Details

analyze239.0ms

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	259×	pre	80	true
0.0ms	3×	body	80	invalid

simplify638.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (199.0ms)

Iter	Nodes	Cost
0	4905	11
1	4905	11

prune12.0ms

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: 0.1b

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(/ (* m (- 1.0 m)) v)
6.0ms	(* m (- 1.0 m))
12.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series30.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify51.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5364	922

prune149.0ms

Filtered

65 candidates to 94 candidates (-44.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	87	7	94
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
126×	`add-sqr-sqrt`
110×	`*-un-lft-identity`
74×	`add-cube-cbrt`
26×	`associate-/r*`
22×	`difference-of-squares`
18×	`distribute-lft-out--`
13×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
7×	`flip3--` `associate-l` `flip--`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 178

Calls

4 calls:

47.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
10.0ms	(/ v (- 1.0 m))
14.0ms	(/ m (/ v (- 1.0 m)))
26.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series23.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5471	2498

prune266.0ms

Filtered

145 candidates to 190 candidates (-31.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	190	7	197

Merged error: 0.0b

Counts

197 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ v (* m (- 1.0 m)))
0.1b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.2b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 136

Calls

4 calls:

6.0ms	(* m (- 1.0 m))
6.0ms	(/ v (* m (- 1.0 m)))
21.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
8.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series28.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* m (- 1.0 m))
6.0ms	(/ v (* m (- 1.0 m)))
10.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
7.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify50.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4976	1566
1	4976	1566

prune183.0ms

Filtered

90 candidates to 148 candidates (-64.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	146	2	148
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	146	9	155

Merged error: 0.0b

Counts

155 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* m (/ m v)) m)
0.0b	(- (* 1.0 (- (* m (/ m v)) m)) (/ (pow m 3) v))
0.2b	(* m (/ m v))
9.1b	(/ (pow m 3) v)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

46×	`times-frac`
42×	`add-sqr-sqrt`
37×	`add-cube-cbrt` `*-un-lft-identity`
14×	`add-exp-log`
13×	`associate-r`
12×	`unpow-prod-down` `cube-prod` `associate-/l*`
11×	`add-cbrt-cube`
8×	`add-log-exp`
6×	`pow1`
4×	`cube-mult` `sub-neg` `unpow3` `div-exp` `sqr-pow`
3×	`flip3--` `associate-r/` `associate-l` `associate-/r` `flip--`
2×	`cbrt-undiv` `diff-log` `prod-exp` `associate--l+` `frac-sub` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `pow-prod-down` `pow-exp` `clear-num` `*-commutative`

Counts

4 → 123

Calls

4 calls:

5.0ms	(- (* m (/ m v)) m)
14.0ms	(- (* 1.0 (- (* m (/ m v)) m)) (/ (pow m 3) v))
6.0ms	(* m (/ m v))
5.0ms	(/ (pow m 3) v)

series20.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* m (/ m v)) m)
7.0ms	(- (* 1.0 (- (* m (/ m v)) m)) (/ (pow m 3) v))
3.0ms	(* m (/ m v))
3.0ms	(/ (pow m 3) v)

simplify37.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5161	1335

prune150.0ms

Filtered

84 candidates to 135 candidates (-60.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	5	1	6
Picked	1	0	1
Done	0	2	2
Total	138	6	144

Merged error: 0.0b

Counts

144 → 6

regimes100.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	11
1	58	11

end0.0ms

sample552.0ms

Algorithm

intervals

Results

255.0ms	8000×	body	80	valid
155.0ms	8068×	pre	80	true
2.0ms	68×	body	80	invalid

Details

analyze239.0ms

sample24.0ms

simplify638.0ms

prune12.0ms

localize10.0ms

rewrite35.0ms

series30.0ms

simplify51.0ms

prune149.0ms

localize7.0ms

rewrite108.0ms

series23.0ms

simplify47.0ms

prune266.0ms

localize8.0ms

rewrite46.0ms

series28.0ms

simplify50.0ms

prune183.0ms

localize10.0ms

rewrite34.0ms

series20.0ms

simplify37.0ms

prune150.0ms

regimes100.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample552.0ms

Profiling