Details

sample95.0ms

Algorithm

intervals

Results

37.0ms	52×	body	1280	valid
17.0ms	32×	body	640	valid
15.0ms	145×	body	80	valid
5.0ms	17×	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	11	9
done	11	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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))

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:

30.0ms	(+ (* x (cos y)) (* z (sin y)))
19.0ms	(* z (sin y))
19.0ms	(* x (cos y))

series206.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ (* x (cos y)) (* z (sin y)))
55.0ms	(* z (sin y))
66.0ms	(* x (cos y))

simplify2.5s

Counts

56 → 56

Iterations

Useful iterations: 2 (83.0ms)

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

prune191.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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:

2.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
19.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

series620.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (cos y))
120.0ms	(cbrt (cos y))
171.0ms	(cbrt (cos y))
207.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	64	686
1	146	615
2	626	521
done	5000	507

prune373.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

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:

30.0ms	(* x (pow (pow (cos y) 2) 1/3))
69.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series356.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* x (pow (pow (cos y) 2) 1/3))
46.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
19.0ms	(pow (cos y) 2)
122.0ms	(cbrt (cos y))

simplify1.4s

Counts

102 → 102

Iterations

Useful iterations: done (1.4s)

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

prune496.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (pow (cos y) 2)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.3b	(cbrt (pow (cos y) 2))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
30×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`unpow-prod-down` `associate-l`
10×	`unswap-sqr`
7×	`pow1` `add-exp-log`
6×	`associate-r` `unpow2`
5×	`sqr-pow`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-prod-down`
1×	`pow-to-exp` `pow-pow` `pow3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

47.0ms	(* (cbrt (pow (cos y) 2)) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))
5.0ms	(cbrt (pow (cos y) 2))

series447.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (cbrt (pow (cos y) 2)) (cbrt (cos y)))
30.0ms	(pow (cos y) 2)
147.0ms	(cbrt (cos y))
258.0ms	(cbrt (pow (cos y) 2))

simplify959.0ms

Counts

97 → 97

Iterations

Useful iterations: done (954.0ms)

Iter	Nodes	Cost
0	112	939
1	262	857
2	1125	753
done	5001	740

prune520.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes241.0ms

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	14	17
1	18	17
done	18	17

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.7s	1475×	body	1280	valid
752.0ms	1281×	body	640	valid
617.0ms	4306×	body	80	valid
250.0ms	625×	body	320	valid
126.0ms	313×	body	160	valid