expax (section 3.5)

Time bar (total: 6.7s)

analyze28.0ms (0.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
66.7%62.4%31.2%6.3%0%0%0%6
75.9%68.7%21.9%9.5%0%0%0%7
80%68.7%17.2%14.1%0%0%0%8
86%71.8%11.7%16.5%0%0%0%9
88.9%71.8%9%19.2%0%0%0%10
92.4%73.4%6%20.6%0%0%0%11
94.1%73.4%4.6%22%0%0%0%12
Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sub: 4.0ms (31.7% of total)
ival-exp: 3.0ms (23.8% of total)
ival-mult: 3.0ms (23.8% of total)
ival->: 2.0ms (15.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.4s (21.1%)

Results
911.0ms5332×1valid
156.0ms2924×0valid
17.0ms334×0precondition
Precisions
Click to see histograms. Total time spent on operations: 692.0ms
ival-exp: 321.0ms (46.4% of total)
ival-mult: 128.0ms (18.5% of total)
ival-sub: 89.0ms (12.9% of total)
ival->: 83.0ms (12% of total)
backward-pass: 55.0ms (7.9% of total)
const: 16.0ms (2.3% of total)
Bogosity

preprocess57.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
48×fma-define
22×sub-neg
20×exp-sum
19×fmm-def
12×exp-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025143
158143
288143
3126143
4169143
5203143
6248143
7298143
8315143
9331143
10335143
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal 1 binary64))
(neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
Outputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a (neg.f64 x)))
(-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal 1 binary64))
(expm1.f64 (*.f64 a (neg.f64 x)))
(neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)))
(neg.f64 (expm1.f64 (*.f64 a (neg.f64 x))))
(neg.f64 (-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal 1 binary64)))
(neg.f64 (expm1.f64 (*.f64 a (neg.f64 x))))
(-.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
Symmetry

(sort a x)

explain95.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1332(-4.141009787487577e-157 3.534375479860135e-167)0-(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
00-0-x
00-0-(*.f64 a x)
00-0-(exp.f64 (*.f64 a x))
00-0-#s(literal 1 binary64)
00-0-a
Results
56.0ms316×1valid
11.0ms196×0valid
Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-exp: 17.0ms (46.8% of total)
ival-mult: 7.0ms (19.3% of total)
backward-pass: 6.0ms (16.5% of total)
ival-sub: 5.0ms (13.8% of total)
const: 1.0ms (2.8% of total)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize51.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 a x)
✓cost-diff0
(expm1.f64 (*.f64 a x))
✓accuracy100.0%
(*.f64 a x)
✓accuracy100.0%
(expm1.f64 (*.f64 a x))
Rules
3×1-exp
2×exp-prod
1×expm1-undefine
1×*-commutative
1×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
11438
22638
32738
Stop Event
1×saturated
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
Outputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
Results
29.0ms157×5exit
6.0ms98×0valid
0.0ms1×1valid
Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
backward-pass: 4.0ms (28.7% of total)
<compiled-spec>: 4.0ms (28.7% of total)
ival-exp: 2.0ms (14.4% of total)
ival-mult: 2.0ms (14.4% of total)
ival-sub: 1.0ms (7.2% of total)
const: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (expm1.f64 (*.f64 a x))>
#<alt (*.f64 a x)>
Outputs
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (*.f64 a x)>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
Calls

12 calls:

TimeVariablePointExpression
2.0ms
a
@-inf
(- (exp (* a x)) 1)
1.0ms
a
@0
(- (exp (* a x)) 1)
1.0ms
x
@0
(- (exp (* a x)) 1)
0.0ms
a
@inf
(* a x)
0.0ms
x
@inf
(* a x)

rewrite232.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
319×log1p-expm1-u
318×expm1-log1p-u
311×unpow-prod-down
305×add-exp-log
293×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
18230
289430
Stop Event
1×node limit
Counts
2 → 69
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
Outputs
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(fabs.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (*.f64 a x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 a x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a x)))) (sqrt.f64 (log.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 a x))
(log.f64 (pow.f64 (exp.f64 a) x))
(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 a x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a x))) #s(literal 2 binary64)))

simplify92.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
640×fma-define
504×associate-*r*
486×fmm-def
383×associate-*l*
327×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02302715
14832659
214392643
351322627
Stop Event
1×node limit
Counts
93 → 100
Calls
Call 1
Inputs
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(fabs.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (*.f64 a x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 a x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a x)))) (sqrt.f64 (log.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 a x))
(log.f64 (pow.f64 (exp.f64 a) x))
(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 a x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a x))) #s(literal 2 binary64)))
Outputs
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))) a))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))) a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 a) x) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(expm1.f64 (*.f64 a x))
(*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 a) x) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(expm1.f64 (*.f64 a x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 a) x) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(expm1.f64 (*.f64 a x))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 a) x) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 a x))
(fabs.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 a x))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(*.f64 a x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(pow.f64 (*.f64 a x) #s(literal 1 binary64))
(*.f64 a x)
(pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64))
(*.f64 a x)
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 a x)
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 a x)
(pow.f64 (sqrt.f64 (*.f64 a x)) #s(literal 2 binary64))
(*.f64 a x)
(pow.f64 (E.f64) (log.f64 (*.f64 a x)))
(*.f64 a x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a x)))) (sqrt.f64 (log.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 a x)
(fabs.f64 (*.f64 a x))
(*.f64 a x)
(log.f64 (pow.f64 (exp.f64 a) x))
(*.f64 a x)
(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
(*.f64 a x)
(expm1.f64 (log1p.f64 (*.f64 a x)))
(*.f64 a x)
(log1p.f64 (expm1.f64 (*.f64 a x)))
(*.f64 a x)
(exp.f64 (log.f64 (*.f64 a x)))
(*.f64 a x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a x))) #s(literal 3 binary64)))
(*.f64 a x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 a x))) #s(literal 1/3 binary64)))
(*.f64 a x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a x))) #s(literal 2 binary64)))
(*.f64 a x)

eval14.0ms (0.2%)

Compiler

Compiled 1282 to 341 computations (73.4% saved)

prune15.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New955100
Fresh000
Picked011
Done000
Total956101
Accuracy
100.0%
Counts
101 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶36.9%
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
▶30.9%
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
▶59.6%
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
▶62.1%
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
▶63.9%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 130 to 88 computations (32.3% saved)

localize349.0ms (5.2%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)))
cost-diff0
(*.f64 a x)
✓cost-diff0
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))
✓cost-diff0
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
cost-diff-12864
(expm1.f64 (*.f64 a x))
cost-diff0
(*.f64 a x)
✓cost-diff0
(sqrt.f64 (expm1.f64 (*.f64 a x)))
✓cost-diff12864
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
✓cost-diff-6272
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
✓cost-diff0
(*.f64 x #s(literal 1/6 binary64))
✓cost-diff0
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
✓cost-diff0
(pow.f64 x #s(literal 2 binary64))
✓cost-diff0
(*.f64 (pow.f64 a #s(literal 2 binary64)) x)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
✓cost-diff64
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
✓cost-diff64
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
cost-diff0
(*.f64 a x)
✓accuracy99.7%
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))
✓accuracy99.7%
(cbrt.f64 (expm1.f64 (*.f64 a x)))
✓accuracy98.5%
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))
✓accuracy94.5%
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)))
accuracy100.0%
(*.f64 a x)
accuracy100.0%
(expm1.f64 (*.f64 a x))
✓accuracy99.9%
(sqrt.f64 (expm1.f64 (*.f64 a x)))
✓accuracy99.8%
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
✓accuracy99.9%
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
✓accuracy99.9%
(*.f64 x #s(literal 1/6 binary64))
✓accuracy97.8%
(fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x)
✓accuracy100.0%
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
✓accuracy100.0%
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
✓accuracy95.1%
(*.f64 (pow.f64 a #s(literal 2 binary64)) x)
accuracy100.0%
(*.f64 a x)
Rules
991×fma-define
400×associate-*r*
262×associate-*l*
71×distribute-lft-in
67×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034686
168648
2168648
3425648
4792648
51259648
61548648
71833648
81856648
91857648
101857648
112115648
122217648
132221648
142221648
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 a x)
a
x
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
x
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
a
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 a #s(literal 2 binary64)) x)
(pow.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
a
(fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 2 binary64)
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1/6 binary64)
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
#s(literal 5 binary64)
Outputs
(*.f64 a x)
a
x
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
x
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
a
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 a #s(literal 2 binary64)) x)
(*.f64 x (pow.f64 a #s(literal 2 binary64)))
(pow.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 a (fma.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
a
(fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x)
(fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
(fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)
(fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(*.f64 x (*.f64 a #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(expm1.f64 (*.f64 a x))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(*.f64 a x)
a
x
#s(literal 2 binary64)
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(*.f64 a x)
a
x
#s(literal 1/6 binary64)
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
#s(literal 5 binary64)
Results
61.0ms61×1invalid
49.0ms60×1valid
43.0ms28×5exit
36.0ms102×0invalid
2.0ms5×0valid
Compiler

Compiled 185 to 28 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-pow: 52.0ms (35.2% of total)
ival-mult: 28.0ms (18.9% of total)
<compiled-spec>: 22.0ms (14.9% of total)
backward-pass: 15.0ms (10.1% of total)
ival-exp: 10.0ms (6.8% of total)
ival-sqrt: 7.0ms (4.7% of total)
ival-add: 6.0ms (4.1% of total)
ival-cbrt: 3.0ms (2% of total)
ival-sub: 2.0ms (1.4% of total)
const: 1.0ms (0.7% of total)

series619.0ms (9.2%)

Counts
17 → 318
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) x)>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))>
#<alt (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x)>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (*.f64 a (*.f64 x #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))>
#<alt (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (expm1.f64 (*.f64 a x)))>
#<alt (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)))>
#<alt (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))>
#<alt (cbrt.f64 (expm1.f64 (*.f64 a x)))>
#<alt (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))>
#<alt (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))>
Outputs
#<alt (*.f64 a x)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt a>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt a>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) a))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) a)) (/.f64 x (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) a)) (/.f64 x (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) a))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x a)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) a)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x a)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) a)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) a)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) a)))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 a x))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 a x))>
#<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 1/6 binary64) (*.f64 a x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 a x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 a x))))>
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#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
Calls

96 calls:

TimeVariablePointExpression
282.0ms
a
@inf
(+ (* a (* (pow x 2) (+ (* a (* x 1/6)) 1/2))) x)
49.0ms
a
@inf
(sqrt (pow (cbrt (- (exp (* a x)) 1)) 5))
47.0ms
x
@0
(pow (cbrt (- (exp (* a x)) 1)) 5)
34.0ms
x
@-inf
(sqrt (pow (cbrt (- (exp (* a x)) 1)) 5))
28.0ms
x
@inf
(pow (- (exp (* a x)) 1) 1/6)

rewrite252.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
1144×log1p-expm1-u
258×associate-*r*
217×expm1-log1p-u
209×add-exp-log
209×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034496
1516480
26417480
Stop Event
1×node limit
Counts
17 → 360
Calls
Call 1
Inputs
(*.f64 (pow.f64 a #s(literal 2 binary64)) x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
(fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 a (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 a #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 a x) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))
(+.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 a x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))) (*.f64 (*.f64 a x) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))) (-.f64 (*.f64 a x) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) a))))
(/.f64 (*.f64 x (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (-.f64 a (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 a #s(literal 3 binary64))) x) (fma.f64 a a (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) a))))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/4 binary64))) x) (-.f64 a (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (*.f64 x (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a))) #s(literal 1 binary64)))
(fma.f64 a x (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))
(fma.f64 x a (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 a x) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 a x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 a x)) (sqrt.f64 (*.f64 a x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (*.f64 a (sqrt.f64 x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 a (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 a (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)) (sqrt.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) a)))))
(*.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) a))) (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) a))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 a (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/4 binary64))) (-.f64 a (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 a (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/4 binary64)) (pow.f64 a #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) a))
(pow.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)))
(exp.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) #s(literal 1/2 binary64) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x) a)
(fma.f64 #s(literal 1 binary64) a (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) a)
(fma.f64 (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) a)
(fma.f64 (*.f64 (*.f64 a (sqrt.f64 x)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 a (sqrt.f64 x)) (sqrt.f64 #s(literal 1/2 binary64))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
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(expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 5/2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 5/2 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 10 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))) #s(literal 1/2 binary64)))
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(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 15/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5/4 binary64)) #s(literal 2 binary64))
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(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))))
(cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 15/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/12 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(fabs.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))))
(cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
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(*.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 a x))))
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/12 binary64)) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/12 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2/3 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 10 binary64))))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 5 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 5 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 5 binary64)))
(*.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5/4 binary64))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5/4 binary64)))
(*.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 10 binary64)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
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(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 a (*.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 a x))
(+.f64 (*.f64 (*.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a) (*.f64 a x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))))
(cbrt.f64 (pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
(log1p.f64 (expm1.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
(exp.f64 (log.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 15/2 binary64)) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 15/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))

simplify284.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
680×distribute-rgt-in
679×distribute-lft-in
431×*-commutative
283×+-commutative
182×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013104294998806
135064294997962
Stop Event
1×node limit
Counts
678 → 639
Calls
Call 1
Inputs
(*.f64 a x)
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
a
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) a))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) a)) (/.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) a)) (/.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) a))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x a)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) a)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x a)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) a)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) a)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) a)))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 a x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.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 1/6 binary64) (*.f64 a x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 a x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 a x))))
(*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))))
(*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) a))))
(*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) a))))
(*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) a))))
(*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) a)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) a)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) a)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
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(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 10 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))) (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 10 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5/4 binary64)) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 5 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 5 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 5 binary64)))
(*.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5/4 binary64))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5/4 binary64)))
(*.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 10 binary64)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 a (*.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 a x))
(+.f64 (*.f64 (*.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a) (*.f64 a x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))))
(cbrt.f64 (pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
(log1p.f64 (expm1.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
(exp.f64 (log.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 15/2 binary64)) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 15/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 a x)
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a)))
a
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 a x) (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 a x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
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(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/3 binary64))
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(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2/3 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
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(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64))
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(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))
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(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))
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(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))
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(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))
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(*.f64 x x)
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(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
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(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
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(pow.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/12 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5/4 binary64))) #s(literal 2 binary64))
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(sqrt.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 6 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 15/2 binary64)) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 15/2 binary64))))
(cbrt.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 15/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))

eval131.0ms (2%)

Compiler

Compiled 23822 to 3921 computations (83.5% saved)

prune120.0ms (1.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New9577964
Fresh000
Picked325
Done011
Total96010970
Accuracy
100.0%
Counts
970 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓36.9%
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
▶19.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
▶35.1%
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
35.7%
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5/2 binary64)))
35.2%
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (exp.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))))
▶63.7%
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
▶62.1%
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
▶63.6%
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
✓63.9%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 222 to 144 computations (35.1% saved)

localize429.0ms (6.4%)

Algorithm
1×egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a x)
cost-diff0
(expm1.f64 (*.f64 a x))
cost-diff0
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))
✓cost-diff0
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
✓cost-diff-6272
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
cost-diff0
(*.f64 x #s(literal 1/6 binary64))
cost-diff0
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff-6272
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
✓cost-diff-6272
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
cost-diff0
(*.f64 a x)
✓cost-diff0
(*.f64 (*.f64 a x) #s(literal 1/2 binary64))
✓cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 a x))
cost-diff0
(*.f64 a x)
✓cost-diff256
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
✓cost-diff-6272
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
✓cost-diff-6272
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
cost-diff0
(*.f64 a x)
✓cost-diff0
(*.f64 (*.f64 a x) #s(literal 1/2 binary64))
accuracy100.0%
(expm1.f64 (*.f64 a x))
✓accuracy99.9%
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
✓accuracy95.0%
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))
accuracy92.4%
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))
✓accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
accuracy99.9%
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
accuracy99.8%
(*.f64 x #s(literal 1/6 binary64))
✓accuracy97.8%
(fma.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x)
accuracy100.0%
(*.f64 a x)
✓accuracy100.0%
(*.f64 (*.f64 a x) #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
✓accuracy100.0%
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 a x))
accuracy100.0%
(*.f64 a x)
✓accuracy78.1%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
accuracy100.0%
(*.f64 a x)
✓accuracy100.0%
(*.f64 (*.f64 a x) #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
✓accuracy100.0%
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
Rules
845×sub-neg
454×associate-+l+
436×distribute-lft-neg-in
348×+-commutative
333×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033706
187678
2238678
3645678
41598678
53117678
66446678
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
x
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
a
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 a x) #s(literal 1/2 binary64))
(*.f64 a x)
#s(literal 1/2 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
#s(literal 1 binary64)
(*.f64 a x)
a
x
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
a
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
x
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 a x) #s(literal 1/2 binary64))
(*.f64 a x)
#s(literal 1/2 binary64)
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
a
(fma.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x)
(*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(*.f64 x x)
x
(+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1/6 binary64)
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))
#s(literal 5/6 binary64)
Outputs
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 x (*.f64 a (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
x
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))
a
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 a x) #s(literal 1/2 binary64))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(*.f64 a x)
(*.f64 x a)
#s(literal 1/2 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(*.f64 x a)
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 #s(literal 1 binary64) (*.f64 x a))
(fma.f64 x a #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 a x)
(*.f64 x a)
a
x
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 x (*.f64 a (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
a
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 a x) #s(literal 1/2 binary64))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(*.f64 a x)
(*.f64 x a)
#s(literal 1/2 binary64)
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(*.f64 a (fma.f64 (*.f64 x (*.f64 x a)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 a (fma.f64 x (*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(*.f64 a (fma.f64 x (*.f64 x (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(*.f64 a (fma.f64 x (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
a
(fma.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x)
(fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
(fma.f64 (*.f64 x (*.f64 x a)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 x (*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
(fma.f64 x (*.f64 x (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
(fma.f64 x (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
(*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(*.f64 x x)
x
(+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x a) #s(literal 1/6 binary64))
(*.f64 x (*.f64 a #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))
(pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 x a))
(*.f64 a x)
(*.f64 x a)
a
x
#s(literal 1/6 binary64)
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))
(pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64))
#s(literal 5/6 binary64)
Results
174.0ms87×5exit
52.0ms60×1valid
30.0ms87×0unsamplable
28.0ms17×2valid
2.0ms5×0valid
Compiler

Compiled 198 to 27 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 223.0ms
ival-mult: 55.0ms (24.6% of total)
ival-pow: 50.0ms (22.4% of total)
<compiled-spec>: 42.0ms (18.8% of total)
backward-pass: 30.0ms (13.4% of total)
ival-exp: 20.0ms (9% of total)
ival-sub: 14.0ms (6.3% of total)
ival-add: 10.0ms (4.5% of total)
const: 2.0ms (0.9% of total)

series57.0ms (0.9%)

Counts
13 → 294
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))>
#<alt (*.f64 (*.f64 a x) #s(literal 1/2 binary64))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))>
#<alt (fma.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x)>
#<alt (*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))>
#<alt (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))>
#<alt (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))>
#<alt (*.f64 x x)>
#<alt (*.f64 a (fma.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))>
Outputs
#<alt (*.f64 a x)>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
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#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 x))))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 x))))) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 2 binary64) a)))) (*.f64 x (+.f64 (*.f64 x (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 x))))) (+.f64 (*.f64 #s(literal 1/1296 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/72 binary64) (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 a #s(literal 10 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 7 binary64))) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 a #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 2 binary64) a)))) (*.f64 #s(literal 1/36 binary64) (+.f64 (*.f64 #s(literal -6 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 7 binary64))) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 a #s(literal 7 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 6 binary64))))) (pow.f64 a #s(literal 10 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 6 binary64)))) #s(literal 3 binary64)) (pow.f64 a #s(literal 15 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64))))))))))) (pow.f64 a #s(literal 5 binary64))))))))))) (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 x))))) (+.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 a #s(literal 10 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 7 binary64))) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 a #s(literal 5 binary64)))))))))))))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))>
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (*.f64 a x)>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) a))))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) a)) (/.f64 x (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) a)) (/.f64 x (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) a)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)) a)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)) a)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 a x)>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) x)) (/.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) x)) (/.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64))))))>
Calls

75 calls:

TimeVariablePointExpression
10.0ms
a
@-inf
(pow (- (exp (* a x)) 1) 5/6)
8.0ms
a
@inf
(pow (- (exp (* a x)) 1) 5/6)
7.0ms
x
@inf
(pow (- (exp (* a x)) 1) 5/6)
7.0ms
x
@-inf
(pow (- (exp (* a x)) 1) 5/6)
2.0ms
x
@0
(pow (- (exp (* a x)) 1) 5/6)

rewrite226.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
849×log1p-expm1-u
262×associate-*r*
223×expm1-log1p-u
218×add-cube-cbrt
216×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033412
1522380
27059380
Stop Event
1×node limit
Counts
13 → 329
Calls
Call 1
Inputs
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 a x) #s(literal 1/2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(fma.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x)
(*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(*.f64 x x)
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
Outputs
(+.f64 (*.f64 x a) (*.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (*.f64 x a) (*.f64 a (*.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(+.f64 (*.f64 x a) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) x))
(+.f64 (*.f64 x a) (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) a))
(+.f64 (*.f64 x a) (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)))
(+.f64 (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (*.f64 x a))
(+.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)) (*.f64 x a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 a (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x a)))))
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(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/12 binary64)) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/12 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 2 binary64))) #s(literal 5/6 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x a))) #s(literal 5/6 binary64)) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x a))) #s(literal 5/6 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64))))
(exp.f64 (*.f64 #s(literal 5/6 binary64) (log.f64 (expm1.f64 (*.f64 x a)))))
(exp.f64 (*.f64 (*.f64 #s(literal 5/6 binary64) (log.f64 (expm1.f64 (*.f64 x a)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x a))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 x a))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (*.f64 x a)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 3 binary64))))
(expm1.f64 (*.f64 x a))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 x a))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 x a))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 x a))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 a (*.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 x a))
(+.f64 (*.f64 (*.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a) (*.f64 x a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a) (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))))
(cbrt.f64 (pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
(log1p.f64 (expm1.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
(exp.f64 (log.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))) #s(literal 1 binary64)))

simplify332.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
911×fma-define
488×distribute-lft-in
487×distribute-rgt-in
356×fmm-def
292×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0101225935
1272224755
2737224747
Stop Event
1×node limit
Counts
623 → 561
Calls
Call 1
Inputs
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
a
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
#s(literal 1 binary64)
(*.f64 a x)
(*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))
(*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))
(*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))
(*.f64 a x)
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a))))
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a))))
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a))))
#s(literal 1 binary64)
(*.f64 a x)
(*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))
(*.f64 a x)
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(expm1.f64 (log1p.f64 (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))
(log1p.f64 (expm1.f64 (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))
(exp.f64 (log.f64 (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) (-.f64 (*.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)))) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) (*.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))))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x a) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x a) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/12 binary64)) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/12 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 2 binary64))) #s(literal 5/6 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x a))) #s(literal 5/6 binary64)) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x a))) #s(literal 5/6 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64))))
(exp.f64 (*.f64 #s(literal 5/6 binary64) (log.f64 (expm1.f64 (*.f64 x a)))))
(exp.f64 (*.f64 (*.f64 #s(literal 5/6 binary64) (log.f64 (expm1.f64 (*.f64 x a)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x a))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 x a))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (*.f64 x a)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 3 binary64))))
(expm1.f64 (*.f64 x a))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 x a))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 x a))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 x a))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 a (*.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 x a))
(+.f64 (*.f64 (*.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a) (*.f64 x a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a) (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))))
(cbrt.f64 (pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
(log1p.f64 (expm1.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
(exp.f64 (log.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))) #s(literal 1 binary64)))
Outputs
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
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(expm1.f64 (*.f64 a x))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)))
(pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) #s(literal 3 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x a))) #s(literal 2 binary64))
(expm1.f64 (*.f64 a x))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(fabs.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 x a))))
(expm1.f64 (*.f64 a x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (*.f64 x a)))))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))))
(expm1.f64 (*.f64 x a))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 x a))))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 x a))))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 x a))) #s(literal 1 binary64)))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 a (*.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 x a))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(+.f64 (*.f64 (*.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a) (*.f64 x a))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
(expm1.f64 (log1p.f64 (*.f64 a (fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))))
(pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(pow.f64 (cbrt.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))) #s(literal 3 binary64))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(pow.f64 (pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(pow.f64 (sqrt.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))) #s(literal 2 binary64))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(sqrt.f64 (pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 a (fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
(log.f64 (pow.f64 (exp.f64 a) (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(cbrt.f64 (pow.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 3 binary64)))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 3 binary64))))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(expm1.f64 (log1p.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
(expm1.f64 (log1p.f64 (*.f64 a (fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))))
(log1p.f64 (expm1.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(exp.f64 (log.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(exp.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))) #s(literal 1 binary64)))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 (*.f64 a (pow.f64 x #s(literal 2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))

eval198.0ms (3%)

Compiler

Compiled 19419 to 3370 computations (82.6% saved)

prune135.0ms (2%)

Pruning

15 alts after pruning (7 fresh and 8 done)

PrunedKeptTotal
New9176923
Fresh112
Picked055
Done033
Total91815933
Accuracy
100.0%
Counts
933 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓36.9%
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
✓19.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
▶17.0%
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
▶18.5%
(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
▶16.2%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶63.6%
(+.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)) (*.f64 x a))
✓35.1%
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
35.7%
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5/2 binary64)))
35.0%
(*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
✓63.7%
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
✓62.1%
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
▶63.6%
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
✓63.6%
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
✓63.9%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 268 to 170 computations (36.6% saved)

localize290.0ms (4.3%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x a)
✓cost-diff0
(*.f64 a #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a))
✓cost-diff-6144
(*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(+.f64 a (/.f64 #s(literal 1 binary64) x))
✓cost-diff384
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
✓cost-diff-6144
(*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) a)
✓cost-diff0
(+.f64 x (/.f64 #s(literal 1 binary64) a))
✓cost-diff384
(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
✓cost-diff128
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓cost-diff-6016
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
cost-diff-128
(*.f64 a x)
cost-diff256
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
✓cost-diff256
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 x a)
✓accuracy100.0%
(*.f64 a #s(literal 1/2 binary64))
✓accuracy99.6%
(*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a))
✓accuracy93.7%
(+.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)) (*.f64 x a))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(+.f64 a (/.f64 #s(literal 1 binary64) x))
✓accuracy99.8%
(*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))
✓accuracy54.4%
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) a)
✓accuracy100.0%
(+.f64 x (/.f64 #s(literal 1 binary64) a))
✓accuracy99.8%
(*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))
✓accuracy54.4%
(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
✓accuracy95.9%
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
accuracy54.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
Rules
859×sub-neg
412×fmm-def
365×distribute-lft-out
357×cancel-sign-sub-inv
314×distribute-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031581
188487
2216421
3526421
41717421
52344421
65482421
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
a
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
x
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(*.f64 a x)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
(*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))
a
(+.f64 x (/.f64 #s(literal 1 binary64) a))
x
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))
x
(+.f64 a (/.f64 #s(literal 1 binary64) x))
a
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)) (*.f64 x a))
(*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a))
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
x
(*.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(*.f64 x a)
Outputs
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))))
(*.f64 a (*.f64 x (fma.f64 (+.f64 (*.f64 a x) #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 a (*.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 a x #s(literal 2 binary64)))))
(*.f64 x (*.f64 (*.f64 a #s(literal 1/2 binary64)) (fma.f64 a x #s(literal 2 binary64))))
a
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 (+.f64 (*.f64 a x) #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 a x #s(literal 2 binary64))))
x
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 (*.f64 a x) #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 a x #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (+.f64 (*.f64 a x) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a x) #s(literal 1 binary64)))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(*.f64 a x)
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(fma.f64 a x #s(literal 1 binary64))
(*.f64 a x)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a x) #s(literal 1 binary64)))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a x) #s(literal 1 binary64)))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(*.f64 a x)
(*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(fma.f64 a x #s(literal 1 binary64))
a
(+.f64 x (/.f64 #s(literal 1 binary64) a))
x
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a x) #s(literal 1 binary64)))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(*.f64 a x)
(*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(fma.f64 a x #s(literal 1 binary64))
x
(+.f64 a (/.f64 #s(literal 1 binary64) x))
a
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)) (*.f64 x a))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))))
(*.f64 a (*.f64 x (fma.f64 (+.f64 (*.f64 a x) #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 a (*.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 a x #s(literal 2 binary64)))))
(*.f64 x (*.f64 (*.f64 a #s(literal 1/2 binary64)) (fma.f64 a x #s(literal 2 binary64))))
(*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a))
(*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 a x))
(*.f64 a (*.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 a a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 a a))))
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (+.f64 (*.f64 a x) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
x
(*.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(*.f64 x a)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a x) #s(literal 1 binary64)))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(*.f64 a x)
Results
53.0ms68×2valid
48.0ms90×1valid
43.0ms98×0valid
Compiler

Compiled 164 to 26 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-mult: 33.0ms (43.6% of total)
ival-add: 12.0ms (15.8% of total)
backward-pass: 11.0ms (14.5% of total)
ival-div: 10.0ms (13.2% of total)
ival-sub: 9.0ms (11.9% of total)
const: 1.0ms (1.3% of total)

series23.0ms (0.3%)

Counts
17 → 300
Calls
Call 1
Inputs
#<alt (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))>
#<alt (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))>
#<alt (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))>
#<alt (+.f64 x (/.f64 #s(literal 1 binary64) a))>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))>
#<alt (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 a (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)) (*.f64 x a))>
#<alt (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a))>
#<alt (*.f64 a #s(literal 1/2 binary64))>
#<alt (*.f64 x a)>
#<alt (*.f64 x (*.f64 a #s(literal 1/2 binary64)))>
Outputs
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 a x)>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x a)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x a)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x a)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (*.f64 a x)>
#<alt (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 a x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) a)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) a)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) a)>
#<alt x>
#<alt x>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 a x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt a>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))>
#<alt a>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) x)>
#<alt a>
#<alt a>
#<alt (*.f64 a x)>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) a)>
#<alt (*.f64 #s(literal 1/2 binary64) a)>
#<alt (*.f64 #s(literal 1/2 binary64) a)>
#<alt (*.f64 #s(literal 1/2 binary64) a)>
#<alt (*.f64 #s(literal 1/2 binary64) a)>
#<alt (*.f64 #s(literal 1/2 binary64) a)>
#<alt (*.f64 #s(literal 1/2 binary64) a)>
#<alt (*.f64 #s(literal 1/2 binary64) a)>
#<alt (*.f64 #s(literal 1/2 binary64) a)>
#<alt (*.f64 #s(literal 1/2 binary64) a)>
#<alt (*.f64 #s(literal 1/2 binary64) a)>
#<alt (*.f64 #s(literal 1/2 binary64) a)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
Calls

87 calls:

TimeVariablePointExpression
3.0ms
a
@0
(* x (+ 1 (* (- (+ 1 (* a x)) 1) 1/2)))
1.0ms
a
@-inf
(- (* a (+ x (/ 1 a))) 1)
1.0ms
x
@-inf
(- (* x (+ a (/ 1 x))) 1)
1.0ms
a
@0
(- (* x (+ a (/ 1 x))) 1)
1.0ms
x
@0
(- (* a (+ x (/ 1 a))) 1)

rewrite140.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
261×log1p-expm1-u
261×expm1-log1p-u
260×associate-*r*
252×add-cube-cbrt
250×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031470
1577309
Stop Event
1×node limit
Counts
17 → 514
Calls
Call 1
Inputs
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
(*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))
(+.f64 x (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))
(+.f64 a (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)) (*.f64 x a))
(*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a))
(*.f64 a #s(literal 1/2 binary64))
(*.f64 x a)
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
Outputs
(+.f64 (*.f64 a x) (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 a x))
(+.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 a x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 a x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 a x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 a x) (-.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (*.f64 a x) (-.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 a x) (-.f64 (*.f64 a x) (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a x) (-.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 a x) (-.f64 (*.f64 a x) (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 (*.f64 a x) (-.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 a x) (-.f64 (*.f64 a x) (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 a x) (-.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))))
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(pow.f64 (*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 a x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) (fma.f64 a x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))
(pow.f64 (*.f64 a x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (*.f64 a x)) #s(literal 1 binary64)))
(fma.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
(fma.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 x (/.f64 #s(literal 1 binary64) a)) a #s(literal -1 binary64))
(fma.f64 (+.f64 a (/.f64 #s(literal 1 binary64) x)) x #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 a x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 a x #s(literal -1 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1/2 binary64))
(+.f64 (*.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(-.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

simplify535.0ms (8%)

Algorithm
1×egg-herbie
Rules
766×fmm-def
427×associate-*r*
390×associate-*l*
348×exp-prod
336×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074024212
1162922720
2565922712
Stop Event
1×node limit
Counts
814 → 459
Calls
Call 1
Inputs
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))
(*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x a)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x a)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x a)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(*.f64 a x)
(*.f64 a x)
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a))))
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a))))
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(*.f64 a x)
(*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))
(*.f64 a x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) a)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(/.f64 #s(literal 1 binary64) a)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) a)
x
x
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(*.f64 a x)
(*.f64 a x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(*.f64 a x)
(*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))
(*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))
(*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))
(*.f64 a x)
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a))))
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a))))
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a))))
(/.f64 #s(literal 1 binary64) x)
a
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) x)
a
a
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
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(exp.f64 (log1p.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 a x)) #s(literal 1 binary64)))
(fma.f64 a x #s(literal 1 binary64))
(fma.f64 x a #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a x)) #s(literal 1 binary64))
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(*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) a)
(*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a))
(*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 a)) (sqrt.f64 a))
(*.f64 (*.f64 (*.f64 a x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 a x) (sqrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 a x)))
(*.f64 (*.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 a x))) (sqrt.f64 (*.f64 a x)))
(*.f64 (*.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) a) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 a x) (-.f64 (*.f64 a x) (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a x) (-.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 a x) (-.f64 (*.f64 a x) (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 (*.f64 a x) (-.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 a x) (-.f64 (*.f64 a x) (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 a x) (-.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 a x) (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(fma.f64 a x (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x a (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (*.f64 a x))
(fma.f64 #s(literal 1 binary64) (*.f64 a x) (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 a x))
(fma.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (*.f64 a x) (*.f64 a x))
(fma.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (*.f64 a x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a x)) (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 a x))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 a x))
(fma.f64 (sqrt.f64 (*.f64 a x)) (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) a (*.f64 a x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 a) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 a #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 a #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 a x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 a x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) (fma.f64 a x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))
(pow.f64 (*.f64 a x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (*.f64 a x)) #s(literal 1 binary64)))
(fma.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
(fma.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 x (/.f64 #s(literal 1 binary64) a)) a #s(literal -1 binary64))
(fma.f64 (+.f64 a (/.f64 #s(literal 1 binary64) x)) x #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 a x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 a x #s(literal -1 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1/2 binary64))
(+.f64 (*.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(-.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
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(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
(*.f64 a x)
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(exp.f64 (log.f64 (*.f64 a x)))
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(exp.f64 (*.f64 (log.f64 (*.f64 a x)) #s(literal 1 binary64)))
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(fma.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
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(fma.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
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(fma.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)) #s(literal -1 binary64))
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(fma.f64 (+.f64 x (/.f64 #s(literal 1 binary64) a)) a #s(literal -1 binary64))
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(fma.f64 (+.f64 a (/.f64 #s(literal 1 binary64) x)) x #s(literal -1 binary64))
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 a x)
(fma.f64 (sqrt.f64 (fma.f64 a x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 a x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 a x #s(literal -1 binary64))))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
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(pow.f64 (sqrt.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
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(sqrt.f64 (pow.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 1/2 binary64)))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))

eval73.0ms (1.1%)

Compiler

Compiled 8849 to 2028 computations (77.1% saved)

prune83.0ms (1.2%)

Pruning

17 alts after pruning (5 fresh and 12 done)

PrunedKeptTotal
New5483551
Fresh022
Picked145
Done088
Total54917566
Accuracy
100.0%
Counts
566 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓36.9%
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
✓19.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
14.0%
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
✓17.0%
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
15.6%
(-.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
✓18.5%
(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
✓63.6%
(+.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)) (*.f64 x a))
✓35.1%
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
35.7%
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5/2 binary64)))
35.0%
(*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
✓63.7%
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
✓62.1%
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
✓63.6%
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
✓63.6%
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
✓63.9%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
16.2%
#s(literal 0 binary64)
Compiler

Compiled 422 to 201 computations (52.4% saved)

regimes41.0ms (0.6%)

Counts
23 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)) (*.f64 x a))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (exp.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
Outputs
(expm1.f64 (*.f64 a x))
Calls

5 calls:

13.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
7.0ms
(*.f64 a x)
7.0ms
x
7.0ms
a
5.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
100.0%1a
100.0%1x
100.0%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
100.0%1(exp.f64 (*.f64 a x))
100.0%1(*.f64 a x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes112.0ms (1.7%)

Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)) (*.f64 x a))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
Outputs
(*.f64 a x)
Calls

3 calls:

103.0ms
a
4.0ms
x
4.0ms
(*.f64 a x)
Results
AccuracySegmentsBranch
63.9%1a
63.9%1x
63.9%1(*.f64 a x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

2 calls:

1.0ms
x
1.0ms
a
Results
AccuracySegmentsBranch
16.2%1a
16.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
11231
Stop Event
1×saturated
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
#s(literal 0 binary64)
Outputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
#s(literal 0 binary64)

soundness227.0ms (3.4%)

Rules
319×log1p-expm1-u
318×expm1-log1p-u
311×unpow-prod-down
305×add-exp-log
293×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
18230
289430
025143
158143
288143
3126143
4169143
5203143
6248143
7298143
8315143
9331143
10335143
031470
1577309
Stop Event
1×fuel
1×node limit
1×saturated
1×node limit
Compiler

Compiled 61 to 30 computations (50.8% saved)

preprocess34.0ms (0.5%)

Remove

(sort a x)

Compiler

Compiled 84 to 54 computations (35.7% saved)

end0.0ms (0%)

Profiling

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