Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

325×

body

valid

simplify1.9s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

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:

9.0ms	(+ x (* (* (- y x) 6.0) z))
29.0ms	(* (- y x) 6.0)
51.0ms	(* (* (- y x) 6.0) z)

series183.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ x (* (* (- y x) 6.0) z))
47.0ms	(* (- y x) 6.0)
69.0ms	(* (* (- y x) 6.0) z)

simplify2.9s

Counts

62 → 62

Iterations

Iter	Nodes
done	5002
3	3691
2	821
1	253
0	98

prune308.0ms

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

rewrite57.0ms

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:

10.0ms	(+ x (* (- y x) (* 6.0 z)))
46.0ms	(* (- y x) (* 6.0 z))

series129.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ x (* (- y x) (* 6.0 z)))
63.0ms	(* (- y x) (* 6.0 z))

simplify2.0s

Counts

39 → 39

Iterations

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

prune154.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

18×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-sqr-sqrt` `pow1` `sub-neg` `add-cbrt-cube` `add-exp-log`
8×	`associate-+r+` `*-un-lft-identity`
6×	`associate-r` `associate-l` `associate-*r/` `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 → 73

Calls

3 calls:

31.0ms	(* z (- y x))
11.0ms	(+ x (* 6.0 (* z (- y x))))
30.0ms	(* 6.0 (* z (- y x)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* z (- y x))
68.0ms	(+ x (* 6.0 (* z (- y x))))
61.0ms	(* 6.0 (* z (- y x)))

simplify2.8s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	4343
2	839
1	276
0	107

prune277.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

58×	`distribute-rgt-in` `distribute-lft-in`
22×	`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`
3×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

18.0ms	(* z (- y x))
12.0ms	(+ x (* (sqrt 6.0) (* (sqrt 6.0) (* z (- y x)))))
71.0ms	(* (sqrt 6.0) (* (sqrt 6.0) (* z (- y x))))
31.0ms	(* (sqrt 6.0) (* z (- y x)))

series614.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* z (- y x))
187.0ms	(+ x (* (sqrt 6.0) (* (sqrt 6.0) (* z (- y x)))))
220.0ms	(* (sqrt 6.0) (* (sqrt 6.0) (* z (- y x))))
154.0ms	(* (sqrt 6.0) (* z (- y x)))

simplify1.3s

Counts

138 → 138

Iterations

Iter	Nodes
done	5003
2	1425
1	400
0	161

prune419.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes232.0ms

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	11
1	11
0	8

end0.0ms

sample739.0ms

Algorithm

intervals

Results

433.0ms

10184×

body

valid