Details

sample83.0ms

Algorithm

intervals

Results

34.0ms	113×	body	1280	valid
14.0ms	77×	body	640	valid
7.0ms	394×	pre	80	true
4.0ms	146×	body	80	valid
4.0ms	34×	body	320	valid
2.0ms	24×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize7.0ms

Local error

Found 1 expressions with local error:

6.5b	(- (exp x) 1.0)

rewrite27.0ms

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:

25.0ms

(- (exp x) 1.0)

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(- (exp x) 1.0)

simplify3.5s

Counts

31 → 31

Iterations

Useful iterations: 4 (1.2s)

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

prune108.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x 1/6 1/2)

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:

1.0ms

(fma x 1/6 1/2)

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(fma x 1/6 1/2)

simplify7.2s

Counts

13 → 13

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	16	78
1	20	75
2	42	67
3	136	67
4	405	67
5	1595	67
6	4573	67
done	5000	67

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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)))
6.7b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite296.0ms

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:

8.0ms	(+ 1.0 (exp x))
195.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
90.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series74.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ 1.0 (exp x))
45.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
21.0ms	(- (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

prune350.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(/ (exp (+ x x)) (+ 1.0 (exp x)))
0.0b	(/ (* 1.0 1.0) (+ 1.0 (exp x)))
6.7b	(- (/ (exp (+ x x)) (+ 1.0 (exp x))) (/ (* 1.0 1.0) (+ 1.0 (exp x))))

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

310×	`*-un-lft-identity`
291×	`times-frac`
220×	`prod-diff`
174×	`add-sqr-sqrt`
160×	`add-cube-cbrt`
74×	`associate-/r/` `distribute-lft-out`
51×	`exp-sum`
38×	`flip3-+` `flip-+`
37×	`div-inv`
22×	`fma-neg`
11×	`add-cbrt-cube`
10×	`add-exp-log`
8×	`associate-/r*` `add-log-exp`
6×	`difference-of-squares`
5×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `distribute-rgt-out--` `fma-def` `div-exp`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `prod-exp` `sum-log` `frac-sub` `flip--` `cbrt-unprod` `distribute-lft-out--` `sub-div`

Counts

4 → 352

Calls

4 calls:

7.0ms	(+ 1.0 (exp x))
72.0ms	(/ (exp (+ x x)) (+ 1.0 (exp x)))
39.0ms	(/ (* 1.0 1.0) (+ 1.0 (exp x)))
231.0ms	(- (/ (exp (+ x x)) (+ 1.0 (exp x))) (/ (* 1.0 1.0) (+ 1.0 (exp x))))

series215.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 1.0 (exp x))
50.0ms	(/ (exp (+ x x)) (+ 1.0 (exp x)))
30.0ms	(/ (* 1.0 1.0) (+ 1.0 (exp x)))
126.0ms	(- (/ (exp (+ x x)) (+ 1.0 (exp x))) (/ (* 1.0 1.0) (+ 1.0 (exp x))))

simplify1.7s

Counts

364 → 364

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	381	18216
1	856	15243
2	2145	13201
done	5000	11857

prune853.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes29.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
done	7	9

end0.0ms

sample2.2s

Algorithm

intervals

Results

886.0ms	3447×	body	1280	valid
394.0ms	2473×	body	640	valid
310.0ms	11979×	pre	80	true
119.0ms	1267×	body	320	valid
89.0ms	4160×	body	80	valid
35.0ms	632×	body	160	valid