Details

sample90.0ms

Algorithm

intervals

Results

34.0ms	52×	body	1280	valid
19.0ms	46×	body	640	valid
12.0ms	127×	body	80	valid
6.0ms	21×	body	320	valid
2.0ms	10×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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))

rewrite69.0ms

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×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

22.0ms	(+ (* x (cos y)) (* z (sin y)))
34.0ms	(* z (sin y))
10.0ms	(* x (cos y))

series174.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ (* x (cos y)) (* z (sin y)))
45.0ms	(* z (sin y))
44.0ms	(* x (cos y))

simplify2.6s

Counts

56 → 56

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	81	454
1	194	426
2	639	392
3	3554	392
done	5001	392

prune266.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite44.0ms

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:

29.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
7.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series692.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
131.0ms	(cbrt (cos y))
145.0ms	(cbrt (cos y))
158.0ms	(cbrt (cos y))

simplify1.5s

Counts

85 → 85

Iterations

Useful iterations: done (1.5s)

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

prune370.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

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))

rewrite86.0ms

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:

29.0ms	(* x (pow (pow (cos y) 2) 1/3))
45.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series416.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* x (pow (pow (cos y) 2) 1/3))
56.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
31.0ms	(pow (cos y) 2)
157.0ms	(cbrt (cos y))

simplify1.3s

Counts

102 → 102

Iterations

Useful iterations: done (1.3s)

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

prune490.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

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)

rewrite19.0ms

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:

3.0ms	(pow (cos y) 2)
6.0ms	(cbrt (pow (pow (cos y) 2) 3))
1.0ms	(cbrt (cos y))
6.0ms	(pow (pow (cos y) 2) 3)

series303.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(pow (cos y) 2)
20.0ms	(cbrt (pow (pow (cos y) 2) 3))
185.0ms	(cbrt (cos y))
80.0ms	(pow (pow (cos y) 2) 3)

simplify2.1s

Counts

107 → 107

Iterations

Useful iterations: done (2.1s)

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

prune460.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes227.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	24
1	23	24
done	23	24

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.4s	1546×	body	1280	valid
1.2s	1214×	body	640	valid
653.0ms	4300×	body	80	valid
254.0ms	623×	body	320	valid
119.0ms	317×	body	160	valid