Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

332×

body

valid

simplify27.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	19	4
1	45	4
2	82	3
3	127	3
4	168	3
5	224	3
6	359	3
7	666	3
8	763	3
9	763	3
done	763	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- x) (fma 0.12 x 0.253) 1.0)

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:

0.0ms

(fma (- x) (fma 0.12 x 0.253) 1.0)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(fma (- x) (fma 0.12 x 0.253) 1.0)

simplify67.0ms

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	66
1	102	53
2	433	53
3	2132	53
4	5001	53
done	5001	53

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))

series682.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
169.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
169.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
168.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))

simplify41.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	355	1123
1	1234	1046
2	5001	931
done	5001	931

prune274.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b	(cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`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 → 50

Calls

4 calls:

1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
8.0ms	(cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))

series710.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
199.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
170.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
175.0ms	(cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))

simplify99.0ms

Counts

62 → 62

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	332	820
1	1049	761
2	3976	682
3	5001	681
done	5001	681

prune272.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b	(cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`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 → 50

Calls

4 calls:

1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
8.0ms	(cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))

series682.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
170.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
174.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
173.0ms	(cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))

simplify105.0ms

Counts

62 → 62

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	332	820
1	1049	761
2	3976	682
3	5001	681
done	5001	681

prune309.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3
done	7	3

end0.0ms

sample324.0ms

Algorithm

intervals

Results

184.0ms

10584×

body

valid