Details

sample44.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
10.0ms	256×	pre	80	true

simplify724.0ms

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite203.0ms

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:

16.0ms	(+ c (+ d e))
186.0ms	(+ (+ c (+ d e)) (+ b a))

series118.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ c (+ d e))
88.0ms	(+ (+ c (+ d e)) (+ b a))

simplify925.0ms

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	1801
1	329
0	96

prune351.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (expm1 (+ (+ (+ b a) (+ d c)) e)))
0.2b	(+ (+ b a) (+ d c))
0.2b	(+ (+ (+ b a) (+ d c)) e)
3.4b	(expm1 (+ (+ (+ b a) (+ d c)) e))

rewrite264.0ms

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)))
39.0ms	(+ (+ b a) (+ d c))
219.0ms	(+ (+ (+ b a) (+ d c)) e)
1.0ms	(expm1 (+ (+ (+ b a) (+ d c)) e))

series332.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(log1p (expm1 (+ (+ (+ b a) (+ d c)) e)))
39.0ms	(+ (+ b a) (+ d c))
70.0ms	(+ (+ (+ b a) (+ d c)) e)
108.0ms	(expm1 (+ (+ (+ b a) (+ d c)) e))

simplify814.0ms

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	1849
1	427
0	138

prune565.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ d (+ a b))
0.2b	(+ (+ d (+ a b)) c)
0.2b	(+ (+ (+ d (+ a b)) c) e)
3.4b	(expm1 (+ (+ (+ d (+ a b)) c) e))

rewrite642.0ms

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:

26.0ms	(+ d (+ a b))
114.0ms	(+ (+ d (+ a b)) c)
497.0ms	(+ (+ (+ d (+ a b)) c) e)
1.0ms	(expm1 (+ (+ (+ d (+ a b)) c) e))

series237.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ d (+ a b))
40.0ms	(+ (+ d (+ a b)) c)
74.0ms	(+ (+ (+ d (+ a b)) c) e)
105.0ms	(expm1 (+ (+ (+ d (+ a b)) c) e))

simplify676.0ms

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	1171
1	289
0	105

prune533.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ b a) (+ d c))
0.2b	(+ (+ b a) (+ d c))
0.3b	(fma (sqrt (+ (+ b a) (+ d c))) (sqrt (+ (+ b a) (+ d c))) e)
3.4b	(expm1 (fma (sqrt (+ (+ b a) (+ d c))) (sqrt (+ (+ b a) (+ d c))) e))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

46.0ms	(+ (+ b a) (+ d c))
37.0ms	(+ (+ b a) (+ d c))
0.0ms	(fma (sqrt (+ (+ b a) (+ d c))) (sqrt (+ (+ b a) (+ d c))) e)
1.0ms	(expm1 (fma (sqrt (+ (+ b a) (+ d c))) (sqrt (+ (+ b a) (+ d c))) e))

series6.2s

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (+ b a) (+ d c))
38.0ms	(+ (+ b a) (+ d c))
5.5s	(fma (sqrt (+ (+ b a) (+ d c))) (sqrt (+ (+ b a) (+ d c))) e)
717.0ms	(expm1 (fma (sqrt (+ (+ b a) (+ d c))) (sqrt (+ (+ b a) (+ d c))) e))

simplify824.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1902
1	371
0	124

prune557.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes342.0ms

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	15
1	15
0	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

281.0ms	8000×	pre	80	true
277.0ms	8000×	body	80	valid