Details

sample81.0ms

Algorithm

intervals

Results

28.0ms	51×	body	1280	valid
17.0ms	47×	body	640	valid
10.0ms	127×	body	80	valid
6.0ms	22×	body	320	valid
2.0ms	9×	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

localize35.0ms

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))

rewrite29.0ms

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:

13.0ms	(+ (* x (sin y)) (* z (cos y)))
7.0ms	(* z (cos y))
8.0ms	(* x (sin y))

series266.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(+ (* x (sin y)) (* z (cos y)))
72.0ms	(* z (cos y))
72.0ms	(* x (sin y))

simplify1.8s

Counts

56 → 56

Iterations

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

prune330.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (* (cbrt (cos y)) z))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite29.0ms

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:

24.0ms	(* (cbrt (cos y)) (* (cbrt (cos y)) z))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series583.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (cbrt (cos y)) (* (cbrt (cos y)) z))
139.0ms	(cbrt (cos y))
159.0ms	(cbrt (cos y))
146.0ms	(cbrt (cos y))

simplify2.5s

Counts

66 → 66

Iterations

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

prune403.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

13.0ms	(* z (cbrt (pow (cos y) 2)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (pow (cos y) 2))

series555.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* z (cbrt (pow (cos y) 2)))
18.0ms	(pow (cos y) 2)
147.0ms	(cbrt (cos y))
253.0ms	(cbrt (pow (cos y) 2))

simplify2.6s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
3	4292
2	932
1	257
0	109

prune518.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.3b	(cbrt (log (exp (pow (cos y) 2))))
0.7b	(log (exp (pow (cos y) 2)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-pow`
16×	`exp-prod`
15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`unpow-prod-down`
7×	`pow1`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `log-prod` `unpow2` `sqr-pow`
2×	`pow1/3`
1×	`pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp`

Counts

4 → 69

Calls

4 calls:

5.0ms	(pow (cos y) 2)
7.0ms	(cbrt (cos y))
4.0ms	(cbrt (log (exp (pow (cos y) 2))))
7.0ms	(log (exp (pow (cos y) 2)))

series407.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(pow (cos y) 2)
145.0ms	(cbrt (cos y))
219.0ms	(cbrt (log (exp (pow (cos y) 2))))
22.0ms	(log (exp (pow (cos y) 2)))

simplify2.5s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
3	3147
2	708
1	225
0	113

prune477.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes282.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.8s	1473×	body	1280	valid
932.0ms	1309×	body	640	valid
495.0ms	4317×	body	80	valid
249.0ms	604×	body	320	valid
147.0ms	297×	body	160	valid