Details

sample64.0ms

Algorithm

intervals

Results

24.0ms	115×	body	1280	valid
9.0ms	70×	body	640	valid
7.0ms	380×	pre	80	true
4.0ms	45×	body	320	valid
3.0ms	131×	body	80	valid
1.0ms	19×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize6.0ms

Local error

Found 1 expressions with local error:

5.4b	(- (exp x) 1.0)

rewrite9.0ms

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:

9.0ms

(- (exp x) 1.0)

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(- (exp x) 1.0)

simplify1.8s

Counts

17 → 17

Iterations

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

prune110.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:

29.0ms	(* (+ (* x 1/6) 1/2) (pow x 2))
5.0ms	(* x 1/6)

series129.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(* (+ (* x 1/6) 1/2) (pow x 2))
20.0ms	(* x 1/6)

simplify736.0ms

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
2	1310
1	227
0	90

prune165.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

110×	`add-sqr-sqrt`
60×	`difference-of-squares`
48×	`times-frac`
37×	`*-un-lft-identity`
35×	`unpow-prod-down` `sqr-pow`
25×	`add-cube-cbrt`
16×	`associate-/l*`
15×	`cube-prod`
10×	`add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
5×	`distribute-lft-out--`
4×	`pow1`
3×	`associate-/r*` `flip3-+` `flip-+`
2×	`+-commutative` `associate-+l+` `sum-log` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `div-exp` `div-inv` `distribute-lft-out`

Counts

4 → 134

Calls

4 calls:

7.0ms	(+ (exp x) 1.0)
21.0ms	(+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x)))
117.0ms	(/ (- (pow (exp 3) x) (pow 1.0 3)) (+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x))))
36.0ms	(- (pow (exp 3) x) (pow 1.0 3))

series273.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (exp x) 1.0)
57.0ms	(+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x)))
155.0ms	(/ (- (pow (exp 3) x) (pow 1.0 3)) (+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x))))
47.0ms	(- (pow (exp 3) x) (pow 1.0 3))

simplify998.0ms

Counts

146 → 146

Iterations

Iter	Nodes
done	5001
2	2128
1	586
0	241

prune829.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (* 3 x)) 3)
0.0b	(/ (- (pow (exp (* 3 x)) 3) (pow (pow 1.0 3) 3)) (+ (pow (exp x) 6) (* (+ (exp (* 3 x)) (pow 1.0 3)) (pow 1.0 3))))
0.1b	(pow (exp x) 6)
5.4b	(- (pow (exp (* 3 x)) 3) (pow (pow 1.0 3) 3))

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

354×	`add-sqr-sqrt`
200×	`difference-of-squares`
196×	`unpow-prod-down`
193×	`cube-prod`
147×	`times-frac`
114×	`*-un-lft-identity`
112×	`sqr-pow`
64×	`add-cube-cbrt`
49×	`associate-/l*`
25×	`distribute-lft-out--`
7×	`pow-pow` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `pow-unpow` `add-exp-log`
5×	`difference-cubes`
4×	`exp-prod`
3×	`associate-/r*`
2×	`pow-to-exp` `flip3--` `pow-exp` `associate-/r/` `flip--` `associate-/l/`
1×	`cube-mult` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `exp-to-pow` `diff-log` `unpow3` `div-sub` `div-exp` `flip-+` `div-inv` `rem-cube-cbrt`

Counts

4 → 319

Calls

4 calls:

5.0ms	(pow (exp (* 3 x)) 3)
211.0ms	(/ (- (pow (exp (* 3 x)) 3) (pow (pow 1.0 3) 3)) (+ (pow (exp x) 6) (* (+ (exp (* 3 x)) (pow 1.0 3)) (pow 1.0 3))))
4.0ms	(pow (exp x) 6)
44.0ms	(- (pow (exp (* 3 x)) 3) (pow (pow 1.0 3) 3))

series355.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(pow (exp (* 3 x)) 3)
220.0ms	(/ (- (pow (exp (* 3 x)) 3) (pow (pow 1.0 3) 3)) (+ (pow (exp x) 6) (* (+ (exp (* 3 x)) (pow 1.0 3)) (pow 1.0 3))))
50.0ms	(pow (exp x) 6)
44.0ms	(- (pow (exp (* 3 x)) 3) (pow (pow 1.0 3) 3))

simplify1.8s

Counts

331 → 331

Iterations

Iter	Nodes
done	5000
2	3304
1	858
0	333

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes180.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.0s	3473×	body	1280	valid
851.0ms	2488×	body	640	valid
165.0ms	12000×	pre	80	true
124.0ms	4200×	body	80	valid
112.0ms	1207×	body	320	valid
38.0ms	632×	body	160	valid