bug329 (missed optimization)

Time bar (total: 2.1s)

analyze10.0ms (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)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
Operation ival-div, time spent: 1.0ms, 31.0% of total-time
Operation ival->=, time spent: 1.0ms, 31.0% of total-time
Operation ival-atan, time spent: 1.0ms, 31.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.2s (57.8%)

Results
903.0ms8256×256valid
Precisions
Click to see histograms. Total time spent on operations: 314.0ms
Operation ival-div, time spent: 165.0ms, 53.0% of total-time
Operation ival-atan, time spent: 82.0ms, 26.0% of total-time
Operation ival->=, time spent: 58.0ms, 18.0% of total-time
Operation const, time spent: 9.0ms, 3.0% of total-time
Bogosity

preprocess110.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
18×fma-define
15×sub-neg
10×+-commutative
7×div-sub
5×*-commutative
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(atan.f64 (/.f64 y x))
00-0-y
00-0-(/.f64 y x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020143
131143
243143
353143
468143
586143
6106143
7128143
8130143
Stop Event
1×saturated
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y (neg.f64 x)))
(atan.f64 (/.f64 (neg.f64 y) x))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(atan.f64 (/.f64 x y))
Outputs
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y (neg.f64 x)))
(atan.f64 (/.f64 (neg.f64 y) x))
(atan.f64 (/.f64 (neg.f64 y) x))
(atan.f64 (/.f64 y (neg.f64 x)))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(atan.f64 (/.f64 x y))
Results
41.0ms512×256valid
Compiler

Compiled 30 to 14 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
Operation ival-div, time spent: 5.0ms, 50.0% of total-time
Operation ival-atan, time spent: 4.0ms, 40.0% of total-time
Operation const, time spent: 1.0ms, 10.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize27.0ms (1.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(atan.f64 (/.f64 y x))
Results
20.0ms256×256valid
Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-atan, time spent: 3.0ms, 50.0% of total-time
Operation ival-div, time spent: 2.0ms, 34.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series1.0ms (0.1%)

Counts
1 → 0
Calls
Call 1
Inputs
#<alt (atan.f64 (/.f64 y x))>
Outputs
Calls

6 calls:

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

rewrite184.0ms (8.8%)

Algorithm
1×batch-egg-rewrite
Rules
419×log1p-expm1-u
419×expm1-log1p-u
403×add-exp-log
391×add-log-exp
378×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
19017
2112717
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
Outputs
(+.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (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 (+.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))

simplify58.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
719×distribute-lft-in
678×prod-exp
626×distribute-rgt-in
597×fma-define
232×distribute-lft-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01041017
1167985
2389973
31377973
45395973
Stop Event
1×node limit
Counts
37 → 42
Calls
Call 1
Inputs
(+.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (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 (+.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y x)))
(atan.f64 (/.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(atan.f64 (/.f64 y x))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(atan.f64 (/.f64 y x))
(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (E.f64)))
(atan.f64 (/.f64 y x))
(*.f64 #s(literal 1 binary64) (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))) #s(literal 2 binary64)))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) (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))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (atan.f64 (/.f64 y x)))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))))
(atan.f64 (/.f64 y x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64))))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(atan.f64 (/.f64 y x))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
(atan.f64 (/.f64 y x))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(atan.f64 (/.f64 y x))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(atan.f64 (/.f64 y x))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))
(atan.f64 (/.f64 y x))
(pow.f64 (E.f64) (log.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x))))) (sqrt.f64 (log.f64 (atan.f64 (/.f64 y x)))))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))
(atan.f64 (/.f64 y x))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.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))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64)))
(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)))
(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(atan.f64 (/.f64 y x))

eval7.0ms (0.3%)

Compiler

Compiled 445 to 160 computations (64% saved)

prune20.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh000
Picked011
Done000
Total41243
Accuracy
100.0%
Counts
43 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.7%
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
✓100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize107.0ms (5.1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(atan.f64 (/.f64 y x))
✓98.9%
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
✓85.4%
(cbrt.f64 (atan.f64 (/.f64 y x)))
Results
96.0ms256×256valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
Operation ival-pow, time spent: 7.0ms, 45.0% of total-time
Operation ival-div, time spent: 3.0ms, 19.0% of total-time
Operation ival-atan, time spent: 3.0ms, 19.0% of total-time
Operation ival-cbrt, time spent: 2.0ms, 13.0% of total-time
Operation const, time spent: 1.0ms, 6.0% of total-time

series80.0ms (3.8%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (cbrt.f64 (atan.f64 (/.f64 y x)))>
#<alt (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))>
Outputs
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
#<alt (atan.f64 (/.f64 y x))>
Calls

12 calls:

TimeVariablePointExpression
68.0ms
x
@-inf
(pow (cbrt (atan (/ y x))) 3)
2.0ms
x
@-inf
(cbrt (atan (/ y x)))
2.0ms
y
@0
(cbrt (atan (/ y x)))
2.0ms
y
@inf
(cbrt (atan (/ y x)))
2.0ms
y
@-inf
(cbrt (atan (/ y x)))

rewrite78.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
504×unpow-prod-down
491×log1p-expm1-u
491×expm1-log1p-u
469×add-exp-log
428×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
113038
2140038
Stop Event
1×node limit
Counts
2 → 74
Calls
Call 1
Inputs
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (cbrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64))) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2/3 binary64))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) (sqrt.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) #s(literal 3/2 binary64)))
(+.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (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 (+.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3/2 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 5 binary64)) #s(literal 3/2 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 7 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 8 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))

simplify76.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
929×prod-exp
581×unswap-sqr
291×associate-+l+
288×exp-prod
287×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01898589937408
13108589937388
26648589937356
325368589937350
Stop Event
1×node limit
Counts
98 → 91
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 #s(literal 0 binary64) (cbrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64))) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2/3 binary64))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) (sqrt.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) #s(literal 3/2 binary64)))
(+.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (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 (+.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3/2 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 5 binary64)) #s(literal 3/2 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 7 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 8 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
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 #s(literal 0 binary64) (cbrt.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (log.f64 (E.f64)))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 7 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 7 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64))) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64)))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/3 binary64))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2/3 binary64))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) (sqrt.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(log.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(exp.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64)))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) #s(literal 3/2 binary64)))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(+.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y x)))
(atan.f64 (/.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(atan.f64 (/.f64 y x))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(atan.f64 (/.f64 y x))
(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (E.f64)))
(atan.f64 (/.f64 y x))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))
(atan.f64 (/.f64 y x))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x)))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3/2 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 5 binary64)) #s(literal 3/2 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 5 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 7 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 7 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 8 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64))))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))
(atan.f64 (/.f64 y x))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.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))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64)))
(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)))
(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(atan.f64 (/.f64 y x))

eval40.0ms (1.9%)

Compiler

Compiled 1823 to 754 computations (58.6% saved)

prune46.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1330133
Fresh000
Picked011
Done011
Total1332135
Accuracy
100.0%
Counts
135 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.7%
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
✓100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes5.0ms (0.2%)

Accuracy

Total -1.4b remaining (-18396.4%)

Threshold costs -1.4b (-18396.4%)

Counts
2 → 1
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
Outputs
(atan.f64 (/.f64 y x))
Calls

4 calls:

1.0ms
x
1.0ms
y
1.0ms
(/.f64 y x)
1.0ms
(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 17 to 11 computations (35.3% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
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%)

preprocess35.0ms (1.7%)

Compiler

Compiled 34 to 22 computations (35.3% saved)

Profiling

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