Details

sample66.0ms

Algorithm

intervals

Results

26.0ms	110×	body	1280	valid
13.0ms	87×	body	640	valid
5.0ms	381×	pre	80	true
3.0ms	132×	body	80	valid
3.0ms	33×	body	320	valid
1.0ms	19×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize5.0ms

Local error

Found 1 expressions with local error:

5.6b	(- (exp x) 1.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

12.0ms

(- (exp x) 1.0)

series27.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(- (exp x) 1.0)

simplify1.7s

Counts

17 → 17

Iterations

Iter	Nodes
done	5002
4	2834
3	681
2	221
1	83
0	39

prune77.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ (* x 1/6) 1/2) (pow x 2))
0.4b	(* x 1/6)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`associate-r`
9×	`add-exp-log`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `associate-l`
5×	`unswap-sqr`
4×	`pow1` `unpow-prod-down` `prod-exp`
2×	`associate-l/` `-commutative` `cbrt-unprod` `unpow2` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `pow-prod-down` `pow-exp` `flip-+`

Counts

2 → 47

Calls

2 calls:

44.0ms	(* (+ (* x 1/6) 1/2) (pow x 2))
6.0ms	(* x 1/6)

series141.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(* (+ (* x 1/6) 1/2) (pow x 2))
33.0ms	(* x 1/6)

simplify711.0ms

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
2	1310
1	227
0	90

prune197.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp 3) x)
0.0b	(+ (exp x) 1.0)
0.0b	(+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x)))
5.5b	(- (pow (exp 3) x) (pow 1.0 3))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `difference-of-squares`
10×	`unpow-prod-down` `add-log-exp`
8×	`sqr-pow`
7×	`add-cube-cbrt`
5×	`pow1` `pow-pow`
4×	`add-cbrt-cube` `add-exp-log`
3×	`pow-unpow` `exp-prod` `cube-prod`
2×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `flip-+`
1×	`distribute-rgt-in` `pow-to-exp` `exp-lft-cube` `sub-neg` `distribute-lft-in` `flip3--` `diff-log` `pow-exp` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 71

Calls

4 calls:

7.0ms	(pow (exp 3) x)
8.0ms	(+ (exp x) 1.0)
21.0ms	(+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x)))
38.0ms	(- (pow (exp 3) x) (pow 1.0 3))

series165.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(pow (exp 3) x)
9.0ms	(+ (exp x) 1.0)
57.0ms	(+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x)))
72.0ms	(- (pow (exp 3) x) (pow 1.0 3))

simplify724.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	5002
2	1591
1	430
0	154

prune887.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (+ (exp x) 1.0))
1.0b	(cbrt (+ (exp x) 1.0))
1.0b	(cbrt (+ (exp x) 1.0))
5.5b	(- (pow (exp 3) x) (pow 1.0 3))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`cbrt-prod` `difference-of-squares`
7×	`unpow-prod-down` `add-cube-cbrt` `sqr-pow`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`flip3-+` `pow1/3` `cube-prod` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 67

Calls

4 calls:

10.0ms	(cbrt (+ (exp x) 1.0))
15.0ms	(cbrt (+ (exp x) 1.0))
9.0ms	(cbrt (+ (exp x) 1.0))
34.0ms	(- (pow (exp 3) x) (pow 1.0 3))

series587.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (+ (exp x) 1.0))
177.0ms	(cbrt (+ (exp x) 1.0))
170.0ms	(cbrt (+ (exp x) 1.0))
54.0ms	(- (pow (exp 3) x) (pow 1.0 3))

simplify2.2s

Counts

79 → 79

Iterations

Iter	Nodes
done	5002
3	4361
2	901
1	267
0	115

prune480.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes46.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	9

end0.0ms

sample2.2s

Algorithm

intervals

Results

916.0ms	3389×	body	1280	valid
374.0ms	2562×	body	640	valid
257.0ms	11997×	pre	80	true
158.0ms	1211×	body	320	valid
90.0ms	4204×	body	80	valid
65.0ms	631×	body	160	valid