Details

sample121.0ms

Algorithm

intervals

Results

47.0ms	256×	body	80	valid
11.0ms	226×	body	80	nan

simplify169.0ms

Counts

1 → 1

Iterations

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

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 88

Calls

2 calls:

48.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
121.0ms	(/ (- 1.0 x) (+ 1.0 x))

series235.0ms

Counts

2 → 6

Calls

2 calls:

156.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
78.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify1.3s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	1295
1	347
0	154

prune311.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))
0.0b	(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
0.0b	(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
41×	`times-frac`
37×	`add-cube-cbrt`
26×	`associate-l`
21×	`difference-of-squares`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
8×	`pow1`
7×	`flip3--` `flip--`
5×	`sqrt-div` `associate-r` `associate-/l*`
4×	`frac-times` `associate-/r` `associate-r/` `associate-/r/`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `sqrt-pow1` `div-exp` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow1/2` `div-sub` `*-commutative` `sqrt-prod`

Counts

3 → 141

Calls

3 calls:

21.0ms	(/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))
26.0ms	(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
62.0ms	(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

series202.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))
96.0ms	(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
52.0ms	(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

simplify2.4s

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
2	4626
1	731
0	253

prune701.0ms

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

1.0s	8000×	body	80	valid
493.0ms	7970×	body	80	nan