Details

sample97.0ms

Algorithm

intervals

Results

35.0ms	47×	body	1280	valid
18.0ms	35×	body	640	valid
16.0ms	145×	body	80	valid
8.0ms	23×	body	320	valid
2.0ms	6×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (cos y) (* z (sin y)))
0.1b	(* z (sin y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x (cos y) (* z (sin y)))
10.0ms	(* z (sin y))

series174.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(fma x (cos y) (* z (sin y)))
75.0ms	(* z (sin y))

simplify3.6s

Counts

36 → 36

Iterations

Useful iterations: 3 (214.0ms)

Iter	Nodes	Cost
0	49	269
1	89	264
2	240	234
3	1121	232
4	4628	232
done	5000	232

prune125.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize350.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

16.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series552.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
123.0ms	(cbrt (sin y))
130.0ms	(cbrt (sin y))
109.0ms	(cbrt (sin y))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	79	750
1	183	664
2	715	564
done	5000	549

prune436.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (sin y) 2)
0.3b	(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
17.6b	(pow (pow (sin y) 2) 1/3)

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`unpow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp`
9×	`pow-exp`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`cbrt-prod` `pow-unpow` `associate-r`
5×	`pow-to-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqr-pow`
2×	`pow-pow` `unpow1/3` `unpow2`
1×	`pow1/3` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 87

Calls

4 calls:

8.0ms	(pow (sin y) 2)
99.0ms	(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
3.0ms	(cbrt (sin y))
14.0ms	(pow (pow (sin y) 2) 1/3)

series380.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(pow (sin y) 2)
46.0ms	(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
146.0ms	(cbrt (sin y))
160.0ms	(pow (pow (sin y) 2) 1/3)

simplify1.5s

Counts

99 → 99

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	151	982
1	416	816
2	1960	726
done	5000	704

prune469.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (sin y) 2)
0.4b	(* (cbrt (pow (sin y) 2)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
16.6b	(cbrt (pow (sin y) 2))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
30×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`unpow-prod-down` `associate-l`
10×	`unswap-sqr`
7×	`pow1` `add-exp-log`
6×	`associate-r` `unpow2`
5×	`sqr-pow`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-prod-down`
1×	`pow-to-exp` `pow-pow` `pow3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

4.0ms	(pow (sin y) 2)
24.0ms	(* (cbrt (pow (sin y) 2)) (cbrt (sin y)))
3.0ms	(cbrt (sin y))
7.0ms	(cbrt (pow (sin y) 2))

series369.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(pow (sin y) 2)
9.0ms	(* (cbrt (pow (sin y) 2)) (cbrt (sin y)))
132.0ms	(cbrt (sin y))
206.0ms	(cbrt (pow (sin y) 2))

simplify962.0ms

Counts

105 → 105

Iterations

Useful iterations: done (957.0ms)

Iter	Nodes	Cost
0	142	1005
1	337	916
2	1411	809
done	5001	798

prune523.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes146.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.2s	1446×	body	1280	valid
1.2s	1231×	body	640	valid
809.0ms	4423×	body	80	valid
254.0ms	589×	body	320	valid
72.0ms	311×	body	160	valid