Details

sample179.0ms

Algorithm

intervals

Results

51.0ms	441×	body	80	valid
24.0ms	441×	pre	80	true

simplify1.9s

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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

rewrite117.0ms

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:

18.0ms	(- (/ (* m (- 1 m)) v) 1)
16.0ms	(* m (- 1 m))
13.0ms	(/ (* m (- 1 m)) v)
68.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series180.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (/ (* m (- 1 m)) v) 1)
52.0ms	(* m (- 1 m))
52.0ms	(/ (* m (- 1 m)) v)
45.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify1.9s

Counts

106 → 106

Iterations

Iter	Nodes
3	3426
2	926
1	340
0	143

prune946.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

14.0ms	(- (* m (/ (- 1 m) v)) 1)
41.0ms	(* (- (* m (/ (- 1 m) v)) 1) m)
33.0ms	(* m (/ (- 1 m) v))

series144.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- (* m (/ (- 1 m) v)) 1)
52.0ms	(* (- (* m (/ (- 1 m) v)) 1) m)
61.0ms	(* m (/ (- 1 m) v))

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
3	2874
2	924
1	339
0	137

prune770.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
48×	`times-frac`
40×	`*-un-lft-identity`
34×	`add-exp-log`
28×	`add-cube-cbrt`
22×	`add-cbrt-cube`
17×	`associate-l`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
9×	`pow1` `associate-r`
8×	`difference-of-squares`
7×	`cbrt-undiv` `flip3--` `div-inv` `flip--`
6×	`prod-exp` `associate-/l*`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`rec-exp` `1-exp` `difference-of-sqr-1` `distribute-lft-out--`
2×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 149

Calls

4 calls:

23.0ms	(* m (- 1 m))
20.0ms	(/ v (* m (- 1 m)))
191.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
29.0ms	(/ 1 (/ v (* m (- 1 m))))

series201.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* m (- 1 m))
33.0ms	(/ v (* m (- 1 m)))
42.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
55.0ms	(/ 1 (/ v (* m (- 1 m))))

simplify13.7s

Counts

161 → 161

Iterations

Iter	Nodes
3	5160
2	1450
1	512
0	229

prune1.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize27.0ms

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))

rewrite267.0ms

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:

23.0ms	(* m (- 1 m))
27.0ms	(/ (* m (- 1 m)) v)
96.0ms	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
120.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))

series257.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* m (- 1 m))
43.0ms	(/ (* m (- 1 m)) v)
93.0ms	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
67.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))

simplify2.8s

Counts

117 → 117

Iterations

Iter	Nodes
3	4460
2	1259
1	436
0	173

prune970.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes204.0ms

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
2	10
1	10
0	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.7s	13819×	body	80	valid
605.0ms	13819×	pre	80	true