Logistic regression 2

Time bar (total: 10.7s)

analyze215.0ms (2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 12 to 9 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-exp: 116.0ms (68.2% of total)
ival-add: 30.0ms (17.6% of total)
ival-log: 10.0ms (5.9% of total)
ival-mult: 7.0ms (4.1% of total)
ival-sub: 5.0ms (2.9% of total)
const: 1.0ms (0.6% of total)
backward-pass: 0.0ms (0% of total)

sample3.8s (35.9%)

Results
622.0ms7710×0valid
2.0s2666×5exit
396.0ms546×1valid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-log: 969.0ms (44% of total)
backward-pass: 427.0ms (19.4% of total)
ival-exp: 369.0ms (16.7% of total)
ival-mult: 179.0ms (8.1% of total)
ival-add: 139.0ms (6.3% of total)
ival-sub: 98.0ms (4.4% of total)
const: 23.0ms (1% of total)
Bogosity

preprocess258.0ms (2.4%)

Algorithm
egg-herbie
Rules
188×fma-define
147×fma-neg
44×cancel-sign-sub-inv
36×sub-neg
34×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030234
173226
2129210
3282210
4434210
5622210
6763210
7877210
8905210
9907210
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x (neg.f64 y)))
(neg.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x (neg.f64 y))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 y))) (*.f64 y x))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(neg.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y)))
(neg.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x (neg.f64 y))))
(neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 y)))

explain272.0ms (2.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
31(-4.715606110857285 2.020545272031421e-131)0-(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
00-0-x
00-0-(*.f64 x y)
00-0-(exp.f64 x)
00-0-#s(literal 1 binary64)
00-0-y
00-0-(+.f64 #s(literal 1 binary64) (exp.f64 x))
00-0-(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
63.0ms338×0valid
108.0ms156×2valid
5.0ms18×1valid
Compiler

Compiled 69 to 26 computations (62.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-log: 36.0ms (48.6% of total)
backward-pass: 13.0ms (17.6% of total)
ival-exp: 7.0ms (9.5% of total)
ival-mult: 7.0ms (9.5% of total)
ival-add: 5.0ms (6.8% of total)
ival-sub: 4.0ms (5.4% of total)
const: 1.0ms (1.4% of total)

eval0.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize53.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(exp.f64 x)
cost-diff0
(log1p.f64 (exp.f64 x))
cost-diff0
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
accuracy99.2%
(log1p.f64 (exp.f64 x))
Rules
102×fma-define
56×fma-neg
21×cancel-sign-sub-inv
18×sub-neg
15×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01271
12171
23871
35671
47571
510971
616371
721371
828171
935671
1041071
1142571
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
Results
25.0ms256×0valid
Compiler

Compiled 20 to 7 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log1p: 3.0ms (34.1% of total)
ival-exp: 2.0ms (22.7% of total)
ival-mult: 2.0ms (22.7% of total)
ival-sub: 1.0ms (11.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series156.0ms (1.5%)

Counts
4 → 40
Calls
Call 1
Inputs
#<alt (log1p.f64 (exp.f64 x))>
#<alt (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))>
#<alt (exp.f64 x)>
#<alt (*.f64 x y)>
Outputs
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>
Calls

18 calls:

TimeVariablePointExpression
102.0ms
x
@inf
(log (+ 1 (exp x)))
22.0ms
x
@-inf
(log (+ 1 (exp x)))
21.0ms
x
@0
(* x y)
4.0ms
y
@0
(- (log (+ 1 (exp x))) (* x y))
1.0ms
x
@inf
(* x y)

rewrite255.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
659×prod-diff
638×log1p-expm1-u
638×expm1-log1p-u
591×unpow-prod-down
337×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01263
113663
2176763
Stop Event
node limit
Counts
4 → 272
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 x)
(*.f64 x y)
Outputs
(+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))
(log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
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(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/3 binary64) x)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (cbrt.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (sqrt.f64 (exp.f64 x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (exp.f64 x) (sqrt.f64 (exp.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (sqrt.f64 (exp.f64 x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (log1p.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))

simplify205.0ms (1.9%)

Algorithm
egg-herbie
Rules
762×fma-neg
371×unswap-sqr
308×distribute-lft-neg-in
288×distribute-rgt-neg-in
286×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069410249
1144210049
239209968
Stop Event
node limit
Counts
312 → 350
Calls
Call 1
Inputs
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))
(log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
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(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/3 binary64) x)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (cbrt.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (sqrt.f64 (exp.f64 x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (exp.f64 x) (sqrt.f64 (exp.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (sqrt.f64 (exp.f64 x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (log1p.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
Outputs
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))) y))))
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(log1p.f64 (exp.f64 x))
(*.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
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(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 x y)

eval44.0ms (0.4%)

Compiler

Compiled 6419 to 1088 computations (83.1% saved)

prune54.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3428350
Fresh000
Picked011
Done000
Total3429351
Accuracy
99.4%
Counts
351 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))
99.2%
(-.f64 (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))) (*.f64 x y))
98.8%
(-.f64 (log1p.f64 (log.f64 (exp.f64 (exp.f64 x)))) (*.f64 x y))
99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
90.6%
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
76.9%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
85.2%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
50.0%
(*.f64 (neg.f64 x) y)
99.2%
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
Compiler

Compiled 181 to 134 computations (26% saved)

localize654.0ms (6.1%)

Algorithm
egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (exp.f64 x))
cost-diff12800
(log.f64 (exp.f64 (exp.f64 x)))
cost-diff12800
(log1p.f64 (log.f64 (exp.f64 (exp.f64 x))))
cost-diff12800
(-.f64 (log1p.f64 (log.f64 (exp.f64 (exp.f64 x)))) (*.f64 x y))
cost-diff0
(log1p.f64 (exp.f64 x))
cost-diff0
(/.f64 (log1p.f64 (exp.f64 x)) x)
cost-diff0
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
cost-diff128
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
cost-diff-6272
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
cost-diff0
(-.f64 #s(literal 1/2 binary64) y)
cost-diff0
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) y)
cost-diff0
(cbrt.f64 (exp.f64 x))
cost-diff12864
(pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))
cost-diff12864
(log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64)))
cost-diff12864
(-.f64 (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))) (*.f64 x y))
accuracy100.0%
(-.f64 (log1p.f64 (log.f64 (exp.f64 (exp.f64 x)))) (*.f64 x y))
accuracy100.0%
(log1p.f64 (log.f64 (exp.f64 (exp.f64 x))))
accuracy100.0%
(exp.f64 (exp.f64 x))
accuracy99.9%
(log.f64 (exp.f64 (exp.f64 x)))
accuracy100.0%
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
accuracy100.0%
(log1p.f64 (exp.f64 x))
accuracy99.9%
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
accuracy99.8%
(/.f64 (log1p.f64 (exp.f64 x)) x)
accuracy100.0%
(-.f64 #s(literal 1/2 binary64) y)
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy100.0%
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
accuracy100.0%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
accuracy100.0%
(*.f64 (neg.f64 x) y)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(-.f64 (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))) (*.f64 x y))
accuracy100.0%
(log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64)))
accuracy100.0%
(cbrt.f64 (exp.f64 x))
accuracy100.0%
(pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))
Rules
1559×fma-define
821×fma-neg
693×associate-/l/
309×associate-/r*
281×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01592
12892
24592
36592
48492
511892
617292
722292
829892
938192
1043692
1145192
1245592
1347392
1448092
1548492
01033
11733
22733
33933
45033
56733
69033
710733
811333
912533
01473
11869
23269
36269
410669
516569
624769
736769
860469
977369
1096569
11117569
12119569
013118
119118
235118
359118
492115
5136109
6250109
7435109
81304109
93259109
103945109
114339109
124534109
134596109
144660109
155993109
166919109
177613109
187919109
01491
12491
24191
35991
47891
511291
616691
721791
828391
936091
1041491
1142891
Stop Event
saturated
node limit
saturated
saturated
saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (log.f64 (exp.f64 (exp.f64 x)))) (*.f64 x y))
(log1p.f64 (log.f64 (exp.f64 (exp.f64 x))))
(log.f64 (exp.f64 (exp.f64 x)))
(exp.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
Outputs
(-.f64 (log1p.f64 (log.f64 (exp.f64 (exp.f64 x)))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (log.f64 (exp.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(log.f64 (exp.f64 (exp.f64 x)))
(exp.f64 x)
(exp.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
Call 2
Inputs
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
x
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
y
Outputs
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(fma.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64) (*.f64 y (neg.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
x
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
y
Call 3
Inputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
Call 4
Inputs
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
Outputs
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(neg.f64 x)
x
y
Call 5
Inputs
(-.f64 (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))) (*.f64 x y))
(log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))
(cbrt.f64 (exp.f64 x))
(exp.f64 x)
x
#s(literal 3 binary64)
(*.f64 x y)
y
Outputs
(-.f64 (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64)))
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))
(exp.f64 x)
(cbrt.f64 (exp.f64 x))
(exp.f64 x)
x
#s(literal 3 binary64)
(*.f64 x y)
y
Results
138.0ms166×0valid
127.0ms76×2valid
9.0ms11×1valid
20.0ms5exit
Compiler

Compiled 121 to 26 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 171.0ms
ival-mult: 40.0ms (23.4% of total)
ival-log1p: 40.0ms (23.4% of total)
ival-log: 29.0ms (17% of total)
ival-pow: 20.0ms (11.7% of total)
backward-pass: 14.0ms (8.2% of total)
ival-exp: 9.0ms (5.3% of total)
ival-sub: 8.0ms (4.7% of total)
ival-cbrt: 4.0ms (2.3% of total)
ival-div: 3.0ms (1.8% of total)
ival-add: 2.0ms (1.2% of total)
ival-neg: 2.0ms (1.2% of total)
const: 1.0ms (0.6% of total)

series61.0ms (0.6%)

Counts
17 → 245
Calls
Call 1
Inputs
#<alt (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))>
#<alt (cbrt.f64 (exp.f64 x))>
#<alt (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64)))>
#<alt (-.f64 (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))) (*.f64 x y))>
#<alt (neg.f64 x)>
#<alt (*.f64 (neg.f64 x) y)>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (-.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 (log1p.f64 (exp.f64 x)) x)>
#<alt (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))>
#<alt (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)>
#<alt (log.f64 (exp.f64 (exp.f64 x)))>
#<alt (exp.f64 (exp.f64 x))>
#<alt (log1p.f64 (log.f64 (exp.f64 (exp.f64 x))))>
#<alt (-.f64 (log1p.f64 (log.f64 (exp.f64 (exp.f64 x)))) (*.f64 x y))>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>
#<alt (exp.f64 x)>
#<alt (exp.f64 x)>
#<alt (exp.f64 x)>
#<alt (exp.f64 x)>
#<alt (exp.f64 x)>
#<alt (exp.f64 x)>
#<alt (exp.f64 x)>
#<alt (exp.f64 x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/18 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 #s(literal 1/162 binary64) x))))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y))) x)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>
#<alt (exp.f64 x)>
#<alt (exp.f64 x)>
#<alt (exp.f64 x)>
#<alt (exp.f64 x)>
#<alt (exp.f64 x)>
#<alt (exp.f64 x)>
#<alt (exp.f64 x)>
#<alt (exp.f64 x)>
#<alt (exp.f64 #s(literal 1 binary64))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 x (exp.f64 #s(literal 1 binary64))))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 x (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 x (exp.f64 #s(literal 1 binary64))))))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 x (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 x (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 5/6 binary64) (*.f64 x (exp.f64 #s(literal 1 binary64)))))))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))>
Calls

69 calls:

TimeVariablePointExpression
10.0ms
x
@inf
(/ (log (+ 1 (exp x))) x)
7.0ms
x
@-inf
(/ (log (+ 1 (exp x))) x)
3.0ms
x
@0
(+ (log 2) (* x (- 1/2 y)))
2.0ms
x
@inf
(cbrt (exp x))
2.0ms
x
@-inf
(cbrt (exp x))

rewrite219.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1193×log1p-expm1-u
322×expm1-log1p-u
182×add-cube-cbrt
179×add-exp-log
179×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031302
1478290
25806290
Stop Event
node limit
Counts
17 → 455
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))
(cbrt.f64 (exp.f64 x))
(log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64)))
(-.f64 (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))) (*.f64 x y))
(neg.f64 x)
(*.f64 (neg.f64 x) y)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(log.f64 #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) y)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(log.f64 (exp.f64 (exp.f64 x)))
(exp.f64 (exp.f64 x))
(log1p.f64 (log.f64 (exp.f64 (exp.f64 x))))
(-.f64 (log1p.f64 (log.f64 (exp.f64 (exp.f64 x)))) (*.f64 x y))
Outputs
(+.f64 #s(literal 0 binary64) (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))))
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(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))) #s(literal 1 binary64)))
(+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y))
(+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) (/.f64 (log1p.f64 (exp.f64 x)) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) (sqrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y)))
(pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(exp.f64 (log.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 1 binary64)))
(fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (neg.f64 y))
(fma.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (neg.f64 y))
(+.f64 #s(literal 0 binary64) (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))))
(-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (exp.f64 x) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (cbrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (exp.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/6 binary64))) (pow.f64 (exp.f64 x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 x)))
(exp.f64 x)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (exp.f64 x)))) #s(literal 1 binary64))
(*.f64 (exp.f64 (exp.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (exp.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (exp.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (exp.f64 (exp.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (exp.f64 x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (exp.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (exp.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))
(log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(+.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) (fma.f64 x y (*.f64 x y)))
(+.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) (fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(*.f64 (pow.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) (pow.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (pow.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) (neg.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(pow.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x y))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x y))

simplify447.0ms (4.2%)

Algorithm
egg-herbie
Rules
552×fma-define
349×times-frac
270×distribute-lft-in
264×distribute-rgt-in
255×exp-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085620083
1182818914
2661818914
Stop Event
node limit
Counts
700 → 570
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
#s(literal 1 binary64)
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(log.f64 #s(literal 2 binary64))
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(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 #s(literal 2 binary64))
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(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
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(*.f64 #s(literal 1/2 binary64) x)
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#s(literal 1/2 binary64)
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))
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(*.f64 #s(literal -1 binary64) y)
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(*.f64 #s(literal -1 binary64) y)
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(/.f64 (log.f64 #s(literal 2 binary64)) x)
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(log.f64 #s(literal 2 binary64))
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#s(literal 1 binary64)
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(exp.f64 x)
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(exp.f64 x)
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(log.f64 #s(literal 2 binary64))
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(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
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(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) (neg.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(pow.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x y))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x y))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/18 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/18 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/18 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 #s(literal 1/162 binary64) x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 x #s(literal 1/162 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/162 binary64) #s(literal 1/18 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(*.f64 x (neg.f64 (-.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(*.f64 x (neg.f64 (-.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(*.f64 x (neg.f64 (-.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 (neg.f64 y) (+.f64 x (/.f64 (neg.f64 (log1p.f64 (exp.f64 x))) y)))
(*.f64 (-.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 (neg.f64 y) (+.f64 x (/.f64 (neg.f64 (log1p.f64 (exp.f64 x))) y)))
(*.f64 (-.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 (neg.f64 y) (+.f64 x (/.f64 (neg.f64 (log1p.f64 (exp.f64 x))) y)))
(*.f64 (-.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(log.f64 #s(literal 2 binary64))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(*.f64 x (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(*.f64 x (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(*.f64 x (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(*.f64 (neg.f64 x) (-.f64 (+.f64 y #s(literal -1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(*.f64 (neg.f64 x) (-.f64 (+.f64 y #s(literal -1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(*.f64 (neg.f64 x) (-.f64 (+.f64 y #s(literal -1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(*.f64 y (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y))))
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(cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (log.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))

eval78.0ms (0.7%)

Compiler

Compiled 8894 to 2033 computations (77.1% saved)

prune225.0ms (2.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New6268634
Fresh123
Picked415
Done011
Total63112643
Accuracy
99.4%
Counts
643 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(-.f64 (log1p.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (*.f64 x y))
99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
90.6%
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
57.8%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))))
76.9%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
50.3%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
67.2%
(+.f64 (log.f64 #s(literal 2 binary64)) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
50.0%
(*.f64 (neg.f64 x) y)
90.6%
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
99.1%
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x))) y))
37.1%
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
2.3%
(*.f64 x y)
Compiler

Compiled 221 to 166 computations (24.9% saved)

localize752.0ms (7%)

Algorithm
egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x)))
cost-diff128
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x))) y)
cost-diff256
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x))) y))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(/.f64 (log.f64 #s(literal 2 binary64)) x)
cost-diff0
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
cost-diff128
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
cost-diff-6272
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 x #s(literal 1/3 binary64))
cost-diff6592
(pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))
cost-diff6592
(log1p.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))
cost-diff6592
(-.f64 (log1p.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (*.f64 x y))
accuracy100.0%
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x))) y)
accuracy99.9%
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x))) y))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x)))
accuracy99.2%
(log1p.f64 (exp.f64 x))
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy100.0%
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
accuracy99.8%
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
accuracy99.7%
(/.f64 (log.f64 #s(literal 2 binary64)) x)
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy100.0%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(exp.f64 (*.f64 x #s(literal 1/3 binary64)))
accuracy100.0%
(pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))
accuracy99.5%
(*.f64 x #s(literal 1/3 binary64))
accuracy99.2%
(log1p.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))
Rules
1557×fma-define
821×fma-neg
820×fma-neg
712×fma-neg
692×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016133
131125
25795
39995
413995
519495
651195
7336095
8759795
0821
1921
01141
11337
21637
01383
11683
22783
35183
48480
512774
624574
742774
8128974
9322674
10391374
11430674
12450174
13456374
14462774
15595974
16691774
17762774
18788574
015147
130129
246129
386120
4167120
5311120
6938120
72952120
84422120
96041120
106740120
117398120
Stop Event
node limit
node limit
saturated
saturated
node limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x))) y))
x
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x))) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
y
Outputs
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x))) y))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x)) (neg.f64 y)))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
x
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x))) y)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x)) (neg.f64 y))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x)))
(/.f64 (log1p.f64 (exp.f64 x)) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
y
Call 2
Inputs
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
x
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
y
Outputs
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x y))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
x
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
y
Call 3
Inputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
Call 4
Inputs
(*.f64 x y)
x
y
Outputs
(*.f64 x y)
x
y
Call 5
Inputs
(-.f64 (log1p.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (*.f64 x y))
(log1p.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))
(exp.f64 (*.f64 x #s(literal 1/3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(literal 3 binary64)
(*.f64 x y)
y
Outputs
(-.f64 (log1p.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (*.f64 x y))
(-.f64 (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64)))
(log1p.f64 (exp.f64 x))
(pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))
(exp.f64 x)
(exp.f64 (*.f64 x #s(literal 1/3 binary64)))
(cbrt.f64 (exp.f64 x))
(*.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(literal 3 binary64)
(*.f64 x y)
y
Results
191.0ms256×0valid
Compiler

Compiled 121 to 26 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 11.0ms (27.6% of total)
ival-log1p: 6.0ms (15.1% of total)
ival-pow: 6.0ms (15.1% of total)
ival-div: 4.0ms (10% of total)
ival-exp: 4.0ms (10% of total)
ival-sub: 4.0ms (10% of total)
ival-log: 3.0ms (7.5% of total)
ival-add: 1.0ms (2.5% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

series148.0ms (1.4%)

Counts
14 → 198
Calls
Call 1
Inputs
#<alt (log1p.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))>
#<alt (*.f64 x #s(literal 1/3 binary64))>
#<alt (pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))>
#<alt (exp.f64 (*.f64 x #s(literal 1/3 binary64)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))>
#<alt (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x)))>
#<alt (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x))) y))>
#<alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x))) y)>
#<alt (-.f64 (log1p.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (*.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) x)>
Outputs
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>
#<alt (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/18 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 #s(literal 1/162 binary64) x))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/3 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal 1/3 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal 1/3 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal 1/3 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal 1/3 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal 1/3 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal 1/3 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal 1/3 binary64) x))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
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#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)>
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#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y))) x)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) x) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) y) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) y)) (*.f64 #s(literal -1 binary64) x))))>
Calls

57 calls:

TimeVariablePointExpression
58.0ms
x
@inf
(/ (log 2) x)
36.0ms
x
@inf
(log (+ 1 (pow (exp (* x 1/3)) 3)))
19.0ms
x
@-inf
(log (+ 1 (pow (exp (* x 1/3)) 3)))
10.0ms
x
@0
(/ (log 2) x)
4.0ms
y
@0
(- (log (+ 1 (pow (exp (* x 1/3)) 3))) (* x y))

rewrite224.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
995×log1p-expm1-u
213×expm1-log1p-u
201×add-exp-log
199×add-log-exp
199×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031309
1470267
26515267
Stop Event
node limit
Counts
14 → 365
Calls
Call 1
Inputs
(log1p.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))
(exp.f64 (*.f64 x #s(literal 1/3 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x)))
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x))) y))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x))) y)
(-.f64 (log1p.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (*.f64 x y))
(/.f64 #s(literal 1 binary64) x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 1/6 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal 1/6 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (cbrt.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/3 binary64))))
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(*.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))

simplify315.0ms (3%)

Algorithm
egg-herbie
Rules
368×fma-define
365×associate-*r*
355×associate-*l*
304×exp-prod
250×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
086517456
1191415942
2634815870
Stop Event
node limit
Counts
563 → 546
Calls
Call 1
Inputs
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/18 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 #s(literal 1/162 binary64) x))))))
(exp.f64 (*.f64 #s(literal 1/3 binary64) x))
(exp.f64 (*.f64 #s(literal 1/3 binary64) x))
(exp.f64 (*.f64 #s(literal 1/3 binary64) x))
(exp.f64 (*.f64 #s(literal 1/3 binary64) x))
(exp.f64 (*.f64 #s(literal 1/3 binary64) x))
(exp.f64 (*.f64 #s(literal 1/3 binary64) x))
(exp.f64 (*.f64 #s(literal 1/3 binary64) x))
(exp.f64 (*.f64 #s(literal 1/3 binary64) x))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
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(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log1p.f64 (exp.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 (log1p.f64 (exp.f64 x)) x)) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) x) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))
(pow.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))) #s(literal 1 binary64)))
(+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y))
(+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) (/.f64 (log1p.f64 (exp.f64 x)) x))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) (sqrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y)))
(pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(exp.f64 (log.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 1 binary64)))
(fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x)) (neg.f64 y))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (neg.f64 y))
(fma.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (neg.f64 y))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(*.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
Outputs
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
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(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) #s(literal 3 binary64))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) #s(literal 2 binary64))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 2 binary64)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 3 binary64)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(fabs.f64 (/.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) x)
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) x)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (neg.f64 (log.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)

eval88.0ms (0.8%)

Compiler

Compiled 9821 to 2176 computations (77.8% saved)

prune114.0ms (1.1%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New6795684
Fresh145
Picked145
Done022
Total68115696
Accuracy
99.4%
Counts
696 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(-.f64 (log1p.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (*.f64 x y))
99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
90.6%
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
57.8%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))))
76.9%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
50.3%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
49.2%
(+.f64 (log.f64 #s(literal 2 binary64)) (expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
50.0%
(*.f64 (neg.f64 x) y)
90.6%
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
85.1%
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y))
90.5%
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
37.1%
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
2.3%
(*.f64 x y)
3.6%
(*.f64 #s(literal 1/2 binary64) x)
50.8%
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
Compiler

Compiled 235 to 181 computations (23% saved)

localize591.0ms (5.5%)

Algorithm
egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff6528
(+.f64 (log.f64 #s(literal 2 binary64)) (expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
cost-diff12800
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
cost-diff256
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y)
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)))
cost-diff128
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y)
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff-6336
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
cost-diff0
(*.f64 x y)
cost-diff0
(log1p.f64 #s(literal 1 binary64))
accuracy100.0%
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy100.0%
(+.f64 (log.f64 #s(literal 2 binary64)) (expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
accuracy100.0%
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy100.0%
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y)
accuracy100.0%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
accuracy99.9%
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy100.0%
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y)
accuracy99.9%
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(log1p.f64 #s(literal 1 binary64))
accuracy100.0%
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
Rules
2015×fma-neg
1115×fma-define
990×fma-define
820×fma-neg
735×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01250
12650
23750
35550
47450
510850
616250
721050
827450
934750
1039350
1139950
0715
1815
015112
12894
24394
38385
416485
530585
692485
7295185
8441285
9597185
10659085
11714185
12771885
018188
139154
289139
3228130
4447126
51101126
63816126
76131126
01389
12089
23483
36165
411261
527561
686961
7235561
8366961
9562561
10607761
11630361
12632061
13632361
14632361
15770661
16781661
17792961
18792961
19792961
Stop Event
node limit
node limit
node limit
saturated
saturated
Calls
Call 1
Inputs
(+.f64 (log.f64 #s(literal 2 binary64)) (expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(*.f64 x #s(literal 1/2 binary64))
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))
x
#s(literal 1/2 binary64)
Call 2
Inputs
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y))
x
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
y
Outputs
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (neg.f64 y)))
(*.f64 x (-.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) x) y))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
x
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (neg.f64 y))
(-.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) x) y)
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) x)
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
y
Call 3
Inputs
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
x
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
y
Outputs
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
x
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)) (neg.f64 y))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
y
Call 4
Inputs
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
Outputs
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
Call 5
Inputs
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(log1p.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x y)
x
y
Outputs
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(log1p.f64 #s(literal 1 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 1 binary64)
(*.f64 x y)
x
y
Results
49.0ms167×0valid
22.0ms89×0invalid
Compiler

Compiled 135 to 23 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 12.0ms (36.4% of total)
ival-log1p: 6.0ms (18.2% of total)
ival-sub: 4.0ms (12.1% of total)
ival-log: 4.0ms (12.1% of total)
ival-div: 2.0ms (6.1% of total)
ival-add: 2.0ms (6.1% of total)
ival-expm1: 2.0ms (6.1% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

series30.0ms (0.3%)

Counts
13 → 189
Calls
Call 1
Inputs
#<alt (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))>
#<alt (log1p.f64 #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))>
#<alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y)>
#<alt (expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))>
#<alt (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))>
Outputs
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)>
#<alt (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)>
#<alt (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)>
#<alt (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)>
#<alt (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) y)))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) x)>
#<alt (-.f64 #s(literal 1/2 binary64) y)>
#<alt (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)>
#<alt (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)>
#<alt (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)>
#<alt (-.f64 #s(literal 1/2 binary64) y)>
#<alt (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)>
#<alt (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)>
#<alt (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/8 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/64 binary64) x))) #s(literal 1/8 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x))))>
Calls

51 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* x (- (* (/ 1 x) (+ (log 2) (* 1/2 x))) y))
0.0ms
x
@inf
(log (+ 1 (* x 1/2)))
0.0ms
y
@inf
(* x (- (* (/ 1 x) (+ (log 2) (* 1/2 x))) y))
0.0ms
x
@-inf
(log (+ 1 (* x 1/2)))
0.0ms
x
@-inf
(* (/ 1 x) (+ (log 2) (* 1/2 x)))

rewrite223.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1244×log1p-expm1-u
322×expm1-log1p-u
170×add-cube-cbrt
169×associate-*r*
168×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028285
1437265
25598265
Stop Event
node limit
Counts
13 → 377
Calls
Call 1
Inputs
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(log1p.f64 #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)))
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y)
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))
Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))
(*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64))))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y))))
(pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x (log.f64 #s(literal 2 binary64))))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) x) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(pow.f64 (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))) #s(literal 1 binary64)))
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (neg.f64 y))
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 2 binary64)))
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(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

simplify265.0ms (2.5%)

Algorithm
egg-herbie
Rules
429×fma-define
382×associate-*r*
371×associate-*l*
265×exp-prod
254×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
078919076
1186717964
2670617927
Stop Event
node limit
Counts
566 → 476
Calls
Call 1
Inputs
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(*.f64 #s(literal -1 binary64) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(*.f64 #s(literal -1 binary64) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) x)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
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(fma.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) x)) (sqrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) x)) (neg.f64 y))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
Outputs
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (fma.f64 x #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (fma.f64 x #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (fma.f64 x #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(log1p.f64 (*.f64 x #s(literal 1/2 binary64)))

eval76.0ms (0.7%)

Compiler

Compiled 10088 to 2065 computations (79.5% saved)

prune129.0ms (1.2%)

Pruning

24 alts after pruning (13 fresh and 11 done)

PrunedKeptTotal
New6189627
Fresh044
Picked055
Done066
Total61824642
Accuracy
99.4%
Counts
642 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.3%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
3.3%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
99.2%
(-.f64 (log1p.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (*.f64 x y))
99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
90.6%
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
57.8%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))))
76.9%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
50.3%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
1.1%
(+.f64 (log.f64 #s(literal 2 binary64)) (expm1.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
1.1%
(+.f64 (log.f64 #s(literal 2 binary64)) (expm1.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))))
49.2%
(+.f64 (log.f64 #s(literal 2 binary64)) (expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
50.0%
(*.f64 (neg.f64 x) y)
90.6%
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
36.1%
(*.f64 x (-.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y))
79.2%
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))) y))
85.1%
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y))
90.5%
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
61.8%
(*.f64 x (-.f64 (*.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y))
35.3%
(*.f64 x (-.f64 (*.f64 (log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y))
37.1%
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
2.3%
(*.f64 x y)
3.6%
(*.f64 #s(literal 1/2 binary64) x)
50.8%
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
49.9%
(log.f64 #s(literal 2 binary64))
Compiler

Compiled 646 to 336 computations (48% saved)

regimes29.0ms (0.3%)

Counts
32 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y))
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x))) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (*.f64 x y))
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))
(*.f64 x (-.f64 (*.f64 (log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y))
(*.f64 x (-.f64 (*.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y))
(*.f64 x (-.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y))
(-.f64 (log1p.f64 (log.f64 (exp.f64 (exp.f64 x)))) (*.f64 x y))
(-.f64 (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (expm1.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (expm1.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

10.0ms
y
9.0ms
x
8.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes12.0ms (0.1%)

Counts
16 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) y))
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
Outputs
(*.f64 (neg.f64 x) y)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
Calls

2 calls:

6.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
98.6%2x
90.6%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
Outputs
(*.f64 (neg.f64 x) y)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.5%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
10 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
Outputs
(*.f64 (neg.f64 x) y)
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
Outputs
(*.f64 (neg.f64 x) y)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
72.8%3y
83.9%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(log.f64 #s(literal 2 binary64))
Outputs
(*.f64 (neg.f64 x) y)
(log.f64 #s(literal 2 binary64))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
83.5%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 (neg.f64 x) y)
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
50.0%1y
50.0%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -1.2b remaining (-1.9%)

Threshold costs -1.2b (-1.9%)

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

2 calls:

2.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
3.6%1y
3.6%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch25.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
-5719.895139957354
-8.03519847659407
Results
5.0ms68×0valid
13.0ms60×1valid
Compiler

Compiled 192 to 148 computations (22.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-log: 4.0ms (31% of total)
ival-exp: 3.0ms (23.2% of total)
ival-mult: 2.0ms (15.5% of total)
ival-add: 1.0ms (7.7% of total)
ival-sub: 1.0ms (7.7% of total)
backward-pass: 1.0ms (7.7% of total)
const: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
-4.715606110857285
-2.6159299493065938e-8
Results
10.0ms144×0valid
Compiler

Compiled 178 to 138 computations (22.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 2.0ms (31.6% of total)
ival-log: 2.0ms (31.6% of total)
ival-sub: 1.0ms (15.8% of total)
ival-add: 1.0ms (15.8% of total)
ival-mult: 1.0ms (15.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-5719.895139957354
-8.03519847659407
Results
9.0ms98×0valid
6.0ms30×1valid
Compiler

Compiled 144 to 108 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-log: 5.0ms (45% of total)
ival-exp: 2.0ms (18% of total)
ival-add: 1.0ms (9% of total)
ival-sub: 1.0ms (9% of total)
backward-pass: 1.0ms (9% of total)
ival-mult: 1.0ms (9% of total)
const: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
-8.132687513028838e-20
-2.040777645004677e-20
Results
6.0ms80×0valid
Compiler

Compiled 96 to 77 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 1.0ms (28.6% of total)
ival-log: 1.0ms (28.6% of total)
ival-mult: 1.0ms (28.6% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
-8.132687513028838e-20
-2.040777645004677e-20
Results
6.0ms80×0valid
Compiler

Compiled 76 to 62 computations (18.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 1.0ms (29% of total)
ival-log: 1.0ms (29% of total)
ival-mult: 1.0ms (29% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
11×+-commutative
*-commutative
sub-neg
cancel-sign-sub-inv
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050323
175323
289323
394323
496323
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -92 binary64)) (*.f64 (neg.f64 x) y) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (*.f64 (neg.f64 x) y) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -40 binary64)) (*.f64 (neg.f64 x) y) (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y)))
(if (<=.f64 x #s(literal -5815372481559007/83076749736557242056487941267521536 binary64)) (*.f64 (neg.f64 x) y) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -571152654438831/10384593717069655257060992658440192 binary64)) (*.f64 (neg.f64 x) y) (log.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 x) y)
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -92 binary64)) (*.f64 (neg.f64 x) y) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))))
(if (<=.f64 x #s(literal -92 binary64)) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (*.f64 (neg.f64 x) y) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -40 binary64)) (*.f64 (neg.f64 x) y) (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y)))
(if (<=.f64 x #s(literal -40 binary64)) (*.f64 y (neg.f64 x)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y)))
(if (<=.f64 x #s(literal -5815372481559007/83076749736557242056487941267521536 binary64)) (*.f64 (neg.f64 x) y) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -5815372481559007/83076749736557242056487941267521536 binary64)) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -571152654438831/10384593717069655257060992658440192 binary64)) (*.f64 (neg.f64 x) y) (log.f64 #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -571152654438831/10384593717069655257060992658440192 binary64)) (*.f64 y (neg.f64 x)) (log.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))

soundness468.0ms (4.4%)

Rules
762×fma-neg
552×fma-define
371×unswap-sqr
349×times-frac
308×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030234
173226
2129210
3282210
4434210
5622210
6763210
7877210
8905210
9907210
069410249
1144210049
239209968
085620083
1182818914
2661818914
Stop Event
fuel
node limit
node limit
saturated
Compiler

Compiled 138 to 68 computations (50.7% saved)

preprocess67.0ms (0.6%)

Compiler

Compiled 258 to 132 computations (48.8% saved)

end0.0ms (0%)

Profiling

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