Details

sample104.0ms

Algorithm

intervals

Results

52.0ms	279×	body	80	nan
34.0ms	256×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.1b	(* 3 (* v v))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`associate-l`
22×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
17×	`sqrt-prod`
12×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
7×	`associate-r` `unswap-sqr`
5×	`prod-exp` `cbrt-unprod`
4×	`sqrt-div` `pow-prod-down`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-r/` `-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
1×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv`

Counts

2 → 77

Calls

2 calls:

31.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
18.0ms	(* 3 (* v v))

series238.0ms

Counts

2 → 6

Calls

2 calls:

205.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
33.0ms	(* 3 (* v v))

simplify3.8s

Counts

83 → 83

Iterations

Iter	Nodes
3	5504
2	1328
1	429
0	168

prune413.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.1b	(* 3 (* v v))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`associate-l`
22×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
17×	`sqrt-prod`
12×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
7×	`associate-r` `unswap-sqr`
5×	`prod-exp` `cbrt-unprod`
4×	`sqrt-div` `pow-prod-down`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-r/` `-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
1×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv`

Counts

2 → 77

Calls

2 calls:

20.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
14.0ms	(* 3 (* v v))

series218.0ms

Counts

2 → 6

Calls

2 calls:

190.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
28.0ms	(* 3 (* v v))

simplify3.6s

Counts

83 → 83

Iterations

Iter	Nodes
3	5504
2	1328
1	429
0	168

prune417.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Iter	Nodes
2	19
1	19
0	16

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.6s	8207×	body	80	nan
1.3s	8000×	body	80	valid