Details

sample140.0ms

Algorithm

intervals

Results

90.0ms	175×	body	1280	valid
13.0ms	46×	body	640	valid
11.0ms	251×	body	80	valid
3.0ms	17×	body	320	valid
1.0ms	12×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	2899
9	809
8	249
7	88
6	71
5	62
4	56
3	40
2	26
1	14
0	7

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 31.7b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp (- x)) 2.0)
4.2b	(+ (- (exp (- x)) 2.0) (exp x))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

25.0ms	(- (exp (- x)) 2.0)
88.0ms	(+ (- (exp (- x)) 2.0) (exp x))

series133.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(- (exp (- x)) 2.0)
108.0ms	(+ (- (exp (- x)) 2.0) (exp x))

simplify2.0s

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
3	4401
2	700
1	198
0	79

prune155.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (pow x 6) 1/360)
0.1b	(* 1/12 (pow x 4))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
12×	`add-exp-log`
10×	`associate-r` `associate-l`
8×	`unpow-prod-down` `*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `prod-exp` `unswap-sqr`
4×	`sqr-pow`
2×	`pow-to-exp` `pow1` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

2 → 50

Calls

2 calls:

24.0ms	(* (pow x 6) 1/360)
18.0ms	(* 1/12 (pow x 4))

series146.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(* (pow x 6) 1/360)
45.0ms	(* 1/12 (pow x 4))

simplify580.0ms

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
2	743
1	202
0	92

prune313.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.0b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

8.0ms	(- (exp x) 2.0)
36.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- (exp x) 2.0)
73.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify519.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
2	825
1	215
0	93

prune213.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (exp (- x)))
4.2b	(- (exp x) (- 2.0 (exp (- x))))
4.7b	(log (exp (- (exp x) (- 2.0 (exp (- x))))))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

7.0ms	(- 2.0 (exp (- x)))
23.0ms	(- (exp x) (- 2.0 (exp (- x))))
118.0ms	(log (exp (- (exp x) (- 2.0 (exp (- x))))))

series173.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- 2.0 (exp (- x)))
72.0ms	(- (exp x) (- 2.0 (exp (- x))))
81.0ms	(log (exp (- (exp x) (- 2.0 (exp (- x))))))

simplify429.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
2	845
1	243
0	113

prune253.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes73.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample5.0s

Algorithm

intervals

Results

3.5s	5687×	body	1280	valid
578.0ms	7897×	body	80	valid
344.0ms	1226×	body	640	valid
102.0ms	603×	body	320	valid
35.0ms	309×	body	160	valid