Details

sample57.0ms

Algorithm

intervals

Results

21.0ms	53×	body	1280	valid
12.0ms	50×	body	640	valid
9.0ms	129×	body	80	valid
3.0ms	20×	body	320	valid
0.0ms	4×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	15	4
2	15	4
done	15	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))
0.1b	(* x (cos y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 54

Calls

3 calls:

10.0ms	(+ (* x (cos y)) (* z (sin y)))
9.0ms	(* z (sin y))
8.0ms	(* x (cos y))

series149.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ (* x (cos y)) (* z (sin y)))
38.0ms	(* z (sin y))
38.0ms	(* x (cos y))

simplify73.0ms

Counts

63 → 63

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	195	268
1	748	244
2	2510	244
3	5003	243
done	5003	243

prune163.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))

rewrite22.0ms

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:

13.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series468.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
101.0ms	(cbrt (cos y))
103.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))

simplify103.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	128	471
1	500	419
2	3232	387
3	5002	381
done	5002	381

prune291.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)
0.4b	(cbrt (cos y))

rewrite53.0ms

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:

5.0ms	(pow (pow (cos y) 2) 1/3)
41.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series328.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(pow (pow (cos y) 2) 1/3)
45.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
97.0ms	(cbrt (cos y))

simplify47.0ms

Counts

99 → 99

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	323	510
1	1357	436
2	5001	412
done	5001	412

prune299.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (pow (cos y) 2) (sqrt 1/3))
0.2b	(* (* x (pow (pow (pow (cos y) 2) (sqrt 1/3)) (sqrt 1/3))) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

6.0ms	(pow (pow (cos y) 2) (sqrt 1/3))
62.0ms	(* (* x (pow (pow (pow (cos y) 2) (sqrt 1/3)) (sqrt 1/3))) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series632.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(pow (pow (cos y) 2) (sqrt 1/3))
334.0ms	(* (* x (pow (pow (pow (cos y) 2) (sqrt 1/3)) (sqrt 1/3))) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
109.0ms	(cbrt (cos y))

simplify51.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	371	712
1	1544	630
2	5001	512
done	5001	512

prune310.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	13
1	20	13
done	20	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

607.0ms	1511×	body	1280	valid
330.0ms	1282×	body	640	valid
227.0ms	4269×	body	80	valid
102.0ms	631×	body	320	valid
35.0ms	307×	body	160	valid