Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(+ x (* (* (- y x) 6.0) z))
0.2b	(* (* (- y x) 6.0) z)

rewrite94.0ms

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`
3×	`insert-posit16`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

33.0ms	(* (- y x) 6.0)
10.0ms	(+ x (* (* (- y x) 6.0) z))
50.0ms	(* (* (- y x) 6.0) z)

series149.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* (- y x) 6.0)
62.0ms	(+ x (* (* (- y x) 6.0) z))
56.0ms	(* (* (- y x) 6.0) z)

simplify2.8s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
3	3692
2	828
1	256
0	101

prune219.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (* 6.0 z)))
0.4b	(* (- y x) (* 6.0 z))

rewrite49.0ms

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/` `insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `associate-r` `*-commutative` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

11.0ms	(+ x (* (- y x) (* 6.0 z)))
37.0ms	(* (- y x) (* 6.0 z))

series116.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+ x (* (- y x) (* 6.0 z)))
58.0ms	(* (- y x) (* 6.0 z))

simplify1.8s

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
3	2919
2	661
1	207
0	77

prune168.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
0.2b	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.6b	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))
0.6b	(* (- y x) (sqrt 6.0))

rewrite273.0ms

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`
4×	`insert-posit16`
3×	`flip3--` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 87

Calls

4 calls:

7.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
164.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
69.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))
31.0ms	(* (- y x) (sqrt 6.0))

series607.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
180.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
140.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))
76.0ms	(* (- y x) (sqrt 6.0))

simplify1.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1222
1	349
0	134

prune367.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) z)
0.3b	(* (* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
0.3b	(* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0)))
0.6b	(* (- y x) (sqrt 6.0))

rewrite940.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-cbrt-cube` `add-exp-log`
27×	`associate-r`
22×	`sqrt-prod`
20×	`add-sqr-sqrt` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
8×	`associate-l`
4×	`flip3--` `*-commutative` `insert-posit16` `flip--` `add-log-exp`
2×	`unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 111

Calls

4 calls:

638.0ms	(* (* (* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) z)
212.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
62.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0)))
24.0ms	(* (- y x) (sqrt 6.0))

series974.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (* (* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) z)
453.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
247.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0)))
85.0ms	(* (- y x) (sqrt 6.0))

simplify1.5s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1626
1	422
0	157

prune401.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes183.0ms

Accuracy

0% (0.2b 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

sample739.0ms

Algorithm

intervals

Results

510.0ms

10012×

body

valid