Details

Time bar (total: 10.2s)

sample97.0ms

Algorithm
intervals
Results
44.0ms736×body80nan
17.0ms256×body80valid

simplify46.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11512
21712
done1712

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (sqrt (- x 1.0)) 1.0)
0.1b
(+ (sqrt (- (sqrt (- x 1.0)) 1.0)) (sqrt (* x 4.0)))
0.1b
(sqrt (- (sqrt (- x 1.0)) 1.0))
0.2b
(sqrt (* x 4.0))

rewrite417.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
11×*-un-lft-identity
sqrt-prod
pow1 add-log-exp
add-cube-cbrt
add-cbrt-cube add-exp-log difference-of-squares
sqrt-pow1
flip3-- pow1/2 sqrt-div flip-- distribute-lft-out--
+-commutative rem-sqrt-square sum-log sub-neg flip3-+ diff-log pow-prod-down flip-+ distribute-lft-out
Counts
4 → 56
Calls
4 calls:
79.0ms
(- (sqrt (- x 1.0)) 1.0)
260.0ms
(+ (sqrt (- (sqrt (- x 1.0)) 1.0)) (sqrt (* x 4.0)))
67.0ms
(sqrt (- (sqrt (- x 1.0)) 1.0))
8.0ms
(sqrt (* x 4.0))

series1.1s

Counts
4 → 12
Calls
4 calls:
103.0ms
(- (sqrt (- x 1.0)) 1.0)
550.0ms
(+ (sqrt (- (sqrt (- x 1.0)) 1.0)) (sqrt (* x 4.0)))
302.0ms
(sqrt (- (sqrt (- x 1.0)) 1.0))
105.0ms
(sqrt (* x 4.0))

simplify1.3s

Counts
68 → 68
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01881177
14681054
21751960
done5000934

prune416.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (sqrt (- x 1.0)) 1.0)
0.1b
(+ (sqrt (- (sqrt (- x 1.0)) 1.0)) (* (sqrt x) (sqrt 4.0)))
0.1b
(sqrt (- (sqrt (- x 1.0)) 1.0))

rewrite396.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
*-un-lft-identity sqrt-prod
add-log-exp
pow1 add-cube-cbrt difference-of-squares
add-cbrt-cube add-exp-log
flip3-- sqrt-div flip-- distribute-lft-out--
+-commutative rem-sqrt-square sum-log sub-neg sqrt-pow1 flip3-+ pow1/2 diff-log flip-+
Counts
3 → 44
Calls
3 calls:
73.0ms
(- (sqrt (- x 1.0)) 1.0)
247.0ms
(+ (sqrt (- (sqrt (- x 1.0)) 1.0)) (* (sqrt x) (sqrt 4.0)))
74.0ms
(sqrt (- (sqrt (- x 1.0)) 1.0))

series996.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(- (sqrt (- x 1.0)) 1.0)
587.0ms
(+ (sqrt (- (sqrt (- x 1.0)) 1.0)) (* (sqrt x) (sqrt 4.0)))
302.0ms
(sqrt (- (sqrt (- x 1.0)) 1.0))

simplify1.1s

Counts
53 → 53
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01571060
1400961
21497873
done5001846

prune332.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11313
done1313

end0.0ms

sample3.9s

Algorithm
intervals
Results
2.1s23746×body80nan
823.0ms8000×body80valid