Details

sample69.0ms

Algorithm

intervals

Results

21.0ms	293×	body	80	nan
20.0ms	271×	body	80	valid

simplify128.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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×	`insert-posit16` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 35

Calls

2 calls:

5.0ms	(+ x (* y (sqrt z)))
10.0ms	(* y (sqrt z))

series98.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ x (* y (sqrt z)))
53.0ms	(* y (sqrt z))

simplify2.2s

Counts

41 → 41

Iterations

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

prune214.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite81.0ms

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:

4.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
12.0ms	(* y (sqrt (sqrt z)))
60.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series565.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(sqrt (sqrt z))
188.0ms	(sqrt (sqrt z))
111.0ms	(* y (sqrt (sqrt z)))
64.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify2.9s

Counts

104 → 104

Iterations

Iter	Nodes
done	5004
3	4986
2	1174
1	355
0	135

prune520.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
0.1b	(sqrt (sqrt z))
0.2b	(* (pow z 1/4) y)
0.3b	(* (* (pow z 1/4) y) (sqrt (sqrt z)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `add-exp-log` `sqrt-prod`
12×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1` `associate-l`
6×	`add-log-exp`
4×	`unpow-prod-down` `sqrt-pow1` `cbrt-unprod` `insert-posit16`
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 → 84

Calls

4 calls:

6.0ms	(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
2.0ms	(sqrt (sqrt z))
15.0ms	(* (pow z 1/4) y)
50.0ms	(* (* (pow z 1/4) y) (sqrt (sqrt z)))

series604.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
194.0ms	(sqrt (sqrt z))
150.0ms	(* (pow z 1/4) y)
168.0ms	(* (* (pow z 1/4) y) (sqrt (sqrt z)))

simplify1.6s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1652
1	488
0	185

prune510.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

4.0ms	(sqrt (sqrt z))
93.0ms	(* (* (pow z (/ 1/4 2)) (* (pow z (/ 1/4 2)) y)) (sqrt (sqrt z)))
12.0ms	(* (pow z (/ 1/4 2)) y)
47.0ms	(* (pow z (/ 1/4 2)) (* (pow z (/ 1/4 2)) y))

series706.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(sqrt (sqrt z))
175.0ms	(* (* (pow z (/ 1/4 2)) (* (pow z (/ 1/4 2)) y)) (sqrt (sqrt z)))
149.0ms	(* (pow z (/ 1/4 2)) y)
146.0ms	(* (pow z (/ 1/4 2)) (* (pow z (/ 1/4 2)) y))

simplify1.6s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	1745
1	524
0	195

prune580.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes426.0ms

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

949.0ms	8643×	body	80	nan
650.0ms	8550×	body	80	valid