bug329 (missed optimization)

Time bar (total: 1.7s)

analyze10.0ms (0.6%)

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: 4.0ms
Operation ival->=, time spent: 2.0ms, 50.0% of total-time
Operation ival-atan, time spent: 1.0ms, 25.0% of total-time
Operation ival-div, time spent: 1.0ms, 25.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample803.0ms (47.1%)

Results
759.0ms8255×0valid
0.0ms1×0valid
Precisions
Click to see histograms. Total time spent on operations: 200.0ms
Operation ival-div, time spent: 83.0ms, 42.0% of total-time
Operation ival-atan, time spent: 57.0ms, 29.0% of total-time
Operation ival->=, time spent: 48.0ms, 24.0% of total-time
Operation const, time spent: 11.0ms, 6.0% of total-time
Bogosity

preprocess86.0ms (5%)

Algorithm
1×egg-herbie
Rules
40×fma-def
40×sub-neg
28×+-commutative
20×div-sub
12×*-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
246143
359143
478143
599143
6124143
7151143
8155143
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))
(neg.f64 (atan.f64 (/.f64 y (neg.f64 x))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) 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, 56.0% of total-time
Operation ival-atan, time spent: 3.0ms, 34.0% 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)

localize22.0ms (1.3%)

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: 4.0ms
Operation ival-atan, time spent: 2.0ms, 45.0% of total-time
Operation ival-div, time spent: 2.0ms, 45.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series1.0ms (0%)

Counts
1 → 0
Calls

6 calls:

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

rewrite177.0ms (10.4%)

Algorithm
1×batch-egg-rewrite
Rules
610×unpow-prod-down
452×cbrt-prod
452×log-prod
418×log1p-expm1-u
418×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
19017
2112117
Stop Event
1×node limit
Counts
1 → 36
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))))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(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))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))

simplify81.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
806×log-prod
790×fma-neg
766×associate-*r*
650×associate-*l*
632×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0100974
1204908
2580896
33457896
47826896
Stop Event
1×node limit
Counts
36 → 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))))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(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))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
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 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 y x))))))
(atan.f64 (/.f64 y x))
(-.f64 (+.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 (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)))))
(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))))
(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))
(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))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))

eval7.0ms (0.4%)

Compiler

Compiled 451 to 157 computations (65.2% saved)

prune10.0ms (0.6%)

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
▶97.6%
(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)

localize286.0ms (16.8%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓89.0%
(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: 193.0ms
Operation ival-atan, time spent: 122.0ms, 63.0% of total-time
Operation ival-pow, time spent: 30.0ms, 16.0% of total-time
Operation ival-div, time spent: 19.0ms, 10.0% of total-time
Operation ival-cbrt, time spent: 17.0ms, 9.0% of total-time
Operation const, time spent: 5.0ms, 3.0% of total-time

series11.0ms (0.6%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(cbrt.f64 (atan.f64 (/.f64 y x)))
2.0ms
y
@0
(cbrt.f64 (atan.f64 (/.f64 y x)))
2.0ms
y
@inf
(cbrt.f64 (atan.f64 (/.f64 y x)))
2.0ms
x
@inf
(cbrt.f64 (atan.f64 (/.f64 y x)))
2.0ms
y
@-inf
(cbrt.f64 (atan.f64 (/.f64 y x)))

rewrite74.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
704×unpow-prod-down
518×log-prod
494×cbrt-prod
475×log1p-expm1-u
475×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
110721
2129421
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(cbrt.f64 (atan.f64 (/.f64 y x)))
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 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 (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 (atan.f64 (/.f64 y x)) 5/6) 1/3) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)))
(*.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 (cbrt.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 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/6)) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 1/2)
(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)))))
(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))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))

simplify75.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
1264×fma-neg
822×log-prod
776×exp-prod
582×associate-*r*
544×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0954294968891
12011573
25271561
326581561
459761561
Stop Event
1×node limit
Counts
57 → 41
Calls
Call 1
Inputs
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(+.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 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 (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 (atan.f64 (/.f64 y x)) 5/6) 1/3) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)))
(*.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 (cbrt.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 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/6)) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 1/2)
(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)))))
(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))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
Outputs
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(+.f64 0 (cbrt.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))))
(+.f64 (*.f64 2 (log.f64 (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 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))) 3)
(+.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)))))))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(-.f64 (+.f64 1 (cbrt.f64 (atan.f64 (/.f64 y x)))) 1)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 1)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 1 (cbrt.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(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))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(*.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 (cbrt.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 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 4) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 8)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.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 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/6)) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)))
(*.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))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 4) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 8)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 5/6)) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6)))
(pow.f64 (atan.f64 (/.f64 y x)) 1/3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 1)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 3)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 1/2)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2) 1/6)
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/9)
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/18) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/18))
(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)
(*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(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)))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(exp.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x))))) 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)))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(cbrt.f64 (atan.f64 (/.f64 y x)))

eval18.0ms (1.1%)

Compiler

Compiled 567 to 237 computations (58.2% saved)

prune6.0ms (0.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New41041
Fresh000
Picked011
Done011
Total41243
Accuracy
100.0%
Counts
43 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.6%
(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 (0.7%)

Accuracy

Total -1.5b remaining (-39541.7%)

Threshold costs -1.5b (-39541.7%)

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:

4.0ms
y
3.0ms
x
3.0ms
(/.f64 y x)
2.0ms
(atan.f64 (/.f64 y x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(atan.f64 (/.f64 y x))
100.0%1(/.f64 y x)
Compiler

Compiled 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%)

preprocess25.0ms (1.5%)

Compiler

Compiled 34 to 22 computations (35.3% saved)

Profiling

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