Details

sample82.0ms

Algorithm

intervals

Results

20.0ms	324×	body	80	nan
17.0ms	265×	body	80	valid

simplify128.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	146
7	146
6	134
5	121
4	104
3	71
2	47
1	21
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (sqrt z) y))
0.2b	(* (sqrt z) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

8.0ms	(+ x (* (sqrt z) y))
16.0ms	(* (sqrt z) y)

series145.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ x (* (sqrt z) y))
93.0ms	(* (sqrt z) y)

simplify2.7s

Counts

39 → 39

Iterations

Iter	Nodes
done	5001
3	4977
2	788
1	221
0	83

prune219.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-l`
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-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

3.0ms	(sqrt (sqrt z))
4.0ms	(sqrt (sqrt z))
19.0ms	(* (sqrt (sqrt z)) y)
39.0ms	(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) y))

series685.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(sqrt (sqrt z))
203.0ms	(sqrt (sqrt z))
194.0ms	(* (sqrt (sqrt z)) y)
71.0ms	(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) y))

simplify939.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1420
1	326
0	128

prune537.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (sqrt (sqrt z)) (* (pow z 1/4) y)))
0.1b	(sqrt (sqrt z))
0.3b	(* (pow z 1/4) y)
0.3b	(* (sqrt (sqrt z)) (* (pow z 1/4) y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

11.0ms	(+ x (* (sqrt (sqrt z)) (* (pow z 1/4) y)))
4.0ms	(sqrt (sqrt z))
22.0ms	(* (pow z 1/4) y)
22.0ms	(* (sqrt (sqrt z)) (* (pow z 1/4) y))

series621.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ x (* (sqrt (sqrt z)) (* (pow z 1/4) y)))
218.0ms	(sqrt (sqrt z))
142.0ms	(* (pow z 1/4) y)
168.0ms	(* (sqrt (sqrt z)) (* (pow z 1/4) y))

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1953
1	467
0	178

prune570.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
34×	`add-sqr-sqrt`
26×	`unpow-prod-down` `-un-lft-identity` `associate-l*` `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-r` `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:

10.0ms	(pow (/ 1 z) -1/4)
3.0ms	(sqrt (sqrt z))
24.0ms	(* (sqrt (sqrt z)) y)
71.0ms	(* (pow (/ 1 z) -1/4) (* (sqrt (sqrt z)) y))

series867.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(pow (/ 1 z) -1/4)
220.0ms	(sqrt (sqrt z))
189.0ms	(* (sqrt (sqrt z)) y)
196.0ms	(* (pow (/ 1 z) -1/4) (* (sqrt (sqrt z)) y))

simplify1.3s

Counts

129 → 129

Iterations

Iter	Nodes
done	5003
2	2661
1	686
0	239

prune732.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes325.0ms

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	13
1	13
0	10

end0.0ms

sample2.4s

Algorithm

intervals

Results

949.0ms	8527×	body	80	valid
583.0ms	8566×	body	80	nan