Details

sample79.0ms

Algorithm

intervals

Results

30.0ms	268×	body	80	valid
24.0ms	216×	body	80	nan

simplify172.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	119
8	119
7	117
6	113
5	102
4	86
3	66
2	47
1	21
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.3b	(* y (sqrt z))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

33.0ms	(+ x (* y (sqrt z)))
19.0ms	(* y (sqrt z))

series148.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ x (* y (sqrt z)))
88.0ms	(* y (sqrt z))

simplify2.0s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
3	2032
2	690
1	229
0	88

prune223.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
12.0ms	(* y (sqrt (sqrt z)))
59.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series528.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(sqrt (sqrt z))
165.0ms	(sqrt (sqrt z))
115.0ms	(* y (sqrt (sqrt z)))
49.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify2.7s

Counts

135 → 135

Iterations

Iter	Nodes
done	5007
3	4933
2	1241
1	381
0	146

prune537.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite605.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
31×	`sqrt-prod`
27×	`associate-l` `unswap-sqr`
23×	`associate-r`
22×	`*-un-lft-identity`
19×	`add-exp-log`
16×	`add-cube-cbrt`
13×	`pow1`
11×	`unpow-prod-down` `add-cbrt-cube`
10×	`prod-exp`
7×	`sqr-pow`
6×	`add-log-exp`
4×	`sqrt-pow1` `pow-prod-down` `cbrt-unprod` `insert-posit16`
3×	`*-commutative` `distribute-lft-out`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 118

Calls

4 calls:

95.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
4.0ms	(sqrt (sqrt z))
417.0ms	(* y (pow z 1/4))
83.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series460.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
161.0ms	(sqrt (sqrt z))
87.0ms	(* y (pow z 1/4))
140.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify1.5s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	1808
1	539
0	206

prune682.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite382.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
31×	`sqrt-prod`
27×	`associate-l` `unswap-sqr`
23×	`associate-r`
22×	`*-un-lft-identity`
19×	`add-exp-log`
16×	`add-cube-cbrt`
13×	`pow1`
11×	`unpow-prod-down` `add-cbrt-cube`
10×	`prod-exp`
7×	`sqr-pow`
6×	`add-log-exp`
4×	`sqrt-pow1` `pow-prod-down` `cbrt-unprod` `insert-posit16`
3×	`*-commutative` `distribute-lft-out`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 118

Calls

4 calls:

274.0ms	(+ (* (* y (pow z 1/4)) (sqrt (sqrt z))) x)
4.0ms	(sqrt (sqrt z))
30.0ms	(* y (pow z 1/4))
71.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series531.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(+ (* (* y (pow z 1/4)) (sqrt (sqrt z))) x)
197.0ms	(sqrt (sqrt z))
86.0ms	(* y (pow z 1/4))
117.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify1.7s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	1805
1	541
0	207

prune664.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes577.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample2.4s

Algorithm

intervals

Results

994.0ms	8519×	body	80	valid
873.0ms	8489×	body	80	nan