Details

sample28.0ms

Algorithm

intervals

Results

13.0ms

327×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	1501
10	523
9	313
8	232
7	211
6	204
5	193
4	137
3	68
2	28
1	15
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

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:

22.0ms	(* (- y x) 6.0)
5.0ms	(+ x (* (* (- y x) 6.0) z))
43.0ms	(* (* (- y x) 6.0) z)

series162.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (- y x) 6.0)
61.0ms	(+ x (* (* (- y x) 6.0) z))
55.0ms	(* (* (- y x) 6.0) z)

simplify3.1s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
3	3743
2	825
1	253
0	98

prune315.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

8.0ms	(+ x (* (- y x) (* 6.0 z)))
34.0ms	(* (- y x) (* 6.0 z))

series102.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ x (* (- y x) (* 6.0 z)))
49.0ms	(* (- y x) (* 6.0 z))

simplify2.0s

Counts

39 → 39

Iterations

Iter	Nodes
done	5019
3	2913
2	660
1	205
0	75

prune131.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
0.3b	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.6b	(* (- y x) (sqrt 6.0))
0.6b	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

5.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
118.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
21.0ms	(* (- y x) (sqrt 6.0))
40.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series526.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
181.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
61.0ms	(* (- y x) (sqrt 6.0))
103.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1225
1	344
0	130

prune346.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) (sqrt (sqrt 6.0)))
0.3b	(* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
0.3b	(* (* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0)) z)
0.6b	(* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0))

rewrite883.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-cbrt-cube` `add-exp-log`
27×	`associate-r`
24×	`sqrt-prod`
22×	`add-sqr-sqrt`
20×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
8×	`associate-l`
4×	`flip3--` `*-commutative` `flip--` `add-log-exp`
3×	`unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 108

Calls

4 calls:

28.0ms	(* (- y x) (sqrt (sqrt 6.0)))
54.0ms	(* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
608.0ms	(* (* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0)) z)
186.0ms	(* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0))

series524.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (- y x) (sqrt (sqrt 6.0)))
84.0ms	(* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
177.0ms	(* (* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0)) z)
123.0ms	(* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0))

simplify1.7s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	1524
1	404
0	151

prune465.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes218.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample741.0ms

Algorithm

intervals

Results

408.0ms

10138×

body

valid