Details

sample140.0ms

Algorithm

intervals

Results

32.0ms	459×	body	80	valid
19.0ms	459×	pre	80	true

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2003
4	362
3	92
2	35
1	19
0	8

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

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)

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`associate-r`
7×	`pow1`
4×	`associate-*r/` `difference-of-squares`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `flip3--` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `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 → 101

Calls

3 calls:

25.0ms	(* m (- 1 m))
32.0ms	(/ (* m (- 1 m)) v)
113.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series171.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* m (- 1 m))
51.0ms	(/ (* m (- 1 m)) v)
48.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify2.8s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
3	4172
2	1090
1	428
0	180

prune399.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 22

Calls

2 calls:

1.0ms	(fma (/ m v) m (- (fma (/ m v) (* m m) m)))
1.0ms	(fma (/ m v) (* m m) m)

series106.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(fma (/ m v) m (- (fma (/ m v) (* m m) m)))
58.0ms	(fma (/ m v) (* m m) m)

simplify2.6s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
4	3054
3	563
2	155
1	61
0	37

prune169.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
37×	`times-frac`
27×	`add-cube-cbrt`
25×	`associate-r`
14×	`difference-of-squares`
12×	`add-cbrt-cube` `add-exp-log`
7×	`pow1` `distribute-lft-out--`
6×	`associate-l` `associate-/l*`
3×	`expm1-log1p-u` `associate-/r*` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `flip--` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `associate-*r/`

Counts

3 → 112

Calls

3 calls:

19.0ms	(/ (- 1 m) v)
83.0ms	(* (- (* m (/ (- 1 m) v)) 1) m)
37.0ms	(* m (/ (- 1 m) v))

series144.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (- 1 m) v)
49.0ms	(* (- (* m (/ (- 1 m) v)) 1) m)
59.0ms	(* m (/ (- 1 m) v))

simplify1.3s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	1116
1	407
0	165

prune538.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1 m))
0.1b	(* (- (/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v)) 1) m)
0.3b	(/ (* m (- 1 m)) (sqrt v))
0.4b	(/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v))

rewrite417.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
92×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
67×	`add-cube-cbrt`
63×	`sqrt-prod`
22×	`add-cbrt-cube` `add-exp-log`
18×	`prod-diff`
16×	`associate-l`
12×	`associate-/r*`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-/l*`
9×	`associate-r` `div-inv`
8×	`pow1` `difference-of-squares`
7×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `difference-of-sqr-1` `flip--` `associate-/l/`
2×	`clear-num` `sub-neg` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 209

Calls

4 calls:

46.0ms	(* m (- 1 m))
303.0ms	(* (- (/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v)) 1) m)
30.0ms	(/ (* m (- 1 m)) (sqrt v))
25.0ms	(/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v))

series279.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* m (- 1 m))
61.0ms	(* (- (/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v)) 1) m)
89.0ms	(/ (* m (- 1 m)) (sqrt v))
81.0ms	(/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v))

simplify2.2s

Counts

221 → 221

Iterations

Iter	Nodes
done	5000
2	2489
1	809
0	324

prune683.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes98.0ms

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	7
0	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

896.0ms	13662×	body	80	valid
483.0ms	13662×	pre	80	true