Details

sample54.0ms

Algorithm

intervals

Results

14.0ms	323×	body	80	nan
13.0ms	278×	body	80	valid

simplify149.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`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×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 33

Calls

2 calls:

8.0ms	(+ x (* y (sqrt z)))
14.0ms	(* y (sqrt z))

series128.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ x (* y (sqrt z)))
77.0ms	(* y (sqrt z))

simplify2.1s

Counts

39 → 39

Iterations

Iter	Nodes
done	5003
3	1906
2	690
1	227
0	86

prune237.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt z))
0.2b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

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 z))
2.0ms	(sqrt (sqrt z))
12.0ms	(* y (sqrt (sqrt z)))
39.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series588.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(sqrt (sqrt z))
191.0ms	(sqrt (sqrt z))
125.0ms	(* y (sqrt (sqrt z)))
70.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify3.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	5006
3	4602
2	1214
1	354
0	132

prune515.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (/ 1 z) -1/4)
0.2b	(sqrt (sqrt z))
0.3b	(* y (pow (/ 1 z) -1/4))
0.3b	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

10.0ms	(pow (/ 1 z) -1/4)
3.0ms	(sqrt (sqrt z))
32.0ms	(* y (pow (/ 1 z) -1/4))
38.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

series703.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(pow (/ 1 z) -1/4)
229.0ms	(sqrt (sqrt z))
93.0ms	(* y (pow (/ 1 z) -1/4))
103.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

simplify1.7s

Counts

131 → 131

Iterations

Iter	Nodes
done	5003
2	2019
1	645
0	235

prune744.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (pow (/ 1 z) -1/4))
0.3b	(* (* y (pow (/ 1 z) -1/4)) (cbrt (* (sqrt (sqrt z)) (sqrt z))))
0.3b	(* (sqrt (sqrt z)) (sqrt z))
0.7b	(cbrt (* (sqrt (sqrt z)) (sqrt z)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
38×	`add-exp-log`
27×	`associate-r`
23×	`sqrt-prod`
20×	`*-un-lft-identity` `prod-exp`
19×	`add-cube-cbrt`
18×	`pow1`
16×	`unpow-prod-down`
13×	`associate-l`
12×	`sqrt-pow1`
11×	`times-frac` `add-cbrt-cube` `unswap-sqr`
8×	`pow1/2` `pow-exp`
6×	`pow-prod-up`
5×	`cbrt-unprod`
4×	`cube-unmult` `div-exp` `pow-prod-down` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-prod` `pow-to-exp` `rec-exp` `pow-plus` `1-exp` `rem-cbrt-cube` `sqr-pow`
1×	`pow1/3` `sqrt-unprod` `div-inv`

Counts

4 → 119

Calls

4 calls:

25.0ms	(* y (pow (/ 1 z) -1/4))
62.0ms	(* (* y (pow (/ 1 z) -1/4)) (cbrt (* (sqrt (sqrt z)) (sqrt z))))
34.0ms	(* (sqrt (sqrt z)) (sqrt z))
14.0ms	(cbrt (* (sqrt (sqrt z)) (sqrt z)))

series737.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* y (pow (/ 1 z) -1/4))
153.0ms	(* (* y (pow (/ 1 z) -1/4)) (cbrt (* (sqrt (sqrt z)) (sqrt z))))
267.0ms	(* (sqrt (sqrt z)) (sqrt z))
215.0ms	(cbrt (* (sqrt (sqrt z)) (sqrt z)))

simplify1.7s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	1775
1	599
0	239

prune867.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes646.0ms

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	13
1	13
0	10

end0.0ms

sample2.0s

Algorithm

intervals

Results

970.0ms	8561×	body	80	valid
508.0ms	8568×	body	80	nan
0.0ms	1×	body	640	valid