Details

sample129.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
9.0ms	270×	body	80	nan

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
3	21
2	19
1	16
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize479.0ms

Local error

Found 3 expressions with local error:

0.0b	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b	(/ (- 1.0 x) (+ 1.0 x))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
41×	`times-frac`
26×	`sqrt-prod`
24×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `sqrt-div` `div-sub` `div-exp` `flip--`

Counts

3 → 97

Calls

3 calls:

1.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
29.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
39.0ms	(/ (- 1.0 x) (+ 1.0 x))

series223.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
132.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
87.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify1.7s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1484
1	370
0	168

prune538.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (+ 1.0 x))
0.0b	(cbrt (+ 1.0 x))
0.0b	(cbrt (+ 1.0 x))
0.0b	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

6.0ms	(cbrt (+ 1.0 x))
6.0ms	(cbrt (+ 1.0 x))
6.0ms	(cbrt (+ 1.0 x))
57.0ms	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

series533.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (+ 1.0 x))
143.0ms	(cbrt (+ 1.0 x))
118.0ms	(cbrt (+ 1.0 x))
158.0ms	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

simplify1.4s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
2	1247
1	347
0	143

prune849.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify6.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample1.5s

Algorithm

intervals

Results

650.0ms	8000×	body	80	valid
538.0ms	7944×	body	80	nan