Details

sample77.0ms

Algorithm

intervals

Results

19.0ms	31×	body	1280	valid
16.0ms	182×	body	80	valid
13.0ms	3×	body	160	valid
12.0ms	31×	body	640	valid
2.0ms	9×	body	320	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	2191
8	773
7	280
6	110
5	51
4	42
3	36
2	28
1	14
0	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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`
3×	`associate-r` `associate-l`
2×	`associate-+r+` `sum-log` `sub-neg` `diff-log`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out` `unswap-sqr`

Counts

3 → 46

Calls

3 calls:

20.0ms	(+ (cos y) (- x (* z (sin y))))
4.0ms	(- x (* z (sin y)))
8.0ms	(* z (sin y))

series195.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (cos y) (- x (* z (sin y))))
71.0ms	(- x (* z (sin y)))
55.0ms	(* z (sin y))

simplify1.8s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	3535
2	640
1	202
0	84

prune284.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (cbrt (pow (* (sin y) z) 3)))
0.1b	(* (sin y) z)
0.2b	(pow (* (sin y) z) 3)
33.0b	(cbrt (pow (* (sin y) z) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
10×	`cbrt-prod` `*-un-lft-identity`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt`
6×	`add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `difference-of-squares` `sqr-pow`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow1/3` `diff-log` `*-commutative` `rem-cbrt-cube` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

14.0ms	(- x (cbrt (pow (* (sin y) z) 3)))
11.0ms	(* (sin y) z)
6.0ms	(pow (* (sin y) z) 3)
3.0ms	(cbrt (pow (* (sin y) z) 3))

series380.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(- x (cbrt (pow (* (sin y) z) 3)))
54.0ms	(* (sin y) z)
155.0ms	(pow (* (sin y) z) 3)
71.0ms	(cbrt (pow (* (sin y) z) 3))

simplify1.0s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
2	1444
1	275
0	112

prune431.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (sqrt z) (* (sqrt z) (sin y))))
0.0b	(+ (cos y) (- x (* (sqrt z) (* (sqrt z) (sin y)))))
0.1b	(* (sqrt z) (sin y))
0.2b	(* (sqrt z) (* (sqrt z) (sin y)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
11×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-log-exp`
9×	`add-cube-cbrt`
7×	`sqrt-prod`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+` `sum-log` `sub-neg` `diff-log` `*-commutative` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out`

Counts

4 → 71

Calls

4 calls:

10.0ms	(- x (* (sqrt z) (* (sqrt z) (sin y))))
22.0ms	(+ (cos y) (- x (* (sqrt z) (* (sqrt z) (sin y)))))
21.0ms	(* (sqrt z) (sin y))
46.0ms	(* (sqrt z) (* (sqrt z) (sin y)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- x (* (sqrt z) (* (sqrt z) (sin y))))
109.0ms	(+ (cos y) (- x (* (sqrt z) (* (sqrt z) (sin y)))))
98.0ms	(* (sqrt z) (sin y))
75.0ms	(* (sqrt z) (* (sqrt z) (sin y)))

simplify868.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1576
1	363
0	134

prune413.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sin y))
0.0b	(sqrt (sin y))
0.1b	(* z (sqrt (sin y)))
0.2b	(* (* z (sqrt (sin y))) (sqrt (sin y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

3.0ms	(sqrt (sin y))
3.0ms	(sqrt (sin y))
11.0ms	(* z (sqrt (sin y)))
23.0ms	(* (* z (sqrt (sin y))) (sqrt (sin y)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(sqrt (sin y))
44.0ms	(sqrt (sin y))
103.0ms	(* z (sqrt (sin y)))
65.0ms	(* (* z (sqrt (sin y))) (sqrt (sin y)))

simplify578.0ms

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	1111
1	219
0	83

prune471.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes186.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample2.9s

Algorithm

intervals

Results

855.0ms	840×	body	640	valid
757.0ms	996×	body	1280	valid
712.0ms	5556×	body	80	valid
207.0ms	396×	body	320	valid
48.0ms	210×	body	160	valid
3.0ms	2×	body	2560	valid