Details

sample20.0ms

Algorithm

intervals

Results

12.0ms

323×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	4353
10	2586
9	1467
8	947
7	764
6	690
5	551
4	318
3	142
2	61
1	26
0	10

prune8.0ms

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)

rewrite438.0ms

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`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`associate-r/` `-commutative`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip-+` `flip--` `distribute-lft-out` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

41.0ms	(- (* (* x 3.0) x) (* x 4.0))
360.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
35.0ms	(* (* x 3.0) x)

series248.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(- (* (* x 3.0) x) (* x 4.0))
52.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
39.0ms	(* (* x 3.0) x)

simplify1.7s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	1260
1	328
0	118

prune367.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--`

Counts

2 → 33

Calls

2 calls:

7.0ms	(- (fma 9.0 (* x x) 3.0) (* x 12.0))
0.0ms	(fma 9.0 (* x x) 3.0)

series142.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- (fma 9.0 (* x x) 3.0) (* x 12.0))
95.0ms	(fma 9.0 (* x x) 3.0)

simplify2.9s

Counts

39 → 39

Iterations

Iter	Nodes
done	5001
3	1967
2	449
1	139
0	56

prune170.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma x (- (* 9.0 x) 12.0) 3.0)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

(fma x (- (* 9.0 x) 12.0) 3.0)

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(fma x (- (* 9.0 x) 12.0) 3.0)

simplify1.8s

Counts

14 → 14

Iterations

Iter	Nodes
done	5002
4	1197
3	269
2	98
1	44
0	24

prune106.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma x (- (* 3.0 x) 4.0) 1.0)
0.1b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (fma x (- (* 3.0 x) 4.0) 1.0) (cbrt 3.0)))
0.1b	(* (fma x (- (* 3.0 x) 4.0) 1.0) (cbrt 3.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log`
10×	`add-sqr-sqrt` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`cbrt-prod` `associate-l`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`fma-udef`

Counts

3 → 61

Calls

3 calls:

0.0ms	(fma x (- (* 3.0 x) 4.0) 1.0)
38.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (fma x (- (* 3.0 x) 4.0) 1.0) (cbrt 3.0)))
9.0ms	(* (fma x (- (* 3.0 x) 4.0) 1.0) (cbrt 3.0))

series221.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(fma x (- (* 3.0 x) 4.0) 1.0)
105.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (fma x (- (* 3.0 x) 4.0) 1.0) (cbrt 3.0)))
72.0ms	(* (fma x (- (* 3.0 x) 4.0) 1.0) (cbrt 3.0))

simplify3.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	5005
3	3617
2	701
1	215
0	97

prune221.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes216.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

857.0ms

10699×

body

valid