Details

sample110.0ms

Algorithm

intervals

Results

53.0ms	52×	body	1280	valid
19.0ms	46×	body	640	valid
11.0ms	127×	body	80	valid
6.0ms	21×	body	320	valid
2.0ms	10×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
done	19	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))
0.2b	(* x (cos y))

rewrite48.0ms

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`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

13.0ms	(- (* x (cos y)) (* z (sin y)))
19.0ms	(* z (sin y))
15.0ms	(* x (cos y))

series564.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(- (* x (cos y)) (* z (sin y)))
41.0ms	(* z (sin y))
423.0ms	(* x (cos y))

simplify2.8s

Counts

57 → 57

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	82	464
1	185	436
2	577	402
3	2973	402
done	5001	402

prune199.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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))

rewrite40.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

30.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series665.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
124.0ms	(cbrt (cos y))
148.0ms	(cbrt (cos y))
150.0ms	(cbrt (cos y))

simplify1.6s

Counts

85 → 85

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	64	686
1	146	615
2	687	521
done	5001	507

prune380.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (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))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
22×	`add-sqr-sqrt`
19×	`unpow-prod-down`
18×	`associate-r`
16×	`prod-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow-exp`
7×	`pow1` `cbrt-unprod`
6×	`cbrt-prod` `unswap-sqr`
5×	`pow-to-exp` `sqr-pow`
4×	`associate-l` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 90

Calls

4 calls:

38.0ms	(* x (pow (pow (cos y) 2) 1/3))
49.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
9.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series353.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* x (pow (pow (cos y) 2) 1/3))
45.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
31.0ms	(pow (cos y) 2)
142.0ms	(cbrt (cos y))

simplify1.5s

Counts

102 → 102

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	133	1081
1	360	898
2	1784	792
done	5001	774

prune504.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

7.0ms	(pow (cos y) 2)
11.0ms	(cbrt (pow (pow (cos y) 2) 3))
2.0ms	(cbrt (cos y))
12.0ms	(pow (pow (cos y) 2) 3)

series309.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(pow (cos y) 2)
35.0ms	(cbrt (pow (pow (cos y) 2) 3))
164.0ms	(cbrt (cos y))
78.0ms	(pow (pow (cos y) 2) 3)

simplify1.7s

Counts

107 → 107

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	109	1075
1	300	731
2	1569	622
done	5000	602

prune418.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes363.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	20
1	20	20
done	20	20

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.5s	1546×	body	1280	valid
1.1s	4300×	body	80	valid
771.0ms	1214×	body	640	valid
219.0ms	623×	body	320	valid
78.0ms	317×	body	160	valid