Details

analyze242.0ms

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

simplify488.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

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))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

6.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series26.0ms

Counts

3 → 9

Calls

3 calls:

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))

simplify27.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5256	1059

prune124.0ms

Filtered

64 candidates to 88 candidates (-37.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	85	5	90

Merged error: 0b

Counts

90 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

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))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
118×	`add-sqr-sqrt`
109×	`*-un-lft-identity`
73×	`add-cube-cbrt`
26×	`associate-/r*`
20×	`difference-of-squares`
18×	`distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`flip3--` `associate-/r/` `flip--`
7×	`associate-l`
6×	`div-inv` `associate-/l*`
5×	`pow1` `associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`add-log-exp`
2×	`sub-neg` `frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 173

Calls

3 calls:

8.0ms	(/ v (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))
33.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series18.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4981	2579
1	4981	2579

prune227.0ms

Filtered

141 candidates to 182 candidates (-29.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	182	5	187

Merged error: 0b

Counts

187 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 106

Calls

3 calls:

5.0ms	(/ (- 1.0 m) v)
15.0ms	(* (- 1.0 m) (- (* m (/ (- 1.0 m) v)) 1.0))
10.0ms	(* m (/ (- 1.0 m) v))

series17.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify55.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4974	1347
1	4974	1347

prune130.0ms

Filtered

81 candidates to 115 candidates (-42.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	115	5	120

Merged error: 0b

Counts

120 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.0b	(* (* (- (* (/ (- 1.0 m) v) m) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
0.1b	(* (- (* (/ (- 1.0 m) v) m) 1.0) (+ (sqrt 1.0) (sqrt m)))
0.2b	(* (/ (- 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)
22.0ms	(* (* (- (* (/ (- 1.0 m) v) m) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
15.0ms	(* (- (* (/ (- 1.0 m) v) m) 1.0) (+ (sqrt 1.0) (sqrt m)))
9.0ms	(* (/ (- 1.0 m) v) m)

series43.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (- 1.0 m) v)
14.0ms	(* (* (- (* (/ (- 1.0 m) v) m) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
19.0ms	(* (- (* (/ (- 1.0 m) v) m) 1.0) (+ (sqrt 1.0) (sqrt m)))
5.0ms	(* (/ (- 1.0 m) v) m)

simplify101.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4979	3036
1	4979	3036

prune296.0ms

Filtered

129 candidates to 170 candidates (-31.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	170	5	175

Merged error: 0b

Counts

175 → 5

regimes128.0ms

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

sample531.0ms

Algorithm

intervals

Results

252.0ms	8000×	body	80	valid
149.0ms	8066×	pre	80	true
2.0ms	66×	body	80	invalid

Details

analyze242.0ms

sample23.0ms

simplify488.0ms

prune10.0ms

localize9.0ms

rewrite33.0ms

series26.0ms

simplify27.0ms

prune124.0ms

localize6.0ms

rewrite57.0ms

series18.0ms

simplify58.0ms

prune227.0ms

localize7.0ms

rewrite34.0ms

series17.0ms

simplify55.0ms

prune130.0ms

localize12.0ms

rewrite58.0ms

series43.0ms

simplify101.0ms

prune296.0ms

regimes128.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample531.0ms

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