Details

sample74.0ms

Algorithm

intervals

Results

31.0ms	279×	body	80	nan
22.0ms	274×	body	80	valid

simplify223.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	319
10	319
9	298
8	178
7	94
6	77
5	68
4	55
3	40
2	23
1	13
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.2b	(* y (sqrt x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod`
3×	`associate-l`
2×	`associate-+l+` `sum-log` `insert-posit16` `unswap-sqr`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `flip-+`

Counts

2 → 39

Calls

2 calls:

21.0ms	(+ (- 1.0 x) (* y (sqrt x)))
7.0ms	(* y (sqrt x))

series113.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (- 1.0 x) (* y (sqrt x)))
74.0ms	(* y (sqrt x))

simplify2.5s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
3	3525
2	847
1	250
0	97

prune229.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.4b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 92

Calls

4 calls:

1.0ms	(sqrt (sqrt x))
1.0ms	(sqrt (sqrt x))
9.0ms	(* y (sqrt (sqrt x)))
51.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series594.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(sqrt (sqrt x))
210.0ms	(sqrt (sqrt x))
134.0ms	(* y (sqrt (sqrt x)))
55.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.5s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1291
1	355
0	135

prune507.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.4b	(* (* y (sqrt (sqrt x))) (pow x 1/4))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

22×	`sqrt-prod`
20×	`add-sqr-sqrt`
19×	`add-exp-log`
16×	`associate-r`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube`
10×	`prod-exp`
9×	`add-log-exp`
8×	`pow1`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod` `insert-posit16`
3×	`unpow-prod-down` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `associate-+l+` `sum-log` `pow1/2` `pow-exp` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `associate-+l-` `flip-+` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

46.0ms	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
3.0ms	(sqrt (sqrt x))
17.0ms	(* y (sqrt (sqrt x)))
32.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/4))

series477.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
186.0ms	(sqrt (sqrt x))
108.0ms	(* y (sqrt (sqrt x)))
109.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/4))

simplify1.8s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	2158
1	550
0	207

prune482.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (pow x (/ 1/4 2)))
0.3b	(* (* (* y (sqrt (sqrt x))) (pow x (/ 1/4 2))) (pow x (/ 1/4 2)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log`
58×	`prod-exp`
23×	`associate-r`
22×	`add-sqr-sqrt` `sqrt-prod`
20×	`add-cbrt-cube`
15×	`pow-to-exp` `pow-exp`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`cbrt-unprod`
8×	`pow1`
6×	`unpow-prod-down`
5×	`associate-l`
4×	`sqrt-pow1` `insert-posit16` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `sqr-pow`
1×	`pow-prod-down`

Counts

4 → 113

Calls

4 calls:

1.0ms	(sqrt (sqrt x))
17.0ms	(* y (sqrt (sqrt x)))
33.0ms	(* (* y (sqrt (sqrt x))) (pow x (/ 1/4 2)))
129.0ms	(* (* (* y (sqrt (sqrt x))) (pow x (/ 1/4 2))) (pow x (/ 1/4 2)))

series555.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(sqrt (sqrt x))
92.0ms	(* y (sqrt (sqrt x)))
138.0ms	(* (* y (sqrt (sqrt x))) (pow x (/ 1/4 2)))
107.0ms	(* (* (* y (sqrt (sqrt x))) (pow x (/ 1/4 2))) (pow x (/ 1/4 2)))

simplify1.9s

Counts

125 → 125

Iterations

Iter	Nodes
done	5005
2	2407
1	623
0	221

prune629.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes192.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.8s

Algorithm

intervals

Results

574.0ms	8524×	body	80	valid
505.0ms	8384×	body	80	nan
1.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid