Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

333×

body

valid

simplify414.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	45	8
3	79	8
4	122	8
5	162	8
6	213	8
7	299	8
8	353	8
9	354	8
done	354	8

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* x (+ 0.253 (* x 0.12))))
0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

8.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
5.0ms	(+ 0.253 (* x 0.12))
15.0ms	(* x (+ 0.253 (* x 0.12)))

series125.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
36.0ms	(+ 0.253 (* x 0.12))
64.0ms	(* x (+ 0.253 (* x 0.12)))

simplify1.6s

Counts

71 → 71

Iterations

Useful iterations: 3 (747.0ms)

Iter	Nodes	Cost
0	100	774
1	259	649
2	814	592
3	3415	588
done	5000	588

prune149.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (fma 0.12 x 0.253) x)) (cbrt (* (fma 0.12 x 0.253) x)))
0.6b	(cbrt (* (fma 0.12 x 0.253) x))
0.6b	(cbrt (* (fma 0.12 x 0.253) x))
0.6b	(cbrt (* (fma 0.12 x 0.253) x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

16.0ms	(* (cbrt (* (fma 0.12 x 0.253) x)) (cbrt (* (fma 0.12 x 0.253) x)))
3.0ms	(cbrt (* (fma 0.12 x 0.253) x))
3.0ms	(cbrt (* (fma 0.12 x 0.253) x))
3.0ms	(cbrt (* (fma 0.12 x 0.253) x))

series541.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (* (fma 0.12 x 0.253) x)) (cbrt (* (fma 0.12 x 0.253) x)))
126.0ms	(cbrt (* (fma 0.12 x 0.253) x))
127.0ms	(cbrt (* (fma 0.12 x 0.253) x))
125.0ms	(cbrt (* (fma 0.12 x 0.253) x))

simplify609.0ms

Counts

78 → 78

Iterations

Useful iterations: done (606.0ms)

Iter	Nodes	Cost
0	163	1700
1	413	1581
2	1287	1473
done	5001	1163

prune253.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (fma 0.12 x 0.253) x))
0.6b	(cbrt (* (fma 0.12 x 0.253) x))
0.6b	(cbrt x)
0.8b	(cbrt (fma 0.12 x 0.253))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

3.0ms	(cbrt (* (fma 0.12 x 0.253) x))
3.0ms	(cbrt (* (fma 0.12 x 0.253) x))
1.0ms	(cbrt x)
1.0ms	(cbrt (fma 0.12 x 0.253))

series553.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (* (fma 0.12 x 0.253) x))
132.0ms	(cbrt (* (fma 0.12 x 0.253) x))
176.0ms	(cbrt x)
118.0ms	(cbrt (fma 0.12 x 0.253))

simplify1.4s

Counts

60 → 60

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	153	969
1	366	936
2	1045	874
3	3721	700
done	5000	695

prune246.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (fma 0.12 x 0.253) x))
0.6b	(cbrt (* (fma 0.12 x 0.253) x))
0.6b	(cbrt x)
0.8b	(cbrt (fma 0.12 x 0.253))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

3.0ms	(cbrt (* (fma 0.12 x 0.253) x))
3.0ms	(cbrt (* (fma 0.12 x 0.253) x))
1.0ms	(cbrt x)
1.0ms	(cbrt (fma 0.12 x 0.253))

series565.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (* (fma 0.12 x 0.253) x))
128.0ms	(cbrt (* (fma 0.12 x 0.253) x))
186.0ms	(cbrt x)
119.0ms	(cbrt (fma 0.12 x 0.253))

simplify1.4s

Counts

60 → 60

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	153	969
1	366	936
2	1045	874
3	3721	700
done	5000	695

prune229.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample349.0ms

Algorithm

intervals

Results

197.0ms

10606×

body

valid