Details

sample75.0ms

Algorithm

intervals

Results

29.0ms	95×	body	1280	valid
17.0ms	89×	body	640	valid
9.0ms	275×	body	80	valid
5.0ms	42×	body	320	valid
2.0ms	22×	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: 58.6b

localize7.0ms

Local error

Found 1 expressions with local error:

6.6b	(- (exp x) (exp (- x)))

rewrite51.0ms

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:

51.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify1.7s

Counts

17 → 17

Iterations

Useful iterations: 3 (147.0ms)

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

prune63.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`associate-r`
12×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp` `add-cbrt-cube`
4×	`cube-prod` `sqr-pow`
2×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
1×	`cube-mult` `unpow3`

Counts

2 → 56

Calls

2 calls:

24.0ms	(* 1/60 (pow x 5))
18.0ms	(* 1/3 (pow x 3))

series167.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(* 1/60 (pow x 5))
71.0ms	(* 1/3 (pow x 3))

simplify2.0s

Counts

62 → 62

Iterations

Useful iterations: 3 (655.0ms)

Iter	Nodes	Cost
0	96	484
1	212	416
2	538	396
3	2224	395
done	5000	395

prune171.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (- (exp x) (exp (- x))))
6.6b	(log (exp (- (exp x) (exp (- x)))))
6.6b	(- (exp x) (exp (- x)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

45.0ms	(exp (- (exp x) (exp (- x))))
45.0ms	(log (exp (- (exp x) (exp (- x)))))
22.0ms	(- (exp x) (exp (- x)))

series147.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(exp (- (exp x) (exp (- x))))
51.0ms	(log (exp (- (exp x) (exp (- x)))))
44.0ms	(- (exp x) (exp (- x)))

simplify2.8s

Counts

60 → 60

Iterations

Useful iterations: 3 (158.0ms)

Iter	Nodes	Cost
0	82	603
1	158	540
2	337	488
3	771	487
4	2323	487
done	5000	487

prune164.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.4b remaining)

Error of 0.7b against oracle of 0.3b and baseline of 0.7b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.5s	3335×	body	1280	valid
758.0ms	2496×	body	640	valid
592.0ms	1277×	body	320	valid
484.0ms	7955×	body	80	valid
61.0ms	619×	body	160	valid