Details

sample64.0ms

Algorithm

intervals

Results

27.0ms	99×	body	1280	valid
15.0ms	91×	body	640	valid
7.0ms	295×	body	80	valid
3.0ms	33×	body	320	valid
1.0ms	19×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	24	8
3	30	8
4	34	8
done	34	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.1b

localize6.0ms

Local error

Found 1 expressions with local error:

6.6b	(- (exp x) (exp (- x)))

rewrite9.0ms

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×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

8.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify1.2s

Counts

31 → 31

Iterations

Useful iterations: 3 (287.0ms)

Iter	Nodes	Cost
0	73	547
1	160	401
2	390	308
3	1450	253
done	5001	253

prune66.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

series58.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify2.5s

Counts

13 → 13

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	26	218
1	49	212
2	145	186
3	646	186
4	4550	186
done	5000	186

prune39.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
6.5b	(- (exp (+ x x)) (exp (* x -2)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `times-frac`
12×	`prod-diff` `difference-of-squares`
10×	`exp-sum`
8×	`distribute-lft-out`
7×	`add-log-exp`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-exp-log` `add-cbrt-cube`
4×	`fma-neg` `associate-/r*`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 103

Calls

3 calls:

7.0ms	(+ (exp x) (exp (- x)))
80.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
34.0ms	(- (exp (+ x x)) (exp (* x -2)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (exp x) (exp (- x)))
76.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
41.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify3.5s

Counts

112 → 112

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	182	2456
1	433	2177
2	1153	1914
3	4774	1844
done	5000	1844

prune249.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp x) (exp (- x))))
0.1b	(/ (- (exp (+ x x)) (exp (* x -2))) (sqrt (+ (exp x) (exp (- x)))))
0.1b	(/ (/ (- (exp (+ x x)) (exp (* x -2))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
6.5b	(- (exp (+ x x)) (exp (* x -2)))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

714×	`times-frac`
633×	`*-un-lft-identity`
491×	`add-sqr-sqrt`
420×	`sqrt-prod`
293×	`add-cube-cbrt`
130×	`difference-of-squares`
105×	`distribute-lft-out`
69×	`exp-sum`
65×	`distribute-lft-out--`
54×	`associate-/l*`
22×	`sqrt-div`
20×	`associate-/r/`
14×	`associate-/r*`
12×	`prod-diff`
11×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`div-inv`
6×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `fma-neg` `div-exp` `log1p-expm1-u`
3×	`div-sub` `associate-/l/`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `hypot-def`

Counts

4 → 537

Calls

4 calls:

11.0ms	(sqrt (+ (exp x) (exp (- x))))
80.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (sqrt (+ (exp x) (exp (- x)))))
104.0ms	(/ (/ (- (exp (+ x x)) (exp (* x -2))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
34.0ms	(- (exp (+ x x)) (exp (* x -2)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sqrt (+ (exp x) (exp (- x))))
157.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (sqrt (+ (exp x) (exp (- x)))))
77.0ms	(/ (/ (- (exp (+ x x)) (exp (* x -2))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
38.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify1.5s

Counts

549 → 549

Iterations

Useful iterations: 2 (788.0ms)

Iter	Nodes	Cost
0	534	23170
1	1238	20920
2	3114	19134
done	5000	19134

prune891.0ms

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

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	14	15
done	14	15

end0.0ms

sample1.9s

Algorithm

intervals

Results

938.0ms	3393×	body	1280	valid
408.0ms	2504×	body	640	valid
197.0ms	8360×	body	80	valid
123.0ms	1228×	body	320	valid
37.0ms	609×	body	160	valid