Details

sample63.0ms

Algorithm

intervals

Results

31.0ms	113×	body	1280	valid
12.0ms	74×	body	640	valid
6.0ms	238×	body	80	valid
3.0ms	29×	body	320	valid
2.0ms	29×	body	160	valid

simplify31.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	24	8
3	32	8
4	37	8
5	43	8
6	58	8
7	101	8
8	248	8
9	1690	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.1b

localize6.0ms

Local error

Found 1 expressions with local error:

7.3b	(- (exp x) (exp (- x)))

rewrite6.0ms

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:

6.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify14.9s

Counts

17 → 17

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	46	185
1	102	176
2	251	158
3	724	157
4	4429	157
done	5000	157

prune47.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))
0.2b	(* 1/3 (pow x 3))

rewrite25.0ms

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:

11.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms	(* 1/60 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series140.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
49.0ms	(* 1/60 (pow x 5))
35.0ms	(* 1/3 (pow x 3))

simplify600.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (125.0ms)

Iter	Nodes	Cost
0	122	847
1	317	750
2	1203	704
done	5000	704

prune166.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (- (exp x) (exp (- x))) 3)
0.1b	(cbrt (pow (- (exp x) (exp (- x))) 3))
7.3b	(- (exp x) (exp (- x)))

rewrite27.0ms

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:

10.0ms	(pow (- (exp x) (exp (- x))) 3)
10.0ms	(cbrt (pow (- (exp x) (exp (- x))) 3))
6.0ms	(- (exp x) (exp (- x)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(pow (- (exp x) (exp (- x))) 3)
35.0ms	(cbrt (pow (- (exp x) (exp (- x))) 3))
39.0ms	(- (exp x) (exp (- x)))

simplify2.9s

Counts

79 → 79

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	107	1140
1	260	920
2	823	835
3	4562	828
done	5000	824

prune129.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

7.3b	(- (exp x) (exp (- x)))

rewrite6.0ms

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:

6.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify15.3s

Counts

17 → 17

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	46	185
1	102	176
2	251	158
3	724	157
4	4429	157
done	5000	157

prune29.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes49.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b 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

sample1.9s

Algorithm

intervals

Results

939.0ms	3428×	body	1280	valid
406.0ms	2481×	body	640	valid
189.0ms	8248×	body	80	valid
123.0ms	1216×	body	320	valid
36.0ms	587×	body	160	valid