Details

Time bar (total: 1.2s)

analyze11.0ms (0.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%50%50%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample225.0ms (18.3%)

Algorithm
intervals
Results
218.0ms256×body128valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify177.0ms (14.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01211
11211

prune4.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize7.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

rewrite24.0ms (2%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
14×sqrt-prod_binary64
10×associate-*l*_binary64
*-un-lft-identity_binary64
associate-*r*_binary64
pow1_binary64 add-cube-cbrt_binary64
unswap-sqr_binary64
pow-prod-down_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow1/2_binary64 sqrt-pow1_binary64 difference-of-squares_binary64 sqrt-div_binary64 associate-*l/_binary64
add-log-exp_binary64 flip3--_binary64 cbrt-unprod_binary64 difference-of-sqr-1_binary64 sqrt-unprod_binary64 prod-exp_binary64 distribute-lft-out--_binary64 flip--_binary64 *-commutative_binary64
Counts
1 → 36
Calls

1 calls:

20.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

series68.0ms (5.5%)

Counts
1 → 3
Calls

1 calls:

67.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

simplify54.0ms (4.4%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05047611

prune44.0ms (3.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New37239
Fresh000
Picked101
Done000
Total38240

Merged error: 0b

Counts
40 → 2
Compiler

Compiled 539 to 351 computations (34.9% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 x (+.f64 (/.f64 1/8 x) 1/2))

rewrite11.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-log-exp_binary64
add-sqr-sqrt_binary64
diff-log_binary64 distribute-lft-out--_binary64
sub-neg_binary64 pow1_binary64 associate--r+_binary64 flip3--_binary64 distribute-lft-out_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 difference-of-squares_binary64 flip--_binary64 sum-log_binary64
Counts
1 → 16
Calls

1 calls:

10.0ms
(-.f64 x (+.f64 (/.f64 1/8 x) 1/2))

series18.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

18.0ms
(-.f64 x (+.f64 (/.f64 1/8 x) 1/2))

simplify57.0ms (4.6%)

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05008288

prune14.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New19019
Fresh011
Picked011
Done000
Total19221

Merged error: 0b

Counts
21 → 2
Compiler

Compiled 237 to 180 computations (24.1% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

29.7b
(sqrt.f64 (*.f64 x (-.f64 x 1)))

rewrite9.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64
associate-*r/_binary64 sqrt-pow1_binary64 sqrt-div_binary64
pow-prod-down_binary64 *-un-lft-identity_binary64 add-log-exp_binary64 pow1/2_binary64 flip3--_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 flip--_binary64 sqrt-prod_binary64
Counts
1 → 13
Calls

1 calls:

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

series34.0ms (2.8%)

Counts
1 → 3
Calls

1 calls:

34.0ms
(sqrt.f64 (*.f64 x (-.f64 x 1)))

simplify39.0ms (3.1%)

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05014200

prune11.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New16016
Fresh000
Picked011
Done011
Total16218

Merged error: 0b

Counts
18 → 2
Compiler

Compiled 172 to 126 computations (26.7% saved)

regimes10.0ms (0.8%)

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04110
14110

end0.0ms (0%)

sample404.0ms (32.8%)

Algorithm
intervals
Results
240.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 28 to 25 computations (10.7% saved)

Profiling

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