Details

sample233.0ms

Algorithm

intervals

Results

15.0ms	471×	body	80	valid
9.0ms	471×	pre	80	true

simplify308.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	105	6
3	354	6
4	1102	6
5	3189	6
6	5002	6

prune16.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)

series26.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify48.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	362	625
1	1704	577
2	5002	565

prune117.0ms

Filtered

80 candidates to 55 candidates (31.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	6	81

Merged error: 0.0b

Counts

81 → 6

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 191

Calls

4 calls:

27.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
5.0ms	(/ v (- 1.0 m))
30.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
8.0ms	(/ m (/ v (- 1.0 m)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify89.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	699	1623
1	3448	1558
2	5002	1557

prune260.0ms

Filtered

203 candidates to 152 candidates (25.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	203	6	209

Merged error: 0.0b

Counts

209 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 82

Calls

3 calls:

7.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
14.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
9.0ms	(* m (/ (- 1.0 m) v))

series18.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify57.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	399	672
1	1990	625
2	5001	613

prune111.0ms

Filtered

91 candidates to 62 candidates (31.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	90	7	97

Merged error: 0.0b

Counts

97 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times`
29×	`add-sqr-sqrt`
23×	`flip3--` `*-un-lft-identity` `flip--`
16×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
14×	`associate-r` `sqrt-prod`
12×	`flip3-+` `associate-*r/` `flip-+`
11×	`pow1`
9×	`add-cube-cbrt` `difference-of-squares`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `cbrt-unprod` `distribute-lft-out--`
4×	`pow-prod-down`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

5.0ms	(- (sqrt 1.0) (sqrt m))
7.0ms	(/ (* m (- 1.0 m)) v)
22.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
18.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- (sqrt 1.0) (sqrt m))
5.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify42.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	881	1795
1	5001	1579

prune251.0ms

Filtered

139 candidates to 104 candidates (25.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	138	8	146

Merged error: 0b

Counts

146 → 8

regimes114.0ms

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	9	6
1	9	6

end0.0ms

sample1.0s

Algorithm

intervals

Results

437.0ms	13735×	body	80	valid
251.0ms	13735×	pre	80	true

Details

sample233.0ms

simplify308.0ms

prune16.0ms

localize9.0ms

rewrite34.0ms

series26.0ms

simplify48.0ms

prune117.0ms

localize7.0ms

rewrite79.0ms

series24.0ms

simplify89.0ms

prune260.0ms

localize7.0ms

rewrite33.0ms

series18.0ms

simplify57.0ms

prune111.0ms

localize12.0ms

rewrite57.0ms

series41.0ms

simplify42.0ms

prune251.0ms

regimes114.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

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