Details

Time bar (total: 11.4s)

sample168.0ms

Algorithm
intervals
Results
29.0ms256×body80valid
22.0ms279×body80nan

simplify52.0ms

Counts
1 → 1
Iterations
IterNodes
421
321
219
116
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite30.0ms

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)))
16.0ms
(/ (- 1 x) (+ 1 x))

series144.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
74.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
63.0ms
(/ (- 1 x) (+ 1 x))

simplify6.5s

Counts
112 → 112
Iterations
IterNodes
45069
31817
2739
1331
0168

prune568.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

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-+l+ sum-log
1×+-commutative sub-neg flip3-+ diff-log associate-*r* *-commutative associate-+l- flip-+ unswap-sqr
Counts
3 → 44
Calls
3 calls:
48.0ms
(+ (- 1 x) (* 1/2 (* x x)))
6.0ms
(atan (+ (- 1 x) (* 1/2 (* x x))))
14.0ms
(* 1/2 (* x x))

series66.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (- 1 x) (* 1/2 (* x x)))
5.0ms
(atan (+ (- 1 x) (* 1/2 (* x x))))
33.0ms
(* 1/2 (* x x))

simplify871.0ms

Counts
53 → 53
Iterations
IterNodes
32416
2597
1199
077

prune194.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
211
111
09

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.4s8000×body80valid
828.0ms8199×body80nan