Details

Time bar (total: 6.4s)

sample133.0ms

Algorithm
intervals
Results
49.0ms274×body160nan
28.0ms513×body80nan
17.0ms256×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2119
done119

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (sqrt (- (* x x) 1.0)))
32.5b
(sqrt (- (* x x) 1.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×sqrt-prod add-log-exp
3×pow1 add-cube-cbrt
2×add-exp-log sqrt-div add-cbrt-cube
1×+-commutative rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 sum-log flip-- flip-+ distribute-lft-out difference-of-squares
Counts
2 → 28
Calls
2 calls:
19.0ms
(+ x (sqrt (- (* x x) 1.0)))
11.0ms
(sqrt (- (* x x) 1.0))

series195.0ms

Counts
2 → 6
Calls
2 calls:
115.0ms
(+ x (sqrt (- (* x x) 1.0)))
80.0ms
(sqrt (- (* x x) 1.0))

simplify526.0ms

Counts
34 → 34
Iterations

Useful iterations: done (524.0ms)

IterNodesCost
091451
1225402
2885366
done5001358

prune122.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (- x (+ (/ 0.125 (pow x 3)) (/ 0.5 x))))
0.3b
(/ 0.125 (pow x 3))

rewrite600.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity times-frac
27×add-sqr-sqrt add-cube-cbrt
12×unpow-prod-down cube-prod associate-/r*
11×add-log-exp
7×add-exp-log
4×cube-mult unpow3 sum-log add-cbrt-cube distribute-lft-out sqr-pow
3×div-exp associate-/l*
2×pow1 associate-+r+ diff-log distribute-lft-out--
1×cbrt-undiv +-commutative pow-to-exp associate-+r- sub-neg frac-2neg flip3-+ pow-exp clear-num flip-+ div-inv
Counts
2 → 84
Calls
2 calls:
586.0ms
(+ x (- x (+ (/ 0.125 (pow x 3)) (/ 0.5 x))))
9.0ms
(/ 0.125 (pow x 3))

series153.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(+ x (- x (+ (/ 0.125 (pow x 3)) (/ 0.5 x))))
68.0ms
(/ 0.125 (pow x 3))

simplify723.0ms

Counts
90 → 90
Iterations

Useful iterations: done (719.0ms)

IterNodesCost
01321113
1298951
21357897
done5001889

prune167.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01114
11314
done1314

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.3s16588×body80nan
919.0ms7826×body160nan
571.0ms8000×body80valid