Details

sample67.0ms

Algorithm

intervals

Results

24.0ms	323×	body	80	nan
14.0ms	278×	body	80	valid

simplify187.0ms

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

prune9.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma y (sqrt z) x)

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(fma y (sqrt z) x)

simplify2.5s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
5	2844
4	746
3	237
2	104
1	48
0	25

prune73.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x)))
0.6b	(cbrt (fma y (sqrt z) x))
0.6b	(cbrt (fma y (sqrt z) x))
0.6b	(cbrt (fma y (sqrt z) x))

rewrite18.0ms

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` `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:

14.0ms	(* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x)))
1.0ms	(cbrt (fma y (sqrt z) x))
1.0ms	(cbrt (fma y (sqrt z) x))
1.0ms	(cbrt (fma y (sqrt z) x))

series1.4s

Counts

4 → 12

Calls

4 calls:

309.0ms	(* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x)))
373.0ms	(cbrt (fma y (sqrt z) x))
398.0ms	(cbrt (fma y (sqrt z) x))
365.0ms	(cbrt (fma y (sqrt z) x))

simplify1.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	2420
2	892
1	341
0	133

prune639.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt (fma y (sqrt z) x))
1.0ms	(cbrt (fma y (sqrt z) x))
1.0ms	(cbrt (fma y (sqrt z) x))
8.0ms	(cbrt (* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x))))

series1.5s

Counts

4 → 12

Calls

4 calls:

421.0ms	(cbrt (fma y (sqrt z) x))
308.0ms	(cbrt (fma y (sqrt z) x))
408.0ms	(cbrt (fma y (sqrt z) x))
329.0ms	(cbrt (* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x))))

simplify2.4s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
3	2408
2	795
1	290
0	116

prune705.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma y (sqrt z) x))
1.0ms	(cbrt (fma y (sqrt z) x))
1.0ms	(cbrt (fma y (sqrt z) x))
8.0ms	(cbrt (fma y (sqrt z) x))

series1.5s

Counts

4 → 12

Calls

4 calls:

389.0ms	(cbrt (fma y (sqrt z) x))
373.0ms	(cbrt (fma y (sqrt z) x))
393.0ms	(cbrt (fma y (sqrt z) x))
379.0ms	(cbrt (fma y (sqrt z) x))

simplify2.9s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
4	4212
3	1250
2	434
1	170
0	71

prune491.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes442.0ms

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

sample2.0s

Algorithm

intervals

Results

919.0ms	8561×	body	80	valid
494.0ms	8568×	body	80	nan
0.0ms	1×	body	640	valid