Details

Time bar (total: 4.1s)

analyze272.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%50%25%4
25%37.5%37.5%5
25%31.2%43.8%6
25%28.1%46.9%7
25%26.5%48.5%8
25%25.8%49.2%9
25%25.4%49.6%10
25%25.2%49.8%11
25%25.1%49.9%12
25%25%50%13
25%25%50%14

sample51.0ms

Algorithm
intervals
Results
16.0ms85×body2560nan
11.0ms74×body1280nan
10.0ms256×body80valid
4.0ms37×body640nan
1.0ms14×body320nan
0.0msbody80nan
0.0msbody160nan

simplify167.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (153.0ms)

IterNodesCost
0518614

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
26.4b
(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 sqrt-prod_binary64
add-sqr-sqrt_binary64
add-log-exp_binary64
pow1_binary64 add-cube-cbrt_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 difference-of-squares_binary64 insert-posit16 sqrt-div_binary64
flip3-+_binary64 pow1/2_binary64 flip3--_binary64 distribute-lft-out_binary64 difference-of-sqr-1_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64
Counts
2 → 32
Calls
2 calls:
11.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
6.0ms
(sqrt.f64 (-.f64 (*.f64 x x) 1))

series369.0ms

Counts
2 → 6
Calls
2 calls:
206.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
163.0ms
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
07969
17969
07969
17969
013
113
010849
110849
010849
110849
013
113

simplify126.0ms

Counts
38 → 38
Iterations

Useful iterations: 0 (107.0ms)

IterNodesCost
04895448
14895448

prune24.0ms

Filtered
27 candidates to 38 candidates (-40.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New37138
Fresh000
Picked011
Done000
Total37239

Merged error: 0b

Counts
39 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))))
0.5b
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64
15×sqrt-prod_binary64
12×sqrt-div_binary64
11×*-un-lft-identity_binary64
10×associate-*r*_binary64
associate-*l*_binary64
pow1_binary64 add-cube-cbrt_binary64
flip3-+_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 flip-+_binary64 frac-times_binary64
pow-prod-down_binary64 flip3--_binary64 flip--_binary64
pow1/2_binary64 associate-*r/_binary64 sqrt-pow1_binary64 difference-of-squares_binary64 insert-posit16 associate-*l/_binary64
cbrt-unprod_binary64 distribute-lft-out_binary64 difference-of-sqr-1_binary64 sqrt-unprod_binary64 prod-exp_binary64 distribute-lft-out--_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 56
Calls
2 calls:
4.0ms
(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))))
15.0ms
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))

series1.1s

Counts
2 → 6
Calls
2 calls:
664.0ms
(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))))
476.0ms
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
056499
156499
056499
156499
013
113
089179
189179
089179
189179
013
113

simplify116.0ms

Counts
62 → 62
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
052871086

prune45.0ms

Filtered
42 candidates to 62 candidates (-47.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh000
Picked011
Done011
Total62264

Merged error: 0b

Counts
64 → 2

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02419
12419

end0.0ms

sample1.7s

Algorithm
intervals
Results
543.0ms2885×body2560nan
379.0ms2438×body1280nan
306.0ms8000×body80valid
147.0ms1191×body640nan
61.0ms667×body320nan
22.0ms311×body160nan
9.0ms287×body80nan

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