Details

sample65.0ms

Algorithm

intervals

Results

29.0ms	112×	body	1280	valid
13.0ms	83×	body	640	valid
6.0ms	263×	body	80	valid
3.0ms	31×	body	320	valid
1.0ms	23×	body	160	valid

simplify218.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	103	5
7	250	5
8	1252	5
9	5001	5
done	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize9.0ms

Local error

Found 1 expressions with local error:

7.7b	(- (exp x) (exp (- x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

13.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify575.0ms

Counts

17 → 17

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	100	120
1	257	108
2	763	107
3	4896	105
4	5001	105
done	5001	105

prune54.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1` `sum-log`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `associate-+r+` `flip3-+` `unpow3` `flip-+`

Counts

3 → 69

Calls

3 calls:

20.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
11.0ms	(* 1/60 (pow x 5))
15.0ms	(* 1/3 (pow x 3))

series149.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
47.0ms	(* 1/60 (pow x 5))
40.0ms	(* 1/3 (pow x 3))

simplify43.0ms

Counts

78 → 78

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	300	375
1	1301	346
2	5001	346
done	5001	346

prune169.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `flip3-+` `unpow3` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

9.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
11.0ms	(* 1/60 (pow x 5))
15.0ms	(* 1/3 (pow x 3))

series231.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
54.0ms	(* 1/60 (pow x 5))
38.0ms	(* 1/3 (pow x 3))

simplify43.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	268	317
1	1130	292
2	5001	291
done	5001	291

prune176.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) -2)
0.0b	(pow (exp x) 3)
0.0b	(pow (exp (- x)) 3)
7.5b	(- (pow (exp x) 3) (pow (exp (- x)) 3))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`unpow-prod-down`
19×	`pow-pow`
18×	`cube-prod`
17×	`add-cube-cbrt`
16×	`exp-prod` `difference-of-squares`
11×	`sqr-pow`
9×	`pow-unpow`
7×	`pow1`
6×	`add-cbrt-cube` `add-log-exp`
5×	`distribute-lft-out--`
4×	`add-exp-log`
3×	`distribute-lft-neg-in` `pow-to-exp` `distribute-rgt-neg-in` `pow-exp`
2×	`cube-div` `cube-mult` `unpow3` `rem-cube-cbrt`
1×	`difference-cubes` `neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `flip3--` `exp-diff` `diff-log` `flip--`

Counts

4 → 115

Calls

4 calls:

4.0ms	(pow (exp x) -2)
4.0ms	(pow (exp x) 3)
8.0ms	(pow (exp (- x)) 3)
39.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

series163.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(pow (exp x) -2)
27.0ms	(pow (exp x) 3)
26.0ms	(pow (exp (- x)) 3)
92.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

simplify75.0ms

Counts

127 → 127

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	380	681
1	1642	652
2	5002	604
done	5002	604

prune306.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes19.0ms

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	20	8
1	20	8
done	20	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

926.0ms	3366×	body	1280	valid
400.0ms	2480×	body	640	valid
185.0ms	8170×	body	80	valid
125.0ms	1286×	body	320	valid
35.0ms	596×	body	160	valid