Details

sample132.0ms

Algorithm

intervals

Results

62.0ms	110×	body	1280	valid
29.0ms	82×	body	640	valid
16.0ms	251×	body	80	valid
9.0ms	37×	body	320	valid
3.0ms	21×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	36
4	36
3	31
2	24
1	14
0	7

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize17.0ms

Local error

Found 1 expressions with local error:

5.5b	(- (exp x) (exp (- x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 29

Calls

1 calls:

21.0ms

(- (exp x) (exp (- x)))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(- (exp x) (exp (- x)))

simplify874.0ms

Counts

32 → 32

Iterations

Iter	Nodes
done	5001
2	672
1	171
0	74

prune128.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (* x 1/3))
0.3b	(* x 1/3)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt`
6×	`associate-l`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 42

Calls

2 calls:

20.0ms	(* x (* x 1/3))
9.0ms	(* x 1/3)

series63.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (* x 1/3))
24.0ms	(* x 1/3)

simplify413.0ms

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
2	570
1	127
0	54

prune198.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- (* x -2) x))
0.0b	(+ 1 (exp (* x -2)))
0.0b	(fma (exp x) (exp x) (+ 1 (exp (* x -2))))
5.5b	(- (exp (fma x 2 x)) (exp (- (* x -2) x)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

47×	`prod-diff`
34×	`exp-sum`
28×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
11×	`add-log-exp`
10×	`fma-udef`
6×	`sub-neg`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `fma-neg` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`exp-prod` `fma-def`
2×	`diff-log` `rem-exp-log`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `exp-diff` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 103

Calls

4 calls:

22.0ms	(exp (- (* x -2) x))
6.0ms	(+ 1 (exp (* x -2)))
0.0ms	(fma (exp x) (exp x) (+ 1 (exp (* x -2))))
27.0ms	(- (exp (fma x 2 x)) (exp (- (* x -2) x)))

series166.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(exp (- (* x -2) x))
17.0ms	(+ 1 (exp (* x -2)))
59.0ms	(fma (exp x) (exp x) (+ 1 (exp (* x -2))))
74.0ms	(- (exp (fma x 2 x)) (exp (- (* x -2) x)))

simplify1.6s

Counts

115 → 115

Iterations

Iter	Nodes
done	5004
2	1847
1	486
0	213

prune693.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- (* x -2) x))
0.0b	(+ 1 (exp (* x -2)))
0.0b	(fma (exp x) (exp x) (+ 1 (exp (* x -2))))
5.5b	(fma (exp (* x 2)) (exp x) (- (exp (- (* x -2) x))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`exp-sum`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`exp-prod` `fma-def` `prod-diff`
2×	`fma-udef` `rem-exp-log`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `exp-diff` `diff-log` `flip-+` `distribute-lft-out`

Counts

4 → 61

Calls

4 calls:

17.0ms	(exp (- (* x -2) x))
11.0ms	(+ 1 (exp (* x -2)))
0.0ms	(fma (exp x) (exp x) (+ 1 (exp (* x -2))))
0.0ms	(fma (exp (* x 2)) (exp x) (- (exp (- (* x -2) x))))

series220.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(exp (- (* x -2) x))
16.0ms	(+ 1 (exp (* x -2)))
70.0ms	(fma (exp x) (exp x) (+ 1 (exp (* x -2))))
119.0ms	(fma (exp (* x 2)) (exp x) (- (exp (- (* x -2) x))))

simplify1.1s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	1143
1	322
0	143

prune482.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.1s	3334×	body	1280	valid
902.0ms	2534×	body	640	valid
635.0ms	1233×	body	320	valid
545.0ms	8313×	body	80	valid
90.0ms	628×	body	160	valid