Details

sample98.0ms

Algorithm

intervals

Results

46.0ms	114×	body	1280	valid
20.0ms	78×	body	640	valid
11.0ms	268×	body	80	valid
7.0ms	43×	body	320	valid
2.0ms	15×	body	160	valid

simplify17.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize7.0ms

Local error

Found 1 expressions with local error:

5.6b	(- (exp x) (exp (- x)))

rewrite16.0ms

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:

16.0ms

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify1.9s

Counts

17 → 17

Iterations

Useful iterations: 3 (129.0ms)

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

prune71.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite57.0ms

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:

23.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
13.0ms	(* 1/60 (pow x 5))
19.0ms	(* 1/3 (pow x 3))

series160.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
51.0ms	(* 1/60 (pow x 5))
44.0ms	(* 1/3 (pow x 3))

simplify3.2s

Counts

78 → 78

Iterations

Useful iterations: 3 (937.0ms)

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

prune234.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite54.0ms

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:

15.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
17.0ms	(* 1/60 (pow x 5))
18.0ms	(* 1/3 (pow x 3))

series259.0ms

Counts

3 → 9

Calls

3 calls:

155.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
59.0ms	(* 1/60 (pow x 5))
46.0ms	(* 1/3 (pow x 3))

simplify2.8s

Counts

76 → 76

Iterations

Useful iterations: 3 (767.0ms)

Iter	Nodes	Cost
0	113	734
1	273	633
2	771	597
3	3519	596
done	5001	596

prune235.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
5.6b	(- (exp (+ x x)) (exp (* x -2)))

rewrite203.0ms

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:

140.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
60.0ms	(- (exp (+ x x)) (exp (* x -2)))

series130.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
45.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify1.6s

Counts

72 → 72

Iterations

Useful iterations: 3 (607.0ms)

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

prune175.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes18.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b 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

sample4.0s

Algorithm

intervals

Results

1.7s	3479×	body	1280	valid
1.1s	2420×	body	640	valid
453.0ms	8123×	body	80	valid
309.0ms	1233×	body	320	valid
67.0ms	609×	body	160	valid