Details

sample278.0ms

Algorithm

intervals

Results

10.0ms	420×	body	80	valid
6.0ms	420×	pre	80	true

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	112	6
3	393	6
4	1344	6
5	4072	6
6	5001	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
8×	`flip3--` `associate-l` `flip--`
7×	`pow1`
6×	`associate-*r/`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 125

Calls

3 calls:

12.0ms	(* m (- 1.0 m))
11.0ms	(/ (* m (- 1.0 m)) v)
65.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series135.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* m (- 1.0 m))
42.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify74.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	500	1273
1	2527	968
2	5001	962

prune203.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
111×	`add-sqr-sqrt`
102×	`*-un-lft-identity`
74×	`add-cube-cbrt`
21×	`associate-/r*`
18×	`prod-diff`
16×	`difference-of-squares`
14×	`distribute-lft-out--`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`flip3--` `flip--`
9×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
7×	`associate-l`
5×	`associate-r` `div-inv`
4×	`pow1` `frac-times`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`expm1-log1p-u` `sub-neg` `associate-r/` `associate-l/` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 160

Calls

2 calls:

9.0ms	(/ m (/ v (- 1.0 m)))
208.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series76.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ m (/ v (- 1.0 m)))
39.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify109.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	714	1669
1	3707	1487
2	5001	1486

prune324.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
26×	`add-cube-cbrt`
18×	`add-exp-log` `prod-diff` `add-cbrt-cube`
15×	`associate-r`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `associate-l`
6×	`times-frac` `associate-r/` `associate-/r`
4×	`cbrt-undiv` `expm1-log1p-u` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`sub-neg` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 128

Calls

4 calls:

11.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
10.0ms	(/ (* m (- 1.0 m)) v)
50.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series163.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
37.0ms	(/ (* m (- 1.0 m)) v)
40.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify74.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	438	888
1	2279	699
2	5002	687

prune267.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
0.1b	(sqrt (* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m)))
0.1b	(sqrt (* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m)))
0.3b	(* (sqrt (* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))) (sqrt (* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))))

rewrite816.0ms

Algorithm

rewrite-expression-head

Rules

160×	`sqrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
61×	`pow1`
50×	`associate-r/` `associate-l/`
37×	`add-sqr-sqrt`
32×	`sqrt-pow1`
26×	`*-un-lft-identity`
23×	`pow-prod-down`
22×	`add-cube-cbrt`
18×	`prod-diff`
12×	`pow1/2`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
10×	`pow-prod-up`
9×	`associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `swap-sqr` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`times-frac`
2×	`sub-neg` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 229

Calls

4 calls:

204.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
87.0ms	(sqrt (* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m)))
87.0ms	(sqrt (* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m)))
422.0ms	(* (sqrt (* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))) (sqrt (* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))))

series322.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
120.0ms	(sqrt (* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m)))
127.0ms	(sqrt (* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m)))
36.0ms	(* (sqrt (* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))) (sqrt (* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))))

simplify118.0ms

Algorithm

egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	645	4836
1	2911	4572
2	5001	4517

prune564.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample724.0ms

Algorithm

intervals

Results

324.0ms	13757×	body	80	valid
182.0ms	13757×	pre	80	true