Details

sample89.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
10.0ms	250×	body	80	nan

simplify55.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	11
1	16	11
2	19	11
3	21	11
done	21	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

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-exp-log` `add-cbrt-cube` `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` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num` `flip--`

Counts

3 → 97

Calls

3 calls:

19.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
1.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
34.0ms	(/ (- 1.0 x) (+ 1.0 x))

series261.0ms

Counts

3 → 9

Calls

3 calls:

176.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
7.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
77.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify1.2s

Counts

106 → 106

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	173	1505
1	382	1422
2	1421	1335
done	5001	1331

prune404.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(atan (sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))))
0.0b	(log1p (/ (- 1.0 x) (+ 1.0 x)))
0.0b	(/ (- 1.0 x) (+ 1.0 x))
0.0b	(expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
20×	`times-frac`
15×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`expm1-log1p-u` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`pow1` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `flip3--` `frac-2neg` `flip3-+` `div-sub` `log1p-expm1` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `expm1-udef`

Counts

4 → 79

Calls

4 calls:

1.0ms	(atan (sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))))
0.0ms	(log1p (/ (- 1.0 x) (+ 1.0 x)))
25.0ms	(/ (- 1.0 x) (+ 1.0 x))
1.0ms	(expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))

series422.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(atan (sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))))
146.0ms	(log1p (/ (- 1.0 x) (+ 1.0 x)))
40.0ms	(/ (- 1.0 x) (+ 1.0 x))
229.0ms	(expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))

simplify1.5s

Counts

91 → 91

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	184	1273
1	449	1175
2	1726	1056
done	5002	1052

prune389.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (log (exp (/ (- 1.0 x) (+ 1.0 x)))))
0.0b	(/ (- 1.0 x) (+ 1.0 x))
0.0b	(expm1 (log1p (log (exp (/ (- 1.0 x) (+ 1.0 x))))))
0.0b	(exp (/ (- 1.0 x) (+ 1.0 x)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
40×	`times-frac`
26×	`exp-prod`
25×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`expm1-log1p-u` `associate-/l*` `add-log-exp`
4×	`pow1` `associate-/r*` `associate-/r/` `log1p-expm1-u`
2×	`flip3-+` `div-sub` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `flip3--` `frac-2neg` `exp-diff` `log1p-expm1` `div-exp` `clear-num` `flip--` `rem-exp-log` `expm1-udef`

Counts

4 → 107

Calls

4 calls:

1.0ms	(log1p (log (exp (/ (- 1.0 x) (+ 1.0 x)))))
40.0ms	(/ (- 1.0 x) (+ 1.0 x))
0.0ms	(expm1 (log1p (log (exp (/ (- 1.0 x) (+ 1.0 x))))))
57.0ms	(exp (/ (- 1.0 x) (+ 1.0 x)))

series628.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(log1p (log (exp (/ (- 1.0 x) (+ 1.0 x)))))
48.0ms	(/ (- 1.0 x) (+ 1.0 x))
240.0ms	(expm1 (log1p (log (exp (/ (- 1.0 x) (+ 1.0 x))))))
149.0ms	(exp (/ (- 1.0 x) (+ 1.0 x)))

simplify1.5s

Counts

119 → 119

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	213	1574
1	510	1426
2	1960	1307
done	5002	1303

prune550.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	15
1	15	15
done	15	15

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
523.0ms	7919×	body	80	nan