bug329 (missed optimization)

Time bar (total: 3.0s)

analyze11.0ms (0.4%)

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: 5.0ms
Operation ival-atan, time spent: 3.0ms, 62.0% of total-time
Operation ival-div, time spent: 1.0ms, 21.0% of total-time
Operation ival->=, time spent: 1.0ms, 21.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample824.0ms (27.5%)

Results
779.0ms8255×256valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 210.0ms
Operation ival-div, time spent: 78.0ms, 37.0% of total-time
Operation ival-atan, time spent: 73.0ms, 35.0% of total-time
Operation ival->=, time spent: 50.0ms, 24.0% of total-time
Operation const, time spent: 9.0ms, 4.0% of total-time
Bogosity

preprocess89.0ms (3%)

Algorithm
1×egg-herbie
Rules
36×fma-define
30×sub-neg
20×+-commutative
14×div-sub
10×*-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))
Compiler

Compiled 30 to 14 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
Operation ival-div, time spent: 5.0ms, 54.0% of total-time
Operation ival-atan, time spent: 4.0ms, 43.0% of total-time
Operation const, time spent: 1.0ms, 11.0% 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)

localize26.0ms (0.9%)

Localize:

Found 1 expressions with local error:

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

Compiled 12 to 5 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-div, time spent: 2.0ms, 42.0% of total-time
Operation ival-atan, time spent: 2.0ms, 42.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series1.0ms (0%)

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

6 calls:

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

rewrite175.0ms (5.8%)

Algorithm
1×batch-egg-rewrite
Rules
756×unpow-prod-down
460×cbrt-prod
460×log-prod
419×log1p-expm1-u
419×expm1-log1p-u
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)))

simplify60.0ms (2%)

Algorithm
1×egg-herbie
Rules
1438×distribute-lft-in
1356×prod-exp
1252×distribute-rgt-in
1194×fma-define
464×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 (0.2%)

Compiler

Compiled 445 to 160 computations (64% saved)

prune10.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New40242
Fresh000
Picked011
Done000
Total40343
Accuracy
100.0%
Counts
43 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶80.4%
(*.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)))))
▶66.0%
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
✓100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 36 to 21 computations (41.7% saved)

localize166.0ms (5.5%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
✓99.5%
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
✓99.0%
(*.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)))))
✓89.4%
(cbrt.f64 (atan.f64 (/.f64 y x)))
✓77.7%
(cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
100.0%
(atan.f64 (/.f64 y x))
✓99.6%
(exp.f64 (atan.f64 (/.f64 y x)))
✓66.0%
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
Compiler

Compiled 99 to 20 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
Operation ival-log, time spent: 27.0ms, 35.0% of total-time
Operation ival-pow, time spent: 15.0ms, 19.0% of total-time
Operation ival-cbrt, time spent: 13.0ms, 17.0% of total-time
Operation ival-mult, time spent: 7.0ms, 9.0% of total-time
Operation ival-exp, time spent: 6.0ms, 8.0% of total-time
Operation ival-div, time spent: 4.0ms, 5.0% of total-time
Operation ival-atan, time spent: 4.0ms, 5.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

series358.0ms (11.9%)

Counts
6 → 96
Calls
Call 1
Inputs
#<alt (log.f64 (exp.f64 (atan.f64 (/.f64 y x))))>
#<alt (exp.f64 (atan.f64 (/.f64 y x)))>
#<alt (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (atan.f64 (/.f64 y x)))>
#<alt (*.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)))))>
#<alt (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))>
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))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
#<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))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
Calls

36 calls:

TimeVariablePointExpression
77.0ms
y
@inf
(cbrt (cbrt (atan (/ y x))))
41.0ms
x
@inf
(cbrt (pow (* (atan (/ y x)) (cbrt (atan (/ y x)))) 2))
35.0ms
y
@0
(cbrt (pow (* (atan (/ y x)) (cbrt (atan (/ y x)))) 2))
32.0ms
y
@0
(* (cbrt (pow (* (atan (/ y x)) (cbrt (atan (/ y x)))) 2)) (cbrt (cbrt (atan (/ y x)))))
27.0ms
y
@inf
(cbrt (pow (* (atan (/ y x)) (cbrt (atan (/ y x)))) 2))

rewrite142.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
978×log-prod
812×log1p-expm1-u
812×expm1-log1p-u
458×pow-unpow
390×pow-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019154
1228144
22704138
Stop Event
1×node limit
Counts
6 → 233
Calls
Call 1
Inputs
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (atan.f64 (/.f64 y x)))
(cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(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)))))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
Outputs
(+.f64 (atan.f64 (/.f64 y x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y x)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (atan.f64 (/.f64 y x)))) (*.f64 #s(literal 1/3 binary64) (atan.f64 (/.f64 y x))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (atan.f64 (/.f64 y x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (atan.f64 (/.f64 y x)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (atan.f64 (/.f64 y x))) (*.f64 #s(literal 1/2 binary64) (atan.f64 (/.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (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 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (atan.f64 (/.f64 y x))))
(*.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (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))))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (atan.f64 (/.f64 y x))))
(*.f64 #s(literal 1 binary64) (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 4 binary64))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (atan.f64 (/.f64 y x))))
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))))) (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))))) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64))) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64))) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(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 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 9 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 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) #s(literal 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)))
(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 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64)))
(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)))
(+.f64 #s(literal 0 binary64) (exp.f64 (atan.f64 (/.f64 y x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan.f64 (/.f64 y x))))) (cbrt.f64 (exp.f64 (exp.f64 (atan.f64 (/.f64 y x))))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan.f64 (/.f64 y x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan.f64 (/.f64 y x)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan.f64 (/.f64 y x)))))))
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(*.f64 (*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
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(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64)))
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simplify188.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
1966×prod-exp
1260×exp-prod
1028×cube-prod
630×*-commutative
628×fma-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0415124554061355
1638124554061163
21927124554061083
35061124554061071
Stop Event
1×node limit
Counts
329 → 295
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))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))
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(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))) (*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))) (*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
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(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) (sqrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64))) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (sqrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))) (sqrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (atan.f64 (/.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (atan.f64 (/.f64 y x)))))
(log1p.f64 (expm1.f64 (exp.f64 (atan.f64 (/.f64 y x)))))
(+.f64 #s(literal 0 binary64) (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))))))) (cbrt.f64 (exp.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))))))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))))))) #s(literal 1 binary64))
(*.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))))) #s(literal 1 binary64))
(*.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)) #s(literal 4 binary64))) (cbrt.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 8/9 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 4 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.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 4/3 binary64))
(pow.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 4 binary64)) #s(literal 6 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 4 binary64)) #s(literal 2/9 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 4 binary64)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))))))))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (cbrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) (cbrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))) (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 (exp.f64 (log1p.f64 (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 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) (cbrt.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 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 (*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64))) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 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 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 9 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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 (atan.f64 (/.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (log.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)))
(+.f64 (atan.f64 (/.f64 y x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y x)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (atan.f64 (/.f64 y x)))) (*.f64 #s(literal 1/3 binary64) (atan.f64 (/.f64 y x))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (atan.f64 (/.f64 y x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (atan.f64 (/.f64 y x)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (atan.f64 (/.f64 y x))) (*.f64 #s(literal 1/2 binary64) (atan.f64 (/.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))
(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 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 9 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 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) #s(literal 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))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64)))
(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)))
(+.f64 #s(literal 0 binary64) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/9 binary64))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2/9 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) #s(literal 2/3 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(exp.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64))) #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))
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eval261.0ms (8.7%)

Compiler

Compiled 11516 to 4105 computations (64.4% saved)

prune82.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New5041505
Fresh000
Picked112
Done011
Total5053508
Accuracy
100.0%
Counts
508 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶42.8%
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/9 binary64)))
✓66.0%
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
✓100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 36 to 22 computations (38.9% saved)

localize94.0ms (3.1%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓99.5%
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/9 binary64)))
95.7%
(cbrt.f64 (atan.f64 (/.f64 y x)))
✓95.4%
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/9 binary64))
89.5%
(cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
Compiler

Compiled 80 to 22 computations (72.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
Operation ival-pow, time spent: 19.0ms, 51.0% of total-time
Operation ival-mult, time spent: 7.0ms, 19.0% of total-time
Operation ival-cbrt, time spent: 5.0ms, 13.0% of total-time
Operation ival-div, time spent: 2.0ms, 5.0% of total-time
Operation ival-atan, time spent: 2.0ms, 5.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

series51.0ms (1.7%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/9 binary64))>
#<alt (*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/9 binary64)))>
Outputs
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))>
#<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
11.0ms
y
@-inf
(pow (atan (/ y x)) 1/9)
11.0ms
x
@inf
(pow (atan (/ y x)) 1/9)
7.0ms
y
@0
(pow (atan (/ y x)) 1/9)
7.0ms
x
@-inf
(pow (atan (/ y x)) 1/9)
7.0ms
x
@0
(pow (atan (/ y x)) 1/9)

rewrite100.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
1022×log-prod
850×log1p-expm1-u
850×expm1-log1p-u
390×pow-to-exp
374×pow-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018120
1215100
2257142
Stop Event
1×node limit
Counts
2 → 48
Calls
Call 1
Inputs
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/9 binary64))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/9 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/54 binary64)) (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64))) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/54 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 4 binary64))) #s(literal 1/18 binary64)) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/54 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(exp.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/18 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))))) (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 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 9 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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 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))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (/.f64 y x)))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 4 binary64))) #s(literal 2 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 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64)))
(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)))

simplify112.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
1434×distribute-lft-in
1268×distribute-rgt-in
958×exp-prod
824×exp-sum
798×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01323486
12202584
24232420
310152420
423462420
571182420
Stop Event
1×node limit
Counts
96 → 54
Calls
Call 1
Inputs
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(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 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/54 binary64)) (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64))) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/54 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 4 binary64))) #s(literal 1/18 binary64)) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/54 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(exp.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/18 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))))) (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 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 9 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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 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))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (/.f64 y x)))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 4 binary64))) #s(literal 2 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 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64)))
(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
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 y x))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (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))
(atan.f64 (/.f64 y x))
(+.f64 #s(literal 0 binary64) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/54 binary64)) (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64))) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/54 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64))) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/54 binary64)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/54 binary64)) (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 4 binary64))) #s(literal 1/18 binary64)) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/54 binary64)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/54 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 4 binary64))) #s(literal 1/18 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (log.f64 (atan.f64 (/.f64 y x))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/18 binary64)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(cbrt.f64 (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 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))))) (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 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))
(atan.f64 (/.f64 y x))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(atan.f64 (/.f64 y x))
(pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 9 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 3 binary64)) #s(literal 1/3 binary64))
(atan.f64 (/.f64 y x))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64))
(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 (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))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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))
(cbrt.f64 (*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 4 binary64))) #s(literal 2 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 (atan.f64 (/.f64 y x))) #s(literal 1 binary64)))
(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))

eval178.0ms (5.9%)

Compiler

Compiled 3076 to 1291 computations (58% saved)

prune23.0ms (0.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1410141
Fresh000
Picked011
Done022
Total1413144
Accuracy
100.0%
Counts
144 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓42.8%
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64))) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/9 binary64)))
✓66.0%
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
✓100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 88 to 41 computations (53.4% saved)

regimes6.0ms (0.2%)

Accuracy

Total -39.9b remaining (-510892.2%)

Threshold costs -39.9b (-510892.2%)

Counts
4 → 1
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(log.f64 (exp.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))) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/9 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)))))
Outputs
(atan.f64 (/.f64 y x))
Calls

4 calls:

2.0ms
x
2.0ms
y
2.0ms
(/.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%)

preprocess28.0ms (0.9%)

Compiler

Compiled 34 to 22 computations (35.3% saved)

Profiling

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