Details

sample157.0ms

Algorithm

intervals

Results

70.0ms	111×	body	1280	valid
37.0ms	82×	body	640	valid
22.0ms	292×	body	80	valid
10.0ms	31×	body	320	valid
3.0ms	20×	body	160	valid

simplify58.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	38
6	38
5	37
4	35
3	31
2	24
1	14
0	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 56.8b

localize12.0ms

Local error

Found 1 expressions with local error:

5.6b	(- (exp x) (exp (- x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 15

Calls

1 calls:

11.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify1.4s

Counts

18 → 18

Iterations

Iter	Nodes
done	2001
5	2001
4	1932
3	723
2	277
1	111
0	47

prune98.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ 2 (* 1/3 (* x x)))) (* 1/60 (pow x 5)))
0.0b	(* x (+ 2 (* 1/3 (* x x))))
0.0b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (* x x))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`pow1` `associate-r`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-l`
7×	`prod-exp`
6×	`add-log-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down` `insert-posit16`
3×	`*-commutative`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-exp`

Counts

4 → 83

Calls

4 calls:

15.0ms	(+ (* x (+ 2 (* 1/3 (* x x)))) (* 1/60 (pow x 5)))
11.0ms	(* x (+ 2 (* 1/3 (* x x))))
12.0ms	(* 1/60 (pow x 5))
21.0ms	(* 1/3 (* x x))

series298.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (* x (+ 2 (* 1/3 (* x x)))) (* 1/60 (pow x 5)))
132.0ms	(* x (+ 2 (* 1/3 (* x x))))
68.0ms	(* 1/60 (pow x 5))
36.0ms	(* 1/3 (* x x))

simplify1.2s

Counts

95 → 95

Iterations

Iter	Nodes
done	2001
3	2001
2	1529
1	427
0	144

prune370.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (* 1/3 (* x x))) (* 1/60 (pow x 5)))
0.0b	(* 1/60 (pow x 5))
0.1b	(* x (* 1/3 (* x x)))
0.2b	(* 1/3 (* x x))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`-un-lft-identity` `associate-r` `associate-l*` `pow-prod-down` `add-cube-cbrt`
6×	`add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 80

Calls

4 calls:

63.0ms	(+ (* x (* 1/3 (* x x))) (* 1/60 (pow x 5)))
17.0ms	(* 1/60 (pow x 5))
62.0ms	(* x (* 1/3 (* x x)))
17.0ms	(* 1/3 (* x x))

series373.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(+ (* x (* 1/3 (* x x))) (* 1/60 (pow x 5)))
69.0ms	(* 1/60 (pow x 5))
45.0ms	(* x (* 1/3 (* x x)))
28.0ms	(* 1/3 (* x x))

simplify1.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	2023
3	2023
2	1023
1	321
0	123

prune386.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (exp x))
0.0b	(exp (* x 3))
0.0b	(exp (* x 3))
5.7b	(+ (exp (* x 3)) (/ -1 (exp (* x 3))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

20×	`exp-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`pow1`
10×	`add-log-exp`
6×	`add-cbrt-cube`
4×	`pow-prod-down` `add-exp-log` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`exp-lft-cube` `exp-to-pow` `rem-exp-log`
1×	`pow2` `+-commutative` `sum-log` `flip3-+` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

13.0ms	(* (exp x) (exp x))
8.0ms	(exp (* x 3))
5.0ms	(exp (* x 3))
15.0ms	(+ (exp (* x 3)) (/ -1 (exp (* x 3))))

series86.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (exp x) (exp x))
7.0ms	(exp (* x 3))
7.0ms	(exp (* x 3))
51.0ms	(+ (exp (* x 3)) (/ -1 (exp (* x 3))))

simplify1.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	2001
3	2001
2	669
1	248
0	100

prune376.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes131.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.2s	3428×	body	1280	valid
1.1s	8196×	body	80	valid
973.0ms	2439×	body	640	valid
352.0ms	1227×	body	320	valid
150.0ms	640×	body	160	valid