Details

sample166.0ms

Algorithm

intervals

Results

107.0ms	174×	body	1280	valid
15.0ms	45×	body	640	valid
14.0ms	271×	body	80	valid
5.0ms	24×	body	320	valid
1.0ms	9×	body	160	valid

simplify206.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
5.1b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite109.0ms

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:

25.0ms	(- (exp x) 2.0)
81.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series107.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(- (exp x) 2.0)
92.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify2.4s

Counts

71 → 71

Iterations

Useful iterations: done (2.4s)

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

prune332.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 27

Calls

1 calls:

25.0ms

(* 1/12 (pow x 4))

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

(* 1/12 (pow x 4))

simplify4.2s

Counts

30 → 30

Iterations

Useful iterations: 3 (269.0ms)

Iter	Nodes	Cost
0	52	233
1	103	204
2	227	198
3	678	195
4	3155	195
done	5000	195

prune80.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (exp x) 2.0)
0.0b	(- (exp x) 2.0)
0.0b	(* (- (exp x) 2.0) (- (exp x) 2.0))
5.7b	(- (* (- (exp x) 2.0) (- (exp x) 2.0)) (exp (* x -2)))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
62×	`add-sqr-sqrt`
57×	`prod-diff`
47×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
11×	`pow1`
10×	`add-log-exp`
9×	`flip3--` `flip--`
8×	`distribute-lft-out--`
7×	`sub-neg` `fma-neg` `swap-sqr` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u`
3×	`diff-log`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

25.0ms	(- (exp x) 2.0)
27.0ms	(- (exp x) 2.0)
98.0ms	(* (- (exp x) 2.0) (- (exp x) 2.0))
84.0ms	(- (* (- (exp x) 2.0) (- (exp x) 2.0)) (exp (* x -2)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- (exp x) 2.0)
15.0ms	(- (exp x) 2.0)
42.0ms	(* (- (exp x) 2.0) (- (exp x) 2.0))
112.0ms	(- (* (- (exp x) 2.0) (- (exp x) 2.0)) (exp (* x -2)))

simplify1.3s

Counts

174 → 174

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	204	3047
1	445	2309
2	1351	1937
done	5000	1786

prune472.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.7s	5618×	body	1280	valid
952.0ms	7860×	body	80	valid
308.0ms	1281×	body	640	valid
151.0ms	604×	body	320	valid
31.0ms	319×	body	160	valid