Details

sample106.0ms

Algorithm

intervals

Results

39.0ms	52×	body	1280	valid
25.0ms	145×	body	80	valid
13.0ms	32×	body	640	valid
6.0ms	17×	body	320	valid
2.0ms	10×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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))

rewrite61.0ms

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:

19.0ms	(- (* x (cos y)) (* z (sin y)))
11.0ms	(* z (sin y))
12.0ms	(* x (cos y))

series218.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(- (* x (cos y)) (* z (sin y)))
58.0ms	(* z (sin y))
48.0ms	(* x (cos y))

simplify2.8s

Counts

57 → 57

Iterations

Useful iterations: 2 (114.0ms)

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

prune210.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)))

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:

3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
32.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

series715.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt (cos y))
135.0ms	(cbrt (cos y))
158.0ms	(cbrt (cos y))
252.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

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

prune337.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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))

rewrite105.0ms

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:

35.0ms	(* x (pow (pow (cos y) 2) 1/3))
59.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
5.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series400.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* x (pow (pow (cos y) 2) 1/3))
75.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
32.0ms	(pow (cos y) 2)
147.0ms	(cbrt (cos y))

simplify1.6s

Counts

102 → 102

Iterations

Useful iterations: done (1.6s)

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

prune533.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.3b	(cbrt (pow (pow (cos y) 2) 2/3))
0.3b	(cbrt (pow (cos y) 2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
17×	`unpow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow1/3` `unpow2`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 65

Calls

4 calls:

4.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
6.0ms	(cbrt (pow (pow (cos y) 2) 2/3))
3.0ms	(cbrt (pow (cos y) 2))

series644.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(pow (cos y) 2)
158.0ms	(cbrt (cos y))
213.0ms	(cbrt (pow (pow (cos y) 2) 2/3))
254.0ms	(cbrt (pow (cos y) 2))

simplify3.1s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	119	705
1	266	616
2	943	535
3	3726	522
done	5000	522

prune430.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes267.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	17	17
done	17	17

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.3s	1475×	body	1280	valid
1.1s	4306×	body	80	valid
1.1s	1281×	body	640	valid
202.0ms	625×	body	320	valid
83.0ms	313×	body	160	valid