Details

sample55.0ms

Algorithm

intervals

Results

34.0ms

332×

body

valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	10	13
1	27	13
2	63	11
3	152	10
4	415	10
5	1178	10
6	4312	10
done	5000	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

1.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
13.0ms	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

series104.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
66.0ms	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

simplify1.5s

Counts

38 → 38

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	57	482
1	124	473
2	414	419
3	2134	411
done	5000	405

prune141.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

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

simplify3.6s

Counts

13 → 13

Iterations

Useful iterations: 4 (499.0ms)

Iter	Nodes	Cost
0	23	148
1	43	145
2	111	129
3	418	126
4	3492	123
done	5000	123

prune69.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

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-l` `fma-udef`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`cbrt-prod` `associate-r`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
48.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0)))
11.0ms	(* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0))

series282.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
148.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0)))
79.0ms	(* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0))

simplify1.5s

Counts

73 → 73

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	100	1285
1	277	1265
2	1477	973
done	5002	865

prune279.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (fma 9.0 (pow x 2) 3.0) (* 12.0 x))
0.1b	(fma 9.0 (pow x 2) 3.0)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

21.0ms	(- (fma 9.0 (pow x 2) 3.0) (* 12.0 x))
1.0ms	(fma 9.0 (pow x 2) 3.0)

series134.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- (fma 9.0 (pow x 2) 3.0) (* 12.0 x))
98.0ms	(fma 9.0 (pow x 2) 3.0)

simplify705.0ms

Counts

37 → 37

Iterations

Useful iterations: done (703.0ms)

Iter	Nodes	Cost
0	52	468
1	132	456
2	629	408
done	5000	373

prune111.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample991.0ms

Algorithm

intervals

Results

728.0ms

10710×

body

valid