Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

336×

body

valid

simplify902.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	10	13
1	26	13
2	55	11
3	121	11
4	182	11
5	210	11
6	236	11
7	285	11
8	383	11
9	485	11
10	553	11
11	570	11
done	570	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

7.0ms	(+ 1.0 (* x (- (* x 3.0) 4.0)))
7.0ms	(- (* x 3.0) 4.0)
30.0ms	(* x (- (* x 3.0) 4.0))
15.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ 1.0 (* x (- (* x 3.0) 4.0)))
38.0ms	(- (* x 3.0) 4.0)
63.0ms	(* x (- (* x 3.0) 4.0))
32.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify1.7s

Counts

85 → 85

Iterations

Useful iterations: 3 (705.0ms)

Iter	Nodes	Cost
0	119	1014
1	296	982
2	853	884
3	3608	876
done	5000	876

prune148.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

10.0ms	(- (* x 9.0) 12.0)
28.0ms	(* x (- (* x 9.0) 12.0))

series104.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- (* x 9.0) 12.0)
62.0ms	(* x (- (* x 9.0) 12.0))

simplify2.3s

Counts

42 → 42

Iterations

Useful iterations: 3 (205.0ms)

Iter	Nodes	Cost
0	62	401
1	137	395
2	340	351
3	1028	349
4	4094	349
done	5001	349

prune73.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

15.0ms	(+ (* x (* x 9.0)) (* (- 12.0) x))
16.0ms	(* x (* x 9.0))

series103.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(+ (* x (* x 9.0)) (* (- 12.0) x))
29.0ms	(* x (* x 9.0))

simplify1.6s

Counts

37 → 37

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	58	380
1	167	349
2	619	277
3	2060	270
done	5000	269

prune66.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (pow (* 9.0 (* x x)) 1) (* (- 12.0) x))
0.2b	(* 9.0 (* x x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

11.0ms	(+ (pow (* 9.0 (* x x)) 1) (* (- 12.0) x))
19.0ms	(* 9.0 (* x x))

series101.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(+ (pow (* 9.0 (* x x)) 1) (* (- 12.0) x))
26.0ms	(* 9.0 (* x x))

simplify1.6s

Counts

38 → 38

Iterations

Useful iterations: 3 (534.0ms)

Iter	Nodes	Cost
0	63	424
1	168	350
2	601	282
3	2387	278
done	5000	278

prune73.0ms

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

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	17	12
2	21	12
3	22	12
done	22	12

end0.0ms

sample400.0ms

Algorithm

intervals

Results

250.0ms

10583×

body

valid