bug329 (missed optimization)

Time bar (total: 1.4s)

analyze8.0ms (0.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
75%37.5%12.5%50%0%0%0%5
87.5%43.7%6.2%50%0%0%0%6
87.5%43.7%6.2%50%0%0%0%7
93.8%46.8%3.1%50%0%0%0%8
93.8%46.8%3.1%50%0%0%0%9
96.9%48.4%1.6%50%0%0%0%10
96.9%48.4%1.6%50%0%0%0%11
98.4%49.2%0.8%50%0%0%0%12
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample862.0ms (60.1%)

Results
852.0ms8256×body256valid
Bogosity

preprocess42.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
32×fma-def
28×sub-neg
20×+-commutative
20×div-sub
8×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01552
12252
23352
34452
45552
57052
69152
711852
812252
Stop Event
1×saturated
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y (neg.f64 x)))
(atan.f64 (/.f64 (neg.f64 y) x))
(atan.f64 (/.f64 x y))
Outputs
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 y (neg.f64 x)))
(atan.f64 (/.f64 (neg.f64 y) x))
(atan.f64 (/.f64 x y))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
Outputs
(atan.f64 (/.f64 y x))

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
100.0%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(atan.f64 (/.f64 y x))
▶100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize22.0ms (1.6%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 12 to 5 computations (58.3% saved)

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))

rewrite99.0ms (6.9%)

Algorithm
1×batch-egg-rewrite
Rules
1442×pow1
1320×add-exp-log
1320×log1p-expm1-u
1320×expm1-log1p-u
1288×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114111
2177611
Stop Event
1×node limit
Counts
1 → 16
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
Outputs
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(*.f64 (atan.f64 (/.f64 y x)) 1)
(*.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))))
(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)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
(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))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))

simplify63.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
1082×log-prod
796×fma-neg
742×exp-prod
612×fma-def
524×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037368
169272
2274176
31673176
43893176
55750176
Stop Event
1×node limit
Counts
16 → 19
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(*.f64 (atan.f64 (/.f64 y x)) 1)
(*.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))))
(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)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
(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))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
Outputs
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(*.f64 (atan.f64 (/.f64 y x)) 1)
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(*.f64 1 (atan.f64 (/.f64 y x)))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(pow.f64 (atan.f64 (/.f64 y x)) 1)
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3) 1/3)
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 2)
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 2))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(log.f64 (exp.f64 (atan.f64 (/.f64 y x))))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 y x)) 3))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 y x))))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))
(+.f64 1 (-.f64 (atan.f64 (/.f64 y x)) 1))
(+.f64 (atan.f64 (/.f64 y x)) 0)
(atan.f64 (/.f64 y x))

eval3.0ms (0.2%)

Compiler

Compiled 143 to 51 computations (64.3% saved)

prune4.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New18119
Fresh000
Picked011
Done000
Total18220
Accurracy
100.0%
Counts
20 → 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))
▶97.6%
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
✓100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize72.0ms (5%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(atan.f64 (/.f64 y x))
✓98.8%
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
✓90.4%
(cbrt.f64 (atan.f64 (/.f64 y x)))
Compiler

Compiled 25 to 9 computations (64% saved)

series14.0ms (1%)

Counts
2 → 48
Calls

12 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
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
2.0ms
y
@inf
(cbrt.f64 (atan.f64 (/.f64 y x)))
1.0ms
x
@inf
(cbrt.f64 (atan.f64 (/.f64 y x)))

rewrite76.0ms (5.3%)

Algorithm
1×batch-egg-rewrite
Rules
1782×pow1
1656×add-exp-log
1656×log1p-expm1-u
1656×expm1-log1p-u
1618×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
120826
2229426
Stop Event
1×node limit
Counts
2 → 39
Calls
Call 1
Inputs
(cbrt.f64 (atan.f64 (/.f64 y x)))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 3)
Outputs
(-.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 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 1/3))
(*.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 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 1/3) (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 1/3))
(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 (atan.f64 (/.f64 y x)) 1/6) 2)
(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)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(*.f64 (atan.f64 (/.f64 y x)) 1)
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))
(*.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 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) 3) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) 3) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 1) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (pow.f64 (atan.f64 (/.f64 y x)) 1/6)) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(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))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 y x))))

simplify81.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
1362×fma-def
964×unswap-sqr
856×log-prod
828×exp-prod
736×cube-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0791157
11551157
24971157
324111141
Stop Event
1×node limit
Counts
87 → 43
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 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (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 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 1/3))
(*.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 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 1/3) (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 1/3))
(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 (atan.f64 (/.f64 y x)) 1/6) 2)
(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)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(-.f64 (+.f64 1 (atan.f64 (/.f64 y x))) 1)
(*.f64 (atan.f64 (/.f64 y x)) 1)
(*.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))
(*.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 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) (sqrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) 3) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) 3) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 1) (cbrt.f64 (atan.f64 (/.f64 y x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (pow.f64 (atan.f64 (/.f64 y x)) 1/6)) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(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))))
(exp.f64 (log.f64 (atan.f64 (/.f64 y x))))
(log1p.f64 (expm1.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 (pow.f64 1 1/3) (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 1 1/3) (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 1 1/3) (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 1 1/3) (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 1 1/3) (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 1 1/3) (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 1 1/3) (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 1 1/3) (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 1 1/3) (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 1 1/3) (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 1 1/3) (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 1 1/3) (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 (+.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 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 1/3))
(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 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan.f64 (/.f64 y x))))
(cbrt.f64 (atan.f64 (/.f64 y x)))
(*.f64 (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 1/3) (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 y x)))))
(pow.f64 (pow.f64 (sqrt.f64 (atan.f64 (/.f64 y x))) 1/6) 4)
(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 (atan.f64 (/.f64 y x)) 1/6) 2)
(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)))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))))
(cbrt.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 (cbrt.f64 (atan.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2))
(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 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (cbrt.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (*.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2)))
(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 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 y x)))) 2) 3) (cbrt.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) 3) (pow.f64 (pow.f64 (atan.f64 (/.f64 y x)) 1/6) 3))
(atan.f64 (/.f64 y x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) 1) (cbrt.f64 (atan.f64 (/.f64 y x))))
(atan.f64 (/.f64 y x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (pow.f64 (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 (*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 y x))) 2) (pow.f64 (atan.f64 (/.f64 y x)) 1/6)) (pow.f64 (atan.f64 (/.f64 y x)) 1/6))
(atan.f64 (/.f64 y 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))
(exp.f64 (log.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))

eval15.0ms (1%)

Compiler

Compiled 701 to 288 computations (58.9% saved)

prune8.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh000
Picked011
Done011
Total62264
Accurracy
100.0%
Counts
64 → 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)

regimes25.0ms (1.7%)

Accuracy

Total -1.5b remaining (-19517%)

Threshold costs -1.5b (-19517%)

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:

16.0ms
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 30 to 18 computations (40% saved)

simplify4.0ms (0.3%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
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%)

preprocess34.0ms (2.3%)

Compiler

Compiled 34 to 22 computations (35.3% saved)

Profiling

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