Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

338×

body

valid

simplify5.4s

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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)

rewrite323.0ms

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` `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 → 61

Calls

3 calls:

18.0ms	(- (* (* x 3.0) x) (* x 4.0))
284.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
19.0ms	(* (* x 3.0) x)

series222.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(- (* (* x 3.0) x) (* x 4.0))
53.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
34.0ms	(* (* x 3.0) x)

simplify1.7s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	1369
1	330
0	115

prune375.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--`

Counts

2 → 31

Calls

2 calls:

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

series141.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(- (fma (* x x) 9.0 3.0) (* x 12.0))
111.0ms	(fma (* x x) 9.0 3.0)

simplify2.2s

Counts

37 → 37

Iterations

Iter	Nodes
done	5006
3	1688
2	378
1	121
0	54

prune230.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 3.0 x) 4.0)
0.1b	(fma x (- (* 3.0 x) 4.0) 1.0)
0.1b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (fma x (- (* 3.0 x) 4.0) 1.0)))
0.2b	(* (cbrt 3.0) (fma x (- (* 3.0 x) 4.0) 1.0))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l` `fma-udef`
6×	`add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`cbrt-prod` `expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`prod-diff`
2×	`*-commutative` `unswap-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `flip--`

Counts

4 → 82

Calls

4 calls:

7.0ms	(- (* 3.0 x) 4.0)
0.0ms	(fma x (- (* 3.0 x) 4.0) 1.0)
59.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (fma x (- (* 3.0 x) 4.0) 1.0)))
16.0ms	(* (cbrt 3.0) (fma x (- (* 3.0 x) 4.0) 1.0))

series389.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* 3.0 x) 4.0)
65.0ms	(fma x (- (* 3.0 x) 4.0) 1.0)
144.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (fma x (- (* 3.0 x) 4.0) 1.0)))
122.0ms	(* (cbrt 3.0) (fma x (- (* 3.0 x) 4.0) 1.0))

simplify4.1s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
3	4756
2	1174
1	376
0	141

prune469.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

11.0ms	(- (* 9.0 x) 12.0)
28.0ms	(+ (* x (- (* 9.0 x) 12.0)) 3.0)
44.0ms	(* x (- (* 9.0 x) 12.0))

series194.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (* 9.0 x) 12.0)
41.0ms	(+ (* x (- (* 9.0 x) 12.0)) 3.0)
84.0ms	(* x (- (* 9.0 x) 12.0))

simplify2.2s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	3376
2	875
1	329
0	125

prune356.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes33.0ms

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	10
1	10
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

934.0ms

10672×

body

valid