Details

sample79.0ms

Algorithm

intervals

Results

54.0ms	178×	body	1280	valid
6.0ms	284×	body	80	valid
5.0ms	36×	body	640	valid
2.0ms	20×	body	320	valid
1.0ms	19×	body	160	valid

simplify96.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	26	8
3	38	8
4	49	8
5	54	8
6	63	8
7	80	8
8	99	8
9	106	8
10	110	8
11	114	8
done	114	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
6.0b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite26.0ms

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:

4.0ms	(- (exp x) 2.0)
21.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
57.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.3s

Counts

41 → 41

Iterations

Useful iterations: 3 (345.0ms)

Iter	Nodes	Cost
0	93	511
1	212	465
2	564	445
3	1948	432
done	5000	432

prune98.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
3.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
5.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))

series282.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
137.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
48.0ms	(* 1/360 (pow x 6))
39.0ms	(* 1/12 (pow x 4))

simplify724.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	133	1068
1	334	934
2	939	888
done	5000	888

prune217.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 2.0)
0.0b	(+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))
0.1b	(pow (exp x) 3)
6.5b	(+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))) (exp (- x)))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube`
4×	`add-exp-log` `pow-pow`
3×	`+-commutative` `unpow-prod-down` `pow-unpow` `exp-prod` `flip3-+` `cube-prod` `sum-log` `flip-+`
2×	`associate-+l+` `frac-add` `distribute-lft-out`
1×	`neg-sub0` `distribute-rgt-in` `exp-neg` `cube-mult` `pow-to-exp` `associate-+l-` `distribute-lft-in` `exp-diff` `unpow3` `div-sub` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

3.0ms	(+ (exp x) 2.0)
11.0ms	(+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))
2.0ms	(pow (exp x) 3)
199.0ms	(+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))) (exp (- x)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (exp x) 2.0)
39.0ms	(+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))
24.0ms	(pow (exp x) 3)
200.0ms	(+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))) (exp (- x)))

simplify698.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (179.0ms)

Iter	Nodes	Cost
0	159	1231
1	399	1158
2	1377	1053
done	5000	1053

prune231.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp x) 3)
0.1b	(pow (exp x) 3)
0.1b	(pow (exp x) 3)
6.7b	(- (* (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))) (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x))))) (exp (* x -2)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow-pow`
9×	`unpow-prod-down` `pow-unpow` `exp-prod` `cube-prod`
7×	`pow1` `add-cbrt-cube`
6×	`add-log-exp`
4×	`add-exp-log`
3×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

4 → 91

Calls

4 calls:

4.0ms	(pow (exp x) 3)
2.0ms	(pow (exp x) 3)
2.0ms	(pow (exp x) 3)
59.0ms	(- (* (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))) (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x))))) (exp (* x -2)))

series467.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow (exp x) 3)
28.0ms	(pow (exp x) 3)
24.0ms	(pow (exp x) 3)
391.0ms	(- (* (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))) (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x))))) (exp (* x -2)))

simplify2.4s

Counts

103 → 103

Iterations

Useful iterations: 3 (657.0ms)

Iter	Nodes	Cost
0	109	1624
1	261	1470
2	775	1260
3	4464	1196
done	5000	1196

prune361.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s	5681×	body	1280	valid
187.0ms	1254×	body	640	valid
183.0ms	8261×	body	80	valid
54.0ms	603×	body	320	valid
17.0ms	295×	body	160	valid