Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

336×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4460
5	1221
4	417
3	151
2	62
1	26
0	10

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `associate-r` `associate-l` `prod-diff` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `unswap-sqr`

Counts

3 → 48

Calls

3 calls:

12.0ms	(- (* 3.0 x) 4.0)
12.0ms	(* (fma x (- (* 3.0 x) 4.0) 1.0) 3.0)
1.0ms	(fma x (- (* 3.0 x) 4.0) 1.0)

series176.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- (* 3.0 x) 4.0)
53.0ms	(* (fma x (- (* 3.0 x) 4.0) 1.0) 3.0)
57.0ms	(fma x (- (* 3.0 x) 4.0) 1.0)

simplify1.1s

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
2	769
1	216
0	95

prune280.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

15×	`prod-diff`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`add-log-exp`
5×	`pow1` `sub-neg` `add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `fma-def` `associate-r` `associate-l` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--`
1×	`+-commutative` `sum-log` `flip3-+` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 76

Calls

3 calls:

13.0ms	(+ 3.0 (* x (- (* 9.0 x) 12.0)))
8.0ms	(- (* 9.0 x) 12.0)
29.0ms	(* x (- (* 9.0 x) 12.0))

series178.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ 3.0 (* x (- (* 9.0 x) 12.0)))
60.0ms	(- (* 9.0 x) 12.0)
91.0ms	(* x (- (* 9.0 x) 12.0))

simplify1.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	1604
1	329
0	125

prune399.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

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)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
3×	`add-sqr-sqrt` `fma-def` `*-un-lft-identity` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `distribute-rgt-neg-out` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `unsub-neg` `flip-+`

Counts

2 → 29

Calls

2 calls:

8.0ms	(+ (fma 9.0 (* x x) 3.0) (* x (- 12.0)))
1.0ms	(fma 9.0 (* x x) 3.0)

series127.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (fma 9.0 (* x x) 3.0) (* x (- 12.0)))
84.0ms	(fma 9.0 (* x x) 3.0)

simplify1.1s

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
2	641
1	133
0	47

prune157.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-+r+` `fma-def` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`sum-log` `sub-neg` `diff-log` `prod-diff`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `fma-neg` `associate-r` `*-commutative` `flip-+` `flip--` `distribute-lft-out`

Counts

3 → 58

Calls

3 calls:

35.0ms	(+ 3.0 (- (* x (* x 9.0)) (* 12.0 x)))
24.0ms	(- (* x (* x 9.0)) (* 12.0 x))
21.0ms	(* x (* x 9.0))

series175.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ 3.0 (- (* x (* x 9.0)) (* 12.0 x)))
108.0ms	(- (* x (* x 9.0)) (* 12.0 x))
35.0ms	(* x (* x 9.0))

simplify1.1s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1149
1	249
0	93

prune249.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	18
3	18
2	17
1	13
0	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.0s

10682×

body

valid