ms

rewrite20.0ms

series27.0ms

simplify59.0ms

prune239.0ms

regimes148.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample556.0ms

Profiling