Details

sample83.0ms

Algorithm

intervals

Results

34.0ms	111×	body	1280	valid
16.0ms	86×	body	640	valid
7.0ms	379×	pre	80	true
4.0ms	35×	body	320	valid
3.0ms	128×	body	80	valid
1.0ms	19×	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: 58.4b

localize7.0ms

Local error

Found 1 expressions with local error:

5.1b	(- (exp x) 1.0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

13.0ms

(- (exp x) 1.0)

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(- (exp x) 1.0)

simplify2.2s

Counts

17 → 17

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	39	132
1	83	127
2	177	119
3	328	117
4	668	117
5	1877	117
done	5000	117

prune47.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)
0.0b	(* (pow x 2) (+ (* 1/6 x) 1/2))
0.3b	(* 1/6 x)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

19.0ms	(+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)
43.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
10.0ms	(* 1/6 x)

series158.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)
89.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
19.0ms	(* 1/6 x)

simplify1.5s

Counts

71 → 71

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	112	812
1	310	730
2	1077	673
done	5000	667

prune204.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) 1.0))
5.1b	(- (exp x) 1.0)
5.1b	(- (exp x) 1.0)
5.1b	(- (exp x) 1.0)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

8.0ms	(cbrt (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)
22.0ms	(- (exp x) 1.0)
19.0ms	(- (exp x) 1.0)

series204.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (- (exp x) 1.0))
21.0ms	(- (exp x) 1.0)
26.0ms	(- (exp x) 1.0)
20.0ms	(- (exp x) 1.0)

simplify1.4s

Counts

69 → 69

Iterations

Useful iterations: 3 (219.0ms)

Iter	Nodes	Cost
0	69	584
1	140	558
2	291	504
3	553	495
4	1543	495
done	5001	495

prune228.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(cbrt (pow (- (exp x) 1.0) 3))
0.1b	(pow (- (exp x) 1.0) 3)
5.1b	(- (exp x) 1.0)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-prod`
10×	`unpow-prod-down` `cube-prod`
9×	`add-cube-cbrt`
5×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 70

Calls

3 calls:

30.0ms	(cbrt (pow (- (exp x) 1.0) 3))
19.0ms	(pow (- (exp x) 1.0) 3)
15.0ms	(- (exp x) 1.0)

series107.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(cbrt (pow (- (exp x) 1.0) 3))
56.0ms	(pow (- (exp x) 1.0) 3)
28.0ms	(- (exp x) 1.0)

simplify4.1s

Counts

79 → 79

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	99	883
1	224	685
2	632	644
3	3978	632
done	5000	632

prune151.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	13	11
done	13	11

end0.0ms

sample2.1s

Algorithm

intervals

Results

862.0ms	3462×	body	1280	valid
339.0ms	2479×	body	640	valid
239.0ms	11929×	pre	80	true
147.0ms	1228×	body	320	valid
129.0ms	4115×	body	80	valid
35.0ms	645×	body	160	valid