Details

sample78.0ms

Algorithm

intervals

Results

54.0ms	179×	body	1280	valid
6.0ms	231×	body	80	valid
5.0ms	32×	body	640	valid
2.0ms	23×	body	320	valid
1.0ms	18×	body	160	valid

simplify29.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	26	8
3	40	8
4	52	8
5	69	8
6	93	8
7	144	8
8	282	8
9	1722	8
done	5000	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
6.5b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite27.0ms

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)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(- (exp x) 2.0)
55.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.3s

Counts

41 → 41

Iterations

Useful iterations: 3 (252.0ms)

Iter	Nodes	Cost
0	93	511
1	212	465
2	620	445
3	2706	432
done	5000	432

prune87.0ms

Pruning

2 alts after pruning (2 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))))
0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite27.0ms

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)))
11.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
5.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))

series245.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
50.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
43.0ms	(* 1/360 (pow x 6))
35.0ms	(* 1/12 (pow x 4))

simplify557.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	133	1068
1	338	934
2	1273	888
done	5001	888

prune193.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (log (exp (* 1/12 (pow x 4))))))
0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))
2.6b	(log (exp (* 1/12 (pow x 4))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

16.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (log (exp (* 1/12 (pow x 4))))))
5.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))
1.0ms	(log (exp (* 1/12 (pow x 4))))

series161.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (log (exp (* 1/12 (pow x 4))))))
45.0ms	(* 1/360 (pow x 6))
32.0ms	(* 1/12 (pow x 4))
36.0ms	(log (exp (* 1/12 (pow x 4))))

simplify529.0ms

Counts

90 → 90

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	139	1013
1	318	859
2	1192	799
done	5001	799

prune221.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))
2.7b	(exp (log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
30.6b	(log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`add-exp-log`
14×	`associate-r`
13×	`add-cube-cbrt`
8×	`unpow-prod-down` `log-prod` `add-cbrt-cube`
6×	`pow1` `associate-l` `prod-exp` `unswap-sqr`
4×	`log-div` `exp-prod` `exp-sum` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `flip3-+` `exp-diff` `pow-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`
1×	`rem-log-exp` `rem-exp-log`

Counts

4 → 83

Calls

4 calls:

5.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))
12.0ms	(exp (log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
10.0ms	(log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

series218.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* 1/360 (pow x 6))
33.0ms	(* 1/12 (pow x 4))
53.0ms	(exp (log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
85.0ms	(log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

simplify608.0ms

Counts

95 → 95

Iterations

Useful iterations: done (606.0ms)

Iter	Nodes	Cost
0	168	1463
1	366	1308
2	1313	1183
done	5000	1182

prune234.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes19.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	19	17
done	19	17

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.7s	5698×	body	1280	valid
194.0ms	1243×	body	640	valid
191.0ms	8117×	body	80	valid
56.0ms	588×	body	320	valid
20.0ms	314×	body	160	valid