Details

sample51.0ms

Algorithm

intervals

Results

16.0ms	78×	body	1280	valid
8.0ms	49×	body	640	valid
4.0ms	68×	body	80	valid
4.0ms	17×	body	2560	valid
3.0ms	31×	body	320	valid
1.0ms	13×	body	160	valid

simplify3.5s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.7b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
9.6b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite80.0ms

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:

11.0ms	(+ (* x y) z)
68.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (* x y) z)
57.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify2.0s

Counts

35 → 35

Iterations

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

prune249.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 29.4b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- (- (- (fma x y z) z) 1.0) (* x y)))
0.7b	(log (exp (- (- (- (fma x y z) z) 1.0) (* x y))))
1.5b	(- (fma x y z) z)
8.7b	(- (- (- (fma x y z) z) 1.0) (* x y))

rewrite990.0ms

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:

352.0ms	(exp (- (- (- (fma x y z) z) 1.0) (* x y)))
416.0ms	(log (exp (- (- (- (fma x y z) z) 1.0) (* x y))))
8.0ms	(- (fma x y z) z)
210.0ms	(- (- (- (fma x y z) z) 1.0) (* x y))

series175.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(exp (- (- (- (fma x y z) z) 1.0) (* x y)))
49.0ms	(log (exp (- (- (- (fma x y z) z) 1.0) (* x y))))
32.0ms	(- (fma x y z) z)
52.0ms	(- (- (- (fma x y z) z) 1.0) (* x y))

simplify1.6s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	2259
2	657
1	257
0	111

prune535.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 29.3b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (fma x y z) z) 1.0)
1.5b	(- (fma x y z) z)
8.7b	(- (- (- (fma x y z) z) 1.0) (* x y))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`*-un-lft-identity` `diff-log`
8×	`associate--l+`
7×	`add-sqr-sqrt`
6×	`sub-neg`
4×	`distribute-lft-out--`
3×	`pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip--`
2×	`associate--l-` `difference-of-squares`

Counts

3 → 52

Calls

3 calls:

32.0ms	(- (- (fma x y z) z) 1.0)
4.0ms	(- (fma x y z) z)
192.0ms	(- (- (- (fma x y z) z) 1.0) (* x y))

series115.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (- (fma x y z) z) 1.0)
21.0ms	(- (fma x y z) z)
52.0ms	(- (- (- (fma x y z) z) 1.0) (* x y))

simplify1.8s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
3	2316
2	618
1	206
0	87

prune349.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 18.3b

localize45.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (fma x y z) z)
8.7b	(- (- (- (fma x y z) z) 1.0) (* x y))
8.7b	(- (- (- (fma x y z) z) 1.0) (* x y))
8.7b	(- (- (- (fma x y z) z) 1.0) (* x y))

rewrite667.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-log-exp`
19×	`diff-log`
18×	`associate--l+`
10×	`sub-neg`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip--`
3×	`associate--l-`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 71

Calls

4 calls:

8.0ms	(- (fma x y z) z)
229.0ms	(- (- (- (fma x y z) z) 1.0) (* x y))
206.0ms	(- (- (- (fma x y z) z) 1.0) (* x y))
219.0ms	(- (- (- (fma x y z) z) 1.0) (* x y))

series179.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (fma x y z) z)
50.0ms	(- (- (- (fma x y z) z) 1.0) (* x y))
48.0ms	(- (- (- (fma x y z) z) 1.0) (* x y))
58.0ms	(- (- (- (fma x y z) z) 1.0) (* x y))

simplify1.7s

Counts

83 → 83

Iterations

Iter	Nodes
done	5011
3	1653
2	451
1	159
0	68

prune544.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 18.3b

regimes563.0ms

Accuracy

98.1% (0.2b remaining)

Error of 20.1b against oracle of 19.9b and baseline of 31.0b

bsearch129.0ms

Steps

Iters	Range		Point
9	19308167340.91292	7284904392851012.0	242525515658638.97
4	-39920535.94906797	-25254222.655854985	-27766186.06931602

simplify10.0ms

Iterations

Iter	Nodes
done	29
1	29
0	25

end0.0ms

sample2.7s

Algorithm

intervals

Results

777.0ms	605×	body	2560	valid
751.0ms	2619×	body	1280	valid
461.0ms	1565×	body	640	valid
207.0ms	771×	body	320	valid
200.0ms	2105×	body	80	valid
35.0ms	335×	body	160	valid