Details

sample212.0ms

Algorithm

intervals

Results

58.0ms	469×	body	80	valid
28.0ms	469×	pre	80	true

simplify810.0ms

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:

0.0ms	(fma (/ m v) (- 1 m) -1)
18.0ms	(* (fma (/ m v) (- 1 m) -1) (- 1 m))

series88.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(fma (/ m v) (- 1 m) -1)
59.0ms	(* (fma (/ m v) (- 1 m) -1) (- 1 m))

simplify895.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	2000
3	1661
2	599
1	245
0	121

prune216.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

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))

rewrite652.0ms

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:

150.0ms	(- (- (/ m v) (/ m (/ v m))) 1)
28.0ms	(- (/ m v) (/ m (/ v m)))
388.0ms	(* (- (- (/ m v) (/ m (/ v m))) 1) (- 1 m))
12.0ms	(/ m (/ v m))

series180.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (- (/ m v) (/ m (/ v m))) 1)
45.0ms	(- (/ m v) (/ m (/ v m)))
52.0ms	(* (- (- (/ m v) (/ m (/ v m))) 1) (- 1 m))
57.0ms	(/ m (/ v m))

simplify1.5s

Counts

1409 → 1409

Iterations

Iter	Nodes
done	2001
0	1180

prune9.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

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))
36.0ms	(* (fma (sqrt m) (fma (- 1 m) (/ m v) -1) (fma (- 1 m) (/ m v) -1)) (- 1 (sqrt m)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma (- 1 m) (/ m v) -1)
40.0ms	(fma (- 1 m) (/ m v) -1)
140.0ms	(fma (sqrt m) (fma (- 1 m) (/ m v) -1) (fma (- 1 m) (/ m v) -1))
110.0ms	(* (fma (sqrt m) (fma (- 1 m) (/ m v) -1) (fma (- 1 m) (/ m v) -1)) (- 1 (sqrt m)))

simplify784.0ms

Counts

114 → 114

Iterations

Iter	Nodes
done	2000
2	876
1	333
0	174

prune623.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite956.0ms

Algorithm

rewrite-expression-head

Rules

1353×	`times-frac`
880×	`add-sqr-sqrt`
867×	`*-un-lft-identity`
845×	`add-cube-cbrt`
608×	`prod-diff`
104×	`div-inv`
32×	`frac-times`
22×	`flip3--` `sqrt-prod` `flip--`
21×	`distribute-rgt-in` `distribute-lft-in`
16×	`add-cbrt-cube` `associate-*l/` `add-exp-log`
14×	`associate-r` `associate-/r/`
13×	`associate-/r*` `fma-neg`
12×	`flip3-+` `flip-+` `difference-of-squares`
11×	`pow1`
10×	`associate-*r/` `distribute-lft-out--`
9×	`associate-l`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `sub-neg` `div-exp` `associate-/l*`
2×	`*-commutative` `distribute-lft-out`
1×	`clear-num` `frac-2neg` `diff-log` `difference-of-sqr-1` `frac-sub` `unswap-sqr`

Counts

4 → 816

Calls

4 calls:

31.0ms	(- (/ m v) (/ m (/ v m)))
361.0ms	(* (- (- (/ m v) (/ m (/ v m))) 1) (+ 1 (sqrt m)))
495.0ms	(* (* (- (- (/ m v) (/ m (/ v m))) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
6.0ms	(/ m (/ v m))

series296.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (/ m v) (/ m (/ v m)))
96.0ms	(* (- (- (/ m v) (/ m (/ v m))) 1) (+ 1 (sqrt m)))
119.0ms	(* (* (- (- (/ m v) (/ m (/ v m))) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
32.0ms	(/ m (/ v m))

simplify1.2s

Counts

828 → 828

Iterations

Iter	Nodes
done	2000
0	1188

prune5.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes133.0ms

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	13
1	13
0	10

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.3s	13668×	body	80	valid
961.0ms	13668×	pre	80	true