Details

sample117.0ms

Algorithm

intervals

Results

42.0ms

376×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
9	3405
8	868
7	333
6	188
5	126
4	102
3	78
2	37
1	15
0	8

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* (* x x) x)
0.1b	(* 0.12900613773279798 (* (* x x) x))

rewrite460.0ms

Algorithm

rewrite-expression-head

Rules

117×	`add-sqr-sqrt`
57×	`unswap-sqr`
54×	`associate-r`
43×	`associate-l`
31×	`pow1`
29×	`*-un-lft-identity`
19×	`add-cube-cbrt`
17×	`add-cbrt-cube` `add-exp-log`
14×	`difference-of-squares`
11×	`swap-sqr` `*-commutative`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`pow-plus` `distribute-rgt-out--` `pow-prod-up`
5×	`add-log-exp`
4×	`distribute-lft-out--`
3×	`insert-posit16`
2×	`pow2` `pow3` `pow-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 140

Calls

3 calls:

216.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
57.0ms	(* (* x x) x)
181.0ms	(* 0.12900613773279798 (* (* x x) x))

series233.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
39.0ms	(* (* x x) x)
63.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify1.7s

Counts

149 → 149

Iterations

Iter	Nodes
done	5000
2	1489
1	445
0	156

prune424.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
17×	`unswap-sqr`
15×	`-un-lft-identity` `associate-r*`
10×	`difference-of-squares`
7×	`associate-l` `add-exp-log`
6×	`unpow-prod-down` `cube-prod` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `sqr-pow`
3×	`unpow3` `prod-exp`
2×	`distribute-rgt-out--` `insert-posit16`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-prod-down` `pow-exp` `*-commutative` `cbrt-unprod` `flip--`

Counts

2 → 62

Calls

2 calls:

67.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
29.0ms	(* 0.12900613773279798 (pow x 3))

series161.0ms

Counts

2 → 6

Calls

2 calls:

119.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
41.0ms	(* 0.12900613773279798 (pow x 3))

simplify2.2s

Counts

68 → 68

Iterations

Iter	Nodes
done	5002
3	2602
2	675
1	239
0	99

prune283.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
0.1b	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
0.2b	(* (* 0.12900613773279798 x) x)

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
24×	`associate-l`
21×	`*-un-lft-identity`
15×	`associate-r`
11×	`unswap-sqr`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-cube-cbrt`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`sub-neg` `*-commutative` `insert-posit16`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-*r/` `flip--`
1×	`diff-log`

Counts

3 → 82

Calls

3 calls:

61.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
195.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
38.0ms	(* (* 0.12900613773279798 x) x)

series318.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
152.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
52.0ms	(* (* 0.12900613773279798 x) x)

simplify3.7s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
3	4690
2	961
1	307
0	113

prune317.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 0.12900613773279798 x) x)
0.2b	(* (* 0.12900613773279798 x) x)
21.3b	(sqrt (* (* 0.12900613773279798 x) x))
21.3b	(sqrt (* (* 0.12900613773279798 x) x))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
60×	`associate-l`
44×	`sqrt-prod`
26×	`pow1`
24×	`associate-r`
22×	`*-un-lft-identity` `add-cube-cbrt` `unswap-sqr`
14×	`add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down`
8×	`*-commutative`
6×	`rem-sqrt-square` `sqrt-pow1` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
2×	`pow1/2`

Counts

4 → 138

Calls

4 calls:

28.0ms	(* (* 0.12900613773279798 x) x)
30.0ms	(* (* 0.12900613773279798 x) x)
65.0ms	(sqrt (* (* 0.12900613773279798 x) x))
44.0ms	(sqrt (* (* 0.12900613773279798 x) x))

series157.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* 0.12900613773279798 x) x)
40.0ms	(* (* 0.12900613773279798 x) x)
43.0ms	(sqrt (* (* 0.12900613773279798 x) x))
45.0ms	(sqrt (* (* 0.12900613773279798 x) x))

simplify2.4s

Counts

150 → 150

Iterations

Iter	Nodes
done	5001
3	1706
2	497
1	198
0	96

prune580.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.5s

11770×

body

valid