Details

sample169.0ms

Algorithm

intervals

Results

77.0ms	107×	body	1280	valid
38.0ms	78×	body	640	valid
21.0ms	257×	body	80	valid
14.0ms	47×	body	320	valid
3.0ms	14×	body	160	valid

simplify37.0ms

Counts

1 → 1

Iterations

Iter	Nodes
7	36
6	36
5	35
4	33
3	29
2	22
1	14
0	7

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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:

17.0ms

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

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

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

simplify4.6s

Counts

18 → 18

Iterations

Iter	Nodes
5	5103
4	1654
3	653
2	258
1	111
0	47

prune200.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

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×	`flip3-+` `associate-*l/` `flip-+` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-exp`

Counts

4 → 79

Calls

4 calls:

11.0ms	(+ (* (+ 2 (* 1/3 (* x x))) x) (* 1/60 (pow x 5)))
12.0ms	(* (+ 2 (* 1/3 (* x x))) x)
12.0ms	(* 1/60 (pow x 5))
32.0ms	(* 1/3 (* x x))

series300.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (* (+ 2 (* 1/3 (* x x))) x) (* 1/60 (pow x 5)))
118.0ms	(* (+ 2 (* 1/3 (* x x))) x)
68.0ms	(* 1/60 (pow x 5))
52.0ms	(* 1/3 (* x x))

simplify3.5s

Counts

91 → 91

Iterations

Iter	Nodes
3	5776
2	1198
1	368
0	138

prune777.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 1/3 (* x x)) (* 1/3 (* x x)))
0.2b	(* 1/3 (* x x))
0.2b	(* 1/3 (* x x))
0.2b	(* 1/3 (* x x))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

133×	`pow1`
75×	`pow-prod-down`
55×	`add-cbrt-cube` `add-exp-log`
36×	`prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-l`
9×	`pow-sqr` `pow-prod-up`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `*-commutative` `insert-posit16` `add-log-exp`
3×	`pow-plus` `unswap-sqr`
1×	`pow2` `swap-sqr`

Counts

4 → 121

Calls

4 calls:

126.0ms	(* (* 1/3 (* x x)) (* 1/3 (* x x)))
14.0ms	(* 1/3 (* x x))
18.0ms	(* 1/3 (* x x))
14.0ms	(* 1/3 (* x x))

series186.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (* 1/3 (* x x)) (* 1/3 (* x x)))
33.0ms	(* 1/3 (* x x))
38.0ms	(* 1/3 (* x x))
39.0ms	(* 1/3 (* x x))

simplify2.7s

Counts

133 → 133

Iterations

Iter	Nodes
3	4346
2	718
1	188
0	70

prune1.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (exp x))
0.0b	(exp (* 3 x))
0.0b	(exp (* 3 x))
5.4b	(+ (/ -1 (exp (* 3 x))) (exp (* 3 x)))

rewrite63.0ms

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-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 → 70

Calls

4 calls:

13.0ms	(* (exp x) (exp x))
4.0ms	(exp (* 3 x))
4.0ms	(exp (* 3 x))
40.0ms	(+ (/ -1 (exp (* 3 x))) (exp (* 3 x)))

series138.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (exp x) (exp x))
12.0ms	(exp (* 3 x))
12.0ms	(exp (* 3 x))
92.0ms	(+ (/ -1 (exp (* 3 x))) (exp (* 3 x)))

simplify1.7s

Counts

82 → 82

Iterations

Iter	Nodes
3	3333
2	627
1	243
0	99

prune679.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes94.0ms

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
2	18
1	18
0	13

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.3s	3320×	body	1280	valid
1.1s	2497×	body	640	valid
1.0s	7983×	body	80	valid
356.0ms	1307×	body	320	valid
98.0ms	615×	body	160	valid