bug329 (missed optimization)

Time bar (total: 1.8s)

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

sample1.0s (55.1%)

Results
957.0ms8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 275.0ms
Operation ival-div, time spent: 134.0ms, 49.0% of total-time
Operation ival-atan, time spent: 84.0ms, 31.0% of total-time
Operation ival->=, time spent: 48.0ms, 17.0% of total-time
Operation const, time spent: 9.0ms, 3.0% of total-time
Bogosity

preprocess105.0ms (5.8%)

Algorithm
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-(/.f64 y x)
00-0-y
00-0-(atan.f64 (/.f64 y x))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
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 36 to 18 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
Operation ival-div, time spent: 5.0ms, 51.0% of total-time
Operation ival-atan, time spent: 4.0ms, 41.0% 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)

localize25.0ms (1.4%)

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, 40.0% of total-time
Operation ival-atan, time spent: 2.0ms, 40.0% 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
@0
(atan (/ y x))
0.0ms
x
@-inf
(atan (/ y x))
0.0ms
y
@-inf
(atan (/ y x))
0.0ms
y
@inf
(atan (/ y x))
0.0ms
x
@inf
(atan (/ y x))

rewrite175.0ms (9.6%)

Algorithm
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
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
Outputs
(+.f64 0 (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(*.f64 (atan.f64 (/.f64 y x)) 1)
(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (E.f64)))
(*.f64 1 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/2)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (atan.f64 (/.f64 y x)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
(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)))) 2)) (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)) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(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)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (/.f64 y x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) 2))

simplify66.0ms (3.6%)

Algorithm
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
node limit
Counts
37 → 42
Calls
Call 1
Inputs
(+.f64 0 (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(*.f64 (atan.f64 (/.f64 y x)) 1)
(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (E.f64)))
(*.f64 1 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/2)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (atan.f64 (/.f64 y x)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
(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)))) 2)) (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)) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(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)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (/.f64 y x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) 2))
Outputs
(+.f64 0 (atan.f64 (/.f64 y x)))
(atan.f64 (/.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(atan.f64 (/.f64 y x))
(*.f64 (atan.f64 (/.f64 y x)) 1)
(atan.f64 (/.f64 y x))
(*.f64 (atan.f64 (/.f64 y x)) (log.f64 (E.f64)))
(atan.f64 (/.f64 y x))
(*.f64 1 (atan.f64 (/.f64 y x)))
(atan.f64 (/.f64 y x))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3)) 1/3))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) 1/3) (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)))) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 8)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/2)) (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)) 5/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))))
(atan.f64 (/.f64 y x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 y x)) (cbrt.f64 (atan.f64 (/.f64 y x)))) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 4) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 8)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/2)) (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)) 5/2)))
(pow.f64 (atan.f64 (/.f64 y x)) 1)
(atan.f64 (/.f64 y x))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
(atan.f64 (/.f64 y x))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1/2)
(atan.f64 (/.f64 y x))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(atan.f64 (/.f64 y x))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
(atan.f64 (/.f64 y x))
(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)))) 2)) (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)) 2))
(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)) 3))
(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)))) 3))
(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (/.f64 y x)))) 1/3))
(atan.f64 (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) 2))
(atan.f64 (/.f64 y x))

eval7.0ms (0.4%)

Compiler

Compiled 445 to 160 computations (64% saved)

prune7.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Compiled 15 to 11 computations (26.7% saved)

localize41.0ms (2.3%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(atan.f64 (/.f64 y x))
98.9%
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
85.4%
(cbrt.f64 (atan.f64 (/.f64 y x)))
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-pow, time spent: 6.0ms, 46.0% of total-time
Operation ival-div, time spent: 2.0ms, 15.0% of total-time
Operation ival-atan, time spent: 2.0ms, 15.0% of total-time
Operation ival-cbrt, time spent: 2.0ms, 15.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time

series14.0ms (0.8%)

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

12 calls:

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

rewrite83.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
1008×unpow-prod-down
560×log-prod
491×log1p-expm1-u
491×expm1-log1p-u
469×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

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

simplify69.0ms (3.8%)

Algorithm
egg-herbie
Rules
1858×prod-exp
1162×unswap-sqr
582×associate-+l+
576×exp-prod
574×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

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

eval129.0ms (7.1%)

Compiler

Compiled 1823 to 754 computations (58.6% saved)

prune33.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Compiled 28 to 18 computations (35.7% saved)

regimes12.0ms (0.6%)

Accuracy

Total -1.4b remaining (-18396.4%)

Threshold costs -1.4b (-18396.4%)

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

4 calls:

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

Compiled 17 to 11 computations (35.3% saved)

simplify2.0ms (0.1%)

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%)

preprocess38.0ms (2.1%)

Compiler

Compiled 34 to 22 computations (35.3% saved)

Profiling

Loading profile data...