Details

sample84.0ms

Algorithm

intervals

Results

30.0ms	299×	body	80	nan
28.0ms	274×	body	80	valid

simplify149.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

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

rewrite24.0ms

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:

9.0ms	(+ x (* y (sqrt z)))
14.0ms	(* y (sqrt z))

series95.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ x (* y (sqrt z)))
55.0ms	(* y (sqrt z))

simplify2.5s

Counts

41 → 41

Iterations

Iter	Nodes
done	5002
3	3924
2	768
1	230
0	88

prune239.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.4b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite71.0ms

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:

1.0ms	(sqrt (sqrt z))
1.0ms	(sqrt (sqrt z))
13.0ms	(* y (sqrt (sqrt z)))
55.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series578.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(sqrt (sqrt z))
179.0ms	(sqrt (sqrt z))
122.0ms	(* y (sqrt (sqrt z)))
69.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.6s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	1699
1	357
0	135

prune498.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt (cbrt z))))
0.4b	(* (* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt (cbrt z)))) (sqrt (sqrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-prod`
21×	`associate-r`
18×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 80

Calls

4 calls:

25.0ms	(* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt (cbrt z))))
68.0ms	(* (* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt (cbrt z)))) (sqrt (sqrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

225.0ms	(* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt (cbrt z))))
324.0ms	(* (* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt (cbrt z)))) (sqrt (sqrt z)))
236.0ms	(cbrt z)
259.0ms	(cbrt z)

simplify2.0s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	2209
1	436
0	169

prune645.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt (fabs (cbrt z))) y) (* (sqrt (sqrt (cbrt z))) (sqrt (sqrt z))))
0.4b	(* (sqrt (sqrt (cbrt z))) (sqrt (sqrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

51×	`sqrt-prod`
37×	`add-sqr-sqrt`
23×	`pow1`
18×	`add-cbrt-cube` `add-exp-log`
15×	`sqrt-pow1`
13×	`-un-lft-identity` `associate-l*` `pow-prod-down` `add-cube-cbrt`
12×	`cbrt-prod` `unswap-sqr`
10×	`associate-r`
9×	`prod-exp` `cbrt-unprod`
5×	`pow1/2`
4×	`pow1/3` `insert-posit16` `add-log-exp`
2×	`*-commutative` `pow-prod-up`
1×	`sqrt-unprod`

Counts

4 → 99

Calls

4 calls:

75.0ms	(* (* (sqrt (fabs (cbrt z))) y) (* (sqrt (sqrt (cbrt z))) (sqrt (sqrt z))))
13.0ms	(* (sqrt (sqrt (cbrt z))) (sqrt (sqrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

396.0ms	(* (* (sqrt (fabs (cbrt z))) y) (* (sqrt (sqrt (cbrt z))) (sqrt (sqrt z))))
287.0ms	(* (sqrt (sqrt (cbrt z))) (sqrt (sqrt z)))
246.0ms	(cbrt z)
241.0ms	(cbrt z)

simplify2.1s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	1996
1	449
0	183

prune704.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes582.0ms

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

sample2.7s

Algorithm

intervals

Results

1.2s	8550×	body	80	valid
973.0ms	8556×	body	80	nan