Details

Time bar (total: 11.2s)

sample264.0ms

Algorithm
intervals
Results
90.0ms256×body80valid
22.0ms281×body80nan

simplify62.0ms

Counts
1 → 1
Iterations
IterNodes
done21
321
219
116
09

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize618.0ms

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))

rewrite85.0ms

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-cbrt-cube add-exp-log 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 clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 sqrt-div div-sub div-exp flip--
Counts
3 → 91
Calls
3 calls:
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
30.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
43.0ms
(/ (- 1.0 x) (+ 1.0 x))

series177.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
95.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
76.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify2.1s

Counts
100 → 100
Iterations
IterNodes
done5002
33886
2928
1348
0162

prune452.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
85×sqrt-prod
78×*-un-lft-identity
60×add-sqr-sqrt
56×times-frac
40×add-cube-cbrt
10×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
8×sqrt-div associate-/l*
7×associate-/r*
6×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
2×rem-sqrt-square sqrt-pow1 flip3-+ flip3-- pow1/2 associate-/r/ flip-+ flip-- associate-/l/
1×cbrt-undiv sqrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 128
Calls
4 calls:
6.0ms
(sqrt (+ 1.0 x))
9.0ms
(sqrt (- 1.0 x))
7.0ms
(atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
19.0ms
(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))

series175.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(sqrt (+ 1.0 x))
42.0ms
(sqrt (- 1.0 x))
3.0ms
(atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
96.0ms
(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))

simplify1.7s

Counts
140 → 140
Iterations
IterNodes
done5009
32106
2792
1342
0182

prune688.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
40×times-frac
36×add-sqr-sqrt
24×add-cube-cbrt
12×distribute-lft-out
8×associate-/r* add-cbrt-cube add-exp-log associate-/r/
7×distribute-lft-out--
6×associate-/l* add-log-exp
4×pow1 flip3-+ flip-+ div-inv difference-of-squares
3×distribute-rgt-out--
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
4 → 101
Calls
4 calls:
1.0ms
(atan (sqrt (- (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)))))
17.0ms
(/ 1.0 (+ 1.0 x))
108.0ms
(- (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)))
9.0ms
(/ x (+ 1.0 x))

series193.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(atan (sqrt (- (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)))))
40.0ms
(/ 1.0 (+ 1.0 x))
82.0ms
(- (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)))
68.0ms
(/ x (+ 1.0 x))

simplify2.2s

Counts
113 → 113
Iterations
IterNodes
done5000
34237
21123
1392
0171

prune522.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes52.0ms

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
done12
112
010

end0.0ms

sample1.5s

Algorithm
intervals
Results
770.0ms8000×body80valid
444.0ms7989×body80nan