Details

sample123.0ms

Algorithm

intervals

Results

58.0ms	109×	body	1280	valid
21.0ms	70×	body	640	valid
11.0ms	259×	body	80	valid
10.0ms	50×	body	320	valid
2.0ms	17×	body	160	valid

simplify34.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize18.0ms

Local error

Found 1 expressions with local error:

4.7b	(- (exp x) (exp (- x)))

rewrite31.0ms

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:

30.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify1.9s

Counts

17 → 17

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	46	185
1	100	176
2	231	158
3	532	157
4	1593	157
done	5000	157

prune82.0ms

Pruning

2 alts after pruning (2 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))

rewrite74.0ms

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:

40.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
13.0ms	(* 1/60 (pow x 5))
17.0ms	(* 1/3 (pow x 3))

series254.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
84.0ms	(* 1/60 (pow x 5))
66.0ms	(* 1/3 (pow x 3))

simplify3.6s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	122	847
1	303	750
2	948	704
3	4999	703
done	5002	703

prune208.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
4.8b	(- (exp (+ x x)) (exp (* x -2)))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
24×	`times-frac`
14×	`add-cube-cbrt`
12×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`exp-sum` `associate-/l*` `distribute-lft-out--`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 66

Calls

2 calls:

185.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
81.0ms	(- (exp (+ x x)) (exp (* x -2)))

series130.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
41.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify1.7s

Counts

72 → 72

Iterations

Useful iterations: 3 (727.0ms)

Iter	Nodes	Cost
0	135	1662
1	323	1615
2	834	1501
3	2640	1447
done	5000	1447

prune239.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* x -6))
0.1b	(pow (exp x) -4)
0.1b	(pow (exp x) 6)
5.0b	(- (pow (exp x) 6) (exp (* x -6)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt`
8×	`pow-pow` `add-log-exp`
7×	`unpow-prod-down` `exp-prod`
6×	`pow1` `pow-unpow`
4×	`add-exp-log` `add-cbrt-cube`
3×	`difference-of-squares` `sqr-pow`
2×	`pow-to-exp` `pow-exp`
1×	`sub-neg` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--`

Counts

4 → 66

Calls

4 calls:

7.0ms	(exp (* x -6))
8.0ms	(pow (exp x) -4)
7.0ms	(pow (exp x) 6)
45.0ms	(- (pow (exp x) 6) (exp (* x -6)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(exp (* x -6))
50.0ms	(pow (exp x) -4)
49.0ms	(pow (exp x) 6)
114.0ms	(- (pow (exp x) 6) (exp (* x -6)))

simplify1.2s

Counts

78 → 78

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	126	678
1	259	606
2	542	571
3	1534	561
done	5000	555

prune407.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.4s	3341×	body	1280	valid
639.0ms	2528×	body	640	valid
287.0ms	8210×	body	80	valid
197.0ms	1244×	body	320	valid
55.0ms	612×	body	160	valid