Details

Time bar (total: 11.5s)

sample160.0ms

Algorithm
intervals
Results
72.0ms256×body80valid
15.0ms259×body80nan

simplify30.0ms

Counts
1 → 1
Iterations
IterNodes
done23
323
221
118
09

prune43.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite190.0ms

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:
31.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
2.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
150.0ms
(/ (- 1 x) (+ 1 x))

series128.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
4.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
42.0ms
(/ (- 1 x) (+ 1 x))

simplify1.6s

Counts
112 → 112
Iterations
IterNodes
done5048
32475
2771
1341
0168

prune550.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
70×*-un-lft-identity
54×add-sqr-sqrt
42×times-frac
36×sqrt-prod
28×add-cube-cbrt
16×difference-of-squares
9×distribute-lft-out
8×distribute-lft-out--
7×associate-/r*
6×pow1 add-cbrt-cube sqrt-div add-exp-log associate-/l*
4×insert-posit16 add-log-exp
3×flip3-+ flip-+
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp div-inv flip--
Counts
4 → 115
Calls
4 calls:
1.0ms
(atan (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))
7.0ms
(sqrt (+ 1 x))
6.0ms
(sqrt (+ 1 x))
24.0ms
(/ (- 1 x) (sqrt (+ 1 x)))

series143.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(atan (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))
35.0ms
(sqrt (+ 1 x))
28.0ms
(sqrt (+ 1 x))
77.0ms
(/ (- 1 x) (sqrt (+ 1 x)))

simplify1.6s

Counts
127 → 127
Iterations
IterNodes
done5000
31891
2680
1322
0155

prune503.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (- 1 x) (fabs (cbrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))
0.0b
(cbrt (+ 1 x))
0.0b
(cbrt (+ 1 x))
0.0b
(/ (- 1 x) (fabs (cbrt (+ 1 x))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
436×times-frac
357×*-un-lft-identity
307×add-sqr-sqrt
196×add-cube-cbrt
161×sqrt-prod
100×cbrt-prod
74×difference-of-squares
37×distribute-lft-out--
28×associate-/l*
25×distribute-lft-out
13×associate-/r* div-inv
11×add-cbrt-cube add-exp-log
6×cbrt-div
4×pow1 cbrt-undiv div-exp insert-posit16 add-log-exp
3×flip3-+ div-sub flip-+ associate-/l/
2×clear-num frac-2neg pow1/3 sqrt-div associate-/r/
1×flip3-- flip--
Counts
4 → 344
Calls
4 calls:
36.0ms
(/ (/ (- 1 x) (fabs (cbrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))
3.0ms
(cbrt (+ 1 x))
3.0ms
(cbrt (+ 1 x))
16.0ms
(/ (- 1 x) (fabs (cbrt (+ 1 x))))

series258.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(/ (/ (- 1 x) (fabs (cbrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))
48.0ms
(cbrt (+ 1 x))
58.0ms
(cbrt (+ 1 x))
45.0ms
(/ (- 1 x) (fabs (cbrt (+ 1 x))))

simplify2.2s

Counts
356 → 356
Iterations
IterNodes
done5001
22435
11041
0468

prune1.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes126.0ms

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
done15
115
011

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s8000×body80valid
566.0ms7784×body80nan