Details

sample92.0ms

Algorithm

intervals

Results

43.0ms	114×	body	1280	valid
16.0ms	69×	body	640	valid
9.0ms	265×	body	80	valid
7.0ms	45×	body	320	valid
2.0ms	17×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	24	8
3	30	8
4	34	8
done	34	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.7b

localize25.0ms

Local error

Found 1 expressions with local error:

6.1b	(- (exp x) (exp (- x)))

rewrite22.0ms

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:

22.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify745.0ms

Counts

17 → 17

Iterations

Useful iterations: 3 (236.0ms)

Iter	Nodes	Cost
0	46	185
1	109	176
2	330	158
3	1317	157
done	5001	157

prune63.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 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)) (* 2 x))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

31.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
9.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
21.0ms	(* 1/60 (pow x 5))
19.0ms	(* 1/3 (pow x 3))

series339.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
154.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
51.0ms	(* 1/60 (pow x 5))
58.0ms	(* 1/3 (pow x 3))

simplify862.0ms

Counts

92 → 92

Iterations

Useful iterations: done (859.0ms)

Iter	Nodes	Cost
0	137	1055
1	388	917
2	1649	873
done	5000	872

prune297.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

12.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
34.0ms	(+ (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 2 x))
12.0ms	(* 1/60 (pow x 5))
17.0ms	(* 1/3 (pow x 3))

series395.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
94.0ms	(+ (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 2 x))
82.0ms	(* 1/60 (pow x 5))
41.0ms	(* 1/3 (pow x 3))

simplify896.0ms

Counts

92 → 92

Iterations

Useful iterations: done (894.0ms)

Iter	Nodes	Cost
0	137	1095
1	381	963
2	1527	919
done	5001	918

prune256.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes43.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	20	17
done	20	17

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.8s	3315×	body	1280	valid
635.0ms	2485×	body	640	valid
508.0ms	1272×	body	320	valid
504.0ms	8265×	body	80	valid
65.0ms	642×	body	160	valid