Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

325×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	3203
9	724
8	385
7	336
6	305
5	231
4	149
3	65
2	29
1	15
0	8

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (- x y))
0.0b	(- x (* 6.0 (* z (- x y))))
0.3b	(* 6.0 (* z (- x y)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

18×	`distribute-rgt-in` `distribute-lft-in`
11×	`sub-neg`
10×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
8×	`*-un-lft-identity` `associate--r+`
6×	`associate-r` `associate-l` `associate-*r/` `add-cube-cbrt`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`flip3--` `flip--`
2×	`*-commutative`
1×	`diff-log` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

33.0ms	(* z (- x y))
13.0ms	(- x (* 6.0 (* z (- x y))))
38.0ms	(* 6.0 (* z (- x y)))

series252.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* z (- x y))
89.0ms	(- x (* 6.0 (* z (- x y))))
94.0ms	(* 6.0 (* z (- x y)))

simplify686.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1027
1	279
0	109

prune346.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (pow (* (* 6.0 z) (- x y)) 1))
0.3b	(* (* 6.0 z) (- x y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`add-log-exp`
3×	`sub-neg` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod` `difference-of-squares`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`diff-log` `associate-l` `*-commutative` `sqr-pow`

Counts

2 → 41

Calls

2 calls:

8.0ms	(- x (pow (* (* 6.0 z) (- x y)) 1))
25.0ms	(* (* 6.0 z) (- x y))

series135.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(- x (pow (* (* 6.0 z) (- x y)) 1))
67.0ms	(* (* 6.0 z) (- x y))

simplify887.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	5002
2	1379
1	254
0	94

prune236.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) z)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

5.0ms	(+ x (* (* (- y x) 6.0) z))
19.0ms	(* (- y x) 6.0)
38.0ms	(* (* (- y x) 6.0) z)

series172.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ x (* (* (- y x) 6.0) z))
39.0ms	(* (- y x) 6.0)
57.0ms	(* (* (- y x) 6.0) z)

simplify897.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	1295
1	253
0	98

prune253.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- x y))
0.0b	(- x (* (sqrt 6.0) (* (sqrt 6.0) (* z (- x y)))))
0.5b	(* (sqrt 6.0) (* z (- x y)))
0.5b	(* (sqrt 6.0) (* (sqrt 6.0) (* z (- x y))))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

58×	`distribute-rgt-in` `distribute-lft-in`
23×	`sub-neg`
20×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`associate--r+`
15×	`associate-l`
14×	`add-sqr-sqrt`
12×	`-un-lft-identity` `associate-r/`
10×	`pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
7×	`associate-r`
6×	`sqrt-prod` `add-log-exp`
4×	`flip3--` `flip--`
3×	`*-commutative`
1×	`diff-log` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

32.0ms	(* z (- x y))
20.0ms	(- x (* (sqrt 6.0) (* (sqrt 6.0) (* z (- x y)))))
47.0ms	(* (sqrt 6.0) (* z (- x y)))
112.0ms	(* (sqrt 6.0) (* (sqrt 6.0) (* z (- x y))))

series669.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* z (- x y))
273.0ms	(- x (* (sqrt 6.0) (* (sqrt 6.0) (* z (- x y)))))
119.0ms	(* (sqrt 6.0) (* z (- x y)))
219.0ms	(* (sqrt 6.0) (* (sqrt 6.0) (* z (- x y))))

simplify1.1s

Counts

139 → 139

Iterations

Iter	Nodes
done	5001
2	1864
1	413
0	162

prune453.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

555.0ms

10190×

body

valid