Details

sample54.0ms

Algorithm

intervals

Results

21.0ms	53×	body	1280	valid
12.0ms	49×	body	640	valid
7.0ms	129×	body	80	valid
2.0ms	14×	body	320	valid
1.0ms	11×	body	160	valid

simplify5.0ms

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: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (cos y) (* z (sin y)))
0.2b	(* z (sin y))

rewrite5.0ms

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)))
4.0ms	(* z (sin y))

series111.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(fma x (cos y) (* z (sin y)))
42.0ms	(* z (sin y))

simplify1.8s

Counts

36 → 36

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	49	269
1	81	264
2	161	232
3	274	232
4	630	232
5	1997	232
done	5000	232

prune111.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

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))

rewrite11.0ms

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:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series437.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
102.0ms	(cbrt (sin y))
101.0ms	(cbrt (sin y))
109.0ms	(cbrt (sin y))

simplify3.5s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	79	750
1	162	664
2	419	564
3	1358	541
4	4371	531
done	5000	531

prune304.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

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))

rewrite11.0ms

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:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series456.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
109.0ms	(cbrt (sin y))
109.0ms	(cbrt (sin y))
112.0ms	(cbrt (sin y))

simplify3.3s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.7s)

Iter	Nodes	Cost
0	79	750
1	162	664
2	419	564
3	1358	541
4	4371	531
done	5000	531

prune341.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite13.0ms

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:

9.0ms	(* (cbrt z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series783.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt z) (cbrt z))
196.0ms	(cbrt z)
189.0ms	(cbrt z)
188.0ms	(cbrt z)

simplify3.1s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	329	423
3	1180	405
4	3749	400
done	5000	400

prune298.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.1b

regimes141.0ms

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

sample1.6s

Algorithm

intervals

Results

628.0ms	1503×	body	1280	valid
332.0ms	1294×	body	640	valid
225.0ms	4278×	body	80	valid
114.0ms	607×	body	320	valid
44.0ms	318×	body	160	valid