Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

328×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	13
1	25	13
2	53	11
3	112	11
4	163	11
5	193	11
6	219	11
7	277	11
8	411	11
9	674	11
10	710	11
11	711	11
done	711	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

3.0ms	(- (* x 3.0) 4.0)
11.0ms	(* x (- (* x 3.0) 4.0))
7.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series139.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (* x 3.0) 4.0)
64.0ms	(* x (- (* x 3.0) 4.0))
32.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify2.4s

Counts

67 → 67

Iterations

Useful iterations: 3 (664.0ms)

Iter	Nodes	Cost
0	108	772
1	264	749
2	921	675
3	4272	667
done	5001	667

prune122.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 3.0 (* x (- (* x 9.0) 12.0)))
0.1b	(* x (- (* x 9.0) 12.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

3.0ms	(+ 3.0 (* x (- (* x 9.0) 12.0)))
11.0ms	(* x (- (* x 9.0) 12.0))

series89.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ 3.0 (* x (- (* x 9.0) 12.0)))
66.0ms	(* x (- (* x 9.0) 12.0))

simplify1.4s

Counts

45 → 45

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	76	515
1	185	489
2	583	445
3	2828	445
done	5001	445

prune83.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

5.0ms	(+ (* 3.0 1.0) (* 3.0 (* x (- (* x 3.0) 4.0))))
3.0ms	(- (* x 3.0) 4.0)
11.0ms	(* x (- (* x 3.0) 4.0))
16.0ms	(* 3.0 (* x (- (* x 3.0) 4.0)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (* 3.0 1.0) (* 3.0 (* x (- (* x 3.0) 4.0))))
38.0ms	(- (* x 3.0) 4.0)
64.0ms	(* x (- (* x 3.0) 4.0))
88.0ms	(* 3.0 (* x (- (* x 3.0) 4.0)))

simplify565.0ms

Counts

96 → 96

Iterations

Useful iterations: done (562.0ms)

Iter	Nodes	Cost
0	124	1174
1	306	1092
2	1050	987
done	5001	977

prune158.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(* x (- (* x 3.0) 4.0))
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x (- (* x 3.0) 4.0))))
0.4b	(* (cbrt 3.0) (* x (- (* x 3.0) 4.0)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

34×	`distribute-rgt-in` `distribute-lft-in`
32×	`pow1` `add-exp-log`
20×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`sub-neg`
12×	`associate-*r/`
10×	`add-sqr-sqrt` `associate-l`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-r`
4×	`flip3--` `flip--`
3×	`cbrt-prod` `*-commutative`
1×	`diff-log` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

3.0ms	(- (* x 3.0) 4.0)
11.0ms	(* x (- (* x 3.0) 4.0))
54.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x (- (* x 3.0) 4.0))))
17.0ms	(* (cbrt 3.0) (* x (- (* x 3.0) 4.0)))

series407.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (* x 3.0) 4.0)
64.0ms	(* x (- (* x 3.0) 4.0))
172.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x (- (* x 3.0) 4.0))))
133.0ms	(* (cbrt 3.0) (* x (- (* x 3.0) 4.0)))

simplify630.0ms

Counts

125 → 125

Iterations

Useful iterations: 2 (134.0ms)

Iter	Nodes	Cost
0	149	2004
1	378	1980
2	1370	1495
done	5000	1495

prune206.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	16	13
done	16	13

end0.0ms

sample375.0ms

Algorithm

intervals

Results

262.0ms

10691×

body

valid