Details

sample131.0ms

Algorithm

intervals

Results

90.0ms	181×	body	1280	valid
12.0ms	43×	body	640	valid
10.0ms	251×	body	80	valid
3.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid

simplify2.4s

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.9b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp (- x)) 2.0)
3.9b	(+ (- (exp (- x)) 2.0) (exp x))

rewrite119.0ms

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:

17.0ms	(- (exp (- x)) 2.0)
101.0ms	(+ (- (exp (- x)) 2.0) (exp x))

series128.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(- (exp (- x)) 2.0)
96.0ms	(+ (- (exp (- x)) 2.0) (exp x))

simplify2.1s

Counts

37 → 37

Iterations

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

prune138.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`add-exp-log`
11×	`add-log-exp`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
8×	`unpow-prod-down` `add-cbrt-cube`
6×	`prod-exp` `unswap-sqr`
4×	`pow1` `sum-log` `sqr-pow`
2×	`pow-to-exp` `+-commutative` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`associate-+r+`

Counts

4 → 74

Calls

4 calls:

7.0ms	(+ (* (pow x 6) 1/360) (* 1/12 (pow x 4)))
16.0ms	(+ (* x x) (+ (* (pow x 6) 1/360) (* 1/12 (pow x 4))))
10.0ms	(* (pow x 6) 1/360)
13.0ms	(* 1/12 (pow x 4))

series391.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(+ (* (pow x 6) 1/360) (* 1/12 (pow x 4)))
86.0ms	(+ (* x x) (+ (* (pow x 6) 1/360) (* 1/12 (pow x 4))))
68.0ms	(* (pow x 6) 1/360)
42.0ms	(* 1/12 (pow x 4))

simplify2.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	2189
1	365
0	135

prune421.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 4) 1/12)
0.1b	(* (pow x 4) 1/12)
28.5b	(sqrt (+ (+ (* x x) (* (pow x 4) 1/12)) (* (pow x 6) 1/360)))
28.5b	(sqrt (+ (+ (* x x) (* (pow x 4) 1/12)) (* (pow x 6) 1/360)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
14×	`associate-l` `add-exp-log`
12×	`*-un-lft-identity` `add-cube-cbrt`
8×	`unpow-prod-down` `add-cbrt-cube`
6×	`pow1` `associate-r` `prod-exp` `sqrt-prod` `unswap-sqr`
4×	`sqrt-div` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 80

Calls

4 calls:

9.0ms	(* (pow x 4) 1/12)
9.0ms	(* (pow x 4) 1/12)
38.0ms	(sqrt (+ (+ (* x x) (* (pow x 4) 1/12)) (* (pow x 6) 1/360)))
45.0ms	(sqrt (+ (+ (* x x) (* (pow x 4) 1/12)) (* (pow x 6) 1/360)))

series386.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (pow x 4) 1/12)
44.0ms	(* (pow x 4) 1/12)
142.0ms	(sqrt (+ (+ (* x x) (* (pow x 4) 1/12)) (* (pow x 6) 1/360)))
150.0ms	(sqrt (+ (+ (* x x) (* (pow x 4) 1/12)) (* (pow x 6) 1/360)))

simplify786.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1143
1	266
0	110

prune605.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.4b	(+ (exp (- x)) (- (exp x) 2.0))

rewrite42.0ms

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-+r+` `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` `associate-+r-` `flip3-+` `flip-+` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

8.0ms	(- (exp x) 2.0)
33.0ms	(+ (exp (- x)) (- (exp x) 2.0))

series101.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(- (exp x) 2.0)
84.0ms	(+ (exp (- x)) (- (exp x) 2.0))

simplify636.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
2	1056
1	229
0	92

prune151.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample4.7s

Algorithm

intervals

Results

3.0s	5650×	body	1280	valid
781.0ms	8188×	body	80	valid
367.0ms	1220×	body	640	valid
134.0ms	636×	body	320	valid
36.0ms	333×	body	160	valid