Details

sample186.0ms

Algorithm

intervals

Results

87.0ms	426×	body	80	valid
21.0ms	426×	pre	80	true

simplify925.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
5	2000
4	362
3	92
2	35
1	19
0	8

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma (/ m v) (- 1 m) -1)
7.0ms	(* (fma (/ m v) (- 1 m) -1) m)

series77.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(fma (/ m v) (- 1 m) -1)
52.0ms	(* (fma (/ m v) (- 1 m) -1) m)

simplify1.4s

Counts

38 → 38

Iterations

Iter	Nodes
done	2001
4	2001
3	1572
2	312
1	104
0	53

prune375.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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)

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`times-frac`
13×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`associate-r`
8×	`pow1`
7×	`fma-neg`
6×	`add-log-exp` `difference-of-squares`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `div-exp` `prod-exp` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`expm1-def` `associate-/r*` `sub-neg` `cbrt-unprod` `distribute-lft-out--`
2×	`cbrt-undiv` `difference-of-sqr-1` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `associate-/l*`

Counts

4 → 151

Calls

4 calls:

36.0ms	(- (/ (* m (- 1 m)) v) 1)
30.0ms	(* m (- 1 m))
16.0ms	(/ (* m (- 1 m)) v)
56.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series199.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (/ (* m (- 1 m)) v) 1)
59.0ms	(* m (- 1 m))
59.0ms	(/ (* m (- 1 m)) v)
52.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify1.4s

Counts

163 → 163

Iterations

Iter	Nodes
done	2010
3	2010
2	1306
1	539
0	227

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
37×	`times-frac`
29×	`add-cube-cbrt`
25×	`associate-r`
19×	`add-exp-log`
14×	`difference-of-squares`
13×	`add-cbrt-cube`
8×	`pow1`
7×	`distribute-lft-out--`
6×	`associate-l` `associate-/l*` `add-log-exp`
5×	`prod-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`expm1-def` `associate-/r*` `flip3--` `div-exp` `prod-diff` `cbrt-unprod` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-*r/`

Counts

4 → 134

Calls

4 calls:

13.0ms	(- (* m (/ (- 1 m) v)) 1)
19.0ms	(/ (- 1 m) v)
77.0ms	(* (- (* m (/ (- 1 m) v)) 1) m)
40.0ms	(* m (/ (- 1 m) v))

series151.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (* m (/ (- 1 m) v)) 1)
47.0ms	(/ (- 1 m) v)
36.0ms	(* (- (* m (/ (- 1 m) v)) 1) m)
49.0ms	(* m (/ (- 1 m) v))

simplify1.2s

Counts

146 → 146

Iterations

Iter	Nodes
done	2002
3	2002
2	1261
1	483
0	194

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1 m) v)
0.1b	(fma m (/ (- 1 m) v) -1)
0.2b	(* (fma m (/ (- 1 m) v) -1) (sqrt m))
0.4b	(* (* (fma m (/ (- 1 m) v) -1) (sqrt m)) (sqrt m))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`times-frac`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-r`
11×	`pow1`
8×	`difference-of-squares`
7×	`sqrt-prod`
6×	`associate-/l*`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`associate-/r*`
2×	`*-commutative` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

4 → 105

Calls

4 calls:

32.0ms	(/ (- 1 m) v)
0.0ms	(fma m (/ (- 1 m) v) -1)
15.0ms	(* (fma m (/ (- 1 m) v) -1) (sqrt m))
41.0ms	(* (* (fma m (/ (- 1 m) v) -1) (sqrt m)) (sqrt m))

series280.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ (- 1 m) v)
23.0ms	(fma m (/ (- 1 m) v) -1)
117.0ms	(* (fma m (/ (- 1 m) v) -1) (sqrt m))
80.0ms	(* (* (fma m (/ (- 1 m) v) -1) (sqrt m)) (sqrt m))

simplify1.6s

Counts

117 → 117

Iterations

Iter	Nodes
done	2005
3	2005
2	1158
1	402
0	171

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes101.0ms

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
done	11
1	11
0	8

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s	13618×	body	80	valid
585.0ms	13618×	pre	80	true