Details

sample95.0ms

Algorithm

intervals

Results

50.0ms	115×	body	1280	valid
17.0ms	75×	body	640	valid
9.0ms	291×	body	80	valid
5.0ms	43×	body	320	valid
1.0ms	14×	body	160	valid

simplify16.0ms

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: 58.1b

localize7.0ms

Local error

Found 1 expressions with local error:

3.8b	(- (exp x) (exp (- x)))

rewrite18.0ms

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:

17.0ms

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

series413.0ms

Counts

1 → 3

Calls

1 calls:

413.0ms

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

simplify2.4s

Counts

31 → 31

Iterations

Useful iterations: done (2.4s)

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

prune108.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

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

series268.0ms

Counts

2 → 6

Calls

2 calls:

187.0ms	(fma 1/60 (pow x 5) (* 2 x))
81.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify918.0ms

Counts

26 → 26

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	36	358
1	60	349
2	175	307
3	971	307
done	5000	307

prune128.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
4.2b	(- (exp (+ x x)) (exp (* x -2)))

rewrite251.0ms

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:

164.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
83.0ms	(- (exp (+ x x)) (exp (* x -2)))

series163.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
56.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify4.2s

Counts

92 → 92

Iterations

Useful iterations: 3 (1.8s)

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

prune293.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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	13	15
1	14	15
done	14	15

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.6s	3379×	body	1280	valid
722.0ms	8172×	body	80	valid
681.0ms	2482×	body	640	valid
189.0ms	1237×	body	320	valid
60.0ms	621×	body	160	valid