Details

Time bar (total: 2.8s)

analyze280.0ms (10%)

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
Compiler

Compiled 10 to 8 computations (20% saved)

sample53.0ms (1.9%)

Algorithm
intervals
Results
17.0ms100×body2048nan
12.0ms256×body128valid
10.0ms48×body1024nan
3.0ms26×body512nan
1.0ms13×body256nan
1.0ms14×body128nan
Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify136.0ms (4.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (129.0ms)

IterNodesCost
0515014

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 33.9b

Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
31.6b
(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite15.0ms (0.5%)

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 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 → 30
Calls

2 calls:

8.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
5.0ms
(sqrt.f64 (-.f64 (*.f64 x x) 1))

series100.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

59.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
41.0ms
(sqrt.f64 (-.f64 (*.f64 x x) 1))

simplify60.0ms (2.2%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05348536

prune31.0ms (1.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New35136
Fresh000
Picked101
Done000
Total36137

Merged error: 0b

Counts
37 → 1
Compiler

Compiled 529 to 350 computations (33.8% saved)

localize9.0ms (0.3%)

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)))

rewrite24.0ms (0.9%)

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 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 → 54
Calls

2 calls:

14.0ms
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))
3.0ms
(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))))

series123.0ms (4.4%)

Counts
2 → 6
Calls

2 calls:

66.0ms
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))
57.0ms
(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))))

simplify57.0ms (2%)

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049251195
149251195

prune64.0ms (2.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New60060
Fresh000
Picked011
Done000
Total60161

Merged error: 0b

Counts
61 → 1
Compiler

Compiled 1161 to 875 computations (24.6% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02319
12319

end0.0ms (0%)

sample1.8s (65.5%)

Algorithm
intervals
Results
678.0ms3915×body2048nan
393.0ms8000×body128valid
271.0ms1934×body1024nan
110.0ms1014×body512nan
38.0ms541×body256nan
18.0ms483×body128nan
2.0ms12×body4096nan
Compiler

Compiled 34 to 29 computations (14.7% saved)

Profiling

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