Details

sample142.0ms

Algorithm

intervals

Results

52.0ms	459×	pre	80	true
29.0ms	459×	body	80	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
5	2382
4	369
3	90
2	35
1	19
0	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

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)

rewrite165.0ms

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:

24.0ms	(* m (- 1 m))
22.0ms	(/ (* m (- 1 m)) v)
113.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series163.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* m (- 1 m))
42.0ms	(/ (* m (- 1 m)) v)
63.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify2.9s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	4716
2	1044
1	336
0	129

prune367.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (/ m (sqrt v)) (/ (- 1 m) (sqrt v))) 1) m)
0.3b	(/ m (sqrt v))
0.3b	(/ (- 1 m) (sqrt v))
0.4b	(* (/ m (sqrt v)) (/ (- 1 m) (sqrt v)))

rewrite279.0ms

Algorithm

rewrite-expression-head

Rules

145×	`add-sqr-sqrt`
120×	`times-frac`
113×	`*-un-lft-identity`
74×	`add-cube-cbrt`
66×	`sqrt-prod`
43×	`associate-r`
26×	`difference-of-squares`
25×	`associate-l`
22×	`add-cbrt-cube` `add-exp-log`
13×	`distribute-lft-out--`
12×	`associate-/r*`
10×	`unswap-sqr`
9×	`associate-/l*`
8×	`pow1`
6×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`insert-posit16` `div-inv` `add-log-exp`
3×	`associate-*l/`
2×	`clear-num` `frac-2neg` `flip3--` `pow-prod-down` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 217

Calls

4 calls:

135.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1 m) (sqrt v))) 1) m)
6.0ms	(/ m (sqrt v))
21.0ms	(/ (- 1 m) (sqrt v))
109.0ms	(* (/ m (sqrt v)) (/ (- 1 m) (sqrt v)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1 m) (sqrt v))) 1) m)
76.0ms	(/ m (sqrt v))
69.0ms	(/ (- 1 m) (sqrt v))
71.0ms	(* (/ m (sqrt v)) (/ (- 1 m) (sqrt v)))

simplify1.9s

Counts

229 → 229

Iterations

Iter	Nodes
done	5000
2	2562
1	868
0	305

prune919.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

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))

rewrite282.0ms

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:

32.0ms	(* m (- 1 m))
33.0ms	(/ (* m (- 1 m)) v)
85.0ms	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
130.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))

series278.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* m (- 1 m))
61.0ms	(/ (* m (- 1 m)) v)
93.0ms	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
47.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))

simplify1.4s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	1410
1	463
0	173

prune473.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v m)) (+ m (/ m (/ v (* m m)))))
0.1b	(/ m (/ v (* m m)))
0.2b	(/ m (/ v m))
12.7b	(/ v (* m m))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
73×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
64×	`add-cube-cbrt`
23×	`add-cbrt-cube` `add-exp-log`
21×	`associate-/r*`
11×	`div-inv`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*` `add-log-exp`
4×	`pow1` `insert-posit16`
3×	`clear-num` `frac-2neg` `difference-of-squares`
2×	`diff-log` `prod-exp` `associate-/r/` `frac-sub` `cbrt-unprod` `distribute-lft-out--`
1×	`sum-log` `sub-neg` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `associate--r+`

Counts

4 → 164

Calls

4 calls:

132.0ms	(- (/ m (/ v m)) (+ m (/ m (/ v (* m m)))))
23.0ms	(/ m (/ v (* m m)))
17.0ms	(/ m (/ v m))
16.0ms	(/ v (* m m))

series122.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (/ m (/ v m)) (+ m (/ m (/ v (* m m)))))
38.0ms	(/ m (/ v (* m m)))
20.0ms	(/ m (/ v m))
35.0ms	(/ v (* m m))

simplify1.9s

Counts

176 → 176

Iterations

Iter	Nodes
done	5000
2	2936
1	751
0	269

prune717.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

911.0ms	13662×	body	80	valid
901.0ms	13662×	pre	80	true