Details

sample69.0ms

Algorithm

intervals

Results

26.0ms	51×	body	1280	valid
12.0ms	35×	body	640	valid
11.0ms	148×	body	80	valid
4.0ms	18×	body	320	valid
1.0ms	4×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

18.0ms	(+ (* x (sin y)) (* z (cos y)))
44.0ms	(* z (cos y))
14.0ms	(* x (sin y))

series246.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(+ (* x (sin y)) (* z (cos y)))
69.0ms	(* z (cos y))
69.0ms	(* x (sin y))

simplify1.8s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	3276
2	685
1	194
0	81

prune264.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (cos y)) (* (cbrt (cos y)) z))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
6×	`add-cbrt-cube` `associate-l`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 54

Calls

4 calls:

37.0ms	(* (cbrt (cos y)) (* (cbrt (cos y)) z))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series653.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (cbrt (cos y)) (* (cbrt (cos y)) z))
176.0ms	(cbrt (cos y))
134.0ms	(cbrt (cos y))
159.0ms	(cbrt (cos y))

simplify2.6s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
3	3762
2	583
1	140
0	58

prune500.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sin y))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (cos y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

7.0ms	(* x (sin y))
5.0ms	(pow (cos y) 2)
3.0ms	(cbrt (pow (cos y) 2))
2.0ms	(cbrt (cos y))

series463.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* x (sin y))
18.0ms	(pow (cos y) 2)
227.0ms	(cbrt (pow (cos y) 2))
166.0ms	(cbrt (cos y))

simplify2.0s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
3	3457
2	827
1	239
0	104

prune578.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

30.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms	(* x (sin y))
5.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series271.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
57.0ms	(* x (sin y))
31.0ms	(pow (cos y) 2)
134.0ms	(cbrt (cos y))

simplify931.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1554
1	334
0	125

prune479.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes433.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.5s	1510×	body	1280	valid
743.0ms	645×	body	320	valid
633.0ms	1207×	body	640	valid
592.0ms	4337×	body	80	valid
70.0ms	301×	body	160	valid