Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

337×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	46	8
3	91	8
4	142	8
5	182	8
6	243	8
7	866	8
done	5000	8

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `associate-r` `associate-l` `prod-diff`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

12.0ms	(- 1.0 (* (fma 0.12 x 0.253) x))
14.0ms	(* (fma 0.12 x 0.253) x)

series184.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- 1.0 (* (fma 0.12 x 0.253) x))
133.0ms	(* (fma 0.12 x 0.253) x)

simplify854.0ms

Counts

46 → 46

Iterations

Useful iterations: done (851.0ms)

Iter	Nodes	Cost
0	74	529
1	158	499
2	664	450
done	5000	440

prune282.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- x) (fma 0.12 x 0.253) (pow (cbrt 1.0) 3))

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) (fma 0.12 x 0.253) (pow (cbrt 1.0) 3))

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(fma (- x) (fma 0.12 x 0.253) (pow (cbrt 1.0) 3))

simplify5.6s

Counts

13 → 13

Iterations

Useful iterations: 3 (130.0ms)

Iter	Nodes	Cost
0	26	184
1	53	145
2	136	129
3	563	123
4	4149	123
done	5000	123

prune137.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (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))

rewrite55.0ms

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:

30.0ms	(* (cbrt (* (fma 0.12 x 0.253) x)) (cbrt (* (fma 0.12 x 0.253) x)))
7.0ms	(cbrt (* (fma 0.12 x 0.253) x))
7.0ms	(cbrt (* (fma 0.12 x 0.253) x))
7.0ms	(cbrt (* (fma 0.12 x 0.253) x))

series1.0s

Counts

4 → 12

Calls

4 calls:

315.0ms	(* (cbrt (* (fma 0.12 x 0.253) x)) (cbrt (* (fma 0.12 x 0.253) x)))
242.0ms	(cbrt (* (fma 0.12 x 0.253) x))
231.0ms	(cbrt (* (fma 0.12 x 0.253) x))
243.0ms	(cbrt (* (fma 0.12 x 0.253) x))

simplify1.5s

Counts

78 → 78

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	163	1700
1	449	1581
2	1861	1473
done	5001	1318

prune769.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:

2.0ms	(cbrt x)
7.0ms	(cbrt (* (fma 0.12 x 0.253) x))
7.0ms	(cbrt (* (fma 0.12 x 0.253) x))
2.0ms	(cbrt (fma 0.12 x 0.253))

series1.1s

Counts

4 → 12

Calls

4 calls:

384.0ms	(cbrt x)
249.0ms	(cbrt (* (fma 0.12 x 0.253) x))
235.0ms	(cbrt (* (fma 0.12 x 0.253) x))
235.0ms	(cbrt (fma 0.12 x 0.253))

simplify1.2s

Counts

60 → 60

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	153	969
1	369	936
2	1327	874
done	5001	700

prune556.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes109.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	21
1	16	21
done	16	21

end0.0ms

sample1.1s

Algorithm

intervals

Results

705.0ms

10763×

body

valid