Details

sample103.0ms

Algorithm

intervals

Results

23.0ms	11×	body	320	valid
21.0ms	29×	body	1280	valid
18.0ms	175×	body	80	valid
15.0ms	33×	body	640	valid
2.0ms	8×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

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:

11.0ms	(+ x (sin y))
30.0ms	(+ (+ x (sin y)) (* z (cos y)))
13.0ms	(* z (cos y))

series194.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (sin y))
79.0ms	(+ (+ x (sin y)) (* z (cos y)))
72.0ms	(* z (cos y))

simplify2.3s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
3	4605
2	778
1	205
0	79

prune307.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:

12.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series741.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
172.0ms	(cbrt (cos y))
160.0ms	(cbrt (cos y))
136.0ms	(cbrt (cos y))

simplify1.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune430.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
21×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`associate-l`
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-r`
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:

27.0ms	(* (cbrt (pow (cos y) 2)) z)
5.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))
4.0ms	(cbrt (pow (cos y) 2))

series627.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (pow (cos y) 2)) z)
23.0ms	(pow (cos y) 2)
157.0ms	(cbrt (cos y))
271.0ms	(cbrt (pow (cos y) 2))

simplify727.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1004
1	255
0	110

prune502.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

37.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
7.0ms	(cbrt (* z (cos y)))
7.0ms	(cbrt (* z (cos y)))
7.0ms	(cbrt (* z (cos y)))

series913.0ms

Counts

4 → 12

Calls

4 calls:

292.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
224.0ms	(cbrt (* z (cos y)))
199.0ms	(cbrt (* z (cos y)))
199.0ms	(cbrt (* z (cos y)))

simplify716.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	862
1	201
0	81

prune508.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes471.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.3s	5669×	body	80	valid
858.0ms	913×	body	1280	valid
548.0ms	846×	body	640	valid
127.0ms	383×	body	320	valid
92.0ms	189×	body	160	valid