Expression 2, p15

Time bar (total: 2.1s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-and, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-<=, time spent: 0.0ms, 0.0% of total-time

sample1.4s (65.5%)

Results
1.3s8255×256valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 252.0ms
Operation ival-mult, time spent: 91.0ms, 36.0% of total-time
Operation ival-<=, time spent: 83.0ms, 33.0% of total-time
Operation ival-add, time spent: 53.0ms, 21.0% of total-time
Operation const, time spent: 14.0ms, 6.0% of total-time
Operation ival-and, time spent: 12.0ms, 5.0% of total-time
Bogosity

preprocess106.0ms (5%)

Algorithm
1×egg-herbie
Rules
216×fma-define
208×fma-neg
50×associate-*r*
50×unsub-neg
42×distribute-lft-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 x x)
00-0-(+.f64 x (*.f64 x x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01294
13376
29974
330474
450374
561774
662274
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 x x))
(+.f64 x (*.f64 x x))
(+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 x)))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 x))))
Outputs
(+.f64 x (*.f64 x x))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x x x)
(+.f64 x (*.f64 x x))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x x x)
(+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 x)))
(+.f64 (neg.f64 x) (*.f64 x x))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 x))))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) x)
(*.f64 x (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 28 to 11 computations (60.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
Operation ival-mult, time spent: 7.0ms, 62.0% of total-time
Operation ival-add, time spent: 4.0ms, 36.0% of total-time
Operation const, time spent: 1.0ms, 9.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 10 to 5 computations (50% saved)

prune3.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 x (*.f64 x x))
▶100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
Compiler

Compiled 12 to 7 computations (41.7% saved)

localize35.0ms (1.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 x (*.f64 x x))
✓100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
Compiler

Compiled 21 to 10 computations (52.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
Operation ival-add, time spent: 5.0ms, 55.0% of total-time
Operation ival-mult, time spent: 4.0ms, 44.0% of total-time
Operation const, time spent: 1.0ms, 11.0% of total-time

series3.0ms (0.2%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 x #s(literal 1 binary64)) x)>
#<alt (+.f64 x (*.f64 x x))>
Outputs
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* (+ x 1) x)
1.0ms
x
@inf
(* (+ x 1) x)
0.0ms
x
@0
(* (+ x 1) x)
0.0ms
x
@inf
(+ x (* x x))
0.0ms
x
@0
(+ x (* x x))

rewrite323.0ms (15.3%)

Algorithm
1×batch-egg-rewrite
Rules
1538×prod-diff
890×unpow-prod-down
722×fma-define
529×log1p-expm1-u
529×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01038
113336
2159436
Stop Event
1×node limit
Counts
2 → 143
Calls
Call 1
Inputs
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x (*.f64 x x))
Outputs
(+.f64 x (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 x x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 x (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) x))
(pow.f64 (fma.f64 x x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 x #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(*.f64 (fma.f64 x x x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 x x x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 x #s(literal 1 binary64))))
(*.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x x x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x x x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x x x) (cbrt.f64 (fma.f64 x x x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)) (hypot.f64 x (sqrt.f64 x))) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 x (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) x))
(pow.f64 (fma.f64 x x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 x #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)

simplify105.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
1776×fma-neg
998×unswap-sqr
830×prod-exp
678×associate-*r*
678×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02254865
14864632
210464626
341814606
Stop Event
1×node limit
Counts
167 → 106
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 x x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 x (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) x))
(pow.f64 (fma.f64 x x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 x #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(*.f64 (fma.f64 x x x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 x x x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 x #s(literal 1 binary64))))
(*.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x x x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x x x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x x x) (cbrt.f64 (fma.f64 x x x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)) (hypot.f64 x (sqrt.f64 x))) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 x (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) x))
(pow.f64 (fma.f64 x x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 x #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
Outputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(+.f64 x (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(+.f64 (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(+.f64 #s(literal 0 binary64) (fma.f64 x x x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x x))) #s(literal 1 binary64))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 x (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (+.f64 x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (+.f64 x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal -1 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (fma.f64 x x x) #s(literal 1 binary64))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(pow.f64 (cbrt.f64 (fma.f64 x x x)) #s(literal 3 binary64))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)))
(fabs.f64 (fma.f64 x x x))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64)))
(pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (/.f64 (-.f64 x (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)))
(fabs.f64 (fma.f64 x x x))
(log.f64 (exp.f64 (fma.f64 x x x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x x))))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (exp.f64 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x x))) #s(literal 3 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) #s(literal 1/3 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) #s(literal 2 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 x x x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 #s(literal 1 binary64) x (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
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(exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 x x x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 #s(literal 1 binary64) x (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) x)
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (fabs.f64 (cbrt.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)

eval27.0ms (1.3%)

Compiler

Compiled 1193 to 656 computations (45% saved)

prune27.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1051106
Fresh000
Picked022
Done000
Total1053108
Accuracy
100.0%
Counts
108 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 x (*.f64 x x))
✓100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
▶97.6%
x
Compiler

Compiled 14 to 8 computations (42.9% saved)

localize12.0ms (0.6%)

Compiler

Compiled 3 to 2 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 x (*.f64 x x))
✓100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
✓97.6%
x
Compiler

Compiled 26 to 14 computations (46.2% saved)

regimes6.0ms (0.3%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x (*.f64 x x))
Outputs
(+.f64 x (*.f64 x x))
Calls

2 calls:

3.0ms
x
3.0ms
(+.f64 x (*.f64 x x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 x (*.f64 x x))
Compiler

Compiled 8 to 4 computations (50% saved)

regimes3.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
Outputs
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
97.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
4×+-commutative
3×1-exp
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01045
11945
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 x x))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
x
Outputs
(+.f64 x (*.f64 x x))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
x
Compiler

Compiled 14 to 8 computations (42.9% saved)

soundness32.0ms (1.5%)

Rules
216×fma-define
208×fma-neg
50×associate-*r*
50×unsub-neg
42×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01294
13376
29974
330474
450374
561774
662274
Stop Event
1×saturated
Compiler

Compiled 11 to 6 computations (45.5% saved)

end0.0ms (0%)

preprocess40.0ms (1.9%)

Compiler

Compiled 48 to 26 computations (45.8% saved)

Profiling

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