Details

sample129.0ms

Algorithm

intervals

Results

43.0ms	48×	body	1280	valid
27.0ms	46×	body	640	valid
17.0ms	128×	body	80	valid
11.0ms	26×	body	320	valid
2.0ms	8×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize56.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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 (sin y) z (* x (cos y)))
9.0ms	(* x (cos y))

series177.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(fma (sin y) z (* x (cos y)))
51.0ms	(* x (cos y))

simplify4.8s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	4857
3	1134
2	275
1	91
0	50

prune235.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

12.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series694.0ms

Counts

4 → 12

Calls

4 calls:

284.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
127.0ms	(cbrt (cos y))
160.0ms	(cbrt (cos y))
123.0ms	(cbrt (cos y))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	640
1	152
0	68

prune694.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (pow (cos y) 2) 1/3)
0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`unpow-prod-down`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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:

15.0ms	(pow (pow (cos y) 2) 1/3)
63.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
5.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series444.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(pow (pow (cos y) 2) 1/3)
45.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
138.0ms	(cbrt (cos y))

simplify1.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1740
1	364
0	132

prune776.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.3b	(cbrt (pow (pow (cos y) 2) 3))
0.4b	(pow (pow (cos y) 2) 3)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

31×	`unpow-prod-down`
25×	`cbrt-prod`
17×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`cube-prod`
7×	`add-exp-log` `sqr-pow`
6×	`pow-unpow`
5×	`pow1` `add-cbrt-cube` `pow-exp` `unpow2`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp`
2×	`cube-mult` `pow-pow` `pow1/3` `unpow3`
1×	`rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 103

Calls

4 calls:

5.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))
9.0ms	(cbrt (pow (pow (cos y) 2) 3))
18.0ms	(pow (pow (cos y) 2) 3)

series296.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(pow (cos y) 2)
173.0ms	(cbrt (cos y))
29.0ms	(cbrt (pow (pow (cos y) 2) 3))
75.0ms	(pow (pow (cos y) 2) 3)

simplify1.4s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
2	1587
1	312
0	117

prune701.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes306.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.7s	1515×	body	1280	valid
787.0ms	1236×	body	640	valid
566.0ms	4303×	body	80	valid
318.0ms	624×	body	320	valid
70.0ms	322×	body	160	valid