Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	276×	body	80	valid
10.0ms	262×	body	80	nan

simplify147.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma y (sqrt z) x)

rewrite1.0ms

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:

0.0ms

(fma y (sqrt z) x)

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(fma y (sqrt z) x)

simplify2.3s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
5	2811
4	733
3	238
2	105
1	49
0	26

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

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))

rewrite32.0ms

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:

23.0ms	(* (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))
2.0ms	(cbrt (fma y (sqrt z) x))

series1.5s

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x)))
441.0ms	(cbrt (fma y (sqrt z) x))
411.0ms	(cbrt (fma y (sqrt z) x))
366.0ms	(cbrt (fma y (sqrt z) x))

simplify2.0s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
3	2412
2	893
1	343
0	135

prune735.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize57.0ms

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)))
0.6b	(cbrt (* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`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 → 57

Calls

4 calls:

1.0ms	(cbrt (fma y (sqrt z) x))
1.0ms	(cbrt (fma y (sqrt z) x))
1.0ms	(cbrt (cbrt (fma y (sqrt z) x)))
6.0ms	(cbrt (* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x))))

series1.5s

Counts

4 → 12

Calls

4 calls:

375.0ms	(cbrt (fma y (sqrt z) x))
410.0ms	(cbrt (fma y (sqrt z) x))
399.0ms	(cbrt (cbrt (fma y (sqrt z) x)))
339.0ms	(cbrt (* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x))))

simplify2.4s

Counts

69 → 69

Iterations

Iter	Nodes
done	5003
3	3724
2	1132
1	405
0	165

prune598.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`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 → 65

Calls

4 calls:

1.0ms	(cbrt (fma y (sqrt z) x))
3.0ms	(cbrt (cbrt (fma y (sqrt z) x)))
3.0ms	(cbrt (cbrt (fma y (sqrt z) x)))
3.0ms	(cbrt (cbrt (fma y (sqrt z) x)))

series1.5s

Counts

4 → 12

Calls

4 calls:

365.0ms	(cbrt (fma y (sqrt z) x))
367.0ms	(cbrt (cbrt (fma y (sqrt z) x)))
351.0ms	(cbrt (cbrt (fma y (sqrt z) x)))
388.0ms	(cbrt (cbrt (fma y (sqrt z) x)))

simplify2.1s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
3	2381
2	762
1	289
0	120

prune601.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes462.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample1.9s

Algorithm

intervals

Results

974.0ms	8480×	body	80	nan
514.0ms	8541×	body	80	valid