Details

sample114.0ms

Algorithm

intervals

Results

53.0ms	115×	body	1280	valid
23.0ms	65×	body	640	valid
11.0ms	243×	body	80	valid
6.0ms	38×	body	320	valid
3.0ms	26×	body	160	valid

simplify25.0ms

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: 57.2b

localize11.0ms

Local error

Found 1 expressions with local error:

7.2b	(- (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:

21.0ms

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

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

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

simplify819.0ms

Counts

17 → 17

Iterations

Useful iterations: 3 (213.0ms)

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

prune66.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

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))

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-+r+` `unpow3`

Counts

4 → 80

Calls

4 calls:

39.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
10.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
12.0ms	(* 1/60 (pow x 5))
14.0ms	(* 1/3 (pow x 3))

series324.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
148.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
68.0ms	(* 1/60 (pow x 5))
46.0ms	(* 1/3 (pow x 3))

simplify992.0ms

Counts

92 → 92

Iterations

Useful iterations: done (989.0ms)

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

prune298.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (- (exp x) (exp (- x))) 3)
0.3b	(cbrt (pow (- (exp x) (exp (- x))) 3))
7.2b	(- (exp x) (exp (- x)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-prod`
10×	`unpow-prod-down` `cube-prod`
9×	`add-cube-cbrt`
5×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 70

Calls

3 calls:

24.0ms	(pow (- (exp x) (exp (- x))) 3)
39.0ms	(cbrt (pow (- (exp x) (exp (- x))) 3))
24.0ms	(- (exp x) (exp (- x)))

series196.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(pow (- (exp x) (exp (- x))) 3)
56.0ms	(cbrt (pow (- (exp x) (exp (- x))) 3))
51.0ms	(- (exp x) (exp (- x)))

simplify1.8s

Counts

79 → 79

Iterations

Useful iterations: 2 (319.0ms)

Iter	Nodes	Cost
0	107	1140
1	318	920
2	1709	835
done	5000	835

prune190.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b 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

sample4.6s

Algorithm

intervals

Results

2.3s	3446×	body	1280	valid
924.0ms	2477×	body	640	valid
501.0ms	8033×	body	80	valid
273.0ms	1220×	body	320	valid
132.0ms	607×	body	160	valid