Details

sample146.0ms

Algorithm

intervals

Results

72.0ms	129×	body	1280	valid
25.0ms	269×	body	80	valid
23.0ms	64×	body	640	valid
10.0ms	40×	body	320	valid
2.0ms	15×	body	160	valid

simplify36.0ms

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize45.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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:

23.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify5.1s

Counts

18 → 18

Iterations

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

prune151.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

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))

rewrite72.0ms

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)))
15.0ms	(* (+ 2 (* 1/3 (* x x))) x)
17.0ms	(* 1/60 (pow x 5))
28.0ms	(* 1/3 (* x x))

series261.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(+ (* (+ 2 (* 1/3 (* x x))) x) (* 1/60 (pow x 5)))
98.0ms	(* (+ 2 (* 1/3 (* x x))) x)
57.0ms	(* 1/60 (pow x 5))
28.0ms	(* 1/3 (* x x))

simplify3.6s

Counts

91 → 91

Iterations

Iter	Nodes
3	5776
2	1198
1	368
0	138

prune583.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

31.0ms	(+ (* (* (+ 2 (* 1/3 (* x x))) (sqrt x)) (sqrt x)) (* 1/60 (pow x 5)))
12.0ms	(* 1/60 (pow x 5))
17.0ms	(* 1/3 (* x x))
38.0ms	(* (* (+ 2 (* 1/3 (* x x))) (sqrt x)) (sqrt x))

series338.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (* (* (+ 2 (* 1/3 (* x x))) (sqrt x)) (sqrt x)) (* 1/60 (pow x 5)))
100.0ms	(* 1/60 (pow x 5))
41.0ms	(* 1/3 (* x x))
111.0ms	(* (* (+ 2 (* 1/3 (* x x))) (sqrt x)) (sqrt x))

simplify3.4s

Counts

94 → 94

Iterations

Iter	Nodes
3	5933
2	1411
1	456
0	164

prune633.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	18
1	18
0	13

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.7s	3397×	body	1280	valid
1.1s	2493×	body	640	valid
999.0ms	8032×	body	80	valid
302.0ms	1213×	body	320	valid
139.0ms	635×	body	160	valid