Details

sample123.0ms

Algorithm

intervals

Results

28.0ms	426×	body	80	valid
14.0ms	426×	pre	80	true

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
9	2094
8	1567
7	1080
6	774
5	467
4	202
3	67
2	33
1	17
0	8

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

27.0ms	(- (/ (* m (- 1 m)) v) 1)
29.0ms	(* m (- 1 m))
22.0ms	(/ (* m (- 1 m)) v)
63.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series184.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ (* m (- 1 m)) v) 1)
59.0ms	(* m (- 1 m))
46.0ms	(/ (* m (- 1 m)) v)
59.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify2.2s

Counts

106 → 106

Iterations

Iter	Nodes
3	3426
2	926
1	340
0	143

prune414.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
37×	`times-frac`
28×	`add-cube-cbrt`
25×	`associate-r`
14×	`difference-of-squares`
13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
7×	`distribute-lft-out--`
6×	`associate-l` `associate-/l*` `add-log-exp`
4×	`insert-posit16`
3×	`associate-/r*` `flip3--` `prod-exp` `cbrt-unprod` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-*r/`

Counts

4 → 119

Calls

4 calls:

17.0ms	(- (* m (/ (- 1 m) v)) 1)
23.0ms	(/ (- 1 m) v)
74.0ms	(* (- (* m (/ (- 1 m) v)) 1) m)
33.0ms	(* m (/ (- 1 m) v))

series146.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (* m (/ (- 1 m) v)) 1)
44.0ms	(/ (- 1 m) v)
35.0ms	(* (- (* m (/ (- 1 m) v)) 1) m)
45.0ms	(* m (/ (- 1 m) v))

simplify2.3s

Counts

131 → 131

Iterations

Iter	Nodes
3	3253
2	1073
1	416
0	171

prune385.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* m (/ (/ (- 1 m) (sqrt v)) (sqrt v))) 1) m)
0.2b	(/ (- 1 m) (sqrt v))
0.2b	(* m (/ (/ (- 1 m) (sqrt v)) (sqrt v)))
0.3b	(/ (/ (- 1 m) (sqrt v)) (sqrt v))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

994×	`times-frac`
719×	`add-sqr-sqrt`
693×	`*-un-lft-identity`
503×	`sqrt-prod`
438×	`add-cube-cbrt`
247×	`associate-r`
170×	`difference-of-squares`
85×	`distribute-lft-out--`
46×	`associate-/l*`
22×	`add-cbrt-cube` `add-exp-log`
16×	`div-inv`
12×	`associate-/r*`
8×	`pow1` `unswap-sqr`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`div-sub` `associate-/l/`
2×	`clear-num` `frac-2neg` `flip3--` `pow-prod-down` `associate-l/` `-commutative` `flip--`
1×	`associate-*r/`

Counts

4 → 659

Calls

4 calls:

103.0ms	(* (- (* m (/ (/ (- 1 m) (sqrt v)) (sqrt v))) 1) m)
25.0ms	(/ (- 1 m) (sqrt v))
50.0ms	(* m (/ (/ (- 1 m) (sqrt v)) (sqrt v)))
16.0ms	(/ (/ (- 1 m) (sqrt v)) (sqrt v))

series211.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- (* m (/ (/ (- 1 m) (sqrt v)) (sqrt v))) 1) m)
45.0ms	(/ (- 1 m) (sqrt v))
59.0ms	(* m (/ (/ (- 1 m) (sqrt v)) (sqrt v)))
57.0ms	(/ (/ (- 1 m) (sqrt v)) (sqrt v))

simplify3.8s

Counts

671 → 671

Iterations

Iter	Nodes
2	3956
1	1641
0	617

prune1.9s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize38.0ms

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))

rewrite199.0ms

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:

15.0ms	(* m (- 1 m))
13.0ms	(/ (* m (- 1 m)) v)
74.0ms	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
95.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))

series272.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* m (- 1 m))
41.0ms	(/ (* m (- 1 m)) v)
114.0ms	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
49.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))

simplify3.2s

Counts

117 → 117

Iterations

Iter	Nodes
3	4460
2	1259
1	436
0	173

prune444.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes195.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	10
1	10
0	8

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.8s	13618×	body	80	valid
585.0ms	13618×	pre	80	true