Details

analyze258.0ms (9.2%)

Algorithm

1×

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 (0.8%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	258×	pre	80	true
0.0ms	2×	body	80	invalid

simplify561.0ms (20%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4718	11
1	4718	11

prune11.0ms (0.4%)

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 (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite33.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 98

Calls

3 calls:

12.0ms	(* m (/ (- 1.0 m) v))
11.0ms	(* m (- (* m (/ (- 1.0 m) v)) 1.0))
6.0ms	(/ (- 1.0 m) v)

series27.0ms (1%)

Counts

3 → 9

Calls

3 calls:

14.0ms	(* m (/ (- 1.0 m) v))
8.0ms	(* m (- (* m (/ (- 1.0 m) v)) 1.0))
5.0ms	(/ (- 1.0 m) v)

simplify62.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4941	1034
1	4941	1034

prune189.0ms (6.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	100	7	107
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	101	8	109

Merged error: 0.0b

Counts

109 → 8

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite40.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
25×	`add-cube-cbrt`
20×	`add-exp-log` `associate-r` `add-cbrt-cube`
11×	`pow1`
7×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
5×	`associate-/l*`
4×	`pow-prod-down`
3×	`cbrt-undiv` `associate-r/` `div-exp` `associate-/r`
2×	`*-commutative` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `unsub-neg` `clear-num` `sum-log` `distribute-rgt-neg-out` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 110

Calls

4 calls:

11.0ms	(* m (* m (/ (- 1.0 m) v)))
10.0ms	(+ (* m (* m (/ (- 1.0 m) v))) (* m (neg 1.0)))
10.0ms	(* m (/ (- 1.0 m) v))
6.0ms	(/ (- 1.0 m) v)

series25.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (* m (* m (/ (- 1.0 m) v))) (* m (neg 1.0)))
7.0ms	(* m (* m (/ (- 1.0 m) v)))
6.0ms	(* m (/ (- 1.0 m) v))
4.0ms	(/ (- 1.0 m) v)

simplify61.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4969	1190
1	4969	1190

prune193.0ms (6.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	123	7	130

Merged error: 0.0b

Counts

130 → 7

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v m)) m)
0.0b	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow m 3) v))
0.2b	(/ m (/ v m))
9.2b	(/ (pow m 3) v)

rewrite59.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`times-frac`
80×	`add-sqr-sqrt`
74×	`*-un-lft-identity`
71×	`add-cube-cbrt`
16×	`associate-/r*`
15×	`associate-/l*`
14×	`add-exp-log`
12×	`unpow-prod-down` `cube-prod`
11×	`add-cbrt-cube`
8×	`add-log-exp`
6×	`div-exp` `div-inv`
4×	`pow1` `cbrt-undiv` `cube-mult` `sub-neg` `unpow3` `sqr-pow`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`frac-2neg` `diff-log` `associate-*r/` `associate--l+` `clear-num` `associate-/r/` `frac-sub`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-rgt-out--` `distribute-lft-in` `pow-exp` `distribute-lft-out--`

Counts

4 → 166

Calls

4 calls:

23.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow m 3) v))
19.0ms	(- (/ m (/ v m)) m)
6.0ms	(/ m (/ v m))
5.0ms	(/ (pow m 3) v)

series18.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

7.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow m 3) v))
4.0ms	(- (/ m (/ v m)) m)
4.0ms	(/ (pow m 3) v)
3.0ms	(/ m (/ v m))

simplify57.0ms (2%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4983	1838
1	4983	1838

prune264.0ms (9.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	177	8	185

Merged error: 0b

Counts

185 → 8

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite25.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

11.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)
7.0ms	(/ (* m (- 1.0 m)) v)
6.0ms	(* m (- 1.0 m))

series20.0ms (0.7%)

Counts

3 → 9

Calls

3 calls:

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

simplify39.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5861	708

prune104.0ms (3.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	78	8	86

Merged error: 0b

Counts

86 → 8

regimes160.0ms (5.7%)

Accuracy

Total 0.2b remaining (94.9%)

Threshold costs 0.2b (94.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	13
1	40	13

end0.0ms (0%)

sample534.0ms (19.1%)

Algorithm

1×

intervals

Results

237.0ms	8000×	body	80	valid
154.0ms	8061×	pre	80	true
2.0ms	61×	body	80	invalid

Details

analyze258.0ms (9.2%)

sample23.0ms (0.8%)

simplify561.0ms (20%)

prune11.0ms (0.4%)

localize9.0ms (0.3%)

rewrite33.0ms (1.2%)

series27.0ms (1%)

simplify62.0ms (2.2%)

prune189.0ms (6.7%)

localize9.0ms (0.3%)

rewrite40.0ms (1.4%)

series25.0ms (0.9%)

simplify61.0ms (2.2%)

prune193.0ms (6.9%)

localize10.0ms (0.4%)

rewrite59.0ms (2.1%)

series18.0ms (0.7%)

simplify57.0ms (2%)

prune264.0ms (9.4%)

localize7.0ms (0.2%)

rewrite25.0ms (0.9%)

series20.0ms (0.7%)

simplify39.0ms (1.4%)

prune104.0ms (3.7%)

regimes160.0ms (5.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample534.0ms (19.1%)

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