Details

Time bar (total: 2.3s)

analyze175.0ms (7.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%68.7%6.3%6
25%56.2%18.8%7
25%48.4%26.6%8
25%35.1%39.9%9
28.1%18.3%53.6%10
31.6%12.3%56.1%11
33.4%5.9%60.8%12
35.2%3.8%61%13
36.1%2.9%61%14
Compiler

Compiled 34 to 22 computations (35.3% saved)

sample78.0ms (3.4%)

Algorithm
intervals
Results
20.0ms256×body128valid
Compiler

Compiled 69 to 45 computations (34.8% saved)

simplify64.0ms (2.7%)

Algorithm
egg-herbie
Rules
725×fma-def_binary64
669×unsub-neg_binary64
596×cancel-sign-sub-inv_binary64
340×+-commutative_binary64
277×fma-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02042
16340
217036
354236
4186732
5328132
6488132
7495832

prune5.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.2b
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)
0.0b
(+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) -1)
Compiler

Compiled 172 to 108 computations (37.2% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 a -3 1)
0.0b
(fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4))
0.1b
(fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1)))
0.7b
(*.f64 (*.f64 b b) (fma.f64 a -3 1))

series58.0ms (2.5%)

Counts
4 → 84
Calls

4 calls:

34.0ms
(fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4))
12.0ms
(fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1)))
9.0ms
(*.f64 (*.f64 b b) (fma.f64 a -3 1))
2.0ms
(fma.f64 a -3 1)

rewrite7.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
pow1_binary64
add-sqr-sqrt_binary64
fma-udef_binary64
Counts
4 → 53
Calls

4 calls:

4.0ms
(*.f64 (*.f64 b b) (fma.f64 a -3 1))
0.0ms
(fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1)))
0.0ms
(fma.f64 a -3 1)
0.0ms
(fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4))

simplify107.0ms (4.6%)

Algorithm
egg-herbie
Rules
786×fma-def_binary64
528×fma-neg_binary64
415×associate-+l+_binary64
313×cancel-sign-sub-inv_binary64
229×associate-+r+_binary64
Counts
137 → 125
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01252754
13182352
29692192
331842169
448182143
549832143

prune130.0ms (5.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1241125
Fresh101
Picked011
Done000
Total1252127
Error
0.0b
Counts
127 → 2
Alt Table
StatusErrorProgram
10.4b
(+.f64 (*.f64 (*.f64 a a) (+.f64 (*.f64 a (+.f64 4 a)) (+.f64 4 (*.f64 2 (*.f64 b b))))) -1)
0.0b
(+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) -1)
Compiler

Compiled 3502 to 1951 computations (44.3% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 a (+.f64 4 a)) (+.f64 4 (*.f64 2 (*.f64 b b))))
0.0b
(*.f64 2 (*.f64 b b))
0.0b
(*.f64 a (+.f64 4 a))
0.8b
(*.f64 (*.f64 a a) (+.f64 (*.f64 a (+.f64 4 a)) (+.f64 4 (*.f64 2 (*.f64 b b)))))

series36.0ms (1.6%)

Counts
4 → 72
Calls

4 calls:

19.0ms
(*.f64 (*.f64 a a) (+.f64 (*.f64 a (+.f64 4 a)) (+.f64 4 (*.f64 2 (*.f64 b b)))))
9.0ms
(+.f64 (*.f64 a (+.f64 4 a)) (+.f64 4 (*.f64 2 (*.f64 b b))))
5.0ms
(*.f64 a (+.f64 4 a))
3.0ms
(*.f64 2 (*.f64 b b))

rewrite30.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
16×associate-*r/_binary64
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
16×pow1_binary64
12×add-sqr-sqrt_binary64
Counts
4 → 97
Calls

4 calls:

10.0ms
(*.f64 (*.f64 a a) (+.f64 (*.f64 a (+.f64 4 a)) (+.f64 4 (*.f64 2 (*.f64 b b)))))
6.0ms
(+.f64 (*.f64 a (+.f64 4 a)) (+.f64 4 (*.f64 2 (*.f64 b b))))
4.0ms
(*.f64 a (+.f64 4 a))
4.0ms
(*.f64 2 (*.f64 b b))

simplify110.0ms (4.7%)

Algorithm
egg-herbie
Rules
719×fma-neg_binary64
411×associate-+l+_binary64
399×associate-+r+_binary64
366×associate-*l*_binary64
296×associate-*r*_binary64
Counts
169 → 174
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01903345
16112707
224912683
348932677
454202677

prune164.0ms (7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1740174
Fresh000
Picked011
Done011
Total1742176
Error
0.0b
Counts
176 → 2
Alt Table
StatusErrorProgram
10.4b
(+.f64 (*.f64 (*.f64 a a) (+.f64 (*.f64 a (+.f64 4 a)) (+.f64 4 (*.f64 2 (*.f64 b b))))) -1)
0.0b
(+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) -1)
Compiler

Compiled 5119 to 3177 computations (37.9% saved)

regimes330.0ms (14.2%)

Accuracy

Total 0.1b remaining (72.2%)

Threshold costs 0.1b (72.2%)

Counts
58 → 1
Compiler

Compiled 6279 to 4511 computations (28.2% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
11325
21325

end1.0ms (0%)

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.0s (43.1%)

Algorithm
intervals
Results
687.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 102 to 67 computations (34.3% saved)

Profiling

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