Details

sample69.0ms

Algorithm

intervals

Results

20.0ms	80×	body	1280	valid
15.0ms	28×	body	2560	valid
10.0ms	57×	body	640	valid
3.0ms	62×	body	80	valid
2.0ms	20×	body	320	valid
1.0ms	9×	body	160	valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
11	4929
10	4459
9	4008
8	3078
7	1616
6	629
5	284
4	166
3	80
2	41
1	18
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.7b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
12.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite77.0ms

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-cbrt-cube` `add-exp-log` `add-cube-cbrt` `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:

10.0ms	(+ (* x y) z)
66.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* x y) z)
56.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify2.1s

Counts

35 → 35

Iterations

Iter	Nodes
done	5005
3	3022
2	737
1	180
0	65

prune220.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 31.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (- (- (- (fma x y z) z) 1.0) (* x y))))
0.0b	(exp (- (- (- (fma x y z) z) 1.0) (* x y)))
2.5b	(- (fma x y z) z)
11.0b	(- (- (- (fma x y z) z) 1.0) (* x y))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

427.0ms	(log (exp (- (- (- (fma x y z) z) 1.0) (* x y))))
385.0ms	(exp (- (- (- (fma x y z) z) 1.0) (* x y)))
9.0ms	(- (fma x y z) z)
181.0ms	(- (- (- (fma x y z) z) 1.0) (* x y))

series196.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(log (exp (- (- (- (fma x y z) z) 1.0) (* x y))))
55.0ms	(exp (- (- (- (fma x y z) z) 1.0) (* x y)))
24.0ms	(- (fma x y z) z)
65.0ms	(- (- (- (fma x y z) z) 1.0) (* x y))

simplify1.7s

Counts

88 → 88

Iterations

Iter	Nodes
done	5004
3	2275
2	655
1	257
0	111

prune603.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 31.5b

localize32.0ms

Local error

Found 2 expressions with local error:

2.5b	(- (fma x y z) z)
11.0b	(+ (- (fma x y z) z) (- (+ 1.0 (* x y))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-log-exp`
14×	`*-un-lft-identity`
8×	`sum-log`
4×	`add-sqr-sqrt` `diff-log` `neg-log` `frac-add` `distribute-neg-frac` `distribute-lft-out`
3×	`flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out--`
2×	`pow1` `associate-+l+` `sub-neg` `distribute-rgt-neg-in` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
1×	`neg-sub0` `+-commutative` `associate-+r+` `distribute-neg-in` `associate-+r-` `unsub-neg` `associate-+l-` `difference-of-squares`

Counts

2 → 45

Calls

2 calls:

8.0ms	(- (fma x y z) z)
65.0ms	(+ (- (fma x y z) z) (- (+ 1.0 (* x y))))

series75.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(- (fma x y z) z)
54.0ms	(+ (- (fma x y z) z) (- (+ 1.0 (* x y))))

simplify1.6s

Counts

51 → 51

Iterations

Iter	Nodes
done	5006
2	1249
1	299
0	102

prune245.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 31.4b

localize35.0ms

Local error

Found 4 expressions with local error:

2.5b	(- (fma x y z) z)
11.0b	(+ (- (fma x y z) z) (- (+ 1.0 (* x y))))
11.0b	(+ (- (fma x y z) z) (- (+ 1.0 (* x y))))
11.0b	(+ (- (fma x y z) z) (- (+ 1.0 (* x y))))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-log-exp`
36×	`*-un-lft-identity`
24×	`sum-log`
12×	`neg-log` `frac-add` `distribute-neg-frac` `distribute-lft-out`
10×	`diff-log`
9×	`flip3-+` `flip-+`
7×	`flip3--` `flip--` `distribute-lft-out--`
6×	`add-sqr-sqrt` `associate-+l+` `distribute-rgt-neg-in`
4×	`pow1` `sub-neg` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`neg-sub0` `+-commutative` `associate-+r+` `distribute-neg-in` `associate-+r-` `unsub-neg` `associate-+l-`
1×	`difference-of-squares`

Counts

4 → 107

Calls

4 calls:

8.0ms	(- (fma x y z) z)
59.0ms	(+ (- (fma x y z) z) (- (+ 1.0 (* x y))))
35.0ms	(+ (- (fma x y z) z) (- (+ 1.0 (* x y))))
33.0ms	(+ (- (fma x y z) z) (- (+ 1.0 (* x y))))

series193.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (fma x y z) z)
46.0ms	(+ (- (fma x y z) z) (- (+ 1.0 (* x y))))
52.0ms	(+ (- (fma x y z) z) (- (+ 1.0 (* x y))))
61.0ms	(+ (- (fma x y z) z) (- (+ 1.0 (* x y))))

simplify1.6s

Counts

119 → 119

Iterations

Iter	Nodes
done	5006
2	1249
1	299
0	102

prune618.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 31.4b

regimes466.0ms

Accuracy

0% (0.5b remaining)

Error of 30.6b against oracle of 30.1b and baseline of 30.6b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	30
2	30
1	23
0	15

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	2603×	body	1280	valid
892.0ms	1579×	body	640	valid
311.0ms	655×	body	2560	valid
139.0ms	717×	body	320	valid
111.0ms	2111×	body	80	valid
34.0ms	335×	body	160	valid