Details

sample185.0ms

Algorithm

intervals

Results

49.0ms	437×	body	80	valid
23.0ms	437×	pre	80	true

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
5	2001
4	469
3	119
2	41
1	19
0	8

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (/ m v) (- 1 m) -1)
0.1b	(* (fma (/ m v) (- 1 m) -1) (- 1 m))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate-r`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 59

Calls

2 calls:

1.0ms	(fma (/ m v) (- 1 m) -1)
45.0ms	(* (fma (/ m v) (- 1 m) -1) (- 1 m))

series95.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(fma (/ m v) (- 1 m) -1)
66.0ms	(* (fma (/ m v) (- 1 m) -1) (- 1 m))

simplify1.3s

Counts

65 → 65

Iterations

Iter	Nodes
done	2019
4	2019
3	1661
2	599
1	245
0	121

prune220.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite586.0ms

Algorithm

rewrite-expression-head

Rules

2667×	`times-frac`
1739×	`add-sqr-sqrt`
1676×	`*-un-lft-identity`
1621×	`add-cube-cbrt`
1204×	`prod-diff`
574×	`associate--l+`
208×	`div-inv`
36×	`difference-of-squares`
32×	`distribute-lft-out--`
27×	`fma-neg` `associate-/r/`
13×	`associate-/r*`
12×	`add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
8×	`flip3--` `associate-l` `flip--`
6×	`pow1` `associate-r`
5×	`sub-neg`
4×	`expm1-log1p-u` `frac-times` `diff-log` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`difference-of-sqr-1` `associate-l/` `associate-r/`
1×	`associate--l-` `expm1-def` `clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `unswap-sqr`

Counts

4 → 1397

Calls

4 calls:

140.0ms	(- (- (/ m v) (/ m (/ v m))) 1)
23.0ms	(- (/ m v) (/ m (/ v m)))
330.0ms	(* (- (- (/ m v) (/ m (/ v m))) 1) (- 1 m))
19.0ms	(/ m (/ v m))

series158.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (- (/ m v) (/ m (/ v m))) 1)
46.0ms	(- (/ m v) (/ m (/ v m)))
52.0ms	(* (- (- (/ m v) (/ m (/ v m))) 1) (- 1 m))
35.0ms	(/ m (/ v m))

simplify2.0s

Counts

1409 → 1409

Iterations

Iter	Nodes
done	2001
1	2001
0	1180

prune9.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- (/ m v) (/ m (/ v m))) 1) (* (- m) (- (- (/ m v) (/ m (/ v m))) 1)))
0.2b	(* (- m) (- (- (/ m v) (/ m (/ v m))) 1))
0.2b	(/ m (/ v m))
0.2b	(/ m (/ v m))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

6645×	`times-frac`
4348×	`add-sqr-sqrt`
4161×	`*-un-lft-identity`
4023×	`add-cube-cbrt`
3070×	`prod-diff`
2870×	`associate--l+`
1236×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
618×	`associate-+l+`
520×	`div-inv`
94×	`difference-of-squares`
84×	`distribute-lft-out--`
67×	`associate-/r/`
26×	`associate-/r*`
16×	`add-cbrt-cube` `add-exp-log`
13×	`add-log-exp`
10×	`sub-neg` `associate-l`
8×	`fma-def` `associate-r`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-r/` `associate-/l`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `frac-add` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `sum-log` `distribute-rgt-neg-in` `distribute-rgt-out` `diff-log`
2×	`clear-num` `frac-2neg` `difference-of-sqr-1`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 3307

Calls

4 calls:

577.0ms	(+ (- (- (/ m v) (/ m (/ v m))) 1) (* (- m) (- (- (/ m v) (/ m (/ v m))) 1)))
392.0ms	(* (- m) (- (- (/ m v) (/ m (/ v m))) 1))
6.0ms	(/ m (/ v m))
6.0ms	(/ m (/ v m))

series141.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (- (- (/ m v) (/ m (/ v m))) 1) (* (- m) (- (- (/ m v) (/ m (/ v m))) 1)))
41.0ms	(* (- m) (- (- (/ m v) (/ m (/ v m))) 1))
29.0ms	(/ m (/ v m))
32.0ms	(/ m (/ v m))

simplify4.0s

Counts

3319 → 3319

Iterations

Iter	Nodes
done	3732
0	3732

prune29.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- 1 m) (/ m v) -1)
0.0b	(fma (- 1 m) (/ m v) -1)
0.1b	(fma (sqrt m) (fma (- 1 m) (/ m v) -1) (fma (- 1 m) (/ m v) -1))
0.1b	(* (fma (sqrt m) (fma (- 1 m) (/ m v) -1) (fma (- 1 m) (/ m v) -1)) (- 1 (sqrt m)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
36×	`prod-diff`
35×	`*-un-lft-identity`
30×	`add-cube-cbrt`
21×	`sqrt-prod`
20×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-r`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`associate-l` `fma-udef`
2×	`sub-neg` `associate-*r/` `distribute-lft-out--`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

0.0ms	(fma (- 1 m) (/ m v) -1)
0.0ms	(fma (- 1 m) (/ m v) -1)
0.0ms	(fma (sqrt m) (fma (- 1 m) (/ m v) -1) (fma (- 1 m) (/ m v) -1))
28.0ms	(* (fma (sqrt m) (fma (- 1 m) (/ m v) -1) (fma (- 1 m) (/ m v) -1)) (- 1 (sqrt m)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(fma (- 1 m) (/ m v) -1)
25.0ms	(fma (- 1 m) (/ m v) -1)
91.0ms	(fma (sqrt m) (fma (- 1 m) (/ m v) -1) (fma (- 1 m) (/ m v) -1))
99.0ms	(* (fma (sqrt m) (fma (- 1 m) (/ m v) -1) (fma (- 1 m) (/ m v) -1)) (- 1 (sqrt m)))

simplify1.1s

Counts

114 → 114

Iterations

Iter	Nodes
done	2000
3	2000
2	876
1	333
0	174

prune492.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes94.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.0s	13589×	body	80	valid
811.0ms	13589×	pre	80	true