Details

sample31.0ms

Algorithm

intervals

Results

17.0ms

342×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	2917
5	827
4	303
3	121
2	54
1	25
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* x 3.0) x) (* x 4.0))
0.1b	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b	(* (* x 3.0) x)

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

15.0ms	(- (* (* x 3.0) x) (* x 4.0))
251.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
23.0ms	(* (* x 3.0) x)

series182.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(- (* (* x 3.0) x) (* x 4.0))
47.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
35.0ms	(* (* x 3.0) x)

simplify1.0s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	1734
1	308
0	105

prune247.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* 9.0 (* x x)) 3.0) (* 12.0 x))
0.2b	(* 9.0 (* x x))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

132.0ms	(- (+ (* 9.0 (* x x)) 3.0) (* 12.0 x))
25.0ms	(* 9.0 (* x x))

series58.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(- (+ (* 9.0 (* x x)) 3.0) (* 12.0 x))
32.0ms	(* 9.0 (* x x))

simplify485.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5001
2	967
1	201
0	67

prune187.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 9.0 x) 12.0)
0.1b	(* x (- (* 9.0 x) 12.0))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

12.0ms	(- (* 9.0 x) 12.0)
44.0ms	(* x (- (* 9.0 x) 12.0))

series171.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(- (* 9.0 x) 12.0)
92.0ms	(* x (- (* 9.0 x) 12.0))

simplify2.3s

Counts

42 → 42

Iterations

Iter	Nodes
done	5004
3	4040
2	593
1	153
0	60

prune182.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (* x x) (cbrt 9.0))) 3.0) (* 12.0 x))
0.2b	(* (* x x) (cbrt 9.0))
0.3b	(* (* (cbrt 9.0) (cbrt 9.0)) (* (* x x) (cbrt 9.0)))

rewrite781.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`add-sqr-sqrt` `associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`cbrt-prod`
2×	`diff-log` `associate-l` `*-commutative` `unswap-sqr`
1×	`sum-log` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

3 → 65

Calls

3 calls:

689.0ms	(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (* x x) (cbrt 9.0))) 3.0) (* 12.0 x))
18.0ms	(* (* x x) (cbrt 9.0))
72.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (* x x) (cbrt 9.0)))

series249.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (* x x) (cbrt 9.0))) 3.0) (* 12.0 x))
72.0ms	(* (* x x) (cbrt 9.0))
108.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (* x x) (cbrt 9.0)))

simplify1.6s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	1860
1	312
0	106

prune191.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

745.0ms

10620×

body

valid