Details

sample57.0ms

Algorithm

intervals

Results

23.0ms	112×	body	1280	valid
11.0ms	94×	body	640	valid
5.0ms	390×	pre	80	true
3.0ms	135×	body	80	valid
3.0ms	32×	body	320	valid
1.0ms	17×	body	160	valid

simplify25.0ms

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: 60.0b

localize4.0ms

Local error

Found 1 expressions with local error:

4.6b	(- (exp x) 1.0)

rewrite14.0ms

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)

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(- (exp x) 1.0)

simplify3.8s

Counts

31 → 31

Iterations

Useful iterations: 4 (1.5s)

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

prune56.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune2.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))
4.6b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite319.0ms

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:

14.0ms	(+ 1.0 (exp x))
184.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
116.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series99.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ 1.0 (exp x))
48.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
41.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify2.6s

Counts

98 → 98

Iterations

Useful iterations: done (2.6s)

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

prune252.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp 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)))) (+ 1.0 (exp x)))
4.8b	(- (exp (* x 4)) (pow 1.0 4))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 256

Calls

4 calls:

7.0ms	(+ 1.0 (exp x))
82.0ms	(/ (- (exp (* x 4)) (pow 1.0 4)) (fma 1.0 1.0 (exp (* 2 x))))
90.0ms	(/ (/ (- (exp (* x 4)) (pow 1.0 4)) (fma 1.0 1.0 (exp (* 2 x)))) (+ 1.0 (exp x)))
30.0ms	(- (exp (* x 4)) (pow 1.0 4))

series264.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ 1.0 (exp x))
94.0ms	(/ (- (exp (* x 4)) (pow 1.0 4)) (fma 1.0 1.0 (exp (* 2 x))))
123.0ms	(/ (/ (- (exp (* x 4)) (pow 1.0 4)) (fma 1.0 1.0 (exp (* 2 x)))) (+ 1.0 (exp x)))
33.0ms	(- (exp (* x 4)) (pow 1.0 4))

simplify2.2s

Counts

268 → 268

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	398	8584
1	931	8023
2	2612	7631
done	5001	7067

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes27.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
done	7	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

882.0ms	3411×	body	1280	valid
449.0ms	2550×	body	640	valid
281.0ms	12111×	pre	80	true
111.0ms	1241×	body	320	valid
96.0ms	4306×	body	80	valid
34.0ms	603×	body	160	valid