bug329 (missed optimization)

Time bar (total: 2.2s)

analyze10.0ms (0.5%)

Algorithm
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, 30.0% of total-time
Operation ival->=, time spent: 1.0ms, 30.0% of total-time
Operation ival-atan, time spent: 1.0ms, 30.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample943.0ms (43.4%)

Results
898.0ms8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 239.0ms
Operation ival-div, time spent: 114.0ms, 48.0% of total-time
Operation ival-atan, time spent: 67.0ms, 28.0% of total-time
Operation ival->=, time spent: 49.0ms, 20.0% of total-time
Operation const, time spent: 10.0ms, 4.0% of total-time
Bogosity

preprocess110.0ms (5%)

Algorithm
egg-herbie
Rules
18×fma-define
15×sub-neg
10×+-commutative
div-sub
*-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
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: 10.0ms
Operation ival-div, time spent: 5.0ms, 52.0% of total-time
Operation ival-atan, time spent: 4.0ms, 42.0% 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)

localize88.0ms (4.1%)

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: 69.0ms
Operation ival-atan, time spent: 66.0ms, 96.0% of total-time
Operation ival-div, time spent: 2.0ms, 3.0% 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))

rewrite249.0ms (11.5%)

Algorithm
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
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)))

simplify59.0ms (2.7%)

Algorithm
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
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)

prune8.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh000
Picked011
Done000
Total39443
Accuracy
100.0%
Counts
43 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
100.0%
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
79.4%
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 32 to 24 computations (25% saved)

localize168.0ms (7.7%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(atan.f64 (/.f64 y x))
98.7%
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
89.7%
(cbrt.f64 (atan.f64 (/.f64 y x)))
100.0%
(atan.f64 (/.f64 y x))
100.0%
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
99.5%
(expm1.f64 (atan.f64 (/.f64 y x)))
100.0%
(atan.f64 (/.f64 y x))
99.0%
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))
79.4%
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
Compiler

Compiled 68 to 17 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
Operation composed, time spent: 40.0ms, 33.0% of total-time
Operation ival-pow, time spent: 29.0ms, 24.0% of total-time
Operation ival-log, time spent: 25.0ms, 20.0% of total-time
Operation ival-cbrt, time spent: 8.0ms, 7.0% of total-time
Operation ival-exp, time spent: 6.0ms, 5.0% of total-time
Operation ival-div, time spent: 5.0ms, 4.0% of total-time
Operation ival-sub, time spent: 3.0ms, 2.0% of total-time
Operation ival-add, time spent: 3.0ms, 2.0% of total-time
Operation ival-atan, time spent: 3.0ms, 2.0% of total-time
Operation const, time spent: 2.0ms, 2.0% of total-time

series22.0ms (1%)

Counts
6 → 96
Calls
Call 1
Inputs
#<alt (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))>
#<alt (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))>
#<alt (expm1.f64 (atan.f64 (/.f64 y x)))>
#<alt (log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))>
#<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))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 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 (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

36 calls:

TimeVariablePointExpression
4.0ms
y
@inf
(cbrt (atan (/ y x)))
3.0ms
y
@0
(cbrt (atan (/ y x)))
2.0ms
y
@-inf
(cbrt (atan (/ y x)))
2.0ms
x
@inf
(cbrt (atan (/ y x)))
2.0ms
x
@-inf
(cbrt (atan (/ y x)))

rewrite129.0ms (5.9%)

Algorithm
batch-egg-rewrite
Rules
633×log1p-expm1-u
632×expm1-log1p-u
556×pow1
365×log-prod
288×prod-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017116
1190116
21870116
Stop Event
node limit
Counts
6 → 259
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
(pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(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) (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 (log1p.f64 (pow.f64 (expm1.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (expm1.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) (expm1.f64 (atan.f64 (/.f64 y x)))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (/.f64 y x))))))
(*.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 1 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))))
(*.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 (*.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 (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)))
(pow.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 1/3 binary64))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.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 1/2 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 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 9 binary64)) #s(literal 1/9 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))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/2 binary64)) #s(literal 2/3 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))))
(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 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/3 binary64)) (*.f64 #s(literal 2/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) (*.f64 #s(literal 2/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))
(exp.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/3 binary64))))
(exp.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64)) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64)) (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (atan.f64 (/.f64 y x)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)) (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 8 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 7 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) (atan.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/2 binary64)) (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 8 binary64)) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 7 binary64)) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 5/2 binary64)) (sqrt.f64 (atan.f64 (/.f64 y x))))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 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 9 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
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(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 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
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(exp.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/3 binary64))))
(exp.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))))
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(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64)) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64)) (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64))))

simplify156.0ms (7.2%)

Algorithm
egg-herbie
Rules
894×fma-define
556×exp-prod
550×prod-exp
503×fma-neg
470×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03488589942703
16028589942643
215358589942643
353458589942643
Stop Event
node limit
Counts
355 → 178
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))
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(exp.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64)) (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64)) (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 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 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
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(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
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(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (atan.f64 (/.f64 y x)))
(-.f64 (exp.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64))
(expm1.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))
(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) (atan.f64 (/.f64 y x)))
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(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
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(atan.f64 (/.f64 y x))
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(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (expm1.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (atan.f64 (/.f64 y x)) #s(literal 1 binary64))
(atan.f64 (/.f64 y x))
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(*.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 #s(literal 1 binary64) (atan.f64 (/.f64 y x)))
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(*.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))
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(atan.f64 (/.f64 y x))
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(*.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))))
(atan.f64 (/.f64 y x))
(*.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))
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(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 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
(atan.f64 (/.f64 y x))
(pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) #s(literal 3/2 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 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 9 binary64))
(atan.f64 (/.f64 y x))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
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(atan.f64 (/.f64 y x))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 1/6 binary64)) #s(literal 6 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 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3/2 binary64)) #s(literal 2/3 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))))
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(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
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(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
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(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
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(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1 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 (*.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 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 2 binary64)))
(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(atan.f64 (/.f64 y x))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/3 binary64)) (*.f64 #s(literal 2/3 binary64) (log.f64 (atan.f64 (/.f64 y x))))))
(atan.f64 (/.f64 y x))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64)) (*.f64 #s(literal 2/3 binary64) (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)))) (*.f64 (log.f64 (atan.f64 (/.f64 y x))) #s(literal 1/3 binary64))))
(atan.f64 (/.f64 y x))
(exp.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (atan.f64 (/.f64 y x)))) (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) #s(literal 1 binary64))))
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(atan.f64 (/.f64 y x))
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(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (expm1.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) (expm1.f64 (atan.f64 (/.f64 y x)))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (atan.f64 (/.f64 y x))) #s(literal 2 binary64)) (expm1.f64 (atan.f64 (/.f64 y x))))))
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(atan.f64 (/.f64 y x))
(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
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(*.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)))))
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(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
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eval117.0ms (5.4%)

Compiler

Compiled 7127 to 2909 computations (59.2% saved)

prune47.0ms (2.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New5560556
Fresh000
Picked033
Done011
Total5564560
Accuracy
100.0%
Counts
560 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
100.0%
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
79.4%
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 58 to 36 computations (37.9% saved)

regimes7.0ms (0.3%)

Accuracy

Total -13.8b remaining (-88451.1%)

Threshold costs -13.8b (-88451.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) #s(literal 3 binary64))
Outputs
(atan.f64 (/.f64 y x))
Calls

4 calls:

2.0ms
y
2.0ms
x
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)

simplify23.0ms (1.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
Stop Event
done
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%)

preprocess30.0ms (1.4%)

Compiler

Compiled 34 to 22 computations (35.3% saved)

Profiling

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