Details

sample640.0ms

Algorithm

intervals

Results

498.0ms	11×	body	320	valid
46.0ms	182×	body	80	valid
29.0ms	31×	body	640	valid
25.0ms	26×	body	1280	valid
2.0ms	6×	body	160	valid

simplify24.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
3	21
2	19
1	13
0	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

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))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
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:

149.0ms	(+ (+ x (sin y)) (* z (cos y)))
12.0ms	(+ x (sin y))
23.0ms	(* z (cos y))

series226.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ (+ x (sin y)) (* z (cos y)))
60.0ms	(+ x (sin y))
85.0ms	(* z (cos y))

simplify5.6s

Counts

52 → 52

Iterations

Iter	Nodes
done	5003
3	2249
2	606
1	202
0	78

prune754.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))

rewrite76.0ms

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:

48.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
3.0ms	(cbrt (cos y))
15.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series1.6s

Counts

4 → 12

Calls

4 calls:

963.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
286.0ms	(cbrt (cos y))
187.0ms	(cbrt (cos y))
183.0ms	(cbrt (cos y))

simplify13.5s

Counts

85 → 85

Iterations

Iter	Nodes
done	5028
4	4896
3	1141
2	366
1	144
0	64

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize111.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (pow (* (cos y) (cos y)) 1/3))
0.2b	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
0.3b	(* (cos y) (cos y))
0.4b	(cbrt (cos y))

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
19×	`add-sqr-sqrt`
16×	`prod-exp`
14×	`associate-r`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
8×	`cbrt-unprod`
7×	`associate-l`
6×	`cbrt-prod`
4×	`pow-exp` `add-log-exp` `unswap-sqr`
3×	`swap-sqr` `*-commutative`
2×	`pow-to-exp` `unpow-prod-down` `unpow1/3` `pow-prod-down` `sqr-pow`
1×	`pow2` `sqr-cos` `pow-plus` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 87

Calls

4 calls:

39.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
248.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
35.0ms	(* (cos y) (cos y))
6.0ms	(cbrt (cos y))

series549.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
97.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
34.0ms	(* (cos y) (cos y))
236.0ms	(cbrt (cos y))

simplify7.6s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	3108
2	978
1	334
0	127

prune1.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize150.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 47

Calls

4 calls:

4.0ms	(cbrt (cbrt (cos y)))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series1.5s

Counts

4 → 12

Calls

4 calls:

464.0ms	(cbrt (cbrt (cos y)))
591.0ms	(cbrt (cos y))
237.0ms	(cbrt (cos y))
216.0ms	(cbrt (cos y))

simplify13.9s

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
5	4163
4	1222
3	413
2	158
1	80
0	46

prune1.6s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes723.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end2.0ms

sample9.4s

Algorithm

intervals

Results

4.8s	5643×	body	80	valid
1.7s	974×	body	1280	valid
1.6s	788×	body	640	valid
221.0ms	387×	body	320	valid
106.0ms	208×	body	160	valid