Details

sample116.0ms

Algorithm

intervals

Results

76.0ms	175×	body	1280	valid
10.0ms	39×	body	640	valid
9.0ms	233×	body	80	valid
4.0ms	26×	body	320	valid
1.0ms	11×	body	160	valid

simplify175.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	26	8
3	40	8
4	49	8
5	54	8
6	63	8
7	80	8
8	95	8
9	103	8
10	111	8
done	111	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
5.5b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`add-log-exp`
5×	`fma-def`
4×	`frac-add`
3×	`flip3--` `fma-neg` `flip--` `distribute-lft-out--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `expm1-log1p-u` `sub-neg` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+`

Counts

2 → 65

Calls

2 calls:

12.0ms	(- (exp x) 2.0)
92.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- (exp x) 2.0)
95.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify2.6s

Counts

71 → 71

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	124	914
1	274	729
2	709	628
3	3051	557
done	5000	554

prune235.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
0.1b	(* 1/12 (pow x 4))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`add-exp-log` `associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`associate-l` `prod-exp` `unswap-sqr`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 37

Calls

2 calls:

1.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
30.0ms	(* 1/12 (pow x 4))

series223.0ms

Counts

2 → 6

Calls

2 calls:

161.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
62.0ms	(* 1/12 (pow x 4))

simplify2.0s

Counts

43 → 43

Iterations

Useful iterations: 3 (255.0ms)

Iter	Nodes	Cost
0	67	403
1	125	371
2	284	345
3	930	342
done	5000	342

prune162.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp (- x)) 2.0)
5.3b	(+ (exp x) (- (exp (- x)) 2.0))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+r+`
9×	`add-log-exp`
3×	`fma-def` `fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `diff-log` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

2 → 59

Calls

2 calls:

41.0ms	(- (exp (- x)) 2.0)
65.0ms	(+ (exp x) (- (exp (- x)) 2.0))

series115.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(- (exp (- x)) 2.0)
84.0ms	(+ (exp x) (- (exp (- x)) 2.0))

simplify3.1s

Counts

65 → 65

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	115	842
1	256	702
2	600	595
3	2516	537
done	5000	500

prune150.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
0.0b	(- (exp (- x)) 2.0)
5.0b	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x)) 2.0))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`prod-diff`
8×	`sqrt-pow1`
6×	`pow1` `exp-prod` `sqrt-prod` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-neg`
2×	`rem-sqrt-square` `pow1/2`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 74

Calls

4 calls:

6.0ms	(sqrt (exp x))
6.0ms	(sqrt (exp x))
42.0ms	(- (exp (- x)) 2.0)
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x)) 2.0))

series221.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(sqrt (exp x))
13.0ms	(sqrt (exp x))
19.0ms	(- (exp (- x)) 2.0)
169.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x)) 2.0))

simplify1.9s

Counts

86 → 86

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	120	819
1	223	649
2	462	564
3	1755	512
done	5000	498

prune331.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	11	13
done	11	13

end0.0ms

sample5.3s

Algorithm

intervals

Results

3.3s	5579×	body	1280	valid
942.0ms	7977×	body	80	valid
366.0ms	1263×	body	640	valid
108.0ms	667×	body	320	valid
82.0ms	323×	body	160	valid