Details

analyze236.0ms

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

sample22.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify434.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	11
1	43	11

prune26.0ms

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

rewrite38.0ms

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))
7.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series32.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
5.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify46.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5828	923

prune135.0ms

Filtered

65 candidates to 94 candidates (-44.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	86	8	94
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	86	10	96

Merged error: 0.0b

Counts

96 → 10

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

rewrite79.0ms

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:

26.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
5.0ms	(/ v (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))
31.0ms	(* (- (/ 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)
6.0ms	(/ v (- 1.0 m))
5.0ms	(/ m (/ v (- 1.0 m)))
7.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify55.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5045	2502

prune243.0ms

Filtered

146 candidates to 190 candidates (-30.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	191	9	200

Merged error: 0.0b

Counts

200 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 (- (* m (/ m v)) m)) (/ (pow m 3) v))
0.0b	(- (* m (/ m v)) m)
0.2b	(* m (/ m v))
8.5b	(/ (pow m 3) v)

rewrite37.0ms

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:

16.0ms	(- (* 1.0 (- (* m (/ m v)) m)) (/ (pow m 3) v))
5.0ms	(- (* m (/ m v)) m)
7.0ms	(* m (/ m v))
6.0ms	(/ (pow m 3) v)

series18.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify62.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5000	1278

prune149.0ms

Filtered

82 candidates to 135 candidates (-64.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	136	8	144

Merged error: 0.0b

Counts

144 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

7.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
6.0ms	(/ (- 1.0 m) v)
10.0ms	(* m (- (* m (/ (- 1.0 m) v)) 1.0))
9.0ms	(* m (/ (- 1.0 m) v))

series22.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify56.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	6189	1218

prune115.0ms

Filtered

81 candidates to 121 candidates (-49.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	123	6	129

Merged error: 0.0b

Counts

129 → 6

regimes137.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11

end0.0ms

analyze44.0ms

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

sample505.0ms

Algorithm

intervals

Results

234.0ms	8000×	body	80	valid
144.0ms	8069×	pre	80	true
2.0ms	69×	body	80	invalid

Details

analyze236.0ms

sample22.0ms

simplify434.0ms

prune26.0ms

localize10.0ms

rewrite38.0ms

series32.0ms

simplify46.0ms

prune135.0ms

localize7.0ms

rewrite79.0ms

series23.0ms

simplify55.0ms

prune243.0ms

localize10.0ms

rewrite37.0ms

series18.0ms

simplify62.0ms

prune149.0ms

localize7.0ms

rewrite35.0ms

series22.0ms

simplify56.0ms

prune115.0ms

regimes137.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze44.0ms

sample505.0ms

Profiling