Details

sample161.0ms

Algorithm

intervals

Results

106.0ms	175×	body	1280	valid
14.0ms	39×	body	640	valid
12.0ms	233×	body	80	valid
5.0ms	26×	body	320	valid
2.0ms	11×	body	160	valid

simplify180.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `add-cube-cbrt` `sub-neg` `associate-+l+` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

12.0ms	(- (exp x) 2.0)
78.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(- (exp x) 2.0)
69.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.8s

Counts

41 → 41

Iterations

Useful iterations: 3 (628.0ms)

Iter	Nodes	Cost
0	93	511
1	204	465
2	579	445
3	2107	432
done	5000	432

prune163.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

11.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
34.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
18.0ms	(* 1/360 (pow x 6))
24.0ms	(* 1/12 (pow x 4))

series361.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
64.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
71.0ms	(* 1/360 (pow x 6))
48.0ms	(* 1/12 (pow x 4))

simplify4.4s

Counts

87 → 87

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	133	1068
1	331	934
2	952	888
3	4364	870
done	5001	868

prune293.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `associate-+r+` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

2 → 31

Calls

2 calls:

23.0ms	(- (exp (- x)) 2.0)
82.0ms	(+ (exp x) (- (exp (- x)) 2.0))

series125.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(- (exp (- x)) 2.0)
108.0ms	(+ (exp x) (- (exp (- x)) 2.0))

simplify1.6s

Counts

37 → 37

Iterations

Useful iterations: 3 (439.0ms)

Iter	Nodes	Cost
0	77	392
1	178	364
2	466	344
3	1738	343
done	5001	343

prune80.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (exp (- x)) 2.0)
0.0b	(/ (- (exp (+ x x)) (* (- (exp (- x)) 2.0) (- (exp (- x)) 2.0))) (- (exp x) (- (exp (- x)) 2.0)))
0.0b	(* (- (exp (- x)) 2.0) (- (exp (- x)) 2.0))
6.4b	(- (exp (+ x x)) (* (- (exp (- x)) 2.0) (- (exp (- x)) 2.0)))

rewrite628.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
30×	`times-frac`
27×	`difference-of-squares`
25×	`distribute-lft-out--`
21×	`add-cube-cbrt`
11×	`pow1`
10×	`flip3--` `flip--`
8×	`add-exp-log` `exp-sum` `add-cbrt-cube` `add-log-exp`
7×	`swap-sqr`
6×	`sub-neg` `associate-/r*`
5×	`associate-r` `associate-l` `associate-/l*`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `associate--r+`
2×	`diff-log` `associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 135

Calls

4 calls:

28.0ms	(- (exp (- x)) 2.0)
315.0ms	(/ (- (exp (+ x x)) (* (- (exp (- x)) 2.0) (- (exp (- x)) 2.0))) (- (exp x) (- (exp (- x)) 2.0)))
165.0ms	(* (- (exp (- x)) 2.0) (- (exp (- x)) 2.0))
114.0ms	(- (exp (+ x x)) (* (- (exp (- x)) 2.0) (- (exp (- x)) 2.0)))

series410.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (exp (- x)) 2.0)
227.0ms	(/ (- (exp (+ x x)) (* (- (exp (- x)) 2.0) (- (exp (- x)) 2.0))) (- (exp x) (- (exp (- x)) 2.0)))
49.0ms	(* (- (exp (- x)) 2.0) (- (exp (- x)) 2.0))
115.0ms	(- (exp (+ x x)) (* (- (exp (- x)) 2.0) (- (exp (- x)) 2.0)))

simplify1.7s

Counts

147 → 147

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	233	3756
1	568	3057
2	1974	2670
done	5001	2629

prune531.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	17	15
done	17	15

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.7s	5579×	body	1280	valid
399.0ms	1263×	body	640	valid
363.0ms	7977×	body	80	valid
150.0ms	667×	body	320	valid
33.0ms	323×	body	160	valid