Details

sample108.0ms

Algorithm

intervals

Results

31.0ms	93×	body	1280	valid
29.0ms	29×	body	320	valid
12.0ms	47×	body	640	valid
9.0ms	23×	body	2560	valid
4.0ms	51×	body	80	valid
2.0ms	13×	body	160	valid

simplify6.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4622
9	4130
8	3118
7	1625
6	622
5	283
4	165
3	79
2	41
1	18
0	9

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 48.7b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
11.6b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sum-log`
3×	`diff-log`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

2 → 29

Calls

2 calls:

18.0ms	(+ (* x y) z)
114.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series150.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ (* x y) z)
97.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify3.2s

Counts

35 → 35

Iterations

Iter	Nodes
done	5004
3	2574
2	709
1	182
0	65

prune312.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 38.6b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (- (- (fma x y z) (* y x)) (+ z 1.0))))
0.0b	(exp (- (- (fma x y z) (* y x)) (+ z 1.0)))
1.9b	(- (- (fma x y z) (* y x)) (+ z 1.0))
9.9b	(- (fma x y z) (* y x))

rewrite478.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-log-exp`
22×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `diff-log`
12×	`exp-prod`
8×	`exp-sum`
7×	`add-cube-cbrt` `sub-neg` `log-prod` `log-pow`
6×	`associate--l+` `distribute-lft-out--`
5×	`pow1` `rem-exp-log`
4×	`add-exp-log` `flip3--` `sum-log` `frac-sub` `add-cbrt-cube` `flip--`
3×	`distribute-lft-out` `difference-of-squares`
2×	`flip3-+` `exp-diff` `flip-+`
1×	`associate--l-` `log-div` `rem-log-exp` `associate--r+`

Counts

4 → 84

Calls

4 calls:

187.0ms	(log (exp (- (- (fma x y z) (* y x)) (+ z 1.0))))
192.0ms	(exp (- (- (fma x y z) (* y x)) (+ z 1.0)))
82.0ms	(- (- (fma x y z) (* y x)) (+ z 1.0))
11.0ms	(- (fma x y z) (* y x))

series271.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(log (exp (- (- (fma x y z) (* y x)) (+ z 1.0))))
73.0ms	(exp (- (- (fma x y z) (* y x)) (+ z 1.0)))
77.0ms	(- (- (fma x y z) (* y x)) (+ z 1.0))
44.0ms	(- (fma x y z) (* y x))

simplify2.5s

Counts

96 → 96

Iterations

Iter	Nodes
done	5009
2	1431
1	380
0	135

prune805.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 16.7b

localize47.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (- (- (- (fma x y z) (* y x)) z) 1.0))
0.0b	(log (exp (- (- (- (fma x y z) (* y x)) z) 1.0)))
9.9b	(- (fma x y z) (* y x))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`add-log-exp`
12×	`exp-prod` `exp-sum` `associate--l+`
10×	`add-sqr-sqrt`
9×	`log-prod`
7×	`sub-neg` `diff-log` `log-pow`
6×	`add-cube-cbrt` `distribute-lft-out--`
4×	`pow1` `rem-exp-log`
3×	`add-exp-log` `add-cbrt-cube`
2×	`exp-diff` `difference-of-squares`
1×	`log-div` `flip3--` `rem-log-exp` `flip--`

Counts

3 → 61

Calls

3 calls:

529.0ms	(exp (- (- (- (fma x y z) (* y x)) z) 1.0))
551.0ms	(log (exp (- (- (- (fma x y z) (* y x)) z) 1.0)))
12.0ms	(- (fma x y z) (* y x))

series190.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(exp (- (- (- (fma x y z) (* y x)) z) 1.0))
80.0ms	(log (exp (- (- (- (fma x y z) (* y x)) z) 1.0)))
48.0ms	(- (fma x y z) (* y x))

simplify3.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	2101
2	559
1	207
0	95

prune537.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.8b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y x) z)
9.4b	(- (fma x y z) (+ (* y x) z))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `diff-log` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 27

Calls

2 calls:

17.0ms	(+ (* y x) z)
34.0ms	(- (fma x y z) (+ (* y x) z))

series110.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* y x) z)
70.0ms	(- (fma x y z) (+ (* y x) z))

simplify5.1s

Counts

33 → 33

Iterations

Iter	Nodes
done	5001
4	4248
3	1232
2	427
1	151
0	55

prune230.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 9.5b

regimes197.0ms

Accuracy

0% (0.0b remaining)

Error of 8.2b against oracle of 8.2b and baseline of 8.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.8s	2579×	body	1280	valid
560.0ms	1584×	body	640	valid
477.0ms	617×	body	2560	valid
346.0ms	2152×	body	80	valid
230.0ms	741×	body	320	valid
99.0ms	327×	body	160	valid