Details

sample106.0ms

Algorithm

intervals

Results

43.0ms	263×	body	80	nan
42.0ms	256×	body	80	valid

simplify2.0s

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 2 expressions with local error:

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))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

2523×	`times-frac`
1197×	`add-sqr-sqrt` `*-un-lft-identity`
1050×	`add-cube-cbrt`
900×	`sqrt-prod`
294×	`difference-of-squares`
136×	`associate-/r*`
99×	`associate-/r/`
58×	`div-inv`
49×	`flip3--` `flip--`
27×	`associate-/l*`
16×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 1107

Calls

2 calls:

32.0ms	(/ (/ 4 (- 1 (* v v))) (sqrt (fma (* v v) -3 1)))
28.0ms	(/ (sqrt 2) (/ (/ 4 (- 1 (* v v))) (sqrt (fma (* v v) -3 1))))

series599.0ms

Counts

2 → 6

Calls

2 calls:

293.0ms	(/ (/ 4 (- 1 (* v v))) (sqrt (fma (* v v) -3 1)))
305.0ms	(/ (sqrt 2) (/ (/ 4 (- 1 (* v v))) (sqrt (fma (* v v) -3 1))))

simplify7.0s

Counts

1113 → 1113

Iterations

Iter	Nodes
1	3952
0	1397

prune7.9s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 2 expressions with local error:

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))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

2523×	`times-frac`
1197×	`add-sqr-sqrt` `*-un-lft-identity`
1050×	`add-cube-cbrt`
900×	`sqrt-prod`
294×	`difference-of-squares`
136×	`associate-/r*`
99×	`associate-/r/`
58×	`div-inv`
49×	`flip3--` `flip--`
27×	`associate-/l*`
16×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 1107

Calls

2 calls:

22.0ms	(/ (/ 4 (- 1 (* v v))) (sqrt (fma (* v v) -3 1)))
38.0ms	(/ (sqrt 2) (/ (/ 4 (- 1 (* v v))) (sqrt (fma (* v v) -3 1))))

series727.0ms

Counts

2 → 6

Calls

2 calls:

328.0ms	(/ (/ 4 (- 1 (* v v))) (sqrt (fma (* v v) -3 1)))
399.0ms	(/ (sqrt 2) (/ (/ 4 (- 1 (* v v))) (sqrt (fma (* v v) -3 1))))

simplify7.0s

Counts

1113 → 1113

Iterations

Iter	Nodes
1	3952
0	1397

prune9.0s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize68.0ms

Local error

Found 2 expressions with local error:

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))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

2523×	`times-frac`
1197×	`add-sqr-sqrt` `*-un-lft-identity`
1050×	`add-cube-cbrt`
900×	`sqrt-prod`
294×	`difference-of-squares`
136×	`associate-/r*`
99×	`associate-/r/`
58×	`div-inv`
49×	`flip3--` `flip--`
27×	`associate-/l*`
16×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 1107

Calls

2 calls:

26.0ms	(/ (/ 4 (- 1 (* v v))) (sqrt (fma (* v v) -3 1)))
16.0ms	(/ (sqrt 2) (/ (/ 4 (- 1 (* v v))) (sqrt (fma (* v v) -3 1))))

series646.0ms

Counts

2 → 6

Calls

2 calls:

289.0ms	(/ (/ 4 (- 1 (* v v))) (sqrt (fma (* v v) -3 1)))
357.0ms	(/ (sqrt 2) (/ (/ 4 (- 1 (* v v))) (sqrt (fma (* v v) -3 1))))

simplify7.5s

Counts

1113 → 1113

Iterations

Iter	Nodes
1	3952
0	1397

prune9.9s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Iter	Nodes
1	17
0	17

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
992.0ms	7867×	body	80	nan