Details

sample126.0ms

Algorithm

intervals

Results

53.0ms	114×	body	1280	valid
25.0ms	78×	body	640	valid
13.0ms	268×	body	80	valid
8.0ms	43×	body	320	valid
2.0ms	15×	body	160	valid

simplify29.0ms

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: 58.7b

localize8.0ms

Local error

Found 1 expressions with local error:

5.6b	(- (exp x) (exp (- x)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

49.0ms

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

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify2.5s

Counts

31 → 31

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	73	547
1	158	401
2	370	308
3	1377	253
done	5000	244

prune97.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify899.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	26	218
1	50	212
2	148	186
3	837	186
done	5001	186

prune59.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
5.6b	(- (exp (+ x x)) (exp (* x -2)))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
24×	`times-frac`
22×	`add-cube-cbrt`
12×	`prod-diff` `difference-of-squares`
10×	`exp-sum`
7×	`distribute-lft-out`
6×	`associate-/l*` `distribute-lft-out--`
4×	`add-exp-log` `fma-neg` `associate-/r*` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 86

Calls

2 calls:

190.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
106.0ms	(- (exp (+ x x)) (exp (* x -2)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
50.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify4.1s

Counts

92 → 92

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	166	2285
1	389	2016
2	1087	1772
3	4695	1645
done	5000	1645

prune311.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 8/3 (pow x 3) (fma 8/15 (pow x 5) (* 4 x)))
0.0b	(/ (fma 8/3 (pow x 3) (fma 8/15 (pow x 5) (* 4 x))) (+ (exp x) (exp (- x))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

2 → 45

Calls

2 calls:

0.0ms	(fma 8/3 (pow x 3) (fma 8/15 (pow x 5) (* 4 x)))
29.0ms	(/ (fma 8/3 (pow x 3) (fma 8/15 (pow x 5) (* 4 x))) (+ (exp x) (exp (- x))))

series179.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(fma 8/3 (pow x 3) (fma 8/15 (pow x 5) (* 4 x)))
109.0ms	(/ (fma 8/3 (pow x 3) (fma 8/15 (pow x 5) (* 4 x))) (+ (exp x) (exp (- x))))

simplify1.4s

Counts

51 → 51

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	109	1400
1	230	1366
2	651	1258
3	2338	1257
done	5000	1256

prune246.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes56.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	14	15
done	14	15

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.5s	3479×	body	1280	valid
683.0ms	8123×	body	80	valid
675.0ms	2420×	body	640	valid
270.0ms	1233×	body	320	valid
65.0ms	609×	body	160	valid