Details

sample175.0ms

Algorithm

intervals

Results

88.0ms	114×	body	1280	valid
36.0ms	77×	body	640	valid
19.0ms	234×	body	80	valid
12.0ms	37×	body	320	valid
4.0ms	19×	body	160	valid

simplify45.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize37.0ms

Local error

Found 1 expressions with local error:

5.4b	(- (exp x) (exp (- x)))

rewrite20.0ms

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:

19.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify1.9s

Counts

18 → 18

Iterations

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

prune95.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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

rewrite61.0ms

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:

16.0ms	(+ (* x (+ 2 (* 1/3 (* x x)))) (* 1/60 (pow x 5)))
15.0ms	(* x (+ 2 (* 1/3 (* x x))))
10.0ms	(* 1/60 (pow x 5))
19.0ms	(* 1/3 (* x x))

series302.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ (* x (+ 2 (* 1/3 (* x x)))) (* 1/60 (pow x 5)))
117.0ms	(* x (+ 2 (* 1/3 (* x x))))
71.0ms	(* 1/60 (pow x 5))
39.0ms	(* 1/3 (* x x))

simplify1.4s

Counts

95 → 95

Iterations

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

prune372.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite133.0ms

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:

53.0ms	(+ (* x (* 1/3 (* x x))) (* 1/60 (pow x 5)))
12.0ms	(* 1/60 (pow x 5))
50.0ms	(* x (* 1/3 (* x x)))
15.0ms	(* 1/3 (* x x))

series417.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(+ (* x (* 1/3 (* x x))) (* 1/60 (pow x 5)))
89.0ms	(* 1/60 (pow x 5))
56.0ms	(* x (* 1/3 (* x x)))
33.0ms	(* 1/3 (* x x))

simplify1.1s

Counts

92 → 92

Iterations

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

prune397.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) (exp (- x))))
5.4b	(- (exp x) (exp (- x)))
5.4b	(- (exp x) (exp (- x)))
5.4b	(- (exp x) (exp (- x)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 61

Calls

4 calls:

7.0ms	(cbrt (- (exp x) (exp (- x))))
11.0ms	(- (exp x) (exp (- x)))
15.0ms	(- (exp x) (exp (- x)))
21.0ms	(- (exp x) (exp (- x)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(cbrt (- (exp x) (exp (- x))))
67.0ms	(- (exp x) (exp (- x)))
72.0ms	(- (exp x) (exp (- x)))
57.0ms	(- (exp x) (exp (- x)))

simplify1.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	2015
4	2015
3	1417
2	473
1	185
0	82

prune443.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.3s	3394×	body	1280	valid
1.4s	2387×	body	640	valid
608.0ms	8246×	body	80	valid
361.0ms	1267×	body	320	valid
111.0ms	674×	body	160	valid