Details

Time bar (total: 10.7s)

sample123.0ms

Algorithm
intervals
Results
29.0ms256×body80valid
26.0ms274×body80nan

simplify77.0ms

Counts
1 → 1
Iterations
IterNodes
421
321
219
116
09

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))))

rewrite51.0ms

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×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 → 100
Calls
3 calls:
14.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
24.0ms
(/ (- 1 x) (+ 1 x))
2.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series108.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
39.0ms
(/ (- 1 x) (+ 1 x))
10.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify1.5s

Counts
109 → 109
Iterations
IterNodes
32023
2707
1326
0165

prune970.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (log (sqrt (/ (- 1 x) (+ 1 x)))))
0.0b
(/ (- 1 x) (+ 1 x))
0.0b
(atan (exp (log (sqrt (/ (- 1 x) (+ 1 x))))))
5.3b
(log (sqrt (/ (- 1 x) (+ 1 x))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
118×*-un-lft-identity
80×add-sqr-sqrt
72×times-frac
66×log-prod
60×sqrt-prod
41×add-cube-cbrt
33×exp-sum
26×difference-of-squares
19×distribute-lft-out
13×distribute-lft-out--
8×pow1
7×add-exp-log
6×exp-prod add-cbrt-cube associate-/r/ log-pow associate-/l*
4×associate-/r* add-log-exp
3×flip3-+ flip-+ div-inv
2×log-div sqrt-pow1 pow1/2 sqrt-div associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- exp-diff div-sub div-exp rem-log-exp flip-- rem-exp-log
Counts
4 → 151
Calls
4 calls:
17.0ms
(exp (log (sqrt (/ (- 1 x) (+ 1 x)))))
26.0ms
(/ (- 1 x) (+ 1 x))
1.0ms
(atan (exp (log (sqrt (/ (- 1 x) (+ 1 x))))))
11.0ms
(log (sqrt (/ (- 1 x) (+ 1 x))))

series302.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(exp (log (sqrt (/ (- 1 x) (+ 1 x)))))
37.0ms
(/ (- 1 x) (+ 1 x))
4.0ms
(atan (exp (log (sqrt (/ (- 1 x) (+ 1 x))))))
187.0ms
(log (sqrt (/ (- 1 x) (+ 1 x))))

simplify1.6s

Counts
163 → 163
Iterations
IterNodes
32107
2892
1467
0277

prune1.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* x x) 1/2) (- 1 x))
0.0b
(* (* x x) 1/2)
0.0b
(atan (+ (* (* x x) 1/2) (- 1 x)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-cbrt-cube add-exp-log add-log-exp
5×add-sqr-sqrt
4×*-un-lft-identity add-cube-cbrt
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×associate-+r+ sum-log
1×+-commutative associate-+r- sub-neg flip3-+ diff-log associate-*l* *-commutative flip-+ unswap-sqr
Counts
3 → 41
Calls
3 calls:
26.0ms
(+ (* (* x x) 1/2) (- 1 x))
13.0ms
(* (* x x) 1/2)
1.0ms
(atan (+ (* (* x x) 1/2) (- 1 x)))

series90.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (* (* x x) 1/2) (- 1 x))
53.0ms
(* (* x x) 1/2)
5.0ms
(atan (+ (* (* x x) 1/2) (- 1 x)))

simplify712.0ms

Counts
50 → 50
Iterations
IterNodes
32085
2593
1192
074

prune420.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
213
113
011

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s8249×body80nan
1.1s8000×body80valid