Details

sample77.0ms

Algorithm

intervals

Results

52.0ms	181×	body	1280	valid
7.0ms	43×	body	640	valid
5.0ms	231×	body	80	valid
2.0ms	19×	body	320	valid
0.0ms	6×	body	160	valid

simplify92.0ms

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: 30.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.6b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite62.0ms

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:

12.0ms	(- (exp x) 2.0)
48.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series70.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
56.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.1s

Counts

41 → 41

Iterations

Useful iterations: 3 (377.0ms)

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

prune93.0ms

Pruning

4 alts after pruning (4 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))

rewrite64.0ms

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)))
28.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
12.0ms	(* 1/360 (pow x 6))
12.0ms	(* 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)))
61.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
53.0ms	(* 1/360 (pow x 6))
37.0ms	(* 1/12 (pow x 4))

simplify2.7s

Counts

87 → 87

Iterations

Useful iterations: done (2.7s)

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

prune216.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`add-exp-log` `associate-r`
11×	`add-log-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
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-+l+`

Counts

4 → 74

Calls

4 calls:

13.0ms	(+ (pow x 2) (* 1/360 (pow x 6)))
56.0ms	(+ (+ (pow x 2) (* 1/360 (pow x 6))) (* 1/12 (pow x 4)))
12.0ms	(* 1/360 (pow x 6))
13.0ms	(* 1/12 (pow x 4))

series288.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(+ (pow x 2) (* 1/360 (pow x 6)))
62.0ms	(+ (+ (pow x 2) (* 1/360 (pow x 6))) (* 1/12 (pow x 4)))
51.0ms	(* 1/360 (pow x 6))
43.0ms	(* 1/12 (pow x 4))

simplify2.6s

Counts

86 → 86

Iterations

Useful iterations: 3 (892.0ms)

Iter	Nodes	Cost
0	134	1013
1	326	895
2	945	847
3	4543	821
done	5001	821

prune213.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))
0.1b	(pow (+ (pow x 2) (* 1/360 (pow x 6))) 3)
22.1b	(cbrt (pow (+ (pow x 2) (* 1/360 (pow x 6))) 3))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`add-exp-log`
14×	`unpow-prod-down` `associate-r`
12×	`cbrt-prod`
9×	`add-cbrt-cube`
6×	`cube-prod` `associate-l` `prod-exp` `unswap-sqr` `sqr-pow`
5×	`pow1`
4×	`cube-div` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `pow-exp`
2×	`cube-mult` `cbrt-div` `flip3-+` `unpow3` `*-commutative` `cbrt-unprod` `flip-+`
1×	`pow-pow` `pow1/3` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 98

Calls

4 calls:

12.0ms	(* 1/360 (pow x 6))
12.0ms	(* 1/12 (pow x 4))
20.0ms	(pow (+ (pow x 2) (* 1/360 (pow x 6))) 3)
15.0ms	(cbrt (pow (+ (pow x 2) (* 1/360 (pow x 6))) 3))

series365.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* 1/360 (pow x 6))
43.0ms	(* 1/12 (pow x 4))
139.0ms	(pow (+ (pow x 2) (* 1/360 (pow x 6))) 3)
134.0ms	(cbrt (pow (+ (pow x 2) (* 1/360 (pow x 6))) 3))

simplify704.0ms

Counts

110 → 110

Iterations

Useful iterations: done (701.0ms)

Iter	Nodes	Cost
0	171	1528
1	393	1267
2	1121	1141
done	5000	1125

prune262.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes21.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

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	5682×	body	1280	valid
184.0ms	1210×	body	640	valid
168.0ms	7869×	body	80	valid
59.0ms	652×	body	320	valid
17.0ms	292×	body	160	valid