Details

Time bar (total: 7.3s)

sample69.0ms

Algorithm
intervals
Results
21.0ms249×body160nan
15.0ms519×body80nan
10.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2119
done119

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) 1.0)
0.0b
(+ x (sqrt (- (* x x) 1.0)))
28.7b
(sqrt (- (* x x) 1.0))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-log-exp
*-un-lft-identity
pow1 add-cube-cbrt sqrt-prod
add-exp-log add-cbrt-cube
flip3-- sqrt-div flip-- difference-of-squares
+-commutative sub-neg rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 diff-log sum-log flip-+ distribute-lft-out
Counts
3 → 41
Calls
3 calls:
10.0ms
(- (* x x) 1.0)
33.0ms
(+ x (sqrt (- (* x x) 1.0)))
12.0ms
(sqrt (- (* x x) 1.0))

series206.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(- (* x x) 1.0)
77.0ms
(+ x (sqrt (- (* x x) 1.0)))
77.0ms
(sqrt (- (* x x) 1.0))

simplify1.5s

Counts
50 → 50
Iterations

Useful iterations: done (1.5s)

IterNodesCost
099587
1226527
2579479
31691471
done5001464

prune213.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (- x (+ (/ 0.125 (pow x 3)) (/ 0.5 x))))
0.0b
(+ (/ 0.125 (pow x 3)) (/ 0.5 x))
0.6b
(/ 0.125 (pow x 3))

rewrite726.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
38×times-frac
28×add-sqr-sqrt add-cube-cbrt
14×add-log-exp
12×unpow-prod-down cube-prod associate-/r*
add-exp-log
distribute-lft-out
sum-log add-cbrt-cube
cube-mult unpow3 sqr-pow
pow1 div-exp associate-/l*
+-commutative associate-+r+ flip3-+ diff-log flip-+ distribute-lft-out--
cbrt-undiv pow-to-exp associate-+r- sub-neg frac-2neg frac-add pow-exp clear-num div-inv
Counts
3 → 98
Calls
3 calls:
592.0ms
(+ x (- x (+ (/ 0.125 (pow x 3)) (/ 0.5 x))))
120.0ms
(+ (/ 0.125 (pow x 3)) (/ 0.5 x))
9.0ms
(/ 0.125 (pow x 3))

series263.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(+ x (- x (+ (/ 0.125 (pow x 3)) (/ 0.5 x))))
129.0ms
(+ (/ 0.125 (pow x 3)) (/ 0.5 x))
63.0ms
(/ 0.125 (pow x 3))

simplify917.0ms

Counts
107 → 107
Iterations

Useful iterations: done (911.0ms)

IterNodesCost
01521365
13321186
29741100
done50011095

prune286.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
11314
done1314

end0.0ms

sample3.0s

Algorithm
intervals
Results
885.0ms16410×body80nan
772.0ms8000×body80valid
659.0ms7643×body160nan