Details

sample85.0ms

Algorithm

intervals

Results

26.0ms	87×	body	1280	valid
12.0ms	49×	body	640	valid
5.0ms	74×	body	80	valid
4.0ms	12×	body	2560	valid
4.0ms	23×	body	320	valid
1.0ms	11×	body	160	valid

simplify6.4s

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.8b

localize32.0ms

Local error

Found 1 expressions with local error:

8.4b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`*-un-lft-identity`
3×	`add-sqr-sqrt` `sum-log` `diff-log`
2×	`distribute-lft-out--`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

1 → 19

Calls

1 calls:

84.0ms

(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series90.0ms

Counts

1 → 3

Calls

1 calls:

90.0ms

(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify3.7s

Counts

22 → 22

Iterations

Iter	Nodes
done	5001
3	2182
2	466
1	118
0	49

prune219.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (- (- (fma x y z) z) (+ (* x y) 1.0))))
0.0b	(exp (- (- (fma x y z) z) (+ (* x y) 1.0)))
2.8b	(- (fma x y z) z)
8.1b	(- (- (fma x y z) z) (+ (* x y) 1.0))

rewrite599.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-log-exp`
24×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`diff-log`
12×	`exp-prod`
10×	`distribute-lft-out--`
8×	`exp-sum`
7×	`log-prod` `sub-neg` `log-pow` `add-cube-cbrt`
6×	`associate--l+`
5×	`pow1` `rem-exp-log`
4×	`sum-log` `flip3--` `add-cbrt-cube` `add-exp-log` `frac-sub` `insert-posit16` `flip--` `difference-of-squares`
2×	`flip3-+` `exp-diff` `flip-+`
1×	`associate--l-` `log-div` `rem-log-exp` `associate--r+`

Counts

4 → 90

Calls

4 calls:

225.0ms	(log (exp (- (- (fma x y z) z) (+ (* x y) 1.0))))
246.0ms	(exp (- (- (fma x y z) z) (+ (* x y) 1.0)))
18.0ms	(- (fma x y z) z)
105.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

series329.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(log (exp (- (- (fma x y z) z) (+ (* x y) 1.0))))
114.0ms	(exp (- (- (fma x y z) z) (+ (* x y) 1.0)))
39.0ms	(- (fma x y z) z)
93.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

simplify2.7s

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
2	1451
1	384
0	141

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 14.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (- (- (- (fma x y z) z) (* x y)) 1.0)))
0.0b	(exp (- (- (- (fma x y z) z) (* x y)) 1.0))
2.8b	(- (fma x y z) z)
8.1b	(- (- (fma x y z) z) (* x y))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

21×	`add-log-exp`
14×	`associate--l+`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`exp-sum`
10×	`exp-prod` `diff-log`
9×	`log-prod` `sub-neg`
7×	`add-cube-cbrt`
6×	`log-pow`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `rem-exp-log`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`flip3--` `exp-diff` `flip--`
1×	`associate--l-` `log-div` `rem-log-exp`

Counts

4 → 81

Calls

4 calls:

650.0ms	(log (exp (- (- (- (fma x y z) z) (* x y)) 1.0)))
695.0ms	(exp (- (- (- (fma x y z) z) (* x y)) 1.0))
8.0ms	(- (fma x y z) z)
101.0ms	(- (- (fma x y z) z) (* x y))

series327.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(log (exp (- (- (- (fma x y z) z) (* x y)) 1.0)))
84.0ms	(exp (- (- (- (fma x y z) z) (* x y)) 1.0))
59.0ms	(- (fma x y z) z)
86.0ms	(- (- (fma x y z) z) (* x y))

simplify3.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	2162
2	655
1	270
0	120

prune1.2s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize45.0ms

Local error

Found 1 expressions with local error:

6.4b	(- (fma x y z) (+ (* y x) z))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`diff-log`
1×	`pow1` `sum-log` `sub-neg` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 17

Calls

1 calls:

42.0ms

(- (fma x y z) (+ (* y x) z))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(- (fma x y z) (+ (* y x) z))

simplify5.9s

Counts

20 → 20

Iterations

Iter	Nodes
done	5012
4	3746
3	924
2	273
1	100
0	42

prune306.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 6.5b

simplify6.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

800.0ms	2612×	body	1280	valid
685.0ms	624×	body	2560	valid
427.0ms	1628×	body	640	valid
180.0ms	2098×	body	80	valid
130.0ms	698×	body	320	valid
34.0ms	340×	body	160	valid