Details

sample33.0ms

Algorithm

intervals

Results

17.0ms

340×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

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

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	(* x (+ 0.253 (* x 0.12)))

rewrite18.0ms

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`
2×	`associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

18.0ms

(* x (+ 0.253 (* x 0.12)))

series135.0ms

Counts

1 → 3

Calls

1 calls:

135.0ms

(* x (+ 0.253 (* x 0.12)))

simplify716.0ms

Counts

27 → 27

Iterations

Useful iterations: done (714.0ms)

Iter	Nodes	Cost
0	52	269
1	166	263
2	795	215
done	5000	212

prune90.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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 x 0.12 0.253) x)) (cbrt (* (fma x 0.12 0.253) x)))
4.0ms	(cbrt (* (fma x 0.12 0.253) x))
4.0ms	(cbrt (* (fma x 0.12 0.253) x))
4.0ms	(cbrt (* (fma x 0.12 0.253) x))

series838.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(* (cbrt (* (fma x 0.12 0.253) x)) (cbrt (* (fma x 0.12 0.253) x)))
191.0ms	(cbrt (* (fma x 0.12 0.253) x))
191.0ms	(cbrt (* (fma x 0.12 0.253) x))
186.0ms	(cbrt (* (fma x 0.12 0.253) x))

simplify1.0s

Counts

78 → 78

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	163	1700
1	449	1581
2	1842	1473
done	5001	1318

prune436.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (fma x 0.12 0.253) x))
0.6b	(cbrt (* (fma x 0.12 0.253) x))
0.7b	(cbrt x)
0.8b	(cbrt (fma x 0.12 0.253))

rewrite20.0ms

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

series876.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt (* (fma x 0.12 0.253) x))
164.0ms	(cbrt (* (fma x 0.12 0.253) x))
313.0ms	(cbrt x)
194.0ms	(cbrt (fma x 0.12 0.253))

simplify838.0ms

Counts

60 → 60

Iterations

Useful iterations: done (836.0ms)

Iter	Nodes	Cost
0	153	969
1	369	936
2	1268	874
done	5000	700

prune427.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
0.8b	(cbrt (fma x 0.12 0.253))
0.8b	(cbrt (fma x 0.12 0.253))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt (fma x 0.12 0.253))
1.0ms	(cbrt (fma x 0.12 0.253))

series951.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(cbrt x)
283.0ms	(cbrt x)
167.0ms	(cbrt (fma x 0.12 0.253))
206.0ms	(cbrt (fma x 0.12 0.253))

simplify2.4s

Counts

64 → 64

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	99	690
1	220	656
2	717	612
3	3413	528
done	5002	484

prune404.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes118.0ms

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

sample606.0ms

Algorithm

intervals

Results

385.0ms

10742×

body

valid