Logistic regression 2

Time bar (total: 12.3s)

analyze91.0ms (0.7%)

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: 37.0ms
ival-log: 10.0ms (27% of total)
ival-mult: 8.0ms (21.6% of total)
ival-exp: 7.0ms (18.9% of total)
ival-add: 6.0ms (16.2% of total)
ival-sub: 5.0ms (13.5% of total)
ival-true: 1.0ms (2.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample4.6s (37.8%)

Results
2.7s2744×5exit
664.0ms7615×0valid
432.0ms641×1valid
Precisions
Click to see histograms. Total time spent on operations: 3.0s
ival-log: 1.9s (62% of total)
backward-pass: 393.0ms (12.9% of total)
ival-mult: 263.0ms (8.6% of total)
ival-exp: 195.0ms (6.4% of total)
ival-add: 146.0ms (4.8% of total)
ival-sub: 139.0ms (4.6% of total)
ival-true: 14.0ms (0.5% of total)
const: 10.0ms (0.3% of total)
Bogosity

preprocess70.0ms (0.6%)

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)))

explain131.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(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
53.0ms118×2valid
36.0ms376×0valid
6.0ms18×1valid
Compiler

Compiled 69 to 26 computations (62.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-log: 30.0ms (50.5% of total)
ival-add: 7.0ms (11.8% of total)
ival-sub: 6.0ms (10.1% of total)
ival-mult: 6.0ms (10.1% of total)
backward-pass: 5.0ms (8.4% of total)
ival-exp: 4.0ms (6.7% of total)
const: 1.0ms (1.7% of total)
ival-true: 1.0ms (1.7% of total)

eval0.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify29.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(log1p.f64 (exp.f64 x))
✓cost-diff0
(neg.f64 y)
✓cost-diff6336
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(log1p.f64 (exp.f64 x))
✓cost-diff0
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Rules
101×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
015137
130137
247137
365137
488137
5120137
6172137
7233137
8291137
9354137
10408137
11423137
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
x
(neg.f64 y)
y
(log1p.f64 (exp.f64 x))
(exp.f64 x)
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
x
(neg.f64 y)
y
(log1p.f64 (exp.f64 x))
(exp.f64 x)

localize73.0ms (0.6%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓accuracy99.6%
(log1p.f64 (exp.f64 x))
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓accuracy99.6%
(log1p.f64 (exp.f64 x))
Results
62.0ms256×0valid
Compiler

Compiled 36 to 9 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-neg: 35.0ms (74.8% of total)
ival-log1p: 3.0ms (6.4% of total)
ival-fma: 3.0ms (6.4% of total)
ival-exp: 2.0ms (4.3% of total)
ival-mult: 2.0ms (4.3% of total)
ival-sub: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series73.0ms (0.6%)

Counts
6 → 76
Calls
Call 1
Inputs
#<alt (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))>
#<alt (log1p.f64 (exp.f64 x))>
#<alt (exp.f64 x)>
#<alt (*.f64 x y)>
#<alt (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))>
#<alt (neg.f64 y)>
Outputs
#<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 (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) x)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 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 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
Calls

27 calls:

TimeVariablePointExpression
24.0ms
x
@inf
(log (+ 1 (exp x)))
24.0ms
x
@-inf
(log (+ 1 (exp x)))
6.0ms
y
@0
(- (log (+ 1 (exp x))) (* x y))
5.0ms
x
@inf
(- (log (+ 1 (exp x))) (* x y))
4.0ms
x
@-inf
(- (log (+ 1 (exp x))) (* x y))

rewrite529.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
928×prod-diff
636×log1p-expm1-u
636×expm1-log1p-u
343×log-prod
237×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015101
118189
2246689
Stop Event
1×node limit
Counts
6 → 424
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
(*.f64 x y)
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(neg.f64 y)
Outputs
(+.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 (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 (neg.f64 x)) y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x y)))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 y (*.f64 x #s(literal -1 binary64))))) (fma.f64 y (*.f64 x #s(literal -1 binary64)) (*.f64 y (*.f64 x #s(literal -1 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)))) (fma.f64 (*.f64 x y) #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64))))) (fma.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 y (*.f64 x #s(literal -1 binary64))))) (fma.f64 y (*.f64 x #s(literal -1 binary64)) (*.f64 y (*.f64 x #s(literal -1 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))) (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)) (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)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 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)))))
(-.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 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(*.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(*.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 (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 (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) (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)))))
(*.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 (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))) (-.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 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (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))) (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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (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)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) (neg.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 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (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))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.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))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(log.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 y (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))

simplify774.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
406×distribute-lft-neg-in
395×distribute-rgt-neg-in
353×fma-define
276×associate-*r*
256×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071315812
1159414974
2501414909
Stop Event
1×node limit
Counts
500 → 367
Calls
Call 1
Inputs
(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))
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(pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (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))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.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))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(log.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 y (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
Outputs
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))) y))))
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(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 #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(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 binary64) 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)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))) y))))
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 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 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 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 #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 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) 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 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) 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 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 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 (log1p.f64 (exp.f64 x)) y) x))
(*.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 (log1p.f64 (exp.f64 x)) y) x))
(*.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 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.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 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.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 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y x (*.f64 x y)))
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(fma.f64 x y (log1p.f64 (exp.f64 x)))
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(fma.f64 x y (log1p.f64 (exp.f64 x)))
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(fma.f64 x y (log1p.f64 (exp.f64 x)))
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(fma.f64 x y (log1p.f64 (exp.f64 x)))
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y
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y
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y
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y
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y
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y
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y
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y
(log.f64 (exp.f64 y))
y
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y
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(neg.f64 y)
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y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
y
(exp.f64 (log.f64 y))
y
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
y
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
y
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
y
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y

eval104.0ms (0.8%)

Compiler

Compiled 7540 to 1059 computations (86% saved)

prune187.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4348442
Fresh000
Picked202
Done000
Total4368444
Accuracy
99.7%
Counts
444 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶92.6%
(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))
▶98.8%
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))
▶92.6%
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
▶83.8%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
86.4%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
▶46.2%
(*.f64 x (neg.f64 y))
55.1%
(log1p.f64 (exp.f64 x))
55.0%
(log.f64 #s(literal 2 binary64))
Compiler

Compiled 138 to 108 computations (21.7% saved)

simplify247.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log1p.f64 #s(literal 1 binary64))
cost-diff0
(neg.f64 y)
✓cost-diff0
(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))
✓cost-diff-6272
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)
✓cost-diff-6272
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))
✓cost-diff0
(*.f64 #s(literal 1/8 binary64) x)
✓cost-diff0
(log.f64 #s(literal 2 binary64))
✓cost-diff-6336
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
cost-diff0
(*.f64 x y)
✓cost-diff0
(log1p.f64 #s(literal 1 binary64))
cost-diff0
(neg.f64 y)
✓cost-diff0
(*.f64 x (neg.f64 y))
✓cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
✓cost-diff0
(log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
✓cost-diff0
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))
Rules
1014×fma-define
794×fma-neg
247×cancel-sign-sub-inv
191×distribute-rgt-in
149×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031432
162412
2101412
3200412
4375412
5616412
61051412
71938412
83104412
93738412
103788412
113788412
124108412
134108412
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(sqrt.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 x (neg.f64 y))
x
(neg.f64 y)
y
(-.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 #s(literal 1/8 binary64) x)) y)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))
x
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)
(+.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)
y
(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))
x
(neg.f64 y)
y
(log1p.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(sqrt.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 x (neg.f64 y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
x
(neg.f64 y)
y
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 y (neg.f64 x) (log.f64 #s(literal 2 binary64)))
(log1p.f64 #s(literal 1 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 1 binary64)
(*.f64 x y)
x
y
(+.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)))
(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 (-.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 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 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 (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)))
x
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #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 #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)
y
(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 y (neg.f64 x) (log.f64 #s(literal 2 binary64)))
x
(neg.f64 y)
y
(log1p.f64 #s(literal 1 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 1 binary64)

localize327.0ms (2.7%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(log1p.f64 #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 1/8 binary64) x)
✓accuracy100.0%
(log.f64 #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))
✓accuracy100.0%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(log1p.f64 #s(literal 1 binary64))
✓accuracy100.0%
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓accuracy100.0%
(*.f64 x (neg.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 x))
✓accuracy100.0%
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))
✓accuracy98.5%
(log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
Results
131.0ms188×0valid
118.0ms59×2valid
17.0ms9×1valid
Compiler

Compiled 125 to 25 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-log: 37.0ms (27.6% of total)
ival-mult: 24.0ms (17.9% of total)
ival-sub: 15.0ms (11.2% of total)
backward-pass: 14.0ms (10.4% of total)
ival-add: 10.0ms (7.5% of total)
ival-exp: 8.0ms (6% of total)
ival-log1p: 8.0ms (6% of total)
ival-fma: 8.0ms (6% of total)
ival-sqrt: 6.0ms (4.5% of total)
ival-neg: 3.0ms (2.2% of total)
const: 1.0ms (0.7% of total)
ival-true: 1.0ms (0.7% of total)

series161.0ms (1.3%)

Counts
14 → 176
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))>
#<alt (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (*.f64 x (neg.f64 y))>
#<alt (log1p.f64 #s(literal 1 binary64))>
#<alt (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))>
#<alt (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)>
#<alt (fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 x))>
#<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)))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) y)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (-.f64 (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (-.f64 (+.f64 (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x)) y))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x)) y))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.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 -2 binary64) (/.f64 (log.f64 (sqrt.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 -2 binary64) (/.f64 (log.f64 (sqrt.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 -2 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) y)) x))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) y)) x))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.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 -2 binary64) (/.f64 (log.f64 (sqrt.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 -2 binary64) (/.f64 (log.f64 (sqrt.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 -2 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (log.f64 (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
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#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.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 (log.f64 #s(literal 2 binary64)) (*.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 (log.f64 #s(literal 2 binary64)) (*.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 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) y)))))>
Calls

57 calls:

TimeVariablePointExpression
62.0ms
x
@-inf
(* 2 (log (sqrt (+ 1 (exp x)))))
26.0ms
x
@inf
(* 2 (log (sqrt (+ 1 (exp x)))))
7.0ms
y
@0
(- (* 2 (log (sqrt (+ 1 (exp x))))) (* x y))
6.0ms
x
@inf
(- (* 2 (log (sqrt (+ 1 (exp x))))) (* x y))
6.0ms
x
@-inf
(- (* 2 (log (sqrt (+ 1 (exp x))))) (* x y))

rewrite226.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
797×log1p-expm1-u
213×expm1-log1p-u
210×add-exp-log
208×add-log-exp
208×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031314
1475250
26926250
Stop Event
1×node limit
Counts
14 → 397
Calls
Call 1
Inputs
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 x (neg.f64 y))
(log1p.f64 #s(literal 1 binary64))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(log.f64 #s(literal 2 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)
(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
Outputs
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (fma.f64 y x (*.f64 x y))))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 y x (*.f64 x y)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x 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)))
(+.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)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (fma.f64 y x (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y))))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 y x (*.f64 x y)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.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 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 2 binary64))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (*.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y))) (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 y x (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y)))) (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 y x (*.f64 x y))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 y x (*.f64 x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))) #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 y x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x y))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 y x (*.f64 x y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))))
(+.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 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(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))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (log.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))))
(fabs.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x))))
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x)))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) (log.f64 #s(literal 2 binary64))))
(pow.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 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)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)))) (log.f64 #s(literal 2 binary64)))

simplify867.0ms (7.1%)

Algorithm
1×egg-herbie
Rules
902×fma-neg
541×fma-define
316×associate-*r*
263×associate-*l*
256×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
088721301
1202519087
2707719081
Stop Event
1×node limit
Counts
573 → 574
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) y)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (-.f64 (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (-.f64 (+.f64 (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x)) y))
(*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x)) y))
(*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.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 -2 binary64) (/.f64 (log.f64 (sqrt.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 -2 binary64) (/.f64 (log.f64 (sqrt.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 -2 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) y)) x))
(*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) y)) x))
(*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.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 -2 binary64) (/.f64 (log.f64 (sqrt.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 -2 binary64) (/.f64 (log.f64 (sqrt.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 -2 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(log.f64 (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (+.f64 (*.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 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(sqrt.f64 #s(literal 2 binary64))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 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 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
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(*.f64 #s(literal -1 binary64) (*.f64 x y))
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(cbrt.f64 (pow.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))) #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 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x))))
(*.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 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x)))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x)))))
(*.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 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (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 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x)))))
(/.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) (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))) (+.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 (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 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.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 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (expm1.f64 x))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x))) #s(literal 2 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 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 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 (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 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))))) (/.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))))))
(*.f64 #s(literal 1 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))))
(*.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) (log.f64 #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) (log.f64 #s(literal 2 binary64))))) (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) (log.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))) (log.f64 #s(literal 2 binary64))))
(pow.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 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)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)))) (log.f64 #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) y)))
(fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) y)))
(fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (-.f64 (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)))
(fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (-.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)))
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(pow.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64))) #s(literal 1 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)))
(fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))) #s(literal 3 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)))
(fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 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)))
(fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))) #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)))
(fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
(log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 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)))
(fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64))) #s(literal 3 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)))
(fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 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)))
(fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 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)))
(fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))) #s(literal 1 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)))
(fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 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)))
(fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (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)))
(fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) x (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)))
(fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 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)))
(fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) y)))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/8 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)))
(fma.f64 x (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))

eval123.0ms (1%)

Compiler

Compiled 12282 to 2459 computations (80% saved)

prune101.0ms (0.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New7574761
Fresh033
Picked235
Done000
Total75910769
Accuracy
99.7%
Counts
769 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓92.6%
(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))
▶91.8%
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x y))
✓92.6%
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
▶86.4%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
▶60.2%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
82.4%
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))
✓46.2%
(*.f64 x (neg.f64 y))
▶2.3%
(*.f64 x y)
55.1%
(log1p.f64 (exp.f64 x))
▶55.0%
(log.f64 #s(literal 2 binary64))
Compiler

Compiled 160 to 122 computations (23.8% saved)

simplify84.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
✓cost-diff-6272
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))
cost-diff0
(*.f64 #s(literal 1/8 binary64) x)
cost-diff0
(log.f64 #s(literal 2 binary64))
✓cost-diff-6272
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
✓cost-diff0
(-.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 x y)
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(log.f64 (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x y))
Rules
565×fma-define
543×fma-neg
105×cancel-sign-sub-inv
78×associate-+l-
74×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024282
147262
292262
3138262
4215262
5332262
6502262
7758262
81084262
91434262
102080262
112411262
122428262
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x y)
x
y
(*.f64 x y)
x
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.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 #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)
Outputs
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x y)
x
y
(*.f64 x y)
x
y
(log.f64 #s(literal 2 binary64))
#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)))
(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 #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)

localize89.0ms (0.7%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 1/8 binary64) x)
accuracy100.0%
(log.f64 #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))
✓accuracy100.0%
(-.f64 #s(literal 1/2 binary64) y)
accuracy100.0%
(log.f64 #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
✓accuracy100.0%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x y))
✓accuracy98.4%
(log.f64 (sqrt.f64 #s(literal 2 binary64)))
Results
60.0ms256×0valid
Compiler

Compiled 89 to 19 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 9.0ms (34.9% of total)
ival-log: 6.0ms (23.3% of total)
ival-add: 4.0ms (15.5% of total)
ival-sub: 3.0ms (11.6% of total)
ival-sqrt: 2.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.2%)

Counts
10 → 97
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (log.f64 (sqrt.f64 #s(literal 2 binary64)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))>
#<alt (+.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 #s(literal 1/8 binary64) x))))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) x)) y))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) x)) y))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) x)) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) y)) x))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) y)) x))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) y)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) 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 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 1/2 binary64)>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) x))))>
Calls

30 calls:

TimeVariablePointExpression
4.0ms
x
@0
(- (* 2 (log (sqrt 2))) (* x y))
2.0ms
y
@0
(* x (- 1/2 y))
2.0ms
y
@0
(- (* 2 (log (sqrt 2))) (* x y))
0.0ms
x
@-inf
(* x (+ 1/2 (* 1/8 x)))
0.0ms
x
@0
(* x (- 1/2 y))

rewrite204.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1246×log1p-expm1-u
324×expm1-log1p-u
175×add-exp-log
174×add-log-exp
174×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024196
1373156
25719156
Stop Event
1×node limit
Counts
10 → 283
Calls
Call 1
Inputs
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(-.f64 #s(literal 1/2 binary64) y)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) 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 #s(literal 1/8 binary64) x))))
Outputs
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64))))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))
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(pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
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(exp.f64 (log.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
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(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
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(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))))))
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(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(log.f64 (exp.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (log.f64 #s(literal 2 binary64)))

simplify256.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
852×fma-neg
324×associate-*r*
306×fma-define
291×sub-neg
280×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067113496
1156112354
2541610897
Stop Event
1×node limit
Counts
380 → 401
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) x)) y))
(*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) x)) y))
(*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) x)) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) y)) x))
(*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) y)) x))
(*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) y)) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 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) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(log.f64 #s(literal 2 binary64))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) x))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64))))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (neg.f64 y)))
(fma.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
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(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 #s(literal 1/16 binary64) x))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64))) x) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 #s(literal 1/16 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))
(pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
(*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 #s(literal 1/16 binary64) x)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 #s(literal 1/16 binary64) x))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 #s(literal 1/16 binary64) x))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 #s(literal 1/16 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
(pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (log.f64 #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (neg.f64 y)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 x (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)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (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)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (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)))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))

eval59.0ms (0.5%)

Compiler

Compiled 6855 to 1372 computations (80% saved)

prune152.0ms (1.2%)

Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New4672469
Fresh022
Picked055
Done033
Total46712479
Accuracy
99.7%
Counts
479 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓92.6%
(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))
✓91.8%
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x y))
✓92.6%
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓86.4%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
✓60.2%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
▶55.0%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
▶45.4%
(+.f64 (log.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
▶82.4%
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))
✓46.2%
(*.f64 x (neg.f64 y))
✓2.3%
(*.f64 x y)
▶55.1%
(log1p.f64 (exp.f64 x))
✓55.0%
(log.f64 #s(literal 2 binary64))
Compiler

Compiled 111 to 86 computations (22.5% saved)

simplify85.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(log.f64 #s(literal 2 binary64))
✓cost-diff0
(log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
cost-diff0
(log.f64 #s(literal 2 binary64))
✓cost-diff6528
(+.f64 (log.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
✓cost-diff12800
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
cost-diff0
(*.f64 #s(literal 1/8 binary64) x)
cost-diff0
(log.f64 #s(literal 2 binary64))
✓cost-diff0
(/.f64 (log.f64 #s(literal 2 binary64)) y)
✓cost-diff64
(*.f64 #s(literal -1 binary64) x)
cost-diff0
(exp.f64 x)
cost-diff0
(log1p.f64 (exp.f64 x))
Rules
525×fma-neg
519×distribute-lft-neg-in
473×distribute-rgt-neg-in
385×cancel-sign-sub-inv
370×fma-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
031494
166446
2136446
3263440
4477428
51017416
62814416
76388416
Stop Event
1×node limit
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))
y
(+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) 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)) (exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(*.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 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
Outputs
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x))
(*.f64 y (-.f64 (fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x))
(*.f64 y (fma.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(fma.f64 x (-.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 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)))
y
(+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))
(fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)
(-.f64 (fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
#s(literal -1 binary64)
x
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.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) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)
(*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))
(*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
(*.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)))
(+.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)) (exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(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)
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(*.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 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)

localize132.0ms (1.1%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(log.f64 #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 (log.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
accuracy100.0%
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
✓accuracy96.6%
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
✓accuracy93.6%
(log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))
✓accuracy99.8%
(/.f64 (log.f64 #s(literal 2 binary64)) y)
✓accuracy99.5%
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))
✓accuracy98.2%
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)
accuracy100.0%
(exp.f64 x)
accuracy99.6%
(log1p.f64 (exp.f64 x))
Results
46.0ms136×0invalid
38.0ms120×0valid
Compiler

Compiled 151 to 26 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 12.0ms (30.7% of total)
ival-add: 6.0ms (15.3% of total)
ival-log: 6.0ms (15.3% of total)
ival-exp: 5.0ms (12.8% of total)
ival-div: 4.0ms (10.2% of total)
ival-log1p: 3.0ms (7.7% of total)
ival-sub: 1.0ms (2.6% of total)
const: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series134.0ms (1.1%)

Counts
9 → 129
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) y)>
#<alt (exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))>
#<alt (log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))>
#<alt (/.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 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))>
Outputs
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) y)))))>
#<alt (+.f64 (log.f64 x) (log.f64 (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 (log.f64 x) (log.f64 (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 (log.f64 x) (log.f64 (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 (log.f64 x) (log.f64 (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (log.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -2 binary64) y))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -8/3 binary64) y) #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (-.f64 (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))) y))))>
#<alt (-.f64 (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) y))) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))>
#<alt (-.f64 (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (log.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))) y))))>
#<alt (+.f64 (log.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))>
#<alt (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))>
#<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 (*.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 (log.f64 #s(literal 2 binary64)) (+.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 (log.f64 #s(literal 2 binary64)) (+.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 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (*.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 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (*.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 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) 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 #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 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) x))))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) x))))>
Calls

42 calls:

TimeVariablePointExpression
47.0ms
x
@inf
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
18.0ms
x
@-inf
(log (* x (- 1/2 y)))
17.0ms
x
@0
(log (* x (- 1/2 y)))
15.0ms
y
@0
(/ (log 2) y)
9.0ms
x
@inf
(log (* x (- 1/2 y)))

rewrite226.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
401×log1p-expm1-u
223×expm1-log1p-u
216×add-exp-log
216×add-cube-cbrt
215×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029230
1468199
27953199
Stop Event
1×node limit
Counts
9 → 284
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) x)
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 x #s(literal 1/2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))
Outputs
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 x)
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(*.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) y))
(*.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) y)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (log.f64 #s(literal 2 binary64)) (sqrt.f64 y)))
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(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y) #s(literal 2 binary64)))) (-.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (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))) y) (fma.f64 x x (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y) (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y) #s(literal 2 binary64))) y) (-.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
(pow.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (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 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 y (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
(fma.f64 y x (*.f64 y (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))

simplify240.0ms (2%)

Algorithm
1×egg-herbie
Rules
768×fma-neg
395×associate-*r*
385×associate-*l*
383×fma-define
255×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074614673
1177913840
2644113838
Stop Event
1×node limit
Counts
413 → 452
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) y)))))
(+.f64 (log.f64 x) (log.f64 (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log.f64 (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -2 binary64) y))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -8/3 binary64) y) #s(literal 2 binary64))) #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))
(-.f64 (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))) y))))
(-.f64 (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) y))) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(-.f64 (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))) y))))
(+.f64 (log.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))) y))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.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 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.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 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x 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 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (cbrt.f64 y)))
(pow.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x) #s(literal -1 binary64))
(neg.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 x 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 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (*.f64 y (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
(+.f64 (*.f64 y (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)) (*.f64 x y))
(+.f64 (*.f64 y (+.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y))) (*.f64 y (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 x y))))
(+.f64 (*.f64 (+.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y)) y) (*.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) y))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 y (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (*.f64 (*.f64 y (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)) (*.f64 y (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y))) (*.f64 (*.f64 x y) (*.f64 y (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 y (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)) (*.f64 y (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))) (-.f64 (*.f64 x y) (*.f64 y (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (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)))) (fma.f64 x x (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y) (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y) #s(literal 2 binary64)))) (-.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (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))) y) (fma.f64 x x (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y) (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y) #s(literal 2 binary64))) y) (-.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
(pow.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (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 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 y (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
(fma.f64 y x (*.f64 y (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
Outputs
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (neg.f64 x)))
(*.f64 y (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (neg.f64 x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (neg.f64 x)))
(*.f64 y (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (neg.f64 x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (neg.f64 x)))
(*.f64 y (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (neg.f64 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 -1/2 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 y) (+.f64 x (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)))
(*.f64 y (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 y) (+.f64 x (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)))
(*.f64 y (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 y) (+.f64 x (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)))
(*.f64 y (neg.f64 (fma.f64 (/.f64 x y) #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) 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 #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 #s(literal 1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(*.f64 x (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(*.f64 x (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(*.f64 x (+.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(*.f64 x (neg.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(*.f64 x (neg.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(*.f64 x (neg.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(*.f64 y (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y))))
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(*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y))))))
(*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y))) #s(literal 3 binary64)))
(*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)) #s(literal 3 binary64))))
(*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))))
(*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
(exp.f64 (log.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))))
(*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))) #s(literal 1 binary64)))
(*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
(fma.f64 x y (*.f64 y (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
(*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
(fma.f64 y x (*.f64 y (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))
(*.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) y)))

eval83.0ms (0.7%)

Compiler

Compiled 10804 to 2277 computations (78.9% saved)

prune102.0ms (0.8%)

Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New6084612
Fresh000
Picked224
Done178
Total61113624
Accuracy
99.7%
Counts
624 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓92.6%
(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))
✓91.8%
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x y))
✓92.6%
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓60.2%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
✓55.0%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
25.9%
(+.f64 (log.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
17.6%
(+.f64 (log.f64 #s(literal 2 binary64)) (exp.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
59.3%
(*.f64 y (+.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))
✓46.2%
(*.f64 x (neg.f64 y))
✓2.3%
(*.f64 x y)
54.2%
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
✓55.1%
(log1p.f64 (exp.f64 x))
✓55.0%
(log.f64 #s(literal 2 binary64))
Compiler

Compiled 295 to 153 computations (48.1% saved)

regimes24.0ms (0.2%)

Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 x (neg.f64 y))
(log.f64 #s(literal 2 binary64))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(+.f64 (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 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
(*.f64 y (+.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (exp.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
Calls

3 calls:

9.0ms
y
7.0ms
x
7.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes18.0ms (0.2%)

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

3 calls:

7.0ms
y
5.0ms
x
5.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes15.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 x (neg.f64 y))
(log.f64 #s(literal 2 binary64))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(+.f64 (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 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
(*.f64 y (+.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))
Outputs
(*.f64 x (neg.f64 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
92.6%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 x (neg.f64 y))
(log.f64 #s(literal 2 binary64))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
Outputs
(*.f64 x (neg.f64 y))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 x (neg.f64 y))
(log.f64 #s(literal 2 binary64))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
Calls

2 calls:

6.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
74.4%3y
81.1%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 x (neg.f64 y))
(log.f64 #s(literal 2 binary64))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
Outputs
(*.f64 x (neg.f64 y))
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
81.1%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
80.9%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 x (neg.f64 y))
Outputs
(*.f64 x (neg.f64 y))
Calls

2 calls:

8.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
46.2%1y
46.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

2.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
2.3%1x
2.3%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch50.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
48.0ms
-453547654696.95056
-36901.02701298917
Results
36.0ms71×1valid
6.0ms73×0valid
Compiler

Compiled 214 to 165 computations (22.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-log: 13.0ms (61% of total)
ival-exp: 2.0ms (9.4% of total)
ival-mult: 2.0ms (9.4% of total)
ival-add: 1.0ms (4.7% of total)
ival-sub: 1.0ms (4.7% of total)
backward-pass: 1.0ms (4.7% of total)
const: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
28.0ms
-453547654696.95056
-36901.02701298917
Results
17.0ms64×1valid
6.0ms80×0valid
Compiler

Compiled 178 to 138 computations (22.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-log: 11.0ms (60.6% of total)
ival-exp: 2.0ms (11% of total)
ival-mult: 2.0ms (11% of total)
ival-add: 1.0ms (5.5% of total)
ival-sub: 1.0ms (5.5% of total)
backward-pass: 1.0ms (5.5% of total)
const: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
-453547654696.95056
-36901.02701298917
Results
19.0ms71×1valid
6.0ms73×0valid
Compiler

Compiled 160 to 120 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log: 12.0ms (62.8% of total)
ival-exp: 2.0ms (10.5% of total)
ival-mult: 2.0ms (10.5% of total)
ival-add: 1.0ms (5.2% of total)
ival-sub: 1.0ms (5.2% of total)
backward-pass: 1.0ms (5.2% of total)
const: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-6.03781203802266e-8
-8.201773950851466e-12
Results
10.0ms128×0valid
Compiler

Compiled 144 to 116 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 2.0ms (31.3% of total)
ival-sub: 1.0ms (15.6% of total)
ival-exp: 1.0ms (15.6% of total)
ival-log: 1.0ms (15.6% of total)
ival-mult: 1.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-6.03781203802266e-8
-8.201773950851466e-12
Results
9.0ms128×0valid
Compiler

Compiled 128 to 100 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 1.0ms (16.5% of total)
ival-exp: 1.0ms (16.5% of total)
ival-add: 1.0ms (16.5% of total)
ival-log: 1.0ms (16.5% of total)
ival-mult: 1.0ms (16.5% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-6.03781203802266e-8
-8.201773950851466e-12
Results
10.0ms128×0valid
Compiler

Compiled 112 to 92 computations (17.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 2.0ms (32.2% of total)
ival-sub: 1.0ms (16.1% of total)
ival-add: 1.0ms (16.1% of total)
ival-log: 1.0ms (16.1% of total)
ival-mult: 1.0ms (16.1% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
12×+-commutative
9×*-commutative
7×sub-neg
3×1-exp
3×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052399
182399
293399
398399
4100399
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -38000 binary64)) (*.f64 x (neg.f64 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 -38000 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 -38000 binary64)) (*.f64 x (neg.f64 y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y)))
(if (<=.f64 x #s(literal -3929008913747545/302231454903657293676544 binary64)) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -2568967366681087/75557863725914323419136 binary64)) (*.f64 x (neg.f64 y)) (log1p.f64 (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -3466232109999065/309485009821345068724781056 binary64)) (*.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(*.f64 x (neg.f64 y))
(*.f64 x y)
Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -38000 binary64)) (*.f64 x (neg.f64 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 -38000 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 -38000 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 -38000 binary64)) (*.f64 x (neg.f64 y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y)))
(if (<=.f64 x #s(literal -3929008913747545/302231454903657293676544 binary64)) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -2568967366681087/75557863725914323419136 binary64)) (*.f64 x (neg.f64 y)) (log1p.f64 (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -3466232109999065/309485009821345068724781056 binary64)) (*.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(*.f64 x (neg.f64 y))
(*.f64 x y)

soundness1.3s (10.7%)

Rules
902×fma-neg
852×fma-neg
797×log1p-expm1-u
541×fma-define
406×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
088721301
1202519087
2707719081
067113496
1156112354
2541610897
031314
1475250
26926250
071315812
1159414974
2501414909
030234
173226
2129210
3282210
4434210
5622210
6763210
7877210
8905210
9907210
Stop Event
1×fuel
1×saturated
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 297 to 127 computations (57.2% saved)

preprocess76.0ms (0.6%)

Compiler

Compiled 296 to 136 computations (54.1% saved)

end0.0ms (0%)

Profiling

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