Details

Time bar (total: 8.5s)

sample158.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
18.0ms241×body80nan

simplify93.0ms

Counts
1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

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:
Slowest
36.0ms
(/ (- 1 x) (+ 1 x))
20.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series149.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
76.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
66.0ms
(/ (- 1 x) (+ 1 x))
7.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify393.0ms

Counts
172 → 118

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1 x) (+ 1 x))
0.0b
(expm1 (log1p (/ (- 1 x) (+ 1 x))))
0.0b
(atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))))
0.0b
(sqrt (expm1 (log1p (/ (- 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:
Slowest
18.0ms
(/ (- 1 x) (+ 1 x))
2.0ms
(sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))
1.0ms
(atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))))
0.0ms
(expm1 (log1p (/ (- 1 x) (+ 1 x))))

series281.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
132.0ms
(sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))
116.0ms
(expm1 (log1p (/ (- 1 x) (+ 1 x))))
31.0ms
(/ (- 1 x) (+ 1 x))
3.0ms
(atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))))

simplify632.0ms

Counts
130 → 104

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
88×sqrt-prod
82×*-un-lft-identity
63×times-frac
62×add-sqr-sqrt
38×add-cube-cbrt
16×difference-of-squares
10×distribute-lft-out
9×associate-/l*
8×distribute-lft-out--
7×associate-/r*
4×add-cbrt-cube sqrt-div add-exp-log
2×expm1-log1p-u pow1 associate-/r/ insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×cbrt-undiv sqrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ div-inv flip--
Counts
2 → 109
Calls
2 calls:
Slowest
20.0ms
(/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
7.0ms
(atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))

series72.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
67.0ms
(/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
4.0ms
(atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))

simplify501.0ms

Counts
179 → 115

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.3s8062×body80nan
916.0ms8000×body80valid