Details

Time bar (total: 7.7s)

sample263.0ms

Algorithm
intervals
Results
36.0ms256×body80valid
22.0ms216×body80nan

simplify32.0ms

Counts
1 → 1
Iterations
IterNodes
done23
323
221
118
09

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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))))

rewrite676.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 109
Calls
3 calls:
22.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
33.0ms
(/ (- 1 x) (+ 1 x))
3.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series98.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
27.0ms
(/ (- 1 x) (+ 1 x))
11.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify1.1s

Counts
118 → 118
Iterations
IterNodes
done2005
32005
2818
1360
0174

prune532.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
157×*-un-lft-identity
124×add-sqr-sqrt
101×times-frac
51×add-cube-cbrt
36×difference-of-squares
34×sqrt-prod
33×associate-*r*
30×associate-*l*
26×distribute-lft-out
18×distribute-lft-out--
13×add-cbrt-cube add-exp-log
12×associate-/l*
9×pow1
8×associate-/r* associate-/r/
6×unswap-sqr
4×expm1-log1p-u flip3-+ sqrt-div flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp associate-/l/
3×cbrt-undiv cbrt-div div-exp
2×frac-times clear-num frac-2neg flip3-- div-sub pow3 associate-*l/ prod-exp associate-*r/ pow-prod-up cbrt-unprod flip--
1×cbrt-prod sqrt-pow1 pow1/2 pow1/3 pow-prod-down *-commutative rem-cbrt-cube
Counts
4 → 215
Calls
4 calls:
28.0ms
(/ (- 1 x) (+ x 1))
22.0ms
(/ (- 1 x) (+ x 1))
17.0ms
(cbrt (* (/ (- 1 x) (+ x 1)) (sqrt (/ (- 1 x) (+ x 1)))))
63.0ms
(* (/ (- 1 x) (+ x 1)) (sqrt (/ (- 1 x) (+ x 1))))

series198.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (- 1 x) (+ x 1))
29.0ms
(/ (- 1 x) (+ x 1))
61.0ms
(cbrt (* (/ (- 1 x) (+ x 1)) (sqrt (/ (- 1 x) (+ x 1)))))
80.0ms
(* (/ (- 1 x) (+ x 1)) (sqrt (/ (- 1 x) (+ x 1))))

simplify1.4s

Counts
227 → 227
Iterations
IterNodes
done2001
32001
21614
1592
0231

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes145.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample2.0s

Algorithm
intervals
Results
967.0ms8000×body80valid
699.0ms7803×body80nan