Details

sample94.0ms

Algorithm

intervals

Results

41.0ms	107×	body	1280	valid
19.0ms	78×	body	640	valid
11.0ms	45×	body	320	valid
10.0ms	264×	body	80	valid
1.0ms	16×	body	160	valid

simplify31.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.0b

localize16.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (exp x) (exp (- x)))

rewrite33.0ms

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:

32.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify1.7s

Counts

18 → 18

Iterations

Iter	Nodes
done	5000
4	1932
3	723
2	277
1	111
0	47

prune80.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ (* 1/3 (* x x)) 2))
0.1b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (* x x))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

71.0ms	(* x (+ (* 1/3 (* x x)) 2))
15.0ms	(* 1/60 (pow x 5))
20.0ms	(* 1/3 (* x x))

series216.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(* x (+ (* 1/3 (* x x)) 2))
63.0ms	(* 1/60 (pow x 5))
30.0ms	(* 1/3 (* x x))

simplify1.1s

Counts

78 → 78

Iterations

Iter	Nodes
done	5003
2	1248
1	359
0	122

prune314.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`pow1`
14×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

3 → 68

Calls

3 calls:

18.0ms	(* 1/60 (pow x 5))
58.0ms	(* (* 1/3 (* x x)) x)
28.0ms	(* 1/3 (* x x))

series155.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(* 1/60 (pow x 5))
48.0ms	(* (* 1/3 (* x x)) x)
29.0ms	(* 1/3 (* x x))

simplify2.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5002
3	3456
2	738
1	269
0	104

prune231.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* x 3))
0.0b	(* (exp x) (exp x))
0.0b	(* (exp x) (exp x))
4.9b	(+ (exp (* x 3)) (/ -1 (exp (* x 3))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

37×	`exp-prod`
28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
18×	`pow1`
8×	`add-cbrt-cube` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-log-exp`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-exp-log` `insert-posit16`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `exp-lft-cube` `sum-log` `flip3-+` `exp-to-pow` `flip-+` `distribute-lft-out` `rem-exp-log`

Counts

4 → 95

Calls

4 calls:

6.0ms	(exp (* x 3))
23.0ms	(* (exp x) (exp x))
17.0ms	(* (exp x) (exp x))
24.0ms	(+ (exp (* x 3)) (/ -1 (exp (* x 3))))

series114.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(exp (* x 3))
19.0ms	(* (exp x) (exp x))
19.0ms	(* (exp x) (exp x))
67.0ms	(+ (exp (* x 3)) (/ -1 (exp (* x 3))))

simplify1.5s

Counts

107 → 107

Iterations

Iter	Nodes
done	5002
3	2140
2	642
1	247
0	100

prune469.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes49.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.0s	3323×	body	1280	valid
746.0ms	2528×	body	640	valid
442.0ms	7882×	body	80	valid
240.0ms	1248×	body	320	valid
66.0ms	633×	body	160	valid