Details

Time bar (total: 6.6s)

sample128.0ms

Algorithm
intervals
Results
53.0ms241×body80nan
18.0ms256×body80valid

simplify33.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

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)))

rewrite29.0ms

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×insert-posit16 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 → 103
Calls
3 calls:
Slowest
17.0ms
(/ (- 1 x) (+ 1 x))
9.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series214.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
126.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
71.0ms
(/ (- 1 x) (+ 1 x))
18.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify410.0ms

Counts
166 → 112

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

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))))

rewrite23.0ms

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×pow1 associate-/r/ insert-posit16 add-log-exp associate-/l/
1×cbrt-undiv sqrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ div-inv flip--
Counts
2 → 105
Calls
2 calls:
Slowest
15.0ms
(/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
7.0ms
(atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))

series52.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
49.0ms
(/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
3.0ms
(atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))

simplify606.0ms

Counts
175 → 111

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample2.6s

Algorithm
intervals
Results
995.0ms8000×body80valid
926.0ms8062×body80nan