Details

Time bar (total: 2.4s)

analyze268.0ms

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

sample57.0ms

Algorithm
intervals
Results
18.0ms101×body2560nan
12.0ms80×body1280nan
10.0ms256×body80valid
4.0ms36×body640nan
2.0ms22×body320nan
1.0ms15×body160nan
0.0ms10×body80nan

simplify158.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (156.0ms)

IterNodesCost
050309

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.4b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

29.3b
(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
sqrt-prod_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
pow1_binary64 add-cube-cbrt_binary64 difference-of-squares_binary64 sqrt-div_binary64
add-log-exp_binary64 pow1/2_binary64 flip3--_binary64 difference-of-sqr-1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 flip--_binary64
Counts
1 → 18
Calls
1 calls:
5.0ms
(sqrt.f64 (-.f64 (*.f64 x x) 1))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(sqrt.f64 (-.f64 (*.f64 x x) 1))

simplify51.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05387185

prune23.0ms

Filtered
16 candidates to 21 candidates (-31.3%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New20121
Fresh000
Picked101
Done000
Total21122

Merged error: 0b

Counts
22 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
15×sqrt-prod_binary64
12×sqrt-div_binary64
10×*-un-lft-identity_binary64 associate-*r*_binary64
associate-*l*_binary64
pow1_binary64 add-cube-cbrt_binary64
unswap-sqr_binary64 frac-times_binary64
pow-prod-down_binary64 flip3-+_binary64 flip3--_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip--_binary64 flip-+_binary64
pow1/2_binary64 associate-*r/_binary64 sqrt-pow1_binary64 difference-of-squares_binary64 associate-*l/_binary64
add-log-exp_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
Counts
1 → 43
Calls
1 calls:
12.0ms
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))

simplify62.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04930565
14930565

prune43.0ms

Filtered
32 candidates to 46 candidates (-43.8%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New46046
Fresh000
Picked011
Done000
Total46147

Merged error: 0b

Counts
47 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02212
12212

end0.0ms

sample1.7s

Algorithm
intervals
Results
559.0ms2929×body2560nan
404.0ms2531×body1280nan
314.0ms8000×body80valid
148.0ms1158×body640nan
62.0ms630×body320nan
19.0ms297×body160nan
9.0ms279×body80nan

Profiling

Loading profile data...