Details

sample61.0ms

Algorithm

intervals

Results

14.0ms	299×	body	80	nan
14.0ms	274×	body	80	valid

simplify565.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	173
8	173
7	167
6	140
5	126
4	101
3	80
2	51
1	21
0	10

prune42.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize86.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma y (sqrt z) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

3.0ms

(fma y (sqrt z) x)

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

(fma y (sqrt z) x)

simplify5.5s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
5	2849
4	731
3	238
2	105
1	49
0	26

prune243.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize118.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x)))
0.5b	(cbrt (fma y (sqrt z) x))
0.5b	(cbrt (fma y (sqrt z) x))
0.5b	(cbrt (fma y (sqrt z) x))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `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 → 85

Calls

4 calls:

33.0ms	(* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x)))
2.0ms	(cbrt (fma y (sqrt z) x))
2.0ms	(cbrt (fma y (sqrt z) x))
3.0ms	(cbrt (fma y (sqrt z) x))

series2.1s

Counts

4 → 12

Calls

4 calls:

448.0ms	(* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x)))
615.0ms	(cbrt (fma y (sqrt z) x))
510.0ms	(cbrt (fma y (sqrt z) x))
544.0ms	(cbrt (fma y (sqrt z) x))

simplify4.7s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
3	2412
2	891
1	343
0	135

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize208.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma y (sqrt z) x))
0.5b	(cbrt (fma y (sqrt z) x))
0.5b	(cbrt (fma y (sqrt z) x))
0.5b	(cbrt (* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 54

Calls

4 calls:

2.0ms	(cbrt (fma y (sqrt z) x))
2.0ms	(cbrt (fma y (sqrt z) x))
2.0ms	(cbrt (fma y (sqrt z) x))
12.0ms	(cbrt (* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x))))

series2.3s

Counts

4 → 12

Calls

4 calls:

596.0ms	(cbrt (fma y (sqrt z) x))
602.0ms	(cbrt (fma y (sqrt z) x))
632.0ms	(cbrt (fma y (sqrt z) x))
512.0ms	(cbrt (* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x))))

simplify5.0s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
3	2479
2	797
1	292
0	118

prune1.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize393.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma y (sqrt z) x))
0.5b	(cbrt (fma y (sqrt z) x))
0.5b	(cbrt (* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x))))
0.5b	(cbrt (* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (fma y (sqrt z) x))
5.0ms	(cbrt (fma y (sqrt z) x))
23.0ms	(cbrt (* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x))))
25.0ms	(cbrt (* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x))))

series2.2s

Counts

4 → 12

Calls

4 calls:

568.0ms	(cbrt (fma y (sqrt z) x))
572.0ms	(cbrt (fma y (sqrt z) x))
552.0ms	(cbrt (* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x))))
521.0ms	(cbrt (* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x))))

simplify5.6s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	2479
2	797
1	292
0	118

prune1.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample2.4s

Algorithm

intervals

Results

791.0ms	8550×	body	80	valid
728.0ms	8556×	body	80	nan