Details

Time bar (total: 1.7s)

analyze3.0ms (0.2%)

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)

sample905.0ms (54.1%)

Results
876.0ms8254×body128valid
1.0ms2×body2048valid
Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify6.0ms (0.4%)

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

prune2.0ms (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)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

series154.0ms (9.2%)

Counts
3 → 12
Calls

3 calls:

136.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
10.0ms
(sqrt.f64 (+.f64 x 1))
8.0ms
(+.f64 1 (sqrt.f64 (+.f64 x 1)))

rewrite18.0ms (1.1%)

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))))
5.0ms
(sqrt.f64 (+.f64 x 1))
4.0ms
(+.f64 1 (sqrt.f64 (+.f64 x 1)))

simplify98.0ms (5.8%)

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

prune75.0ms (4.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1062108
Fresh000
Picked011
Done000
Total1063109
Error
0b
Counts
109 → 3
Alt Table
StatusErrorProgram
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
39.8b
(*.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
▶20.3b
(*.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))
Compiler

Compiled 1591 to 1222 computations (23.2% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (fma.f64 x 1/16 -1/8))
✓0.0b
(*.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))

series6.0ms (0.4%)

Counts
2 → 24
Calls

2 calls:

3.0ms
(*.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))
3.0ms
(*.f64 x (fma.f64 x 1/16 -1/8))

rewrite11.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64
6×associate-*r*_binary64
6×associate-*l*_binary64
6×*-un-lft-identity_binary64
6×add-cube-cbrt_binary64
Counts
2 → 46
Calls

2 calls:

5.0ms
(*.f64 x (fma.f64 x 1/16 -1/8))
4.0ms
(*.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))

simplify49.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
575×associate-+r+_binary64
574×associate-+l+_binary64
435×distribute-rgt-in_binary64
434×distribute-lft-in_binary64
226×fma-def_binary64
Counts
70 → 82
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0931055
1219818
2718817
32363817
45294817

prune53.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh011
Picked011
Done011
Total82385
Error
0b
Counts
85 → 3
Alt Table
StatusErrorProgram
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶39.8b
(*.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
✓20.3b
(*.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))
Compiler

Compiled 1347 to 961 computations (28.7% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
✓4.7b
(-.f64 1 (sqrt.f64 (+.f64 x 1)))

series8.0ms (0.5%)

Counts
1 → 4
Calls

1 calls:

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

rewrite10.0ms (0.6%)

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:

7.0ms
(-.f64 1 (sqrt.f64 (+.f64 x 1)))

simplify84.0ms (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

prune48.0ms (2.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh000
Picked011
Done022
Total81384
Error
0b
Counts
84 → 3
Alt Table
StatusErrorProgram
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓39.8b
(*.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
✓20.3b
(*.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))
Compiler

Compiled 1606 to 1385 computations (13.8% saved)

regimes68.0ms (4.1%)

Accuracy

Total 0.2b remaining (95.9%)

Threshold costs 0.2b (95.9%)

Counts
29 → 1
Compiler

Compiled 981 to 753 computations (23.2% saved)

simplify3.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
11315
21215

end54.0ms (3.2%)

Compiler

Compiled 51 to 41 computations (19.6% saved)

Profiling

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