Details

sample108.0ms

Algorithm

intervals

Results

36.0ms	94×	body	1280	valid
35.0ms	75×	body	640	valid
10.0ms	257×	body	80	valid
7.0ms	49×	body	320	valid
3.0ms	29×	body	160	valid

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	24	8
3	30	8
4	34	8
done	34	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize7.0ms

Local error

Found 1 expressions with local error:

8.0b	(- (exp x) (exp (- x)))

rewrite16.0ms

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:

15.0ms

(- (exp x) (exp (- x)))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(- (exp x) (exp (- x)))

simplify773.0ms

Counts

17 → 17

Iterations

Useful iterations: 3 (232.0ms)

Iter	Nodes	Cost
0	46	185
1	109	176
2	330	158
3	1317	157
done	5001	157

prune75.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1` `sum-log`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `associate-+r+` `flip3-+` `unpow3` `flip-+`

Counts

3 → 69

Calls

3 calls:

34.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
19.0ms	(* 1/60 (pow x 5))
22.0ms	(* 1/3 (pow x 3))

series182.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
66.0ms	(* 1/60 (pow x 5))
53.0ms	(* 1/3 (pow x 3))

simplify702.0ms

Counts

78 → 78

Iterations

Useful iterations: done (699.0ms)

Iter	Nodes	Cost
0	122	847
1	329	750
2	1268	704
done	5001	703

prune213.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 2 x))
0.0b	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`cube-mult` `associate-+l+` `unpow3`

Counts

4 → 80

Calls

4 calls:

42.0ms	(+ (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 2 x))
10.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
22.0ms	(* 1/60 (pow x 5))
23.0ms	(* 1/3 (pow x 3))

series375.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 2 x))
202.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
62.0ms	(* 1/60 (pow x 5))
45.0ms	(* 1/3 (pow x 3))

simplify983.0ms

Counts

92 → 92

Iterations

Useful iterations: done (978.0ms)

Iter	Nodes	Cost
0	137	1095
1	381	963
2	1533	919
done	5001	908

prune255.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (+ (log (exp (* 1/60 (pow x 5)))) (* 2 x)))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))
1.8b	(log (exp (* 1/60 (pow x 5))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

58.0ms	(+ (* 1/3 (pow x 3)) (+ (log (exp (* 1/60 (pow x 5)))) (* 2 x)))
19.0ms	(* 1/60 (pow x 5))
13.0ms	(* 1/3 (pow x 3))
3.0ms	(log (exp (* 1/60 (pow x 5))))

series289.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (* 1/3 (pow x 3)) (+ (log (exp (* 1/60 (pow x 5)))) (* 2 x)))
76.0ms	(* 1/60 (pow x 5))
58.0ms	(* 1/3 (pow x 3))
77.0ms	(log (exp (* 1/60 (pow x 5))))

simplify875.0ms

Counts

95 → 95

Iterations

Useful iterations: done (872.0ms)

Iter	Nodes	Cost
0	142	1042
1	359	872
2	1322	816
done	5001	815

prune383.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes29.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	20	17
done	20	17

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.6s	3354×	body	1280	valid
1.4s	2489×	body	640	valid
460.0ms	8043×	body	80	valid
214.0ms	1216×	body	320	valid
159.0ms	672×	body	160	valid