Details

sample84.0ms

Algorithm

intervals

Results

33.0ms	115×	body	1280	valid
14.0ms	70×	body	640	valid
6.0ms	359×	pre	80	true
6.0ms	45×	body	320	valid
3.0ms	106×	body	80	valid
2.0ms	23×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize10.0ms

Local error

Found 1 expressions with local error:

5.8b	(- (exp x) 1.0)

rewrite29.0ms

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:

27.0ms

(- (exp x) 1.0)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- (exp x) 1.0)

simplify2.5s

Counts

31 → 31

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	66	376
1	150	291
2	425	231
3	2023	186
done	5001	175

prune148.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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

prune6.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
5.8b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite416.0ms

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:

19.0ms	(+ (exp x) 1.0)
263.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
127.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series142.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (exp x) 1.0)
88.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
38.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify1.6s

Counts

98 → 98

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	145	1493
1	370	1442
2	1555	1310
done	5000	1198

prune563.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1.0 1.0 (exp (* 2 x)))
0.0b	(/ (- (exp (* x 4)) (pow 1.0 4)) (fma 1.0 1.0 (exp (* 2 x))))
0.0b	(/ (/ (- (exp (* x 4)) (pow 1.0 4)) (fma 1.0 1.0 (exp (* 2 x)))) (+ (exp x) 1.0))
5.6b	(- (exp (* x 4)) (pow 1.0 4))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

226×	`times-frac`
211×	`add-sqr-sqrt`
203×	`*-un-lft-identity`
111×	`add-cube-cbrt`
60×	`difference-of-squares`
32×	`associate-/l*`
29×	`unpow-prod-down`
26×	`distribute-lft-out`
23×	`sqr-pow`
21×	`prod-diff`
20×	`distribute-lft-out--`
11×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*` `div-inv`
6×	`add-log-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`fma-neg` `div-sub` `associate-/l/`
2×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+` `fma-udef`

Counts

4 → 249

Calls

4 calls:

1.0ms	(fma 1.0 1.0 (exp (* 2 x)))
81.0ms	(/ (- (exp (* x 4)) (pow 1.0 4)) (fma 1.0 1.0 (exp (* 2 x))))
102.0ms	(/ (/ (- (exp (* x 4)) (pow 1.0 4)) (fma 1.0 1.0 (exp (* 2 x)))) (+ (exp x) 1.0))
38.0ms	(- (exp (* x 4)) (pow 1.0 4))

series729.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma 1.0 1.0 (exp (* 2 x)))
519.0ms	(/ (- (exp (* x 4)) (pow 1.0 4)) (fma 1.0 1.0 (exp (* 2 x))))
142.0ms	(/ (/ (- (exp (* x 4)) (pow 1.0 4)) (fma 1.0 1.0 (exp (* 2 x)))) (+ (exp x) 1.0))
33.0ms	(- (exp (* x 4)) (pow 1.0 4))

simplify3.0s

Counts

261 → 261

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	389	8584
1	968	8034
2	4050	7630
done	5000	7542

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes50.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
done	7	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	3384×	body	1280	valid
481.0ms	2466×	body	640	valid
277.0ms	11974×	pre	80	true
249.0ms	1307×	body	320	valid
111.0ms	4175×	body	80	valid
45.0ms	642×	body	160	valid