Details

sample43.0ms

Algorithm

intervals

Results

24.0ms

332×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:

12.0ms

(* (fma 0.12 x 0.253) x)

series102.0ms

Counts

1 → 3

Calls

1 calls:

102.0ms

(* (fma 0.12 x 0.253) x)

simplify4.4s

Counts

23 → 23

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	39	204
1	78	198
2	325	174
3	3157	171
done	5000	168

prune117.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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))

rewrite52.0ms

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:

28.0ms	(* (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))

series902.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (cbrt (* (fma 0.12 x 0.253) x)) (cbrt (* (fma 0.12 x 0.253) x)))
210.0ms	(cbrt (* (fma 0.12 x 0.253) x))
208.0ms	(cbrt (* (fma 0.12 x 0.253) x))
218.0ms	(cbrt (* (fma 0.12 x 0.253) x))

simplify1.2s

Counts

78 → 78

Iterations

Useful iterations: done (1.2s)

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

prune399.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

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))

rewrite10.0ms

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))

series1.0s

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (* (fma 0.12 x 0.253) x))
180.0ms	(cbrt (* (fma 0.12 x 0.253) x))
563.0ms	(cbrt x)
158.0ms	(cbrt (fma 0.12 x 0.253))

simplify677.0ms

Counts

60 → 60

Iterations

Useful iterations: done (674.0ms)

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

prune413.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

18×	`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 → 55

Calls

4 calls:

2.0ms	(cbrt (cbrt (* (fma 0.12 x 0.253) x)))
2.0ms	(cbrt (cbrt (* (fma 0.12 x 0.253) x)))
3.0ms	(cbrt (cbrt (* (fma 0.12 x 0.253) x)))
1.0ms	(cbrt (fma 0.12 x 0.253))

series732.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (cbrt (* (fma 0.12 x 0.253) x)))
230.0ms	(cbrt (cbrt (* (fma 0.12 x 0.253) x)))
185.0ms	(cbrt (cbrt (* (fma 0.12 x 0.253) x)))
144.0ms	(cbrt (fma 0.12 x 0.253))

simplify685.0ms

Counts

67 → 67

Iterations

Useful iterations: done (681.0ms)

Iter	Nodes	Cost
0	151	1441
1	353	1386
2	1200	1298
done	5001	1139

prune463.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes40.0ms

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	7	8
1	8	8
done	8	8

end0.0ms

sample740.0ms

Algorithm

intervals

Results

471.0ms

10686×

body

valid