Logistic regression 2

Time bar (total: 8.9s)

analyze138.0ms (1.6%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
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: 39.0ms
ival-log: 10.0ms (25.5% of total)
ival-mult: 9.0ms (23% of total)
ival-exp: 7.0ms (17.9% of total)
ival-sub: 6.0ms (15.3% of total)
ival-add: 6.0ms (15.3% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

sample2.7s (30.2%)

Results
569.0ms7686×0valid
1.4s2742×5exit
128.0ms570×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-log: 616.0ms (41.4% of total)
backward-pass: 315.0ms (21.2% of total)
ival-mult: 170.0ms (11.4% of total)
ival-exp: 150.0ms (10.1% of total)
ival-add: 114.0ms (7.7% of total)
ival-sub: 100.0ms (6.7% of total)
const: 22.0ms (1.5% of total)
Bogosity

preprocess68.0ms (0.8%)

Algorithm
1×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
1×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)))

explain421.0ms (4.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(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
37.0ms328×0valid
140.0ms180×2valid
1.0ms4×1valid
Compiler

Compiled 69 to 38 computations (44.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-log: 81.0ms (58.3% of total)
backward-pass: 17.0ms (12.2% of total)
ival-add: 16.0ms (11.5% of total)
ival-exp: 10.0ms (7.2% of total)
ival-mult: 9.0ms (6.5% of total)
ival-sub: 5.0ms (3.6% of total)
const: 2.0ms (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
▶100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶100.0%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 20 to 14 computations (30% saved)

localize151.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 x))
✓cost-diff128
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
✓cost-diff128
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
✓accuracy100.0%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 x))
✓accuracy100.0%
(log1p.f64 (exp.f64 x))
✓accuracy98.9%
(log.f64 (+.f64 #s(literal 1 binary64) (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
016157
128157
239157
357157
476157
5110157
6164157
7215157
8280157
9355157
10409157
11424157
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
Results
28.0ms164×0valid
79.0ms90×2valid
1.0ms2×1valid
Compiler

Compiled 46 to 17 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-log: 45.0ms (54.9% of total)
backward-pass: 10.0ms (12.2% of total)
ival-add: 9.0ms (11% of total)
ival-sub: 6.0ms (7.3% of total)
ival-exp: 4.0ms (4.9% of total)
ival-mult: 4.0ms (4.9% of total)
ival-log1p: 4.0ms (4.9% of total)
const: 1.0ms (1.2% of total)

series72.0ms (0.8%)

Counts
5 → 48
Calls
Call 1
Inputs
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log1p.f64 (exp.f64 x))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 x))>
#<alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (exp.f64 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 #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 #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 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 (+.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
31.0ms
x
@inf
(log (+ 1 (exp x)))
31.0ms
x
@-inf
(log (+ 1 (exp x)))
3.0ms
y
@0
(- (log (+ 1 (exp x))) (* x y))
0.0ms
x
@0
(log (+ 1 (exp x)))
0.0ms
y
@-inf
(- (log (+ 1 (exp x))) (* x y))

rewrite270.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
807×log1p-expm1-u
807×expm1-log1p-u
702×prod-diff
399×log-prod
332×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01576
117276
2220676
Stop Event
1×node limit
Counts
5 → 247
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(exp.f64 x)
Outputs
(+.f64 (log1p.f64 (exp.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(*.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(*.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 (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)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(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 (log1p.f64 (exp.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
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(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 #s(literal 0 binary64) (exp.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (exp.f64 x))))) (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 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.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 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (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 (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 (sqrt.f64 x)) (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 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64))

simplify153.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
579×times-frac
516×distribute-lft-in
436×distribute-rgt-in
398×fma-neg
256×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05249338
111548986
232018698
Stop Event
1×node limit
Counts
295 → 286
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 #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)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) x)
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 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 (+.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 (log1p.f64 (exp.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(*.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(*.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 (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)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(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 (log1p.f64 (exp.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(*.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(*.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 (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 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal 1 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 (*.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 x) y (*.f64 x y)))
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(/.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)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (*.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)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 1 binary64) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(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 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.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)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.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)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.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))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.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 (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.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)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (log1p.f64 (exp.f64 x)))
(fma.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) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.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) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.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) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.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) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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) (fma.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)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (log1p.f64 (exp.f64 x)))
(fma.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))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 #s(literal 0 binary64) (exp.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (exp.f64 x))))) (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 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.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 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (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 (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 (sqrt.f64 x)) (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 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.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))))
(+.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 #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))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) x)
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 2 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 2 binary64))
(+.f64 #s(literal 2 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 2 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 2 binary64))
(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)))
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(fma.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 0 binary64) (*.f64 x y)))
(fma.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))) #s(literal 0 binary64))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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 0 binary64) (*.f64 x y)))
(fma.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))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (exp.f64 x))
(exp.f64 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (exp.f64 x))))) (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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(exp.f64 x)
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 x)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)))
(exp.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)))
(exp.f64 x)
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(exp.f64 x)
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))
(exp.f64 x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(exp.f64 x)
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64))
(exp.f64 x)
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(exp.f64 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)))
(exp.f64 x)
(log.f64 (exp.f64 (exp.f64 x)))
(exp.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 x))))
(exp.f64 x)
(cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(exp.f64 x)
(expm1.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 x)
(log1p.f64 (expm1.f64 (exp.f64 x)))
(exp.f64 x)
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(exp.f64 x)
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64))
(exp.f64 x)
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal -1 binary64))
(exp.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64))
(exp.f64 x)
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64))
(exp.f64 x)
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))

eval64.0ms (0.7%)

Compiler

Compiled 5707 to 2171 computations (62% saved)

prune52.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3218329
Fresh000
Picked112
Done000
Total3229331
Accuracy
100.0%
Counts
331 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
87.7%
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
▶76.9%
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.f64 x y))
▶100.0%
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 x y))
74.6%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
▶80.6%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
▶52.1%
(*.f64 (neg.f64 x) y)
99.9%
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
▶62.5%
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
Compiler

Compiled 191 to 142 computations (25.7% saved)

localize1.2s (13.6%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 2 binary64) (exp.f64 x))
✓cost-diff128
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
✓cost-diff256
(log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
✓cost-diff256
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 x y))
✓accuracy100.0%
(exp.f64 (*.f64 x (neg.f64 y)))
✓accuracy99.6%
(log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
✓accuracy96.6%
(log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
✓accuracy90.3%
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
Rules
534×fma-define
450×sub-neg
422×unsub-neg
404×distribute-lft-neg-in
362×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036554
182526
2153526
3347518
4634518
5943518
61577518
73923518
86597518
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 x y))
(log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
#s(literal -1 binary64)
(+.f64 #s(literal 2 binary64) (exp.f64 x))
#s(literal 2 binary64)
(exp.f64 x)
x
(*.f64 x y)
y
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(+.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
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(literal 2 binary64)
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
x
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 x y)
y
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(exp.f64 (*.f64 x (neg.f64 y)))
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
Outputs
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(log1p.f64 (exp.f64 x))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 2 binary64) (expm1.f64 x))
#s(literal -1 binary64)
(+.f64 #s(literal 2 binary64) (exp.f64 x))
#s(literal 2 binary64)
(exp.f64 x)
x
(*.f64 x y)
y
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(neg.f64 x)
x
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)))
(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
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) (*.f64 x y))
(-.f64 (log.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(log.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
x
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 x y)
y
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (neg.f64 y))))
(log.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) y)))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 x) y)))
(*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (neg.f64 y)))
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) y))
(/.f64 (+.f64 #s(literal 2 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 x) y))
(exp.f64 (*.f64 x (neg.f64 y)))
(pow.f64 (exp.f64 x) (neg.f64 y))
(pow.f64 (exp.f64 (neg.f64 x)) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
x
(neg.f64 y)
y
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 2 binary64) (expm1.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
Results
177.0ms128×0valid
615.0ms99×5exit
67.0ms29×2valid
Compiler

Compiled 167 to 92 computations (44.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 633.0ms
ival-log: 377.0ms (59.6% of total)
backward-pass: 122.0ms (19.3% of total)
ival-add: 50.0ms (7.9% of total)
ival-mult: 49.0ms (7.7% of total)
ival-sub: 13.0ms (2.1% of total)
ival-exp: 12.0ms (1.9% of total)
const: 7.0ms (1.1% of total)
ival-neg: 4.0ms (0.6% of total)

series119.0ms (1.3%)

Counts
7 → 112
Calls
Call 1
Inputs
#<alt (log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))>
#<alt (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))>
#<alt (exp.f64 (*.f64 x (neg.f64 y)))>
#<alt (-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 x y))>
#<alt (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))>
#<alt (+.f64 #s(literal 2 binary64) (exp.f64 x))>
Outputs
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y))))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) y) (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))))>
#<alt (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 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 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 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 -1/12 binary64) x))))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 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 -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.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 -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 16/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 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 -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (*.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 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 16/3 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 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 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 #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (*.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) (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 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 x))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 x))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 x))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 x))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 x))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 x))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 x))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 x))>
#<alt #s(literal 3 binary64)>
#<alt (+.f64 #s(literal 3 binary64) x)>
#<alt (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>
Calls

30 calls:

TimeVariablePointExpression
42.0ms
x
@-inf
(log (* (exp (* x (neg y))) (+ 1 (exp x))))
24.0ms
y
@inf
(log (* (exp (* x (neg y))) (+ 1 (exp x))))
19.0ms
x
@inf
(log (* (exp (* x (neg y))) (+ 1 (exp x))))
19.0ms
y
@-inf
(log (* (exp (* x (neg y))) (+ 1 (exp x))))
1.0ms
x
@0
(log (* (exp (* x (neg y))) (+ 1 (exp x))))

rewrite188.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1027×log1p-expm1-u
202×expm1-log1p-u
196×add-exp-log
193×add-log-exp
191×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029178
1462136
26408136
Stop Event
1×node limit
Counts
7 → 251
Calls
Call 1
Inputs
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(exp.f64 (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 x y))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
Outputs
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (fma.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 (fma.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 #s(literal 0 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))) (/.f64 (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) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(*.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (sqrt.f64 (fma.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) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(*.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.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) (fma.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 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.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) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
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(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 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.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 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (exp.f64 x))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) (exp.f64 x))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (exp.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -3 binary64) (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (expm1.f64 x))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64))

simplify605.0ms (6.8%)

Algorithm
1×egg-herbie
Rules
388×cancel-sign-sub-inv
370×fma-neg
368×fma-define
276×distribute-lft-neg-in
261×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064612449
1154211925
2516711806
Stop Event
1×node limit
Counts
363 → 370
Calls
Call 1
Inputs
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.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 binary64) (*.f64 #s(literal -2 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) y) (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(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 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 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 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 -1/12 binary64) x))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 16/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
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(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
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#s(literal 1 binary64)
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(exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)))
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(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
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#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) x)
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#s(literal 3 binary64)
(+.f64 #s(literal 3 binary64) x)
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(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
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(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64))
Outputs
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -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 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (+.f64 (-.f64 #s(literal 1/2 binary64) y) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y))))))
(fma.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) y)) (-.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 binary64) (*.f64 #s(literal -2 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) y) (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)) (+.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) y) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (fma.f64 #s(literal -3/2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) y)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 y #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 y #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64))))))))) (*.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) y) (+.f64 #s(literal 2 binary64) (expm1.f64 x))))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) y) (+.f64 #s(literal 2 binary64) (expm1.f64 x))))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) y) (+.f64 #s(literal 2 binary64) (expm1.f64 x))))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) y) (+.f64 #s(literal 2 binary64) (expm1.f64 x))))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) y) (+.f64 #s(literal 2 binary64) (expm1.f64 x))))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) y) (+.f64 #s(literal 2 binary64) (expm1.f64 x))))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) y) (+.f64 #s(literal 2 binary64) (expm1.f64 x))))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) y) (+.f64 #s(literal 2 binary64) (expm1.f64 x))))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 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 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) y) (+.f64 #s(literal 2 binary64) (expm1.f64 x))))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) y) (+.f64 #s(literal 2 binary64) (expm1.f64 x))))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) y) (+.f64 #s(literal 2 binary64) (expm1.f64 x))))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) y) (+.f64 #s(literal 2 binary64) (expm1.f64 x))))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) y) (+.f64 #s(literal 2 binary64) (expm1.f64 x))))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) y) (+.f64 #s(literal 2 binary64) (expm1.f64 x))))
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(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (exp.f64 x))

eval83.0ms (0.9%)

Compiler

Compiled 6378 to 3669 computations (42.5% saved)

prune58.0ms (0.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New3664370
Fresh123
Picked145
Done101
Total36910379
Accuracy
100.0%
Counts
379 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.7%
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓76.9%
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.f64 x y))
▶76.9%
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 x y))
▶74.6%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))
✓80.6%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
✓52.1%
(*.f64 (neg.f64 x) y)
▶99.9%
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
49.8%
(log1p.f64 (exp.f64 x))
✓62.5%
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
▶48.4%
(log.f64 #s(literal 2 binary64))
Compiler

Compiled 165 to 126 computations (23.6% saved)

localize487.0ms (5.5%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
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))
✓accuracy100.0%
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))
✓accuracy99.8%
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
✓accuracy99.7%
(/.f64 (log1p.f64 (exp.f64 x)) x)
✓accuracy82.2%
(log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
Rules
834×fma-define
628×div-sub
405×unsub-neg
377×fma-neg
367×sub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035545
175497
2146485
3371485
4771476
51211476
61964476
73977476
85224476
96133476
106628476
116799476
126853476
137420476
147862476
Stop Event
1×node limit
Calls
Call 1
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
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.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
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))
x
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
y
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 x y))
(log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(literal -1 binary64)
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(literal 3 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
x
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(*.f64 x y)
y
Outputs
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(-.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
(log.f64 #s(literal 2 binary64))
(log1p.f64 #s(literal 1 binary64))
#s(literal 2 binary64)
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(log1p.f64 #s(literal 1 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 1 binary64)
(*.f64 x y)
x
y
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) 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)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)) (log1p.f64 #s(literal 1 binary64)))
(log.f64 #s(literal 2 binary64))
(log1p.f64 #s(literal 1 binary64))
#s(literal 2 binary64)
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)))
x
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
y
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) (*.f64 x y))
(-.f64 (log.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(log.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal -1 binary64)
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 3 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 3 binary64))
#s(literal 3 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x y)
y
Results
143.0ms255×0valid
1.0ms1×1valid
Compiler

Compiled 163 to 101 computations (38% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-mult: 38.0ms (36.9% of total)
ival-add: 22.0ms (21.4% of total)
ival-log: 16.0ms (15.5% of total)
ival-log1p: 10.0ms (9.7% of total)
ival-sub: 7.0ms (6.8% of total)
const: 5.0ms (4.9% of total)
ival-div: 2.0ms (1.9% of total)
ival-exp: 2.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series30.0ms (0.3%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))>
#<alt (/.f64 (log1p.f64 (exp.f64 x)) x)>
#<alt (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))>
#<alt (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) 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 -1/12 binary64) x))))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 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 -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.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 -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 16/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 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 -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (*.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 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 16/3 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) x))))>
#<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 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 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 #s(literal 1/8 binary64) x))) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 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 #s(literal 1/8 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 #s(literal 1/8 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 #s(literal 1/8 binary64) 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))))))>
Calls

24 calls:

TimeVariablePointExpression
11.0ms
x
@inf
(/ (log (+ 1 (exp x))) x)
6.0ms
x
@-inf
(/ (log (+ 1 (exp x))) x)
1.0ms
x
@inf
(* x (- (+ 1/2 (* x 1/8)) y))
1.0ms
x
@-inf
(* x (- (/ (log (+ 1 (exp x))) x) y))
1.0ms
x
@-inf
(* x (- (+ 1/2 (* x 1/8)) y))

rewrite188.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1027×log1p-expm1-u
200×expm1-log1p-u
195×add-exp-log
194×add-log-exp
193×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028159
1429151
26370151
Stop Event
1×node limit
Counts
5 → 138
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (log1p.f64 (exp.f64 x)) x)
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
Outputs
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))))
(*.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(pow.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(log1p.f64 (-.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (exp.f64 x)) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) x))
(*.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) #s(literal 2 binary64)))
(*.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)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 x)))
(pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 1 binary64))
(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))
(pow.f64 (/.f64 x (log1p.f64 (exp.f64 x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 x))) x))
(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 (neg.f64 y) x))
(-.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 (/.f64 (log1p.f64 (exp.f64 x)) x) y))))
(/.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 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(/.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 (/.f64 (log1p.f64 (exp.f64 x)) x) y))))
(/.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 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(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 x #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) x))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) (*.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) 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 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))))
(*.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 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(*.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 (/.f64 (log1p.f64 (exp.f64 x)) x) y))) (-.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 (/.f64 (log1p.f64 (exp.f64 x)) x) y) (-.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 (/.f64 (log1p.f64 (exp.f64 x)) x) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(/.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 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))))
(/.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 (/.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 (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 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y))
(fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) 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))

simplify121.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
698×distribute-lft-in
677×distribute-rgt-in
439×fma-neg
209×cancel-sign-sub-inv
198×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04508939
110448679
231488440
Stop Event
1×node limit
Counts
234 → 267
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 -1/12 binary64) x))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 16/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 16/3 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) x))))
(/.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)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) 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 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))
(*.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)))))
(*.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)))))
(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 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) 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 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))
(*.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)))))
(*.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)))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
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(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) 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 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))))
(*.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 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(*.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 (/.f64 (log1p.f64 (exp.f64 x)) x) y))) (-.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 (/.f64 (log1p.f64 (exp.f64 x)) x) y) (-.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 (/.f64 (log1p.f64 (exp.f64 x)) x) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(/.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 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))))
(/.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 (/.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 (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 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y))
(fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) 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))
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 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 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 -1/12 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 x #s(literal -1/12 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))))
(fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal -2 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (log.f64 x) #s(literal -2 binary64))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 16/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 16/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 2 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 16/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (log.f64 x) #s(literal -2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -16/3 binary64) x)) x) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 16/3 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 16/3 binary64) x)) x) #s(literal -2 binary64)) x))))
(-.f64 (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -16/3 binary64) x)) x) #s(literal -2 binary64)) x))
(+.f64 (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -16/3 binary64) x)) x)) x))
(/.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 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) 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 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) 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 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/192 binary64))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log1p.f64 (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)))
(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 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 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 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/192 binary64)))) y))))
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/192 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 y (neg.f64 x))
(*.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 (log1p.f64 (exp.f64 x)) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.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 (log1p.f64 (exp.f64 x)) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.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 (log1p.f64 (exp.f64 x)) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(*.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)))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.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)))))
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(/.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 (/.f64 (log1p.f64 (exp.f64 x)) x) 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 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64))))
(/.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 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(*.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 (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 (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 #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 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64))))
(/.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)))
(*.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 (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)))
(pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 1 binary64))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 3 binary64))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(pow.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 2 binary64))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 2 binary64)))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(log.f64 (exp.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(-.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))))
(-.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)))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(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)))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(exp.f64 (log.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(-.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)))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) 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))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) 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 (/.f64 (log1p.f64 (exp.f64 x)) x) y)

eval55.0ms (0.6%)

Compiler

Compiled 4395 to 2385 computations (45.7% saved)

prune54.0ms (0.6%)

Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New2654269
Fresh011
Picked235
Done134
Total26811279
Accuracy
100.0%
Counts
279 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.7%
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓76.9%
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.f64 x y))
✓76.9%
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 x y))
▶74.6%
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) x)))
✓80.6%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
▶52.1%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
✓52.1%
(*.f64 (neg.f64 x) y)
▶87.7%
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
▶86.9%
(*.f64 x (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal -1 binary64))))
▶49.8%
(log1p.f64 (exp.f64 x))
✓48.4%
(log.f64 #s(literal 2 binary64))
Compiler

Compiled 178 to 134 computations (24.7% saved)

localize272.0ms (3.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓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-diff256
(*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal -1 binary64)))
✓cost-diff384
(*.f64 x (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal -1 binary64))))
✓accuracy99.8%
(/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓accuracy99.8%
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
✓accuracy99.6%
(/.f64 (log.f64 #s(literal 2 binary64)) x)
✓accuracy87.5%
(*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal -1 binary64)))
Rules
852×fma-neg
689×distribute-lft-neg-in
648×distribute-rgt-neg-in
520×associate-/r/
513×times-frac
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
033583
172557
2168545
3333527
4628503
51046497
63498497
Stop Event
1×node limit
Calls
Call 1
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
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) x)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) x))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) x)
(-.f64 (*.f64 x #s(literal 1/8 binary64)) y)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
y
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal -1 binary64))))
x
(*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal -1 binary64)))
y
(+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal -1 binary64))
(/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
(*.f64 x y)
#s(literal -1 binary64)
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))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(-.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
(+.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)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal 1/2 binary64))))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))
(*.f64 x (+.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal 1/2 binary64)))
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) x)
(*.f64 x (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(*.f64 (neg.f64 x) (fma.f64 x #s(literal -1/8 binary64) y))
(-.f64 (*.f64 x #s(literal 1/8 binary64)) y)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
y
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
x
(*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal -1 binary64)))
(fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
y
(+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal -1 binary64))
(/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
(*.f64 x y)
#s(literal -1 binary64)
Results
145.0ms256×0valid
Compiler

Compiled 164 to 89 computations (45.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-mult: 37.0ms (36.1% of total)
ival-log: 24.0ms (23.4% of total)
ival-div: 13.0ms (12.7% of total)
ival-add: 13.0ms (12.7% of total)
ival-sub: 7.0ms (6.8% of total)
const: 4.0ms (3.9% of total)
ival-log1p: 3.0ms (2.9% of total)
ival-exp: 2.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series217.0ms (2.4%)

Counts
6 → 114
Calls
Call 1
Inputs
#<alt (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal -1 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 (log1p.f64 (exp.f64 x)) (*.f64 x y))>
#<alt (*.f64 x (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal -1 binary64))))>
#<alt (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)>
Outputs
#<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 (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))))) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))))) x)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<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 (*.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 (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)) (*.f64 x y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)>
#<alt (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)>
#<alt (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/192 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))>
#<alt (/.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 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.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) (*.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 #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))))))>
Calls

33 calls:

TimeVariablePointExpression
161.0ms
x
@inf
(/ (log 2) x)
16.0ms
x
@0
(/ (log 2) x)
10.0ms
y
@0
(/ (log (+ 1 (exp x))) (* x y))
7.0ms
y
@inf
(/ (log (+ 1 (exp x))) (* x y))
4.0ms
x
@0
(/ (log (+ 1 (exp x))) (* x y))

rewrite204.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1050×log1p-expm1-u
980×expm1-log1p-u
141×associate-*r*
140×add-exp-log
140×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021198
1306198
24552198
Stop Event
1×node limit
Counts
6 → 186
Calls
Call 1
Inputs
(*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #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 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 x (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal -1 binary64))))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
Outputs
(+.f64 (neg.f64 y) (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))
(+.f64 (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (neg.f64 y))
(+.f64 (*.f64 (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (neg.f64 y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (neg.f64 y)))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) (*.f64 y x)))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 3 binary64))) y) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) (*.f64 y x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 2 binary64)) #s(literal -1 binary64)) y) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) (neg.f64 y))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) y (neg.f64 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(*.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) x))
(*.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (log.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
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(pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(exp.f64 (log.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 1 binary64)))
(fma.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
(fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) (neg.f64 y))
(fma.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) (neg.f64 y))

simplify166.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
679×fma-neg
321×distribute-lft-neg-out
281×distribute-lft-neg-in
269×fma-define
262×distribute-rgt-neg-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051610611
1129610134
241309682
Stop Event
1×node limit
Counts
300 → 297
Calls
Call 1
Inputs
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.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 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))))))
(*.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))))))
(*.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))))))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))))) x)
(*.f64 #s(literal -1 binary64) y)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(*.f64 #s(literal -1 binary64) y)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.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 #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)) (*.f64 x y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)
(/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)
(/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/192 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)
(/.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 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 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 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 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 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 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 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 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 x))) (*.f64 x y))
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))))
(*.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)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) 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 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))
(*.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)))))
(*.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)))))
(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 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) 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 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))
(*.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)))))
(*.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)))))
(/.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 (neg.f64 y) (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))
(+.f64 (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (neg.f64 y))
(+.f64 (*.f64 (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (neg.f64 y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (neg.f64 y)))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) (*.f64 y x)))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 3 binary64))) y) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) (*.f64 y x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 2 binary64)) #s(literal -1 binary64)) y) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal -1 binary64))))))
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(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(*.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 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 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x)) (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.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 (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 (neg.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.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 (neg.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (neg.f64 y)))
(pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(exp.f64 (log.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 1 binary64)))
(fma.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
(fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) (neg.f64 y))
(fma.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) (neg.f64 y))
Outputs
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.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))))))
(fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(*.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))))))
(fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(*.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))))))
(fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) x)
(/.f64 (fma.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/8 binary64) x (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))))) x)
(/.f64 (fma.f64 x (fma.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x #s(literal 1/8 binary64))) (log.f64 #s(literal 2 binary64))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))))) x)
(/.f64 (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)) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (log.f64 #s(literal 2 binary64))) x)
(/.f64 (fma.f64 x (fma.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x (fma.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)))) (log.f64 #s(literal 2 binary64))) x)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) 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 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 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 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 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 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.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 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 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 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 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 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 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 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x 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 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 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 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 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 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.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 (fma.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 (fma.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 (fma.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 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 y (fma.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 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 y (fma.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 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 y (fma.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 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)
(/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 x y) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)
(/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/192 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 #s(literal 1/8 binary64) y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(/.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(/.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(/.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(/.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
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(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (neg.f64 y)))
(*.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(/.f64 (-.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)))
(pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 1 binary64))
(-.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 3 binary64))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(pow.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 2 binary64))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 2 binary64)))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(log.f64 (exp.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 3 binary64)))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(exp.f64 (log.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(fma.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x) (neg.f64 y))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) (neg.f64 y))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(fma.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) (neg.f64 y))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)

eval58.0ms (0.7%)

Compiler

Compiled 4993 to 2627 computations (47.4% saved)

prune66.0ms (0.7%)

Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New2952297
Fresh000
Picked145
Done066
Total29612308
Accuracy
100.0%
Counts
308 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.7%
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓76.9%
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.f64 x y))
✓76.9%
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 x y))
✓74.6%
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) x)))
✓80.6%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
✓52.1%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
✓52.1%
(*.f64 (neg.f64 x) y)
✓87.7%
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
74.6%
(*.f64 x (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64))))
61.6%
(*.f64 x (*.f64 y (+.f64 (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) #s(literal -1 binary64))))
✓49.8%
(log1p.f64 (exp.f64 x))
✓48.4%
(log.f64 #s(literal 2 binary64))
Compiler

Compiled 356 to 241 computations (32.3% saved)

regimes20.0ms (0.2%)

Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) y)
(log.f64 #s(literal 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 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(*.f64 x (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) x)))
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 x y))
(*.f64 x (*.f64 y (+.f64 (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) #s(literal -1 binary64))))
(log1p.f64 (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 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 x y))
(*.f64 x (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal -1 binary64))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 x y))
Calls

3 calls:

6.0ms
y
6.0ms
x
4.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes16.0ms (0.2%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) y)
(log.f64 #s(literal 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 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(*.f64 x (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) x)))
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 x y))
(*.f64 x (*.f64 y (+.f64 (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) #s(literal -1 binary64))))
(log1p.f64 (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))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Calls

3 calls:

7.0ms
y
5.0ms
x
3.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes13.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) y)
(log.f64 #s(literal 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 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(*.f64 x (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) x)))
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 x y))
(*.f64 x (*.f64 y (+.f64 (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) #s(literal -1 binary64))))
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

2 calls:

7.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.2%)

Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) y)
(log.f64 #s(literal 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 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(*.f64 x (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) x)))
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 x y))
(*.f64 x (*.f64 y (+.f64 (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) #s(literal -1 binary64))))
(log1p.f64 (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:

9.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
99.4%2x
87.7%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) y)
(log.f64 #s(literal 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 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(*.f64 x (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64))))
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
99.2%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) y)
(log.f64 #s(literal 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:

4.0ms
x
Results
AccuracySegmentsBranch
98.5%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) y)
(log.f64 #s(literal 2 binary64))
Outputs
(*.f64 (neg.f64 x) y)
(log.f64 #s(literal 2 binary64))
(*.f64 (neg.f64 x) y)
Calls

2 calls:

4.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
69.5%5y
85.2%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) y)
Outputs
(*.f64 (neg.f64 x) y)
Calls

2 calls:

0.0ms
x
0.0ms
y
Results
AccuracySegmentsBranch
52.1%1y
52.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
-568.7732564163236
-103.74328181564074
Results
5.0ms54×0valid
9.0ms42×1valid
Compiler

Compiled 148 to 114 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-exp: 3.0ms (28.5% of total)
ival-log: 3.0ms (28.5% of total)
ival-add: 1.0ms (9.5% of total)
ival-sub: 1.0ms (9.5% of total)
backward-pass: 1.0ms (9.5% of total)
ival-mult: 1.0ms (9.5% of total)
const: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
-568.7732564163236
-103.74328181564074
Results
4.0ms53×0valid
10.0ms43×1valid
Compiler

Compiled 124 to 96 computations (22.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 3.0ms (29.1% of total)
ival-log: 3.0ms (29.1% of total)
ival-add: 2.0ms (19.4% of total)
ival-sub: 1.0ms (9.7% of total)
backward-pass: 1.0ms (9.7% of total)
ival-mult: 1.0ms (9.7% of total)
const: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
-568.7732564163236
-103.74328181564074
Results
11.0ms51×1valid
5.0ms45×0valid
Compiler

Compiled 112 to 84 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 4.0ms (33% of total)
ival-log: 4.0ms (33% of total)
ival-add: 1.0ms (8.2% of total)
ival-sub: 1.0ms (8.2% of total)
backward-pass: 1.0ms (8.2% of total)
ival-mult: 1.0ms (8.2% of total)
const: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
8.971050165443035e-20
3.2576302395789067e-19
16.0ms
-5.056890031608056e-46
-2.8186497461131113e-49
Results
15.0ms208×0valid
Compiler

Compiled 172 to 142 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log: 3.0ms (33.3% of total)
ival-exp: 2.0ms (22.2% of total)
ival-mult: 2.0ms (22.2% of total)
ival-sub: 1.0ms (11.1% of total)
ival-add: 1.0ms (11.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
15×+-commutative
9×sub-neg
8×*-commutative
8×cancel-sign-sub-inv
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051361
186361
2104361
3109361
4111361
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -105 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 -105 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 -105 binary64)) (*.f64 (neg.f64 x) y) (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y)))
(if (<=.f64 x #s(literal -7841857655983873/25711008708143844408671393477458601640355247900524685364822016 binary64)) (*.f64 (neg.f64 x) y) (if (<=.f64 x #s(literal 5399988732876221/20769187434139310514121985316880384 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) y)))
(*.f64 (neg.f64 x) y)
Outputs
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 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 (exp.f64 x) #s(literal 1 binary64))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -105 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 -105 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 -105 binary64)) (*.f64 x (neg.f64 y)) (+.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 -105 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 -105 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 -105 binary64)) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -105 binary64)) (*.f64 (neg.f64 x) y) (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y)))
(if (<=.f64 x #s(literal -105 binary64)) (*.f64 y (neg.f64 x)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y)))
(if (<=.f64 x #s(literal -105 binary64)) (*.f64 x (neg.f64 y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y)))
(if (<=.f64 x #s(literal -7841857655983873/25711008708143844408671393477458601640355247900524685364822016 binary64)) (*.f64 (neg.f64 x) y) (if (<=.f64 x #s(literal 5399988732876221/20769187434139310514121985316880384 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) y)))
(if (or (<=.f64 x #s(literal -7841857655983873/25711008708143844408671393477458601640355247900524685364822016 binary64)) (not (<=.f64 x #s(literal 5399988732876221/20769187434139310514121985316880384 binary64)))) (*.f64 y (neg.f64 x)) (log.f64 #s(literal 2 binary64)))
(if (or (<=.f64 x #s(literal -7841857655983873/25711008708143844408671393477458601640355247900524685364822016 binary64)) (not (<=.f64 x #s(literal 5399988732876221/20769187434139310514121985316880384 binary64)))) (*.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))

soundness410.0ms (4.6%)

Rules
807×log1p-expm1-u
807×expm1-log1p-u
702×prod-diff
579×times-frac
516×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030234
173226
2129210
3282210
4434210
5622210
6763210
7877210
8905210
9907210
05249338
111548986
232018698
01576
117276
2220676
Stop Event
1×fuel
1×node limit
1×node limit
1×saturated
Compiler

Compiled 339 to 199 computations (41.3% saved)

preprocess62.0ms (0.7%)

Compiler

Compiled 274 to 164 computations (40.1% saved)

end0.0ms (0%)

Profiling

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