Details

sample103.0ms

Algorithm

intervals

Results

38.0ms	30×	body	1280	valid
23.0ms	189×	body	80	valid
14.0ms	25×	body	640	valid
4.0ms	9×	body	320	valid
1.0ms	3×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
3	22
2	19
1	13
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

50.0ms	(+ (+ x (sin y)) (* z (cos y)))
9.0ms	(+ x (sin y))
7.0ms	(* z (cos y))

series157.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (+ x (sin y)) (* z (cos y)))
29.0ms	(+ x (sin y))
58.0ms	(* z (cos y))

simplify1.6s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	3410
2	711
1	203
0	79

prune297.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

11.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series661.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
158.0ms	(cbrt (cos y))
119.0ms	(cbrt (cos y))
138.0ms	(cbrt (cos y))

simplify878.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune534.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
22×	`add-sqr-sqrt`
19×	`unpow-prod-down`
16×	`prod-exp`
13×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
11×	`add-cbrt-cube`
9×	`associate-r` `pow-exp`
7×	`pow1` `cbrt-unprod`
6×	`cbrt-prod` `unswap-sqr`
5×	`pow-to-exp` `sqr-pow`
4×	`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:

39.0ms	(* (pow (pow (cos y) 2) 1/3) z)
38.0ms	(* (* (pow (pow (cos y) 2) 1/3) z) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series394.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (pow (pow (cos y) 2) 1/3) z)
58.0ms	(* (* (pow (pow (cos y) 2) 1/3) z) (cbrt (cos y)))
25.0ms	(pow (cos y) 2)
135.0ms	(cbrt (cos y))

simplify1.1s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	1754
1	356
0	136

prune646.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
18×	`associate-l`
17×	`add-sqr-sqrt`
16×	`prod-exp`
14×	`unpow-prod-down`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube`
9×	`pow-exp`
7×	`cbrt-prod` `pow1` `cbrt-unprod`
5×	`pow-to-exp`
4×	`associate-r` `add-log-exp`
3×	`pow-unpow` `sqr-pow`
2×	`unpow1/3` `*-commutative` `unpow2` `unswap-sqr`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 86

Calls

4 calls:

16.0ms	(* (cbrt (cos y)) z)
60.0ms	(* (pow (pow (cos y) 2) 1/3) (* (cbrt (cos y)) z))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series426.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (cos y)) z)
55.0ms	(* (pow (pow (cos y) 2) 1/3) (* (cbrt (cos y)) z))
30.0ms	(pow (cos y) 2)
184.0ms	(cbrt (cos y))

simplify1.0s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	1561
1	350
0	129

prune451.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes284.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample3.2s

Algorithm

intervals

Results

989.0ms	787×	body	640	valid
805.0ms	5610×	body	80	valid
757.0ms	975×	body	1280	valid
131.0ms	425×	body	320	valid
99.0ms	203×	body	160	valid