Details

sample31.0ms

Algorithm

intervals

Results

11.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify496.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	565
7	565
6	558
5	483
4	348
3	169
2	58
1	19
0	9

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ c (+ d e))
0.3b	(+ (+ c (+ d e)) (+ b a))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
28×	`add-log-exp`
21×	`distribute-lft-out`
18×	`sum-log`
8×	`fma-def`
6×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `frac-add` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `+-commutative` `associate-+r+` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
1×	`associate-+l+`

Counts

2 → 55

Calls

2 calls:

12.0ms	(+ c (+ d e))
103.0ms	(+ (+ c (+ d e)) (+ b a))

series104.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ c (+ d e))
77.0ms	(+ (+ c (+ d e)) (+ b a))

simplify676.0ms

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	1801
1	329
0	96

prune338.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (expm1 (+ (+ (+ b a) (+ d c)) e)))
0.2b	(+ (+ (+ b a) (+ d c)) e)
0.3b	(+ (+ b a) (+ d c))
3.3b	(expm1 (+ (+ (+ b a) (+ d c)) e))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
34×	`add-log-exp`
30×	`distribute-lft-out`
21×	`sum-log`
11×	`fma-def`
6×	`add-sqr-sqrt` `flip3-+` `add-cube-cbrt` `flip-+`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `frac-add` `add-exp-log`
2×	`+-commutative` `associate-+l+`
1×	`associate-+r+` `log1p-udef` `expm1-log1p` `log1p-expm1` `expm1-udef`

Counts

4 → 82

Calls

4 calls:

0.0ms	(log1p (expm1 (+ (+ (+ b a) (+ d c)) e)))
196.0ms	(+ (+ (+ b a) (+ d c)) e)
60.0ms	(+ (+ b a) (+ d c))
0.0ms	(expm1 (+ (+ (+ b a) (+ d c)) e))

series316.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(log1p (expm1 (+ (+ (+ b a) (+ d c)) e)))
90.0ms	(+ (+ (+ b a) (+ d c)) e)
45.0ms	(+ (+ b a) (+ d c))
76.0ms	(expm1 (+ (+ (+ b a) (+ d c)) e))

simplify857.0ms

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	1839
1	425
0	138

prune602.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ d (+ a b))
0.2b	(+ (+ (+ d (+ a b)) c) e)
0.2b	(+ (+ d (+ a b)) c)
3.3b	(expm1 (+ (+ (+ d (+ a b)) c) e))

rewrite669.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
32×	`add-log-exp`
28×	`distribute-lft-out`
19×	`sum-log`
14×	`fma-def`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log`
3×	`+-commutative` `flip3-+` `flip-+`
2×	`associate-+l+`
1×	`associate-+r+` `expm1-log1p` `expm1-udef`

Counts

4 → 82

Calls

4 calls:

24.0ms	(+ d (+ a b))
518.0ms	(+ (+ (+ d (+ a b)) c) e)
122.0ms	(+ (+ d (+ a b)) c)
1.0ms	(expm1 (+ (+ (+ d (+ a b)) c) e))

series293.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ d (+ a b))
88.0ms	(+ (+ (+ d (+ a b)) c) e)
54.0ms	(+ (+ d (+ a b)) c)
123.0ms	(expm1 (+ (+ (+ d (+ a b)) c) e))

simplify679.0ms

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	1141
1	290
0	105

prune605.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ a d) b)
0.2b	(+ (+ (+ (+ a d) b) c) e)
0.2b	(+ (+ (+ a d) b) c)
3.3b	(expm1 (+ (+ (+ (+ a d) b) c) e))

rewrite974.0ms

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
32×	`add-log-exp`
29×	`distribute-lft-out`
19×	`sum-log`
15×	`fma-def`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log`
3×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`expm1-log1p` `expm1-udef`

Counts

4 → 83

Calls

4 calls:

46.0ms	(+ (+ a d) b)
733.0ms	(+ (+ (+ (+ a d) b) c) e)
190.0ms	(+ (+ (+ a d) b) c)
1.0ms	(expm1 (+ (+ (+ (+ a d) b) c) e))

series261.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (+ a d) b)
74.0ms	(+ (+ (+ (+ a d) b) c) e)
41.0ms	(+ (+ (+ a d) b) c)
119.0ms	(expm1 (+ (+ (+ (+ a d) b) c) e))

simplify940.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	1350
1	281
0	103

prune745.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes582.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

372.0ms	8000×	body	80	valid
300.0ms	8000×	pre	80	true