Details

sample122.0ms

Algorithm

intervals

Results

52.0ms	107×	body	1280	valid
21.0ms	73×	body	640	valid
13.0ms	287×	body	80	valid
10.0ms	51×	body	320	valid
2.0ms	16×	body	160	valid

simplify57.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize15.0ms

Local error

Found 1 expressions with local error:

5.0b	(- (exp x) (exp (- x)))

rewrite25.0ms

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:

24.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify1.0s

Counts

17 → 17

Iterations

Useful iterations: 3 (286.0ms)

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

prune103.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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:

23.0ms	(* 1/60 (pow x 5))
26.0ms	(* 1/3 (pow x 3))

series616.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(* 1/60 (pow x 5))
519.0ms	(* 1/3 (pow x 3))

simplify885.0ms

Counts

62 → 62

Iterations

Useful iterations: done (882.0ms)

Iter	Nodes	Cost
0	96	484
1	236	416
2	776	396
done	5000	395

prune350.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

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)))
4.9b	(- (exp (+ x x)) (exp (* x -2)))

rewrite424.0ms

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:

37.0ms	(+ (exp (- x)) (exp x))
278.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp (- x)) (exp x)))
104.0ms	(- (exp (+ x x)) (exp (* x -2)))

series259.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (exp (- x)) (exp x))
147.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp (- x)) (exp x)))
73.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify1.2s

Counts

87 → 87

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	150	1819
1	385	1764
2	1502	1615
done	5000	1582

prune535.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (exp (- x)) (exp x)) (+ (exp (+ x x)) (exp (* x -2))))
0.0b	(* (exp (* x -2)) (exp (* x -2)))
0.0b	(* (exp (+ x x)) (exp (+ x x)))
4.8b	(- (* (exp (+ x x)) (exp (+ x x))) (* (exp (* x -2)) (exp (* x -2))))

rewrite857.0ms

Algorithm

rewrite-expression-head

Rules

128×	`exp-prod`
94×	`*-un-lft-identity`
76×	`add-sqr-sqrt`
44×	`add-cube-cbrt`
32×	`distribute-lft-out`
29×	`pow-prod-down`
24×	`distribute-rgt-out` `pow-sqr` `pow-prod-up`
20×	`pow1`
18×	`add-log-exp`
14×	`distribute-lft1-in` `distribute-rgt1-in`
12×	`exp-to-pow`
11×	`associate-r` `associate-l`
10×	`count-2` `add-cbrt-cube`
8×	`exp-sum`
7×	`swap-sqr`
6×	`add-exp-log` `flip3-+` `flip-+` `unswap-sqr`
4×	`frac-times`
3×	`prod-exp` `*-commutative` `cbrt-unprod`
2×	`pow2` `pow-plus` `associate-r/` `associate-l/`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `diff-log` `flip--` `difference-of-squares`

Counts

4 → 169

Calls

4 calls:

367.0ms	(* (+ (exp (- x)) (exp x)) (+ (exp (+ x x)) (exp (* x -2))))
45.0ms	(* (exp (* x -2)) (exp (* x -2)))
226.0ms	(* (exp (+ x x)) (exp (+ x x)))
201.0ms	(- (* (exp (+ x x)) (exp (+ x x))) (* (exp (* x -2)) (exp (* x -2))))

series313.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (+ (exp (- x)) (exp x)) (+ (exp (+ x x)) (exp (* x -2))))
30.0ms	(* (exp (* x -2)) (exp (* x -2)))
33.0ms	(* (exp (+ x x)) (exp (+ x x)))
139.0ms	(- (* (exp (+ x x)) (exp (+ x x))) (* (exp (* x -2)) (exp (* x -2))))

simplify4.1s

Counts

181 → 181

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	224	2468
1	690	1803
2	4016	1519
done	5000	1497

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.4s	3384×	body	1280	valid
1.2s	2532×	body	640	valid
988.0ms	8202×	body	80	valid
351.0ms	1251×	body	320	valid
88.0ms	608×	body	160	valid