Details

analyze243.0ms

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

sample36.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify566.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4718	11
1	4718	11

prune11.0ms

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

localize9.0ms

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)

rewrite37.0ms

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))
6.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series43.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
4.0ms	(* m (- 1.0 m))
18.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify45.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	6140	922

prune136.0ms

Filtered

67 candidates to 94 candidates (-40.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	85	9	94
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	87	9	96

Merged error: 0.0b

Counts

96 → 9

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

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:

5.0ms	(/ v (- 1.0 m))
24.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
8.0ms	(/ m (/ v (- 1.0 m)))
30.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series23.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
5.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
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 (39.0ms)

Iter	Nodes	Cost
0	5076	2501

prune246.0ms

Filtered

145 candidates to 190 candidates (-31.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	191	8	199

Merged error: 0.0b

Counts

199 → 8

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))
7.7b	(/ (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)

series18.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify37.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5146	1305

prune147.0ms

Filtered

85 candidates to 135 candidates (-58.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	137	6	143

Merged error: 0b

Counts

143 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* m (/ m v)) m)
0.0b	(- (* 1.0 (- (* m (/ m v)) m)) (* (* m m) (/ m v)))
0.2b	(* m (/ m v))
1.1b	(* (* m m) (/ m v))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`associate-r`
21×	`add-exp-log` `add-cbrt-cube`
20×	`times-frac`
19×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
6×	`associate-*r/`
4×	`sub-neg` `associate-l` `pow-prod-down` `unswap-sqr`
3×	`cbrt-undiv` `flip3--` `div-exp` `flip--`
2×	`diff-log` `associate--l+` `*-commutative` `frac-sub` `div-inv`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 93

Calls

4 calls:

5.0ms	(- (* m (/ m v)) m)
9.0ms	(- (* 1.0 (- (* m (/ m v)) m)) (* (* m m) (/ m v)))
8.0ms	(* m (/ m v))
8.0ms	(* (* m m) (/ m v))

series18.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify43.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5004	990

prune95.0ms

Filtered

72 candidates to 105 candidates (-45.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	105	6	111

Merged error: 0b

Counts

111 → 6

regimes97.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	17
1	50	17

end0.0ms

sample739.0ms

Algorithm

intervals

Results

218.0ms

8000×

body

valid

Details

analyze243.0ms

sample36.0ms

simplify566.0ms

prune11.0ms

localize9.0ms

rewrite37.0ms

series43.0ms

simplify45.0ms

prune136.0ms

localize7.0ms

rewrite78.0ms

series23.0ms

simplify55.0ms

prune246.0ms

localize10.0ms

rewrite34.0ms

series18.0ms

simplify37.0ms

prune147.0ms

localize10.0ms

rewrite34.0ms

series18.0ms

simplify43.0ms

prune95.0ms

regimes97.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample739.0ms

Profiling