Details

Time bar (total: 8.3s)

sample177.0ms

Algorithm
intervals
Results
61.0ms228×body80nan
34.0ms256×body80valid

simplify34.0ms

Counts
1 → 1
Iterations
IterNodes
done23
323
221
118
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite409.0ms

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:
386.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
16.0ms
(/ (- 1 x) (+ 1 x))
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series122.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
33.0ms
(/ (- 1 x) (+ 1 x))
16.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify687.0ms

Counts
112 → 112
Iterations
IterNodes
done2000
2798
1341
0168

prune462.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

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) (+ x 1))))
32.0ms
(/ (- 1 x) (+ x 1))
20.0ms
(sqrt (/ (- 1 x) (+ x 1)))

series90.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(atan (sqrt (/ (- 1 x) (+ x 1))))
33.0ms
(/ (- 1 x) (+ x 1))
53.0ms
(sqrt (/ (- 1 x) (+ x 1)))

simplify866.0ms

Counts
112 → 112
Iterations
IterNodes
done2001
2879
1348
0169

prune504.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
248×sqrt-prod
212×add-sqr-sqrt
193×*-un-lft-identity
179×times-frac
92×add-cube-cbrt
51×associate-*r*
30×associate-*l* difference-of-squares
24×unswap-sqr
23×distribute-lft-out
15×sqrt-div distribute-lft-out--
14×associate-/r*
13×pow1
12×add-exp-log
10×add-cbrt-cube associate-/r/
9×sqrt-pow1 associate-/l*
6×pow-flip
5×rem-sqrt-square flip3-+ pow1/2 flip-+ div-inv
4×insert-posit16 add-log-exp
3×div-exp pow-prod-down
2×cbrt-undiv clear-num frac-2neg inv-pow associate-/l/
1×frac-times rec-exp flip3-- sqrt-unprod 1-exp div-sub associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod flip--
Counts
4 → 295
Calls
4 calls:
14.0ms
(sqrt (/ 1 (sqrt (+ x 1))))
55.0ms
(* (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (/ (- 1 x) (sqrt (+ x 1)))))
19.0ms
(/ (- 1 x) (sqrt (+ x 1)))
18.0ms
(/ 1 (sqrt (+ x 1)))

series238.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(sqrt (/ 1 (sqrt (+ x 1))))
70.0ms
(* (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (/ (- 1 x) (sqrt (+ x 1)))))
65.0ms
(/ (- 1 x) (sqrt (+ x 1)))
52.0ms
(/ 1 (sqrt (+ x 1)))

simplify1.1s

Counts
307 → 307
Iterations
IterNodes
done2004
21709
1760
0377

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.0s8000×body80valid
810.0ms7785×body80nan