Details

sample67.0ms

Algorithm

intervals

Results

26.0ms	114×	body	1280	valid
12.0ms	86×	body	640	valid
5.0ms	364×	pre	80	true
3.0ms	27×	body	320	valid
2.0ms	114×	body	80	valid
1.0ms	23×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize9.0ms

Local error

Found 1 expressions with local error:

5.3b	(- (exp x) 1.0)

rewrite16.0ms

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:

15.0ms

(- (exp x) 1.0)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- (exp x) 1.0)

simplify1.6s

Counts

17 → 17

Iterations

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

prune79.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

12.0ms	(+ (* x 1/6) 1/2)
47.0ms	(* (+ (* x 1/6) 1/2) (pow x 2))
10.0ms	(* x 1/6)

series182.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (* x 1/6) 1/2)
107.0ms	(* (+ (* x 1/6) 1/2) (pow x 2))
28.0ms	(* x 1/6)

simplify864.0ms

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1367
1	250
0	99

prune298.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x)))
0.0b	(+ (exp x) 1.0)
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))

rewrite263.0ms

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:

38.0ms	(+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x)))
12.0ms	(+ (exp x) 1.0)
157.0ms	(/ (- (pow (exp 3) x) (pow 1.0 3)) (+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x))))
49.0ms	(- (pow (exp 3) x) (pow 1.0 3))

series231.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x)))
10.0ms	(+ (exp x) 1.0)
141.0ms	(/ (- (pow (exp 3) x) (pow 1.0 3)) (+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x))))
41.0ms	(- (pow (exp 3) x) (pow 1.0 3))

simplify1.0s

Counts

146 → 146

Iterations

Iter	Nodes
done	5002
2	2135
1	586
0	241

prune893.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(exp (log (- (exp x) 1.0)))
5.3b	(- (exp x) 1.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`log-prod` `exp-sum`
4×	`exp-prod` `add-cube-cbrt` `add-log-exp`
3×	`pow1`
2×	`log-div` `flip3--` `add-cbrt-cube` `exp-diff` `add-exp-log` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `diff-log` `log-pow` `rem-exp-log`

Counts

2 → 33

Calls

2 calls:

8.0ms	(exp (log (- (exp x) 1.0)))
8.0ms	(- (exp x) 1.0)

series34.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(exp (log (- (exp x) 1.0)))
18.0ms	(- (exp x) 1.0)

simplify2.1s

Counts

39 → 39

Iterations

Iter	Nodes
done	5001
4	3409
3	850
2	299
1	130
0	74

prune156.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes103.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

845.0ms	3432×	body	1280	valid
713.0ms	11820×	pre	80	true
386.0ms	2491×	body	640	valid
115.0ms	1256×	body	320	valid
84.0ms	4000×	body	80	valid
35.0ms	641×	body	160	valid