Details

sample74.0ms

Algorithm

intervals

Results

33.0ms	256×	body	80	valid
9.0ms	256×	pre	80	true

simplify6.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	2437
5	827
4	330
3	143
2	62
1	28
0	12

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize96.0ms

Local error

Found 1 expressions with local error:

23.0b

(- (* 9.0 (pow x 4.0)) (pow y 4.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

7×	`prod-diff`
3×	`add-sqr-sqrt` `unpow-prod-down` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `fma-neg` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `sqr-pow`

Counts

1 → 23

Calls

1 calls:

27.0ms

(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series981.0ms

Counts

1 → 3

Calls

1 calls:

981.0ms

(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify5.5s

Counts

26 → 26

Iterations

Iter	Nodes
done	5002
3	2361
2	640
1	220
0	94

prune380.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize146.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (* (* (- (* 9.0 (pow x 4.0)) (pow y 4.0)) (- (* 9.0 (pow x 4.0)) (pow y 4.0))) (- (* 9.0 (pow x 4.0)) (pow y 4.0))))
23.0b	(- (* 9.0 (pow x 4.0)) (pow y 4.0))
23.0b	(- (* 9.0 (pow x 4.0)) (pow y 4.0))
23.0b	(- (* 9.0 (pow x 4.0)) (pow y 4.0))

rewrite519.0ms

Algorithm

rewrite-expression-head

Rules

30×	`flip3--` `flip--`
28×	`frac-times`
26×	`cbrt-div`
21×	`prod-diff`
14×	`associate-*l/`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
9×	`unpow-prod-down`
8×	`associate-*r/`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `diff-log` `sqr-pow`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 108

Calls

4 calls:

376.0ms	(cbrt (* (* (- (* 9.0 (pow x 4.0)) (pow y 4.0)) (- (* 9.0 (pow x 4.0)) (pow y 4.0))) (- (* 9.0 (pow x 4.0)) (pow y 4.0))))
42.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4.0))
36.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4.0))
51.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series3.9s

Counts

4 → 12

Calls

4 calls:

883.0ms	(cbrt (* (* (- (* 9.0 (pow x 4.0)) (pow y 4.0)) (- (* 9.0 (pow x 4.0)) (pow y 4.0))) (- (* 9.0 (pow x 4.0)) (pow y 4.0))))
1.0s	(- (* 9.0 (pow x 4.0)) (pow y 4.0))
1.0s	(- (* 9.0 (pow x 4.0)) (pow y 4.0))
1.0s	(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify4.9s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	1751
1	461
0	192

prune1.5s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify9.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample1.9s

Algorithm

intervals

Results

972.0ms	8000×	body	80	valid
222.0ms	8000×	pre	80	true