Details

sample337.0ms

Algorithm

intervals

Results

130.0ms	466×	body	80	valid
63.0ms	466×	pre	80	true

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2005
5	2005
4	369
3	90
2	35
1	19
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`add-cbrt-cube` `add-exp-log`
10×	`associate-l`
9×	`associate-r` `add-cube-cbrt`
7×	`pow1`
4×	`associate-*r/` `difference-of-squares`
3×	`associate-/r*` `times-frac` `flip3--` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--` `add-log-exp`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out--` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

3 → 77

Calls

3 calls:

30.0ms	(* m (- 1 m))
26.0ms	(/ (* m (- 1 m)) v)
81.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series197.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* m (- 1 m))
58.0ms	(/ (* m (- 1 m)) v)
65.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify1.5s

Counts

86 → 86

Iterations

Iter	Nodes
done	2003
3	2003
2	1044
1	336
0	129

prune253.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`times-frac`
15×	`add-cube-cbrt`
10×	`associate-l`
9×	`difference-of-squares`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `distribute-rgt-out--` `associate-/l*` `add-log-exp`
3×	`associate-/r` `flip3--` `associate-r*` `insert-posit16` `flip--`
2×	`difference-of-sqr-1` `associate-*l/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 82

Calls

3 calls:

8.0ms	(- m (* m m))
20.0ms	(/ (- m (* m m)) v)
144.0ms	(* (- (/ (- m (* m m)) v) 1) m)

series181.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(- m (* m m))
63.0ms	(/ (- m (* m m)) v)
44.0ms	(* (- (/ (- m (* m m)) v) 1) m)

simplify1.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	2001
3	2001
2	1083
1	345
0	141

prune362.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- m (* m m))
0.1b	(/ v (- m (* m m)))
0.1b	(* (- (/ 1 (/ v (- m (* m m)))) 1) m)
0.3b	(/ 1 (/ v (- m (* m m))))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
125×	`add-sqr-sqrt`
105×	`*-un-lft-identity`
74×	`add-cube-cbrt`
27×	`difference-of-squares`
26×	`associate-/r*`
20×	`associate-l`
19×	`add-exp-log`
17×	`distribute-rgt-out--`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`div-exp`
7×	`pow1` `flip3--` `div-inv` `flip--`
6×	`associate-/l*` `add-log-exp`
5×	`difference-of-sqr-1`
4×	`cbrt-undiv` `insert-posit16`
3×	`associate-r`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-*l/` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 200

Calls

4 calls:

9.0ms	(- m (* m m))
15.0ms	(/ v (- m (* m m)))
159.0ms	(* (- (/ 1 (/ v (- m (* m m)))) 1) m)
19.0ms	(/ 1 (/ v (- m (* m m))))

series275.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- m (* m m))
62.0ms	(/ v (- m (* m m)))
66.0ms	(* (- (/ 1 (/ v (- m (* m m)))) 1) m)
70.0ms	(/ 1 (/ v (- m (* m m))))

simplify1.2s

Counts

212 → 212

Iterations

Iter	Nodes
done	2005
2	2005
1	778
0	307

prune908.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1 m))
0.0b	(/ (* m (- 1 m)) v)
0.2b	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
0.4b	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`add-cbrt-cube` `associate-r` `add-exp-log`
13×	`pow1` `add-cube-cbrt`
11×	`associate-l`
7×	`sqrt-prod`
6×	`associate-*l/` `prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`flip3--` `associate-*r/` `insert-posit16` `flip--` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `times-frac` `-commutative` `unswap-sqr`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `distribute-lft-out--` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

4 → 105

Calls

4 calls:

30.0ms	(* m (- 1 m))
15.0ms	(/ (* m (- 1 m)) v)
72.0ms	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
99.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))

series291.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* m (- 1 m))
42.0ms	(/ (* m (- 1 m)) v)
101.0ms	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
69.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))

simplify1.4s

Counts

117 → 117

Iterations

Iter	Nodes
done	2044
3	2044
2	1410
1	463
0	173

prune485.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.4s	13755×	body	80	valid
687.0ms	13755×	pre	80	true