Details

Time bar (total: 6.4s)

sample319.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
5.0ms228×body80nan

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
11611
21911
32111
done2111

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b
(/ (- 1.0 x) (+ 1.0 x))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
45×add-sqr-sqrt
41×times-frac
26×sqrt-prod
24×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
5×add-exp-log add-cbrt-cube associate-/l*
4×pow1 associate-/r* associate-/r/
3×add-log-exp
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp clear-num flip--
Counts
3 → 91
Calls
3 calls:
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
16.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
24.0ms
(/ (- 1.0 x) (+ 1.0 x))

series142.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
89.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
48.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify1.2s

Counts
100 → 100
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01671451
13561376
28661284
321471268
done50011252

prune214.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (- 1.0 x) (+ x 1.0)))
0.0b
(cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3))
0.0b
(/ (- 1.0 x) (+ x 1.0))
0.0b
(pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
183×*-un-lft-identity
130×sqrt-prod
124×add-sqr-sqrt
121×times-frac
71×add-cube-cbrt
64×cbrt-prod
58×unpow-prod-down cube-prod
31×distribute-lft-out
25×distribute-lft-out-- difference-of-squares
12×associate-/r/
7×pow1 add-exp-log add-cbrt-cube
6×flip3-+ flip-+ div-inv
5×associate-/l*
4×associate-/r* add-log-exp
3×pow-unpow pow-pow sqrt-div
2×cube-div cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3 associate-/l/ sqr-pow
1×cbrt-undiv pow-to-exp cbrt-div flip3-- frac-2neg pow1/3 div-sub div-exp pow-exp clear-num sqrt-pow2 flip-- rem-cbrt-cube rem-cube-cbrt
Counts
4 → 237
Calls
4 calls:
19.0ms
(sqrt (/ (- 1.0 x) (+ x 1.0)))
22.0ms
(cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3))
21.0ms
(/ (- 1.0 x) (+ x 1.0))
23.0ms
(pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)

series388.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(sqrt (/ (- 1.0 x) (+ x 1.0)))
87.0ms
(cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3))
32.0ms
(/ (- 1.0 x) (+ x 1.0))
181.0ms
(pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)

simplify844.0ms

Counts
249 → 249
Iterations

Useful iterations: done (835.0ms)

IterNodesCost
02824796
16993956
216123780
done50013733

prune449.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 x) (+ x 1.0))
0.0b
(/ (- 1.0 x) (+ x 1.0))
0.0b
(pow (fabs (cbrt (/ (- 1.0 x) (+ x 1.0)))) 3)
0.0b
(pow (sqrt (cbrt (/ (- 1.0 x) (+ x 1.0)))) 3)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
134×*-un-lft-identity
90×add-sqr-sqrt
80×times-frac
58×sqrt-prod
54×add-cube-cbrt
52×cbrt-prod
35×unpow-prod-down cube-prod
22×distribute-lft-out
18×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube associate-/l*
8×associate-/r* associate-/r/
7×pow1
6×pow-unpow
5×pow-pow
4×flip3-+ flip-+ div-inv associate-/l/ add-log-exp
2×cbrt-undiv cube-mult pow-to-exp flip3-- frac-2neg sqrt-pow1 unpow3 div-sub div-exp pow-exp clear-num flip-- rem-cube-cbrt sqr-pow
1×cube-div cbrt-div pow1/2 pow1/3 sqrt-div sqrt-pow2
Counts
4 → 201
Calls
4 calls:
20.0ms
(/ (- 1.0 x) (+ x 1.0))
20.0ms
(/ (- 1.0 x) (+ x 1.0))
5.0ms
(pow (fabs (cbrt (/ (- 1.0 x) (+ x 1.0)))) 3)
23.0ms
(pow (sqrt (cbrt (/ (- 1.0 x) (+ x 1.0)))) 3)

series342.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (- 1.0 x) (+ x 1.0))
37.0ms
(/ (- 1.0 x) (+ x 1.0))
37.0ms
(pow (fabs (cbrt (/ (- 1.0 x) (+ x 1.0)))) 3)
235.0ms
(pow (sqrt (cbrt (/ (- 1.0 x) (+ x 1.0)))) 3)

simplify831.0ms

Counts
213 → 213
Iterations

Useful iterations: done (823.0ms)

IterNodesCost
02853642
17123314
216223149
done50003130

prune590.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11414
done1414

end0.0ms

sample735.0ms

Algorithm
intervals
Results
304.0ms8000×body80valid
191.0ms7863×body80nan