Details

sample78.0ms

Algorithm

intervals

Results

35.0ms	113×	body	1280	valid
15.0ms	75×	body	640	valid
8.0ms	274×	body	80	valid
5.0ms	39×	body	320	valid
2.0ms	24×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize24.0ms

Local error

Found 1 expressions with local error:

7.3b	(- (exp x) (exp (- x)))

rewrite15.0ms

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` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

14.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify970.0ms

Counts

31 → 31

Iterations

Iter	Nodes
done	5001
2	671
1	170
0	73

prune124.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ (* (* 1/3 x) x) 2))
0.1b	(* (* 1/3 x) x)
0.3b	(* 1/3 x)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

3 → 64

Calls

3 calls:

71.0ms	(* x (+ (* (* 1/3 x) x) 2))
24.0ms	(* (* 1/3 x) x)
11.0ms	(* 1/3 x)

series177.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(* x (+ (* (* 1/3 x) x) 2))
27.0ms	(* (* 1/3 x) x)
17.0ms	(* 1/3 x)

simplify1.6s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1679
1	278
0	92

prune367.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
0.0b	(* (exp (- x)) (exp (- x)))
0.0b	(* (exp x) (exp x))
7.3b	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

94×	`exp-prod`
70×	`*-un-lft-identity`
50×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
24×	`distribute-rgt-neg-in`
20×	`distribute-lft-neg-in`
19×	`pow-prod-down`
18×	`pow1`
17×	`pow-sqr` `pow-prod-up`
16×	`times-frac`
10×	`add-cbrt-cube`
8×	`neg-mul-1`
7×	`exp-neg`
6×	`neg-sub0` `exp-diff` `swap-sqr` `associate-r` `associate-l` `add-exp-log` `add-log-exp` `difference-of-squares`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `frac-times` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`pow2` `pow-plus` `flip3--` `associate-l/` `prod-exp` `associate-r/` `associate-/r/` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `un-div-inv` `flip-+` `div-inv`

Counts

4 → 170

Calls

4 calls:

87.0ms	(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
54.0ms	(* (exp (- x)) (exp (- x)))
19.0ms	(* (exp x) (exp x))
20.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

series329.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
29.0ms	(* (exp (- x)) (exp (- x)))
26.0ms	(* (exp x) (exp x))
111.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

simplify3.4s

Counts

182 → 182

Iterations

Iter	Nodes
done	5000
2	4623
1	628
0	224

prune773.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (+ (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x))))) (/ (- (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x))))))
0.1b	(/ (- (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x)))))
1.0b	(/ (+ (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x)))))
7.3b	(- (exp x) (exp (- x)))

rewrite423.0ms

Algorithm

rewrite-expression-head

Rules

185×	`*-un-lft-identity`
145×	`add-sqr-sqrt`
138×	`times-frac`
86×	`sqrt-prod`
83×	`add-cube-cbrt`
41×	`associate-r`
35×	`distribute-lft-out`
34×	`associate-l`
20×	`add-cbrt-cube` `add-exp-log`
16×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r*`
9×	`pow1` `prod-diff` `associate-/l*` `unswap-sqr`
8×	`sqrt-div` `associate-/r/`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/`
3×	`fma-neg`
2×	`clear-num` `frac-2neg` `flip3--` `flip--` `pow-div`
1×	`frac-times` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 259

Calls

4 calls:

231.0ms	(* (/ (+ (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x))))) (/ (- (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x))))))
68.0ms	(/ (- (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x)))))
81.0ms	(/ (+ (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x)))))
25.0ms	(- (exp x) (exp (- x)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (/ (+ (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x))))) (/ (- (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x))))))
237.0ms	(/ (- (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x)))))
76.0ms	(/ (+ (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x)))))
68.0ms	(- (exp x) (exp (- x)))

simplify1.3s

Counts

271 → 271

Iterations

Iter	Nodes
done	5001
1	905
0	316

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.9s	3372×	body	1280	valid
1.2s	2496×	body	640	valid
475.0ms	8046×	body	80	valid
237.0ms	1247×	body	320	valid
73.0ms	637×	body	160	valid