Details

sample167.0ms

Algorithm

intervals

Results

74.0ms	256×	body	80	valid
18.0ms	259×	body	80	nan

simplify35.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite118.0ms

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:

32.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
3.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
74.0ms	(/ (- 1 x) (+ 1 x))

series114.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
3.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
37.0ms	(/ (- 1 x) (+ 1 x))

simplify2.4s

Counts

118 → 118

Iterations

Iter	Nodes
done	5006
3	2085
2	801
1	360
0	174

prune447.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
62×	`add-sqr-sqrt`
42×	`times-frac`
36×	`sqrt-prod`
28×	`add-cube-cbrt`
16×	`difference-of-squares`
9×	`distribute-lft-out`
8×	`distribute-lft-out--`
7×	`associate-/r*`
6×	`pow1` `add-cbrt-cube` `sqrt-div` `add-exp-log` `associate-/l*`
4×	`expm1-log1p-u` `hypot-def` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `hypot-1-def` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `div-inv` `flip--`

Counts

4 → 129

Calls

4 calls:

1.0ms	(atan (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))
7.0ms	(sqrt (+ 1 x))
7.0ms	(sqrt (+ 1 x))
28.0ms	(/ (- 1 x) (sqrt (+ 1 x)))

series113.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(atan (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))
25.0ms	(sqrt (+ 1 x))
25.0ms	(sqrt (+ 1 x))
61.0ms	(/ (- 1 x) (sqrt (+ 1 x)))

simplify3.3s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
4	4649
3	1878
2	698
1	340
0	161

prune642.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

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:

2.0ms	(sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))
0.0ms	(expm1 (log1p (/ (- 1 x) (+ 1 x))))
1.0ms	(atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))))
38.0ms	(/ (- 1 x) (+ 1 x))

series272.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))
95.0ms	(expm1 (log1p (/ (- 1 x) (+ 1 x))))
3.0ms	(atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))))
38.0ms	(/ (- 1 x) (+ 1 x))

simplify2.6s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
3	4197
2	1240
1	473
0	203

prune509.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity`
55×	`add-sqr-sqrt`
48×	`times-frac`
31×	`log-pow`
30×	`exp-prod`
28×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `associate-/r*` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod`
2×	`flip3-+` `div-sub` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `log-div` `expm1-log1p` `clear-num` `frac-2neg` `flip3--` `exp-diff` `div-exp` `rem-log-exp` `flip--` `expm1-udef`

Counts

4 → 122

Calls

4 calls:

0.0ms	(expm1 (log1p (log (exp (/ (- 1 x) (+ 1 x))))))
1.0ms	(atan (sqrt (expm1 (log1p (log (exp (/ (- 1 x) (+ 1 x))))))))
62.0ms	(log (exp (/ (- 1 x) (+ 1 x))))
28.0ms	(/ (- 1 x) (+ 1 x))

series153.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(expm1 (log1p (log (exp (/ (- 1 x) (+ 1 x))))))
3.0ms	(atan (sqrt (expm1 (log1p (log (exp (/ (- 1 x) (+ 1 x))))))))
29.0ms	(log (exp (/ (- 1 x) (+ 1 x))))
35.0ms	(/ (- 1 x) (+ 1 x))

simplify2.2s

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
3	2136
2	844
1	405
0	213

prune631.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
497.0ms	7784×	body	80	nan