Details

sample83.0ms

Algorithm

intervals

Results

33.0ms	254×	body	80	nan
33.0ms	256×	body	80	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
6	2589
5	1659
4	778
3	233
2	71
1	27
0	14

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 4 (- 1 (* v v)))
0.0b	(/ (/ 4 (- 1 (* v v))) (sqrt (fma (* v v) -3 1)))
0.0b	(/ (sqrt 2) (/ (/ 4 (- 1 (* v v))) (sqrt (fma (* v v) -3 1))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

2538×	`times-frac`
1212×	`add-sqr-sqrt` `*-un-lft-identity`
1061×	`add-cube-cbrt`
900×	`sqrt-prod`
302×	`difference-of-squares`
141×	`associate-/r*`
101×	`associate-/r/`
59×	`div-inv`
50×	`flip3--` `flip--`
30×	`associate-/l*`
19×	`add-cbrt-cube` `add-exp-log`
10×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

3 → 1147

Calls

3 calls:

7.0ms	(/ 4 (- 1 (* v v)))
17.0ms	(/ (/ 4 (- 1 (* v v))) (sqrt (fma (* v v) -3 1)))
14.0ms	(/ (sqrt 2) (/ (/ 4 (- 1 (* v v))) (sqrt (fma (* v v) -3 1))))

series691.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 4 (- 1 (* v v)))
307.0ms	(/ (/ 4 (- 1 (* v v))) (sqrt (fma (* v v) -3 1)))
348.0ms	(/ (sqrt 2) (/ (/ 4 (- 1 (* v v))) (sqrt (fma (* v v) -3 1))))

simplify5.8s

Counts

1156 → 1156

Iterations

Iter	Nodes
1	4016
0	1424

prune14.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cbrt (fma (* v v) -3 1)))
0.0b	(/ (sqrt 2) (/ (/ 4 (- 1 (* v v))) (sqrt (cbrt (fma (* v v) -3 1)))))
0.0b	(cbrt (fma (* v v) -3 1))
0.0b	(cbrt (fma (* v v) -3 1))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

3426×	`times-frac`
1602×	`add-sqr-sqrt`
1600×	`*-un-lft-identity`
1470×	`sqrt-prod`
1411×	`add-cube-cbrt`
451×	`cbrt-prod`
378×	`difference-of-squares`
193×	`associate-/r*`
127×	`associate-/r/`
71×	`div-inv`
63×	`flip3--` `flip--`
13×	`add-cbrt-cube` `add-exp-log`
6×	`cbrt-undiv` `div-exp` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`rem-sqrt-square` `sqrt-pow1`
1×	`clear-num` `frac-2neg` `pow1/2`

Counts

4 → 1426

Calls

4 calls:

3.0ms	(sqrt (cbrt (fma (* v v) -3 1)))
32.0ms	(/ (sqrt 2) (/ (/ 4 (- 1 (* v v))) (sqrt (cbrt (fma (* v v) -3 1)))))
2.0ms	(cbrt (fma (* v v) -3 1))
2.0ms	(cbrt (fma (* v v) -3 1))

series810.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(sqrt (cbrt (fma (* v v) -3 1)))
305.0ms	(/ (sqrt 2) (/ (/ 4 (- 1 (* v v))) (sqrt (cbrt (fma (* v v) -3 1)))))
196.0ms	(cbrt (fma (* v v) -3 1))
175.0ms	(cbrt (fma (* v v) -3 1))

simplify20.5s

Counts

1438 → 1438

Iterations

Iter	Nodes
1	5554
0	1937

prune21.6s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Iter	Nodes
2	17
1	17
0	16

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.2s	7882×	body	80	nan
1.2s	8000×	body	80	valid