Details

sample36.0ms

Algorithm

intervals

Results

23.0ms

348×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 3.0 x) 4.0)
0.2b	(* (- (* 3.0 x) 4.0) (* 3.0 x))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

11.0ms	(- (* 3.0 x) 4.0)
42.0ms	(* (- (* 3.0 x) 4.0) (* 3.0 x))

series171.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(- (* 3.0 x) 4.0)
107.0ms	(* (- (* 3.0 x) 4.0) (* 3.0 x))

simplify3.3s

Counts

38 → 38

Iterations

Iter	Nodes
done	5001
3	4526
2	627
1	153
0	61

prune169.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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:

11.0ms	(- (* x 9.0) 12.0)
43.0ms	(* x (- (* x 9.0) 12.0))

series167.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(- (* x 9.0) 12.0)
117.0ms	(* x (- (* x 9.0) 12.0))

simplify2.2s

Counts

42 → 42

Iterations

Iter	Nodes
done	5001
3	3998
2	595
1	156
0	62

prune175.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite303.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

277.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
25.0ms	(* (* x 3.0) x)

series79.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
37.0ms	(* (* x 3.0) x)

simplify1.6s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
2	1428
1	250
0	85

prune213.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite212.0ms

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-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`diff-log`
1×	`sum-log` `sub-neg` `flip3--` `associate-l` `associate--l+` `*-commutative` `flip--` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

188.0ms	(- (+ (* (* x x) 9.0) 3.0) (* 12.0 x))
23.0ms	(* (* x x) 9.0)

series93.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (+ (* (* x x) 9.0) 3.0) (* 12.0 x))
51.0ms	(* (* x x) 9.0)

simplify995.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
2	1148
1	197
0	70

prune130.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.0s

10565×

body

valid