Details

sample254.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
16.0ms	262×	body	80	nan

simplify16.0ms

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
20×	`times-frac`
13×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
2×	`pow1` `associate-/r/` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `flip-+` `div-inv` `flip--`

Counts

2 → 53

Calls

2 calls:

1.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
61.0ms	(/ (- 1.0 x) (+ 1.0 x))

series168.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
162.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify739.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
2	1051
1	245
0	102

prune264.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(atan (sqrt (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))))
0.0b	(/ (- 1.0 x) (+ x 1.0))
0.0b	(cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))
0.0b	(pow (/ (- 1.0 x) (+ x 1.0)) 3)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

151×	`*-un-lft-identity`
100×	`times-frac`
99×	`add-sqr-sqrt`
58×	`cbrt-prod`
57×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `flip3-+` `flip-+` `div-inv` `associate-/l*`
4×	`associate-/r*` `add-log-exp`
3×	`pow-unpow`
2×	`cube-div` `cube-mult` `cbrt-undiv` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow` `associate-/l/`
1×	`pow-to-exp` `cbrt-div` `clear-num` `pow-pow` `frac-2neg` `flip3--` `pow1/3` `div-sub` `rem-cbrt-cube` `flip--`

Counts

4 → 193

Calls

4 calls:

1.0ms	(atan (sqrt (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))))
41.0ms	(/ (- 1.0 x) (+ x 1.0))
34.0ms	(cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))
28.0ms	(pow (/ (- 1.0 x) (+ x 1.0)) 3)

series199.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(atan (sqrt (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))))
60.0ms	(/ (- 1.0 x) (+ x 1.0))
63.0ms	(cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))
70.0ms	(pow (/ (- 1.0 x) (+ x 1.0)) 3)

simplify2.0s

Counts

205 → 205

Iterations

Iter	Nodes
done	5000
2	4140
1	735
0	211

prune826.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
425.0ms	8212×	body	80	nan