Details

Time bar (total: 6.4s)

sample187.0ms

Algorithm
intervals
Results
37.0ms256×body80valid
30.0ms279×body80nan

simplify75.0ms

Counts
1 → 1
Iterations
IterNodes
done23
323
221
118
09

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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))

rewrite34.0ms

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:
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
10.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
17.0ms
(/ (- 1 x) (+ 1 x))

series148.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
76.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
65.0ms
(/ (- 1 x) (+ 1 x))

simplify1.1s

Counts
112 → 112
Iterations
IterNodes
done2000
32000
2768
1341
0168

prune839.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1/2 (* x x)) (- 1 x))
0.0b
(atan (+ (* 1/2 (* x x)) (- 1 x)))
0.0b
(* 1/2 (* x x))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-cbrt-cube add-exp-log add-log-exp
5×add-sqr-sqrt
4×*-un-lft-identity add-cube-cbrt
3×associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16
2×associate-+r+ sum-log
1×+-commutative associate-+r- sub-neg flip3-+ diff-log associate-*r* *-commutative flip-+ unswap-sqr
Counts
3 → 44
Calls
3 calls:
20.0ms
(+ (* 1/2 (* x x)) (- 1 x))
2.0ms
(atan (+ (* 1/2 (* x x)) (- 1 x)))
26.0ms
(* 1/2 (* x x))

series60.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ (* 1/2 (* x x)) (- 1 x))
5.0ms
(atan (+ (* 1/2 (* x x)) (- 1 x)))
32.0ms
(* 1/2 (* x x))

simplify1.2s

Counts
53 → 53
Iterations
IterNodes
done2004
32004
2613
1197
075

prune467.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.0s8000×body80valid
779.0ms8199×body80nan