Details

Time bar (total: 11.4s)

sample128.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
18.0ms262×body80nan

simplify77.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0911
11611
21911
32111
done2111

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 97
Calls
3 calls:
37.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
44.0ms
(/ (- 1.0 x) (+ 1.0 x))
2.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

series187.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
56.0ms
(/ (- 1.0 x) (+ 1.0 x))
17.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

simplify2.4s

Counts
106 → 106
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01731505
13721422
29201333
323331320
done50001300

prune365.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (- 1.0 x))
0.0b
(cbrt (- 1.0 x))
0.0b
(cbrt (- 1.0 x))
0.0b
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
8.0ms
(cbrt (- 1.0 x))
8.0ms
(cbrt (- 1.0 x))
8.0ms
(cbrt (- 1.0 x))
56.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

series544.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(cbrt (- 1.0 x))
156.0ms
(cbrt (- 1.0 x))
111.0ms
(cbrt (- 1.0 x))
150.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

simplify2.0s

Counts
121 → 121
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01521619
13321459
28441391
320951271
done50011242

prune575.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (- 1.0 x))
0.0b
(cbrt (- 1.0 x))
0.0b
(cbrt (- 1.0 x))
0.0b
(pow (cbrt (cbrt (- 1.0 x))) 4)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
19×add-sqr-sqrt *-un-lft-identity
11×add-cube-cbrt unpow-prod-down
6×cbrt-div
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
3×pow-unpow flip3-- flip--
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 79
Calls
4 calls:
8.0ms
(cbrt (- 1.0 x))
8.0ms
(cbrt (- 1.0 x))
8.0ms
(cbrt (- 1.0 x))
22.0ms
(pow (cbrt (cbrt (- 1.0 x))) 4)

series630.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(cbrt (- 1.0 x))
111.0ms
(cbrt (- 1.0 x))
135.0ms
(cbrt (- 1.0 x))
227.0ms
(pow (cbrt (cbrt (- 1.0 x))) 4)

simplify1.9s

Counts
91 → 91
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01701182
13941074
29211021
32399947
done5000916

prune617.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes117.0ms

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
0911
11111
done1111

end0.0ms

sample1.6s

Algorithm
intervals
Results
686.0ms8000×body80valid
565.0ms7984×body80nan