Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

338×

body

valid

simplify648.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (fma 0.12 x 0.253) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

8.0ms

(* (fma 0.12 x 0.253) x)

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

(* (fma 0.12 x 0.253) x)

simplify4.1s

Counts

23 → 23

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	39	204
1	77	198
2	244	168
3	841	168
4	3494	168
done	5001	168

prune100.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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))

rewrite54.0ms

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:

29.0ms	(* (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))

series884.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(* (cbrt (* (fma 0.12 x 0.253) x)) (cbrt (* (fma 0.12 x 0.253) x)))
241.0ms	(cbrt (* (fma 0.12 x 0.253) x))
178.0ms	(cbrt (* (fma 0.12 x 0.253) x))
189.0ms	(cbrt (* (fma 0.12 x 0.253) x))

simplify1.1s

Counts

78 → 78

Iterations

Useful iterations: done (1.1s)

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

prune410.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))

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:

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

series893.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt (* (fma 0.12 x 0.253) x))
154.0ms	(cbrt (* (fma 0.12 x 0.253) x))
354.0ms	(cbrt x)
200.0ms	(cbrt (fma 0.12 x 0.253))

simplify2.4s

Counts

60 → 60

Iterations

Useful iterations: done (2.4s)

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

prune406.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite39.0ms

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:

29.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

303.0ms	(* (cbrt x) (cbrt x))
362.0ms	(cbrt x)
244.0ms	(cbrt x)
294.0ms	(cbrt x)

simplify5.6s

Counts

93 → 93

Iterations

Useful iterations: done (5.6s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune274.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b 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

sample1.2s

Algorithm

intervals

Results

969.0ms

10735×

body

valid