Details

Time bar (total: 6.8s)

sample136.0ms

Algorithm
intervals
Results
33.0ms256×body80valid
21.0ms216×body80nan

simplify434.0ms

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

localize35.0ms

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))))

rewrite60.0ms

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:
20.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
32.0ms
(/ (- 1 x) (+ 1 x))
3.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series127.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
35.0ms
(/ (- 1 x) (+ 1 x))
18.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify1.1s

Counts
112 → 112
Iterations
IterNodes
done2001
32001
2798
1341
0168

prune444.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
116×*-un-lft-identity
97×add-sqr-sqrt
77×times-frac
39×add-cube-cbrt
34×sqrt-prod
33×associate-*l*
30×associate-*r*
26×difference-of-squares
19×distribute-lft-out
13×distribute-lft-out--
11×add-cbrt-cube add-exp-log
10×pow1
6×associate-/r/ associate-/l* unswap-sqr
4×associate-/r* sqrt-div insert-posit16 add-log-exp
3×cbrt-div flip3-+ flip-+ div-inv
2×frac-times cbrt-undiv sqrt-pow1 pow-plus pow1/2 cube-unmult div-exp associate-*l/ prod-exp associate-*r/ pow-prod-up cbrt-unprod associate-/l/
1×cbrt-prod clear-num frac-2neg flip3-- pow1/3 div-sub pow-prod-down *-commutative rem-cbrt-cube flip--
Counts
4 → 165
Calls
4 calls:
15.0ms
(/ (- 1 x) (+ 1 x))
1.0ms
(atan (cbrt (* (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)))))
48.0ms
(* (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)))
14.0ms
(cbrt (* (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))))

series177.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ (- 1 x) (+ 1 x))
3.0ms
(atan (cbrt (* (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)))))
86.0ms
(* (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)))
60.0ms
(cbrt (* (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))))

simplify1.3s

Counts
177 → 177
Iterations
IterNodes
done2015
32015
21513
1587
0230

prune837.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes124.0ms

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

sample1.9s

Algorithm
intervals
Results
912.0ms8000×body80valid
765.0ms7803×body80nan