Details

sample34.0ms

Algorithm

intervals

Results

19.0ms

336×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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)

rewrite15.0ms

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:

7.0ms	(- (* 3.0 x) 4.0)
6.0ms	(* (fma x (- (* 3.0 x) 4.0) 1.0) 3.0)
0.0ms	(fma x (- (* 3.0 x) 4.0) 1.0)

series178.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- (* 3.0 x) 4.0)
54.0ms	(* (fma x (- (* 3.0 x) 4.0) 1.0) 3.0)
54.0ms	(fma x (- (* 3.0 x) 4.0) 1.0)

simplify567.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
2	769
1	216
0	95

prune305.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite54.0ms

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:

11.0ms	(+ 3.0 (* x (- (* 9.0 x) 12.0)))
13.0ms	(- (* 9.0 x) 12.0)
27.0ms	(* x (- (* 9.0 x) 12.0))

series221.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ 3.0 (* x (- (* 9.0 x) 12.0)))
78.0ms	(- (* 9.0 x) 12.0)
99.0ms	(* x (- (* 9.0 x) 12.0))

simplify871.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	1604
1	329
0	125

prune408.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `flip--`

Counts

2 → 30

Calls

2 calls:

5.0ms	(- 3.0 (* 12.0 x))
0.0ms	(fma 9.0 (* x x) (- 3.0 (* 12.0 x)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- 3.0 (* 12.0 x))
27.0ms	(fma 9.0 (* x x) (- 3.0 (* 12.0 x)))

simplify2.1s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
3	4231
2	529
1	124
0	58

prune168.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite88.0ms

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`
4×	`distribute-lft-neg-out` `sum-log` `fma-def`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`+-commutative` `associate-+r-` `flip3-+` `unsub-neg` `flip-+`
1×	`associate-+r+` `distribute-rgt-out` `associate-l` `*-commutative` `distribute-lft-out`

Counts

3 → 58

Calls

3 calls:

55.0ms	(+ 3.0 (+ (* (* x 9.0) x) (* (- 12.0) x)))
16.0ms	(+ (* (* x 9.0) x) (* (- 12.0) x))
14.0ms	(* (* x 9.0) x)

series141.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ 3.0 (+ (* (* x 9.0) x) (* (- 12.0) x)))
81.0ms	(+ (* (* x 9.0) x) (* (- 12.0) x))
35.0ms	(* (* x 9.0) x)

simplify1.8s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1606
1	280
0	93

prune302.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample955.0ms

Algorithm

intervals

Results

735.0ms

10682×

body

valid