Details

sample254.0ms

Algorithm

intervals

Results

43.0ms	443×	pre	80	true
28.0ms	443×	body	80	valid

simplify5.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4955
5	1090
4	344
3	105
2	38
1	16
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 169

Calls

4 calls:

25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
26.0ms	(* m (- 1.0 m))
17.0ms	(/ (* m (- 1.0 m)) v)
124.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series228.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
59.0ms	(* m (- 1.0 m))
56.0ms	(/ (* m (- 1.0 m)) v)
80.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.7s

Counts

181 → 181

Iterations

Iter	Nodes
done	5002
2	1876
1	677
0	265

prune810.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

126×	`prod-diff`
94×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
90×	`add-cube-cbrt`
69×	`distribute-rgt-in` `distribute-lft-in`
60×	`times-frac`
46×	`associate-+l+` `associate-+r+`
20×	`div-inv`
16×	`add-cbrt-cube` `add-exp-log`
14×	`associate-*r/`
10×	`associate-l`
7×	`flip3--` `flip--`
6×	`pow1` `associate-/r*` `sub-neg` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `frac-add` `log1p-expm1-u` `associate-/l/`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-/l*`
1×	`+-commutative` `neg-mul-1` `sum-log` `fma-def` `flip3-+` `distribute-rgt-out` `unsub-neg` `pow-prod-down` `*-commutative` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 241

Calls

4 calls:

51.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
33.0ms	(/ (* m (- 1.0 m)) v)
27.0ms	(/ (* m (- 1.0 m)) v)
82.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

series218.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
51.0ms	(/ (* m (- 1.0 m)) v)
49.0ms	(/ (* m (- 1.0 m)) v)
52.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

simplify2.5s

Counts

253 → 253

Iterations

Iter	Nodes
done	5012
2	3572
1	1013
0	316

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(* m (* m m))
8.2b	(/ (* m (* m m)) v)
13.1b	(/ (* (* m m) 1.0) v)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-cbrt-cube` `add-exp-log`
18×	`pow1`
12×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`prod-exp` `cbrt-unprod`
9×	`associate-/r*` `times-frac`
8×	`cbrt-undiv` `div-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `pow-prod-down` `div-inv` `associate-/l*`
2×	`associate-*r/` `associate-/l/`
1×	`pow2` `pow-plus` `flip3--` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

28.0ms	(/ (* m (- 1.0 m)) v)
25.0ms	(* m (* m m))
31.0ms	(/ (* m (* m m)) v)
35.0ms	(/ (* (* m m) 1.0) v)

series178.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ (* m (- 1.0 m)) v)
60.0ms	(* m (* m m))
25.0ms	(/ (* m (* m m)) v)
36.0ms	(/ (* (* m m) 1.0) v)

simplify1.3s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1634
1	447
0	159

prune826.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(/ m (/ v (* m m)))
12.8b	(/ v (* m m))
13.1b	(/ (* (* m m) 1.0) v)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-cbrt-cube` `add-exp-log`
26×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
14×	`associate-/r*`
12×	`cbrt-undiv` `div-exp`
8×	`div-inv` `associate-/l*`
6×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `associate-/l/`
1×	`flip3--` `associate-/r/` `flip--`

Counts

4 → 123

Calls

4 calls:

26.0ms	(/ (* m (- 1.0 m)) v)
11.0ms	(/ m (/ v (* m m)))
6.0ms	(/ v (* m m))
31.0ms	(/ (* (* m m) 1.0) v)

series167.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ (* m (- 1.0 m)) v)
32.0ms	(/ m (/ v (* m m)))
44.0ms	(/ v (* m m))
31.0ms	(/ (* (* m m) 1.0) v)

simplify1.5s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	2191
1	568
0	201

prune878.0ms

Pruning

5 alts after pruning (4 fresh and 1 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

simplify5.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	13719×	body	80	valid
383.0ms	13719×	pre	80	true