Details

sample150.0ms

Algorithm

intervals

Results

96.0ms	173×	body	1280	valid
14.0ms	48×	body	640	valid
11.0ms	253×	body	80	valid
3.0ms	17×	body	320	valid
2.0ms	14×	body	160	valid

simplify141.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	26	8
3	40	8
4	49	8
5	54	8
6	63	8
7	80	8
8	95	8
9	103	8
10	111	8
done	111	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.4b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `add-cube-cbrt` `sub-neg` `associate-+l+` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

15.0ms	(- (exp x) 2.0)
69.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- (exp x) 2.0)
72.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.8s

Counts

41 → 41

Iterations

Useful iterations: 3 (561.0ms)

Iter	Nodes	Cost
0	93	511
1	204	465
2	579	445
3	2107	432
done	5000	432

prune106.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`add-exp-log` `associate-r`
12×	`*-un-lft-identity`
11×	`add-log-exp`
10×	`add-cube-cbrt`
8×	`unpow-prod-down` `add-cbrt-cube`
6×	`associate-l` `prod-exp` `unswap-sqr`
4×	`pow1` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 75

Calls

4 calls:

10.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
47.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
23.0ms	(* 1/360 (pow x 6))
24.0ms	(* 1/12 (pow x 4))

series390.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
88.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
61.0ms	(* 1/360 (pow x 6))
41.0ms	(* 1/12 (pow x 4))

simplify4.4s

Counts

87 → 87

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	133	1068
1	331	934
2	952	888
3	4364	870
done	5001	868

prune297.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp (- x)) 2.0)
3.8b	(+ (exp x) (- (exp (- x)) 2.0))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `associate-+r+` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

2 → 31

Calls

2 calls:

30.0ms	(- (exp (- x)) 2.0)
85.0ms	(+ (exp x) (- (exp (- x)) 2.0))

series82.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(- (exp (- x)) 2.0)
64.0ms	(+ (exp x) (- (exp (- x)) 2.0))

simplify1.4s

Counts

37 → 37

Iterations

Useful iterations: 3 (401.0ms)

Iter	Nodes	Cost
0	77	392
1	178	364
2	466	344
3	1738	343
done	5001	343

prune69.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- x)) 2.0)
0.0b	(+ (* 2.0 (+ (exp (- x)) 2.0)) (exp (* x -2)))
0.0b	(exp (* x -3))
4.1b	(+ (exp x) (/ (- (exp (* x -3)) (pow 2.0 3)) (+ (* 2.0 (+ (exp (- x)) 2.0)) (exp (* x -2)))))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-log-exp`
8×	`*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
3×	`+-commutative` `flip3-+` `sum-log` `flip-+`
2×	`associate-+l+` `distribute-lft-out`
1×	`distribute-rgt-in` `associate-+r-` `exp-prod` `exp-to-pow` `distribute-lft-in` `div-sub` `rem-exp-log`

Counts

4 → 48

Calls

4 calls:

22.0ms	(+ (exp (- x)) 2.0)
48.0ms	(+ (* 2.0 (+ (exp (- x)) 2.0)) (exp (* x -2)))
8.0ms	(exp (* x -3))
170.0ms	(+ (exp x) (/ (- (exp (* x -3)) (pow 2.0 3)) (+ (* 2.0 (+ (exp (- x)) 2.0)) (exp (* x -2)))))

series338.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (exp (- x)) 2.0)
61.0ms	(+ (* 2.0 (+ (exp (- x)) 2.0)) (exp (* x -2)))
11.0ms	(exp (* x -3))
248.0ms	(+ (exp x) (/ (- (exp (* x -3)) (pow 2.0 3)) (+ (* 2.0 (+ (exp (- x)) 2.0)) (exp (* x -2)))))

simplify2.4s

Counts

60 → 60

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	141	1078
1	347	1034
2	964	927
3	3394	902
done	5000	893

prune281.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	17	15
done	17	15

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.4s	5686×	body	1280	valid
266.0ms	1209×	body	640	valid
259.0ms	8093×	body	80	valid
83.0ms	626×	body	320	valid
28.0ms	321×	body	160	valid