Details

sample65.0ms

Algorithm

intervals

Results

30.0ms	109×	body	1280	valid
11.0ms	70×	body	640	valid
6.0ms	259×	body	80	valid
5.0ms	50×	body	320	valid
1.0ms	17×	body	160	valid

simplify219.0ms

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: 57.4b

localize7.0ms

Local error

Found 1 expressions with local error:

4.7b	(- (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)))

series41.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify592.0ms

Counts

17 → 17

Iterations

Useful iterations: 3 (29.0ms)

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

prune50.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite47.0ms

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:

22.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
11.0ms	(* 1/60 (pow x 5))
12.0ms	(* 1/3 (pow x 3))

series143.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
52.0ms	(* 1/60 (pow x 5))
36.0ms	(* 1/3 (pow x 3))

simplify44.0ms

Counts

78 → 78

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	300	387
1	1298	353
2	5001	353
done	5001	353

prune165.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

4.7b	(- (exp x) (exp (* -1 x)))

rewrite11.0ms

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:

11.0ms

(- (exp x) (exp (* -1 x)))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(- (exp x) (exp (* -1 x)))

simplify76.0ms

Counts

17 → 17

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	94	120
1	206	111
2	527	110
3	1967	110
4	5001	110
done	5001	110

prune31.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x))))) (+ (exp x) (exp (* -1 x))))
4.8b	(+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
20×	`times-frac`
18×	`distribute-lft-out`
13×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-rgt-neg-in` `add-log-exp`
5×	`associate-/l*`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
3×	`flip3-+` `div-sub` `flip-+`
2×	`pow1` `neg-sub0` `associate-+r-` `unsub-neg` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `neg-log` `clear-num` `div-inv`

Counts

2 → 65

Calls

2 calls:

170.0ms	(/ (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x))))) (+ (exp x) (exp (* -1 x))))
60.0ms	(+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))

series131.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(/ (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x))))) (+ (exp x) (exp (* -1 x))))
46.0ms	(+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))

simplify45.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	291	1128
1	1112	956
2	5001	918
done	5001	918

prune145.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.4b remaining)

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

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

910.0ms	3341×	body	1280	valid
406.0ms	2528×	body	640	valid
184.0ms	8210×	body	80	valid
123.0ms	1244×	body	320	valid
36.0ms	612×	body	160	valid