ENA, Section 1.4, Mentioned, A

Time bar (total: 4.4s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.6%50.4%0%0%0%0
100%49.6%0%50.4%0%0%0%1
Compiler

Compiled 12 to 9 computations (25% saved)

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

sample2.0s (45.8%)

Results
1.8s8148×1valid
10.0ms107×0valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
Operation ival-cos, time spent: 319.0ms, 32.0% of total-time
Operation ival-sub, time spent: 255.0ms, 25.0% of total-time
Operation backward-pass, time spent: 218.0ms, 22.0% of total-time
Operation ival-<=, time spent: 162.0ms, 16.0% of total-time
Operation const, time spent: 29.0ms, 3.0% of total-time
Operation ival-and, time spent: 22.0ms, 2.0% of total-time
Bogosity

preprocess242.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
16×fma-neg
11×fma-define
9×sub-neg
7×associate--r+
6×associate-+l-
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1301(9.20564124007961e-162)0-(-.f64 #s(literal 1 binary64) (cos.f64 x))
00-0-x
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01360
12556
24456
36656
410656
513156
614156
714356
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x)))
(neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))))
Outputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))))
(neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(+.f64 (cos.f64 x) #s(literal -1 binary64))
Symmetry

(abs x)

Compiler

Compiled 25 to 16 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
Operation ival-cos, time spent: 90.0ms, 87.0% of total-time
Operation ival-sub, time spent: 10.0ms, 10.0% of total-time
Operation const, time spent: 3.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.0%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Compiler

Compiled 5 to 4 computations (20% saved)

localize87.0ms (2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓53.0%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
Operation ival-cos, time spent: 40.0ms, 86.0% of total-time
Operation ival-sub, time spent: 5.0ms, 11.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

series2.0ms (0%)

Counts
1 → 4
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(- 1 (cos x))
0.0ms
x
@inf
(- 1 (cos x))
0.0ms
x
@-inf
(- 1 (cos x))

rewrite240.0ms (5.5%)

Algorithm
1×batch-egg-rewrite
Rules
361×log1p-expm1-u
361×expm1-log1p-u
344×add-exp-log
330×add-log-exp
329×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
18214
295414
Stop Event
1×node limit
Counts
1 → 61
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 (log.f64 (E.f64)) (neg.f64 (cos.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))

simplify82.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
454×unswap-sqr
427×associate-*r*
402×fma-neg
382×associate-*l*
350×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01852109
13731995
210181941
346161913
Stop Event
1×node limit
Counts
65 → 83
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 (log.f64 (E.f64)) (neg.f64 (cos.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (log.f64 (E.f64)) (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (log.f64 (E.f64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 1/3 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))

eval22.0ms (0.5%)

Compiler

Compiled 1010 to 673 computations (33.4% saved)

prune11.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New81283
Fresh000
Picked011
Done000
Total81384
Accuracy
100.0%
Counts
84 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.0%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
▶100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶99.9%
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 19 to 15 computations (21.1% saved)

localize62.0ms (1.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓100.0%
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 31 to 21 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
Operation ival-pow, time spent: 7.0ms, 28.0% of total-time
Operation ival-tan, time spent: 6.0ms, 24.0% of total-time
Operation ival-div, time spent: 5.0ms, 20.0% of total-time
Operation ival-mult, time spent: 4.0ms, 16.0% of total-time
Operation ival-sin, time spent: 2.0ms, 8.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

series5.0ms (0.1%)

Counts
2 → 12
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (tan.f64 (/.f64 x #s(literal 2 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(tan (/ x 2))
1.0ms
x
@inf
(tan (/ x 2))
1.0ms
x
@-inf
(tan (/ x 2))
1.0ms
x
@0
(* 1/2 (pow x 2))
0.0ms
x
@inf
(* 1/2 (pow x 2))

rewrite86.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
456×log1p-expm1-u
456×expm1-log1p-u
437×add-exp-log
426×unpow-prod-down
422×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01230
111830
2134130
Stop Event
1×node limit
Counts
2 → 63
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Outputs
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 (E.f64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 (sin.f64 (+.f64 #s(literal 1 binary64) x)) (sin.f64 #s(literal 1 binary64))) (+.f64 (cos.f64 (+.f64 #s(literal 1 binary64) x)) (cos.f64 #s(literal 1 binary64))))
(pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (sqrt.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))

simplify112.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
892×prod-exp
314×fma-define
283×associate-+l+
274×fma-neg
264×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01921967
13531911
28471893
324551893
443801893
572151893
Stop Event
1×node limit
Counts
75 → 86
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 (E.f64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 (sin.f64 (+.f64 #s(literal 1 binary64) x)) (sin.f64 #s(literal 1 binary64))) (+.f64 (cos.f64 (+.f64 #s(literal 1 binary64) x)) (cos.f64 #s(literal 1 binary64))))
(pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (sqrt.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 (E.f64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 5/2 binary64))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (sin.f64 (+.f64 #s(literal 1 binary64) x)) (sin.f64 #s(literal 1 binary64))) (+.f64 (cos.f64 (+.f64 #s(literal 1 binary64) x)) (cos.f64 #s(literal 1 binary64))))
(tan.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(tan.f64 (/.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 2 binary64)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (sqrt.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(log.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))

eval38.0ms (0.9%)

Compiler

Compiled 1082 to 817 computations (24.5% saved)

prune12.0ms (0.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New84286
Fresh000
Picked022
Done011
Total84589
Accuracy
100.0%
Counts
89 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.0%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
▶99.9%
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) x))
✓100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓99.9%
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
▶67.7%
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

localize68.0ms (1.6%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) x))
✓100.0%
(pow.f64 x #s(literal 6 binary64))
✓100.0%
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))
✓67.8%
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
Compiler

Compiled 32 to 22 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
Operation ival-pow, time spent: 14.0ms, 48.0% of total-time
Operation ival-mult, time spent: 9.0ms, 31.0% of total-time
Operation ival-sin, time spent: 2.0ms, 7.0% of total-time
Operation ival-cbrt, time spent: 2.0ms, 7.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

series7.0ms (0.1%)

Counts
4 → 36
Calls
Call 1
Inputs
#<alt (cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))>
#<alt (pow.f64 x #s(literal 6 binary64))>
#<alt (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) x))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/12 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* (sin x) (* 1/2 x))
1.0ms
x
@-inf
(* (sin x) (* 1/2 x))
1.0ms
x
@inf
(* (sin x) (* 1/2 x))
1.0ms
x
@0
(* (pow x 6) 1/8)
0.0ms
x
@inf
(* (pow x 6) 1/8)

rewrite93.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
719×unpow-prod-down
602×log1p-expm1-u
602×expm1-log1p-u
385×log-prod
246×pow-prod-down
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01569
115469
2177068
Stop Event
1×node limit
Counts
4 → 122
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))
(pow.f64 x #s(literal 6 binary64))
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) x))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64)))) (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))) (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64))))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64)) #s(literal 1/6 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/512 binary64)) #s(literal 1/9 binary64))
(pow.f64 (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 2/3 binary64))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64))))
(log.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/8 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 9 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))) #s(literal 6 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/512 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/8 binary64))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 18 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 15 binary64)) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) x)
(sqrt.f64 (pow.f64 x #s(literal 12 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 6 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 18 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 6 binary64))))
(exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 18 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify149.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1117×fma-define
483×exp-prod
407×prod-exp
347×exp-sum
326×fma-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
03348589937905
16108589937880
213848589937868
329118589937868
457728589937856
Stop Event
1×node limit
Counts
158 → 161
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/12 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64)))) (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))) (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64))))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64)) #s(literal 1/6 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/512 binary64)) #s(literal 1/9 binary64))
(pow.f64 (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 2/3 binary64))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64))))
(log.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/8 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 9 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))) #s(literal 6 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/512 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/8 binary64))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 18 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 15 binary64)) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) x)
(sqrt.f64 (pow.f64 x #s(literal 12 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 6 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 18 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 6 binary64))))
(exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 18 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/12 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/10080 binary64))) #s(literal -1/12 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal -1/10080 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/12 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64)))) (cbrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64)))))
(*.f64 (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))) (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))))
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(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64)))))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
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(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))

eval154.0ms (3.5%)

Compiler

Compiled 1753 to 1387 computations (20.9% saved)

prune22.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1592161
Fresh000
Picked202
Done213
Total1633166
Accuracy
100.0%
Counts
166 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
▶99.9%
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
✓100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Compiler

Compiled 21 to 16 computations (23.8% saved)

localize54.0ms (1.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
✓98.4%
(cbrt.f64 #s(literal 1/8 binary64))
Compiler

Compiled 26 to 19 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-mult, time spent: 10.0ms, 51.0% of total-time
Operation ival-pow, time spent: 5.0ms, 26.0% of total-time
Operation ival-cbrt, time spent: 3.0ms, 15.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

series3.0ms (0.1%)

Counts
2 → 12
Calls
Call 1
Inputs
#<alt (cbrt.f64 #s(literal 1/8 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(* (pow x 2) (cbrt 1/8))
0.0ms
x
@inf
(* (pow x 2) (cbrt 1/8))
0.0ms
x
@-inf
(* (pow x 2) (cbrt 1/8))

rewrite68.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
308×log1p-expm1-u
308×expm1-log1p-u
301×unpow-prod-down
291×add-exp-log
280×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
19025
296325
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(cbrt.f64 #s(literal 1/8 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal 1/8 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 1/64 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 1/64 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/12 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/12 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))) #s(literal 5 binary64))) (pow.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/8 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)))))
(pow.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 #s(literal 1/64 binary64)) #s(literal 1/2 binary64))
(pow.f64 #s(literal 1/8 binary64) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(pow.f64 #s(literal 1/64 binary64) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cbrt.f64 #s(literal 1/8 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 #s(literal 1/8 binary64))))) (sqrt.f64 (log.f64 (cbrt.f64 #s(literal 1/8 binary64)))))
(sqrt.f64 (cbrt.f64 #s(literal 1/64 binary64)))
(fabs.f64 (cbrt.f64 #s(literal 1/8 binary64)))
(log.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(expm1.f64 (log1p.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(pow.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (cbrt.f64 #s(literal 1/64 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (cbrt.f64 #s(literal 1/64 binary64))))
(fabs.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))) #s(literal 2 binary64)))

simplify61.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
475×fma-define
460×distribute-lft-out
334×*-commutative
320×associate-+l-
306×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01541424
12741400
26701373
332731373
Stop Event
1×node limit
Counts
67 → 73
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal 1/8 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 1/64 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 1/64 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/12 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/12 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))) #s(literal 5 binary64))) (pow.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/8 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)))))
(pow.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 #s(literal 1/64 binary64)) #s(literal 1/2 binary64))
(pow.f64 #s(literal 1/8 binary64) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(pow.f64 #s(literal 1/64 binary64) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cbrt.f64 #s(literal 1/8 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 #s(literal 1/8 binary64))))) (sqrt.f64 (log.f64 (cbrt.f64 #s(literal 1/8 binary64)))))
(sqrt.f64 (cbrt.f64 #s(literal 1/64 binary64)))
(fabs.f64 (cbrt.f64 #s(literal 1/8 binary64)))
(log.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(expm1.f64 (log1p.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(pow.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (cbrt.f64 #s(literal 1/64 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (cbrt.f64 #s(literal 1/64 binary64))))
(fabs.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal 1/8 binary64)))
(cbrt.f64 #s(literal 1/8 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64))
(cbrt.f64 #s(literal 1/8 binary64))
(*.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64))
(cbrt.f64 #s(literal 1/8 binary64))
(*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (log.f64 (E.f64)))
(cbrt.f64 #s(literal 1/8 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/8 binary64)))
(cbrt.f64 #s(literal 1/8 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 1/64 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 1/64 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 1/64 binary64))))
(*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))
(cbrt.f64 #s(literal 1/8 binary64))
(*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/12 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/12 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))) #s(literal 5 binary64))) (pow.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/8 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64)) (+.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64)) (+.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (cbrt.f64 #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (cbrt.f64 #s(literal 1/8 binary64))))))
(pow.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64))
(cbrt.f64 #s(literal 1/8 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64))) #s(literal 3 binary64))
(cbrt.f64 #s(literal 1/8 binary64))
(pow.f64 (cbrt.f64 #s(literal 1/64 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (cbrt.f64 #s(literal 1/64 binary64)))
(pow.f64 #s(literal 1/8 binary64) #s(literal 1/3 binary64))
(cbrt.f64 #s(literal 1/8 binary64))
(pow.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 #s(literal 1/8 binary64))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(pow.f64 #s(literal 1/64 binary64) #s(literal 1/6 binary64))
(cbrt.f64 #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 #s(literal 1/8 binary64)))
(cbrt.f64 #s(literal 1/8 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cbrt.f64 #s(literal 1/8 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 #s(literal 1/8 binary64))))) (sqrt.f64 (log.f64 (cbrt.f64 #s(literal 1/8 binary64)))))
(sqrt.f64 (cbrt.f64 #s(literal 1/64 binary64)))
(fabs.f64 (cbrt.f64 #s(literal 1/8 binary64)))
(cbrt.f64 #s(literal 1/8 binary64))
(log.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(cbrt.f64 #s(literal 1/8 binary64))
(expm1.f64 (log1p.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(cbrt.f64 #s(literal 1/8 binary64))
(log1p.f64 (expm1.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(cbrt.f64 #s(literal 1/8 binary64))
(exp.f64 (log.f64 (cbrt.f64 #s(literal 1/8 binary64))))
(cbrt.f64 #s(literal 1/8 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 #s(literal 1/8 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 #s(literal 1/8 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(cbrt.f64 #s(literal 1/8 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cbrt.f64 #s(literal 1/8 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (cbrt.f64 #s(literal 1/64 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (cbrt.f64 #s(literal 1/64 binary64)) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))))
(pow.f64 (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (cbrt.f64 #s(literal 1/64 binary64))))
(sqrt.f64 (*.f64 (cbrt.f64 #s(literal 1/64 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))

eval33.0ms (0.8%)

Compiler

Compiled 932 to 837 computations (10.2% saved)

prune11.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh000
Picked022
Done011
Total73376
Accuracy
100.0%
Counts
76 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.1%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
✓99.9%
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
✓100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Compiler

Compiled 61 to 45 computations (26.2% saved)

regimes7.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) x))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Calls

3 calls:

4.0ms
x
1.0ms
(cos.f64 x)
1.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
100.0%1(cos.f64 x)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Accuracy

Total -30.0b remaining (-39099.4%)

Threshold costs -30b (-39099.4%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) x))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
Outputs
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
Calls

3 calls:

4.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
99.9%1(cos.f64 x)
Compiler

Compiled 10 to 7 computations (30% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01446
11746
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness580.0ms (13.2%)

Rules
892×prod-exp
719×unpow-prod-down
602×log1p-expm1-u
602×expm1-log1p-u
456×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01852109
13731995
210181941
346161913
0914
18214
295414
01569
115469
2177068
01921967
13531911
28471893
324551893
443801893
572151893
01230
111830
2134130
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 470 to 355 computations (24.5% saved)

end0.0ms (0%)

preprocess54.0ms (1.2%)

Remove

(abs x)

Compiler

Compiled 106 to 76 computations (28.3% saved)

Profiling

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