Details

Time bar (total: 1.2s)

analyze4.0ms (0.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%25%25%3
62.5%12.5%25%4
68.7%6.2%25%5
71.8%3.1%25%6
73.4%1.6%25%7
74.2%0.8%25%8
74.6%0.4%25%9
74.8%0.2%25%10
74.9%0.1%25%11
74.9%0%25%12
74.9%0%25%13
74.9%0%25%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample744.0ms (60%)

Results
712.0ms8254×body128valid
1.0ms2×body2048valid
Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify6.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×1-exp_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
11112
21012

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 27 to 21 computations (22.2% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
✓0.0b
(sqrt.f64 (+.f64 x 1))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

series54.0ms (4.4%)

Counts
3 → 12
Calls

3 calls:

40.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
8.0ms
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
6.0ms
(sqrt.f64 (+.f64 x 1))

rewrite16.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
44×*-un-lft-identity_binary64
30×add-sqr-sqrt_binary64
21×distribute-lft-out_binary64
18×times-frac_binary64
16×add-cube-cbrt_binary64
Counts
3 → 82
Calls

3 calls:

6.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
4.0ms
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
2.0ms
(sqrt.f64 (+.f64 x 1))

simplify92.0ms (7.4%)

Algorithm
1×egg-herbie
Rules
733×fma-neg_binary64
333×associate-/r*_binary64
321×associate-/l/_binary64
303×associate-*l/_binary64
284×cancel-sign-sub-inv_binary64
Counts
94 → 108
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01231335
12631239
26341227
318781212
443231211
549871211
648751211

prune63.0ms (5.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1071108
Fresh000
Picked011
Done000
Total1072109
Error
0b
Counts
109 → 2
Alt Table
StatusErrorProgram
▶39.9b
(*.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 1569 to 1206 computations (23.1% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
✓3.5b
(-.f64 1 (sqrt.f64 (+.f64 x 1)))

series8.0ms (0.7%)

Counts
1 → 4
Calls

1 calls:

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

rewrite9.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
32×*-un-lft-identity_binary64
25×add-sqr-sqrt_binary64
21×prod-diff_binary64
20×sqrt-prod_binary64
17×add-cube-cbrt_binary64
Counts
1 → 51
Calls

1 calls:

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

simplify93.0ms (7.5%)

Algorithm
1×egg-herbie
Rules
1016×fma-neg_binary64
557×unsub-neg_binary64
351×cancel-sign-sub-inv_binary64
329×unswap-sqr_binary64
299×distribute-rgt-in_binary64
Counts
55 → 52
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
088978
1173803
2467629
31485621
43213617
54137617
64903617

prune47.0ms (3.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New81081
Fresh000
Picked011
Done011
Total81283
Error
0b
Counts
83 → 2
Alt Table
StatusErrorProgram
✓39.9b
(*.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 1595 to 1377 computations (13.7% saved)

regimes49.0ms (4%)

Accuracy

Total 0.2b remaining (92.4%)

Threshold costs 0.2b (92.4%)

Counts
23 → 1
Compiler

Compiled 668 to 512 computations (23.4% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
11112
21012

end41.0ms (3.3%)

Compiler

Compiled 36 to 29 computations (19.4% saved)

Profiling

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