Details

sample42.0ms

Algorithm

intervals

Results

23.0ms

342×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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)

rewrite270.0ms

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))
236.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
18.0ms	(* (* x 3.0) x)

series190.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(- (* (* x 3.0) x) (* x 4.0))
54.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
31.0ms	(* (* x 3.0) x)

simplify1.5s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	1734
1	308
0	105

prune233.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite150.0ms

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:

126.0ms	(- (+ (* 9.0 (* x x)) 3.0) (* 12.0 x))
23.0ms	(* 9.0 (* x x))

series72.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(- (+ (* 9.0 (* x x)) 3.0) (* 12.0 x))
43.0ms	(* 9.0 (* x x))

simplify897.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5001
2	967
1	201
0	67

prune186.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:

10.0ms	(- (* 9.0 x) 12.0)
37.0ms	(* x (- (* 9.0 x) 12.0))

series148.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(- (* 9.0 x) 12.0)
98.0ms	(* x (- (* 9.0 x) 12.0))

simplify2.4s

Counts

42 → 42

Iterations

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

prune170.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

8.0ms	(- (* x 3.0) 4.0)
97.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (+ (* x (- (* x 3.0) 4.0)) 1.0) (cbrt 3.0)))
26.0ms	(* x (- (* x 3.0) 4.0))
65.0ms	(* (+ (* x (- (* x 3.0) 4.0)) 1.0) (cbrt 3.0))

series283.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* x 3.0) 4.0)
84.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (+ (* x (- (* x 3.0) 4.0)) 1.0) (cbrt 3.0)))
82.0ms	(* x (- (* x 3.0) 4.0))
75.0ms	(* (+ (* x (- (* x 3.0) 4.0)) 1.0) (cbrt 3.0))

simplify1.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1643
1	392
0	144

prune367.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes192.0ms

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

sample761.0ms

Algorithm

intervals

Results

583.0ms

10701×

body

valid