Details

sample111.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
10.0ms	239×	body	80	nan

simplify73.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	23
3	23
2	21
1	18
0	9

prune41.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 3 expressions with local error:

0.0b	(atan (sqrt (/ (- 1 x) (+ 1 x))))
0.0b	(sqrt (/ (- 1 x) (+ 1 x)))
0.0b	(/ (- 1 x) (+ 1 x))

rewrite913.0ms

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
49×	`times-frac`
30×	`sqrt-prod`
26×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
6×	`associate-/l*`
5×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`expm1-log1p-u` `insert-posit16` `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 → 109

Calls

3 calls:

1.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
12.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
39.0ms	(/ (- 1 x) (+ 1 x))

series107.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
63.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
39.0ms	(/ (- 1 x) (+ 1 x))

simplify2.4s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
3	2236
2	795
1	360
0	174

prune552.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))))
0.0b	(sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))
0.0b	(expm1 (log1p (/ (- 1 x) (+ 1 x))))
0.0b	(/ (- 1 x) (+ 1 x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
24×	`times-frac`
17×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1` `distribute-lft-out--`
4×	`expm1-log1p-u` `associate-/r*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `expm1-log1p` `clear-num` `frac-2neg` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `div-sub` `div-exp` `flip-+` `div-inv` `flip--` `expm1-udef`

Counts

4 → 92

Calls

4 calls:

1.0ms	(atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))))
1.0ms	(sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))
0.0ms	(expm1 (log1p (/ (- 1 x) (+ 1 x))))
21.0ms	(/ (- 1 x) (+ 1 x))

series260.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))))
131.0ms	(sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))
91.0ms	(expm1 (log1p (/ (- 1 x) (+ 1 x))))
35.0ms	(/ (- 1 x) (+ 1 x))

simplify2.6s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
3	3900
2	1239
1	473
0	203

prune538.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log1p (/ (- 1 x) (+ 1 x))))
0.0b	(sqrt (- (exp (log1p (/ (- 1 x) (+ 1 x)))) 1))
0.0b	(/ (- 1 x) (+ 1 x))
0.0b	(- (exp (log1p (/ (- 1 x) (+ 1 x)))) 1)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
24×	`times-frac`
14×	`difference-of-squares`
9×	`prod-diff`
7×	`sqrt-prod` `distribute-lft-out` `distribute-lft-out--` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `associate-/r*` `insert-posit16` `log1p-expm1-u`
3×	`exp-prod` `flip3--` `fma-neg` `flip--`
2×	`sqrt-div` `difference-of-sqr-1` `associate-/r/` `rem-exp-log` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `expm1-def` `log1p-udef` `clear-num` `sub-neg` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `div-sub` `div-exp` `flip-+` `div-inv`

Counts

4 → 123

Calls

4 calls:

2.0ms	(exp (log1p (/ (- 1 x) (+ 1 x))))
12.0ms	(sqrt (- (exp (log1p (/ (- 1 x) (+ 1 x)))) 1))
35.0ms	(/ (- 1 x) (+ 1 x))
21.0ms	(- (exp (log1p (/ (- 1 x) (+ 1 x)))) 1)

series359.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(exp (log1p (/ (- 1 x) (+ 1 x))))
142.0ms	(sqrt (- (exp (log1p (/ (- 1 x) (+ 1 x)))) 1))
34.0ms	(/ (- 1 x) (+ 1 x))
86.0ms	(- (exp (log1p (/ (- 1 x) (+ 1 x)))) 1)

simplify3.5s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
3	4534
2	1532
1	592
0	248

prune701.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

800.0ms	8000×	body	80	valid
634.0ms	8102×	body	80	nan