Details

sample53.0ms

Algorithm

intervals

Results

14.0ms	297×	body	80	nan
13.0ms	269×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1334
6	407
5	134
4	62
3	40
2	23
1	13
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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` `unswap-sqr`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `flip-+`

Counts

2 → 37

Calls

2 calls:

36.0ms	(+ (- 1.0 x) (* y (sqrt x)))
9.0ms	(* y (sqrt x))

series98.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (- 1.0 x) (* y (sqrt x)))
54.0ms	(* y (sqrt x))

simplify740.0ms

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	894
1	250
0	95

prune247.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `add-log-exp`
3×	`associate-l`
2×	`unswap-sqr`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--`

Counts

2 → 35

Calls

2 calls:

8.0ms	(- x (* y (sqrt x)))
15.0ms	(* y (sqrt x))

series152.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(- x (* y (sqrt x)))
75.0ms	(* y (sqrt x))

simplify832.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
2	799
1	219
0	86

prune195.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite57.0ms

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` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
2.0ms	(sqrt (sqrt x))
14.0ms	(* y (sqrt (sqrt x)))
37.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series610.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(sqrt (sqrt x))
193.0ms	(sqrt (sqrt x))
124.0ms	(* y (sqrt (sqrt x)))
59.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1698
1	354
0	132

prune490.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
34×	`add-sqr-sqrt`
26×	`unpow-prod-down` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
22×	`sqrt-prod`
19×	`prod-exp`
18×	`times-frac`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv` `sqr-pow`
1×	`pow-prod-down` `pow-flip` `inv-pow`

Counts

4 → 117

Calls

4 calls:

6.0ms	(pow (/ 1 x) -1/4)
2.0ms	(sqrt (sqrt x))
17.0ms	(* y (sqrt (sqrt x)))
50.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

series743.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(pow (/ 1 x) -1/4)
246.0ms	(sqrt (sqrt x))
104.0ms	(* y (sqrt (sqrt x)))
111.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

simplify2.1s

Counts

129 → 129

Iterations

Iter	Nodes
done	5001
2	3136
1	714
0	243

prune561.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes109.0ms

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	8
1	8
0	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

764.0ms	8434×	body	80	nan
512.0ms	8513×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid