Details

sample78.0ms

Algorithm

intervals

Results

53.0ms	185×	body	1280	valid
6.0ms	272×	body	80	valid
6.0ms	37×	body	640	valid
2.0ms	22×	body	320	valid
0.0ms	8×	body	160	valid

simplify95.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	26	8
3	38	8
4	49	8
5	54	8
6	63	8
7	80	8
8	99	8
9	106	8
10	110	8
11	114	8
done	114	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.9b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite28.0ms

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:

4.0ms	(- (exp x) 2.0)
22.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series74.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
61.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.1s

Counts

41 → 41

Iterations

Useful iterations: 3 (369.0ms)

Iter	Nodes	Cost
0	93	511
1	212	465
2	574	445
3	1993	432
done	5001	432

prune92.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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

rewrite29.0ms

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:

3.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
12.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
6.0ms	(* 1/360 (pow x 6))
6.0ms	(* 1/12 (pow x 4))

series288.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
58.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
53.0ms	(* 1/360 (pow x 6))
38.0ms	(* 1/12 (pow x 4))

simplify967.0ms

Counts

87 → 87

Iterations

Useful iterations: done (959.0ms)

Iter	Nodes	Cost
0	133	1068
1	334	934
2	933	888
done	5000	870

prune198.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 2.0 (exp (- x)))
3.3b	(- (exp x) (- 2.0 (exp (- x))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

4.0ms	(- 2.0 (exp (- x)))
15.0ms	(- (exp x) (- 2.0 (exp (- x))))

series76.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(- 2.0 (exp (- x)))
59.0ms	(- (exp x) (- 2.0 (exp (- x))))

simplify2.5s

Counts

39 → 39

Iterations

Useful iterations: 3 (182.0ms)

Iter	Nodes	Cost
0	82	422
1	179	393
2	427	375
3	1217	371
4	4533	371
done	5000	371

prune79.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 2.0 (exp (- x))) (- 2.0 (exp (- x))))
0.0b	(/ (- (exp (+ x x)) (* (- 2.0 (exp (- x))) (- 2.0 (exp (- x))))) (+ (- (exp x) (exp (- x))) 2.0))
4.3b	(- (exp (+ x x)) (* (- 2.0 (exp (- x))) (- 2.0 (exp (- x)))))
6.2b	(- (exp x) (exp (- x)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
25×	`times-frac`
20×	`add-cube-cbrt`
19×	`difference-of-squares`
13×	`distribute-lft-out--`
12×	`distribute-lft-out`
11×	`pow1`
9×	`flip3--` `flip--`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`swap-sqr` `exp-sum`
6×	`sub-neg`
5×	`associate-r` `associate-l` `associate-/r` `associate-/l`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `associate--r+`
2×	`diff-log` `associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `flip3-+` `pow-plus` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 129

Calls

4 calls:

32.0ms	(* (- 2.0 (exp (- x))) (- 2.0 (exp (- x))))
102.0ms	(/ (- (exp (+ x x)) (* (- 2.0 (exp (- x))) (- 2.0 (exp (- x))))) (+ (- (exp x) (exp (- x))) 2.0))
28.0ms	(- (exp (+ x x)) (* (- 2.0 (exp (- x))) (- 2.0 (exp (- x)))))
6.0ms	(- (exp x) (exp (- x)))

series335.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (- 2.0 (exp (- x))) (- 2.0 (exp (- x))))
173.0ms	(/ (- (exp (+ x x)) (* (- 2.0 (exp (- x))) (- 2.0 (exp (- x))))) (+ (- (exp x) (exp (- x))) 2.0))
88.0ms	(- (exp (+ x x)) (* (- 2.0 (exp (- x))) (- 2.0 (exp (- x)))))
37.0ms	(- (exp x) (exp (- x)))

simplify776.0ms

Counts

141 → 141

Iterations

Useful iterations: 2 (267.0ms)

Iter	Nodes	Cost
0	240	3503
1	586	2899
2	1940	2692
done	5000	2692

prune322.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes22.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s	5631×	body	1280	valid
191.0ms	1250×	body	640	valid
182.0ms	8069×	body	80	valid
59.0ms	652×	body	320	valid
19.0ms	294×	body	160	valid