Details

sample110.0ms

Algorithm

intervals

Results

43.0ms	98×	body	1280	valid
25.0ms	91×	body	640	valid
15.0ms	235×	body	80	valid
6.0ms	33×	body	320	valid
3.0ms	27×	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: 58.1b

localize7.0ms

Local error

Found 1 expressions with local error:

7.4b	(- (exp x) (exp (- x)))

rewrite28.0ms

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:

27.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify1.9s

Counts

17 → 17

Iterations

Useful iterations: 3 (168.0ms)

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

prune63.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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))

rewrite91.0ms

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:

41.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
24.0ms	(* 1/60 (pow x 5))
24.0ms	(* 1/3 (pow x 3))

series193.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
68.0ms	(* 1/60 (pow x 5))
48.0ms	(* 1/3 (pow x 3))

simplify3.7s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.2s)

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

prune248.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

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:

11.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
13.0ms	(* 1/60 (pow x 5))
16.0ms	(* 1/3 (pow x 3))

series315.0ms

Counts

3 → 9

Calls

3 calls:

187.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
71.0ms	(* 1/60 (pow x 5))
57.0ms	(* 1/3 (pow x 3))

simplify3.1s

Counts

76 → 76

Iterations

Useful iterations: 3 (944.0ms)

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

prune284.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
7.6b	(- (exp (+ x x)) (exp (* x -2)))

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

14.0ms	(+ (exp x) (exp (- x)))
225.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
103.0ms	(- (exp (+ x x)) (exp (* x -2)))

series232.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (exp x) (exp (- x)))
133.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
70.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify2.1s

Counts

87 → 87

Iterations

Useful iterations: 3 (966.0ms)

Iter	Nodes	Cost
0	149	1819
1	359	1763
2	913	1613
3	2809	1576
done	5000	1576

prune353.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b 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

sample4.6s

Algorithm

intervals

Results

2.2s	3381×	body	1280	valid
1.1s	2417×	body	640	valid
451.0ms	8091×	body	80	valid
328.0ms	1242×	body	320	valid
74.0ms	678×	body	160	valid