Details

sample120.0ms

Algorithm

intervals

Results

28.0ms	407×	body	80	valid
14.0ms	407×	pre	80	true

simplify5.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2121
4	469
3	119
2	41
1	19
0	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
61×	`*-un-lft-identity`
57×	`prod-diff`
49×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
19×	`add-exp-log`
15×	`times-frac`
13×	`add-cbrt-cube`
12×	`associate-r`
10×	`associate-l`
9×	`flip3--` `flip--`
8×	`pow1` `difference-of-squares`
7×	`fma-neg`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `div-exp` `prod-exp` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
3×	`expm1-def` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `difference-of-sqr-1` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `associate-/l*`

Counts

4 → 182

Calls

4 calls:

23.0ms	(- (/ (* m (- 1 m)) v) 1)
18.0ms	(* m (- 1 m))
26.0ms	(/ (* m (- 1 m)) v)
94.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series582.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ (* m (- 1 m)) v) 1)
424.0ms	(* m (- 1 m))
61.0ms	(/ (* m (- 1 m)) v)
75.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify2.0s

Counts

194 → 194

Iterations

Iter	Nodes
done	5000
2	1816
1	668
0	269

prune712.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
26×	`add-cube-cbrt`
18×	`add-cbrt-cube` `prod-diff` `add-exp-log`
16×	`associate-r`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
8×	`pow1`
6×	`associate-/r` `times-frac` `associate-r/`
4×	`expm1-log1p-u` `cbrt-undiv` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares` `associate-/l/`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`clear-num` `sub-neg` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l*` `distribute-lft-out--` `unswap-sqr`
1×	`neg-mul-1` `difference-of-sqr-1` `distribute-rgt-neg-out`

Counts

4 → 135

Calls

4 calls:

18.0ms	(* m (- 1 m))
17.0ms	(/ (* m (- 1 m)) v)
28.0ms	(/ (* m (- 1 m)) v)
82.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- m))

series207.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* m (- 1 m))
36.0ms	(/ (* m (- 1 m)) v)
62.0ms	(/ (* m (- 1 m)) v)
41.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- m))

simplify1.5s

Counts

147 → 147

Iterations

Iter	Nodes
done	5006
2	1385
1	481
0	196

prune665.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite468.0ms

Algorithm

rewrite-expression-head

Rules

165×	`times-frac`
152×	`add-sqr-sqrt`
133×	`*-un-lft-identity`
89×	`add-cube-cbrt`
32×	`difference-of-squares`
27×	`associate-/r*`
23×	`associate-+l+`
21×	`prod-diff`
16×	`add-cbrt-cube` `add-exp-log`
14×	`distribute-lft-out--`
13×	`associate-l`
10×	`flip3--` `associate-r` `flip--`
9×	`associate-/r/` `div-inv` `add-log-exp`
7×	`fma-def`
6×	`pow1` `associate-*l/`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `difference-of-sqr-1` `frac-add` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`clear-num` `sum-log` `frac-2neg` `prod-exp` `associate-*r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `neg-mul-1` `sub-neg` `flip3-+` `diff-log` `unsub-neg` `pow-prod-down` `*-commutative` `associate-+l-` `flip-+` `unswap-sqr`

Counts

4 → 236

Calls

4 calls:

203.0ms	(+ (- (/ (* m (- 1 m)) v) 1) (* (- (/ m (/ v (- 1 m))) 1) (- m)))
12.0ms	(/ m (/ v (- 1 m)))
31.0ms	(/ (* m (- 1 m)) v)
213.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- m))

series230.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (- (/ (* m (- 1 m)) v) 1) (* (- (/ m (/ v (- 1 m))) 1) (- m)))
61.0ms	(/ m (/ v (- 1 m)))
64.0ms	(/ (* m (- 1 m)) v)
48.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- m))

simplify3.0s

Counts

248 → 248

Iterations

Iter	Nodes
done	5000
2	4478
1	1168
0	407

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
138×	`add-sqr-sqrt`
118×	`*-un-lft-identity`
77×	`add-cube-cbrt`
31×	`difference-of-squares`
27×	`associate-/r*`
18×	`add-cbrt-cube` `add-exp-log`
16×	`associate-l`
14×	`associate-r`
13×	`distribute-lft-out--`
9×	`associate-/r/`
8×	`pow1`
7×	`flip3--` `flip--`
6×	`div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `associate-r/` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in` `difference-of-sqr-1` `prod-exp` `cbrt-unprod`
2×	`clear-num` `sub-neg` `frac-2neg` `prod-diff` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 214

Calls

4 calls:

37.0ms	(* m (- (* 1 1) (* m m)))
20.0ms	(/ m (/ v (- 1 m)))
44.0ms	(/ (* m (- (* 1 1) (* m m))) (fma v m v))
178.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- m))

series266.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* m (- (* 1 1) (* m m)))
67.0ms	(/ m (/ v (- 1 m)))
77.0ms	(/ (* m (- (* 1 1) (* m m))) (fma v m v))
40.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- m))

simplify2.1s

Counts

226 → 226

Iterations

Iter	Nodes
done	5001
2	3274
1	1031
0	389

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes116.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	29
3	29
2	28
1	24
0	17

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.6s	13528×	body	80	valid
604.0ms	13528×	pre	80	true