bug329 (missed optimization)

Time bar (total: 1.6s)

analyze8.0ms (0.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
75%37.5%12.5%50%0%0%0%5
87.5%43.7%6.2%50%0%0%0%6
87.5%43.7%6.2%50%0%0%0%7
93.8%46.8%3.1%50%0%0%0%8
93.8%46.8%3.1%50%0%0%0%9
96.9%48.4%1.6%50%0%0%0%10
96.9%48.4%1.6%50%0%0%0%11
98.4%49.2%0.8%50%0%0%0%12
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample944.0ms (59%)

Results
933.0ms8256×body256valid
Bogosity

preprocess17.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
32×fma-def
28×sub-neg
20×+-commutative
20×div-sub
8×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01552
12252
23352
34452
45552
57052
69152
711852
812252
Stop Event
1×saturated
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y (neg.f64 x)))
(atan.f64 (/.f64 (neg.f64 y) x))
(atan.f64 (/.f64 x y))
Outputs
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y (neg.f64 x)))
(atan.f64 (/.f64 (neg.f64 y) x))
(atan.f64 (/.f64 x y))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
Outputs
(atan.f64 (/.f64 y x))

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
100.0%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(atan.f64 (/.f64 y x))
▶100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize80.0ms (5%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 12 to 5 computations (58.3% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(atan.f64 (/.f64 y x))
0.0ms
y
@inf
(atan.f64 (/.f64 y x))
0.0ms
y
@-inf
(atan.f64 (/.f64 y x))
0.0ms
x
@-inf
(atan.f64 (/.f64 y x))
0.0ms
x
@inf
(atan.f64 (/.f64 y x))

rewrite109.0ms (6.8%)

Algorithm
1×batch-egg-rewrite
Rules
1442×pow1
1320×add-exp-log
1320×log1p-expm1-u
1320×expm1-log1p-u
1288×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114111
2177611
Stop Event
1×node limit
Counts
1 → 16
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
Outputs
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(*.f64 (atan.f64 (/.f64 y x)) 1)
(*.f64 1 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (atan.f64 (/.f64 y x)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))

simplify56.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
1082×log-prod
796×fma-neg
742×exp-prod
612×fma-def
524×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037368
169272
2274176
31673176
43893176
55750176
Stop Event
1×node limit
Counts
16 → 19
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(*.f64 (atan.f64 (/.f64 y x)) 1)
(*.f64 1 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (atan.f64 (/.f64 y x)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
Outputs
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(*.f64 (atan.f64 (/.f64 y x)) 1)
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(*.f64 1 (atan.f64 (/.f64 y x)))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(pow.f64 (atan.f64 (/.f64 y x)) 1)
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))

eval3.0ms (0.2%)

Compiler

Compiled 143 to 51 computations (64.3% saved)

prune4.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New18119
Fresh000
Picked011
Done000
Total18220
Accurracy
100.0%
Counts
20 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶62.7%
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
✓100.0%
(atan.f64 (/.f64 y x))
▶62.7%
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
✓100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 28 to 20 computations (28.6% saved)

localize129.0ms (8%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(atan.f64 (/.f64 y x))
✓99.6%
(exp.f64 (atan.f64 (/.f64 y x)))
✓62.7%
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
Compiler

Compiled 23 to 7 computations (69.6% saved)

series1.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
0.0ms
y
@0
(exp.f64 (atan.f64 (/.f64 y x)))
0.0ms
y
@-inf
(exp.f64 (atan.f64 (/.f64 y x)))
0.0ms
y
@inf
(exp.f64 (atan.f64 (/.f64 y x)))
0.0ms
x
@-inf
(exp.f64 (atan.f64 (/.f64 y x)))
0.0ms
x
@inf
(exp.f64 (atan.f64 (/.f64 y x)))

rewrite62.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
1580×pow1
1444×add-exp-log
1444×log1p-expm1-u
1444×expm1-log1p-u
1406×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
116526
2196326
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (atan.f64 (/.f64 y x)))
Outputs
(+.f64 0 (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(*.f64 (atan.f64 (/.f64 y x)) 1)
(*.f64 1 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (atan.f64 (/.f64 y x)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
(-.f64 (+.f64 1 (exp.f64 (atan.f64 (/.f64 y x)))) 1)
(*.f64 (exp.f64 (atan.f64 (/.f64 y x))) 1)
(*.f64 1 (exp.f64 (atan.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2) (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (exp.f64 (atan.f64 (/.f64 y x))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (atan.f64 (/.f64 y x))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2)
(pow.f64 (exp.f64 1) (atan.f64 (/.f64 y x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (/.f64 y x))) 2))
(log.f64 (exp.f64 (exp.f64 (atan.f64 (/.f64 y x)))))
(cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (/.f64 y x))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (atan.f64 (/.f64 y x)))))
(log1p.f64 (expm1.f64 (exp.f64 (atan.f64 (/.f64 y x)))))

simplify83.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
856×associate-*r*
758×associate-*l*
716×unswap-sqr
648×log-prod
588×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074872
1141872
2562758
33991758
Stop Event
1×node limit
Counts
62 → 39
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(+.f64 0 (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(*.f64 (atan.f64 (/.f64 y x)) 1)
(*.f64 1 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (atan.f64 (/.f64 y x)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
(-.f64 (+.f64 1 (exp.f64 (atan.f64 (/.f64 y x)))) 1)
(*.f64 (exp.f64 (atan.f64 (/.f64 y x))) 1)
(*.f64 1 (exp.f64 (atan.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2) (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (exp.f64 (atan.f64 (/.f64 y x))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (atan.f64 (/.f64 y x))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2)
(pow.f64 (exp.f64 1) (atan.f64 (/.f64 y x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (/.f64 y x))) 2))
(log.f64 (exp.f64 (exp.f64 (atan.f64 (/.f64 y x)))))
(cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (/.f64 y x))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (atan.f64 (/.f64 y x)))))
(log1p.f64 (expm1.f64 (exp.f64 (atan.f64 (/.f64 y x)))))
Outputs
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(+.f64 0 (atan.f64 (/.f64 y x)))
(atan.f64 (/.f64 y x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(atan.f64 (/.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(atan.f64 (/.f64 y x))
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(atan.f64 (/.f64 y x))
(*.f64 (atan.f64 (/.f64 y x)) 1)
(atan.f64 (/.f64 y x))
(*.f64 1 (atan.f64 (/.f64 y x)))
(atan.f64 (/.f64 y x))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(pow.f64 (atan.f64 (/.f64 y x)) 1)
(atan.f64 (/.f64 y x))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
(atan.f64 (/.f64 y x))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(atan.f64 (/.f64 y x))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
(atan.f64 (/.f64 y x))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))
(atan.f64 (/.f64 y x))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (atan.f64 (/.f64 y x)))
(-.f64 (+.f64 1 (exp.f64 (atan.f64 (/.f64 y x)))) 1)
(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (atan.f64 (/.f64 y x)))
(*.f64 (exp.f64 (atan.f64 (/.f64 y x))) 1)
(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (atan.f64 (/.f64 y x)))
(*.f64 1 (exp.f64 (atan.f64 (/.f64 y x))))
(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2))
(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2) (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))))
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(exp.f64 (atan.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))))
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(exp.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (exp.f64 (atan.f64 (/.f64 y x))) 1)
(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (atan.f64 (/.f64 y x)))
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(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
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(pow.f64 (pow.f64 (exp.f64 (atan.f64 (/.f64 y x))) 3) 1/3)
(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
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(pow.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2)
(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (exp.f64 1) (atan.f64 (/.f64 y x)))
(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (atan.f64 (/.f64 y x)))
(sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (/.f64 y x))) 2))
(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (atan.f64 (/.f64 y x)))
(log.f64 (exp.f64 (exp.f64 (atan.f64 (/.f64 y x)))))
(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (atan.f64 (/.f64 y x)))
(cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (/.f64 y x))) 3))
(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (atan.f64 (/.f64 y x)))
(expm1.f64 (log1p.f64 (exp.f64 (atan.f64 (/.f64 y x)))))
(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (atan.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (exp.f64 (atan.f64 (/.f64 y x)))))
(+.f64 1 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (atan.f64 (/.f64 y x)))

eval9.0ms (0.5%)

Compiler

Compiled 540 to 195 computations (63.9% saved)

prune9.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh000
Picked011
Done011
Total58260
Accurracy
100.0%
Counts
60 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓62.7%
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
✓100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes12.0ms (0.7%)

Accuracy

Total -23.9b remaining (-305568.2%)

Threshold costs -23.9b (-305568.2%)

Counts
2 → 1
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
Outputs
(atan.f64 (/.f64 y x))
Calls

4 calls:

3.0ms
y
3.0ms
x
3.0ms
(/.f64 y x)
2.0ms
(atan.f64 (/.f64 y x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(atan.f64 (/.f64 y x))
100.0%1(/.f64 y x)
Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
Outputs
(atan.f64 (/.f64 y x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess68.0ms (4.3%)

Compiler

Compiled 34 to 22 computations (35.3% saved)

Profiling

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