Details

sample41.0ms

Algorithm

intervals

Results

17.0ms	122×	body	1280	valid
6.0ms	74×	body	640	valid
4.0ms	398×	pre	80	true
2.0ms	37×	body	320	valid
2.0ms	148×	body	80	valid
1.0ms	17×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	6	4
2	7	4
done	7	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize3.0ms

Local error

Found 1 expressions with local error:

5.2b	(- (exp x) 1.0)

rewrite15.0ms

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:

13.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify2.3s

Counts

31 → 31

Iterations

Useful iterations: 4 (837.0ms)

Iter	Nodes	Cost
0	66	376
1	142	288
2	272	231
3	799	204
4	2411	175
done	5001	175

prune56.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune4.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
5.2b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
20×	`times-frac`
17×	`add-cube-cbrt`
12×	`difference-of-squares`
8×	`exp-sum`
7×	`distribute-lft-out` `add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`fma-neg` `prod-diff` `associate-/r*`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
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 → 89

Calls

3 calls:

9.0ms	(+ 1.0 (exp x))
137.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
63.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series71.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ 1.0 (exp x))
42.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
21.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify1.7s

Counts

98 → 98

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	147	1493
1	354	1441
2	995	1308
3	3234	1293
done	5000	1287

prune178.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (pow x 3) 0.16666666666666663 (* x (fma x 0.5 1.0)))
0.0b	(* x (fma x 0.5 1.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

1.0ms	(fma (pow x 3) 0.16666666666666663 (* x (fma x 0.5 1.0)))
8.0ms	(* x (fma x 0.5 1.0))

series103.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(fma (pow x 3) 0.16666666666666663 (* x (fma x 0.5 1.0)))
62.0ms	(* x (fma x 0.5 1.0))

simplify609.0ms

Counts

38 → 38

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	62	414
1	114	400
2	282	344
3	1113	344
done	5000	344

prune78.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes56.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
done	7	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

474.0ms	3430×	body	1280	valid
204.0ms	2508×	body	640	valid
109.0ms	12022×	pre	80	true
69.0ms	1243×	body	320	valid
51.0ms	4190×	body	80	valid
21.0ms	651×	body	160	valid