Details

sample52.0ms

Algorithm

intervals

Results

24.0ms

473×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1451
4	445
3	160
2	50
1	19
0	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.2b	(* (* y 4.0) (- (* z z) t))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

11.0ms	(- (* z z) t)
17.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
33.0ms	(* (* y 4.0) (- (* z z) t))

series222.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- (* z z) t)
117.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
79.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.3s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1873
1	327
0	103

prune397.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (* z z)))
0.0b	(- (- (* x x) (* (* y 4.0) (* z z))) (* (* y 4.0) (- t)))
9.5b	(* (* y 4.0) (* z z))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-log-exp`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`diff-log`
3×	`add-sqr-sqrt` `sub-neg` `*-un-lft-identity` `add-cube-cbrt`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-` `associate-r` `associate-l` `*-commutative`

Counts

3 → 50

Calls

3 calls:

8.0ms	(- (* x x) (* (* y 4.0) (* z z)))
49.0ms	(- (- (* x x) (* (* y 4.0) (* z z))) (* (* y 4.0) (- t)))
34.0ms	(* (* y 4.0) (* z z))

series245.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(- (* x x) (* (* y 4.0) (* z z)))
112.0ms	(- (- (* x x) (* (* y 4.0) (* z z))) (* (* y 4.0) (- t)))
49.0ms	(* (* y 4.0) (* z z))

simplify1.2s

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
2	1560
1	303
0	100

prune279.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* (* y 4.0) z) z))
0.0b	(- (- (* x x) (* (* (* y 4.0) z) z)) (* (* y 4.0) (- t)))
0.2b	(* (* (* y 4.0) z) z)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `*-un-lft-identity` `diff-log` `add-cube-cbrt`
3×	`sub-neg` `associate-r`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-` `associate-l` `*-commutative`

Counts

3 → 49

Calls

3 calls:

7.0ms	(- (* x x) (* (* (* y 4.0) z) z))
53.0ms	(- (- (* x x) (* (* (* y 4.0) z) z)) (* (* y 4.0) (- t)))
59.0ms	(* (* (* y 4.0) z) z)

series242.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- (* x x) (* (* (* y 4.0) z) z))
111.0ms	(- (- (* x x) (* (* (* y 4.0) z) z)) (* (* y 4.0) (- t)))
39.0ms	(* (* (* y 4.0) z) z)

simplify1.4s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
2	1835
1	315
0	106

prune272.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (- (* z z) t) (* y 4.0)))
5.2b	(* (- (* z z) t) (* y 4.0))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

6.0ms	(- (* z z) t)
7.0ms	(- (* x x) (* (- (* z z) t) (* y 4.0)))
40.0ms	(* (- (* z z) t) (* y 4.0))

series196.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- (* z z) t)
99.0ms	(- (* x x) (* (- (* z z) t) (* y 4.0)))
68.0ms	(* (- (* z z) t) (* y 4.0))

simplify987.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
2	1161
1	280
0	95

prune216.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes433.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	30
3	30
2	23
1	19
0	13

end0.0ms

sample2.3s

Algorithm

intervals

Results

1000.0ms

16134×

body

valid