Details

sample98.0ms

Algorithm

intervals

Results

36.0ms	95×	body	1280	valid
20.0ms	90×	body	640	valid
16.0ms	46×	body	320	valid
9.0ms	239×	body	80	valid
1.0ms	16×	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: 58.1b

localize10.0ms

Local error

Found 1 expressions with local error:

5.2b	(- (exp x) (exp (- x)))

rewrite21.0ms

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:

20.0ms

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

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify742.0ms

Counts

17 → 17

Iterations

Useful iterations: 3 (217.0ms)

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

prune97.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (pow x 3))

rewrite30.0ms

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:

12.0ms	(* 1/60 (pow x 5))
17.0ms	(* 1/3 (pow x 3))

series137.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(* 1/60 (pow x 5))
47.0ms	(* 1/3 (pow x 3))

simplify501.0ms

Counts

62 → 62

Iterations

Useful iterations: done (499.0ms)

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

prune136.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp (- x)) (exp x)))
5.2b	(- (exp (+ x x)) (exp (* x -2)))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 66

Calls

2 calls:

201.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp (- x)) (exp x)))
59.0ms	(- (exp (+ x x)) (exp (* x -2)))

series176.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp (- x)) (exp x)))
52.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify1.1s

Counts

72 → 72

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	136	1662
1	351	1615
2	1514	1485
done	5000	1452

prune224.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (+ x x)) (exp (* x -2))))
5.2b	(- (exp (+ x x)) (exp (* x -2)))
5.2b	(- (exp (+ x x)) (exp (* x -2)))
5.2b	(- (exp (+ x x)) (exp (* x -2)))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

33.0ms	(cbrt (- (exp (+ x x)) (exp (* x -2))))
55.0ms	(- (exp (+ x x)) (exp (* x -2)))
68.0ms	(- (exp (+ x x)) (exp (* x -2)))
63.0ms	(- (exp (+ x x)) (exp (* x -2)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt (- (exp (+ x x)) (exp (* x -2))))
67.0ms	(- (exp (+ x x)) (exp (* x -2)))
55.0ms	(- (exp (+ x x)) (exp (* x -2)))
65.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify1.8s

Counts

73 → 73

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	88	1178
1	187	1139
2	602	934
3	2817	893
done	5000	874

prune401.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b 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

sample4.0s

Algorithm

intervals

Results

1.7s	3351×	body	1280	valid
752.0ms	2525×	body	640	valid
736.0ms	8153×	body	80	valid
283.0ms	1236×	body	320	valid
112.0ms	630×	body	160	valid