Details

Time bar (total: 1.7s)

analyze6.0ms (0.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 21 to 16 computations (23.8% saved)

sample110.0ms (6.4%)

Algorithm
1×intervals
Results
16.0ms256×body128valid
Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify76.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
750×div-sub_binary64
748×fma-neg_binary64
599×fma-def_binary64
502×associate-/l*_binary64
423×distribute-rgt-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01529
13729
28227
320127
452627
599125
6161425
7327325
8365325
9469425
10494225

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))
Compiler

Compiled 73 to 56 computations (23.3% saved)

localize11.0ms (0.7%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))
✓0.0b
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))

series26.0ms (1.5%)

Counts
2 → 24
Calls

2 calls:

15.0ms
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))
11.0ms
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))

rewrite16.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
16×distribute-lft-in_binary64
16×distribute-rgt-in_binary64
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
16×pow1_binary64
Counts
2 → 61
Calls

2 calls:

7.0ms
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))
5.0ms
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))

simplify137.0ms (8%)

Algorithm
1×egg-herbie
Rules
640×fma-def_binary64
599×fma-neg_binary64
524×cancel-sign-sub-inv_binary64
376×distribute-rgt-in_binary64
248×associate-*r*_binary64
Counts
85 → 105
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01972874
15382641
220412536
346572530
449972530
549992530
649822530

prune98.0ms (5.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1041105
Fresh000
Picked011
Done000
Total1042106
Error
0b
Counts
106 → 2
Alt Table
StatusErrorProgram
▶1.0b
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))))
✓0.0b
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))
Compiler

Compiled 3199 to 2640 computations (17.5% saved)

localize12.0ms (0.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))
0.0b
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))
✓1.0b
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))))

series34.0ms (2%)

Counts
2 → 24
Calls

2 calls:

20.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))
14.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))))

rewrite31.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
44×distribute-lft-in_binary64
44×distribute-rgt-in_binary64
25×add-cbrt-cube_binary64
25×add-exp-log_binary64
25×pow1_binary64
Counts
2 → 85
Calls

2 calls:

12.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))))
10.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))

simplify104.0ms (6.1%)

Algorithm
1×egg-herbie
Rules
875×times-frac_binary64
754×fma-def_binary64
406×associate-*r*_binary64
318×associate-*l*_binary64
297×fma-neg_binary64
Counts
109 → 139
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02494414
16414006
226363972
350053972

prune174.0ms (10.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1890189
Fresh000
Picked011
Done011
Total1892191
Error
0b
Counts
191 → 2
Alt Table
StatusErrorProgram
✓1.0b
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))))
✓0.0b
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))
Compiler

Compiled 6791 to 5789 computations (14.8% saved)

regimes93.0ms (5.4%)

Accuracy

Total 0.0b remaining (74.8%)

Threshold costs 0.0b (74.8%)

Counts
25 → 1
Compiler

Compiled 1632 to 1371 computations (16% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01525
12125
22025

end3.0ms (0.2%)

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample776.0ms (45.3%)

Algorithm
1×intervals
Results
523.0ms8000×body128valid
0.0ms2×body128nan
Compiler

Compiled 81 to 64 computations (21% saved)

Profiling

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