Logistic regression 2

Time bar (total: 12.0s)

analyze150.0ms (1.3%)

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: 99.0ms
ival-exp: 46.0ms (46.3% of total)
ival-sub: 22.0ms (22.2% of total)
ival-add: 11.0ms (11.1% of total)
ival-log: 10.0ms (10.1% of total)
ival-mult: 8.0ms (8.1% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

sample4.3s (36.1%)

Results
2.8s2636×5exit
722.0ms7610×0valid
170.0ms646×1valid
Precisions
Click to see histograms. Total time spent on operations: 2.6s
ival-log: 1.5s (57.8% of total)
ival-exp: 329.0ms (12.4% of total)
ival-add: 228.0ms (8.6% of total)
backward-pass: 210.0ms (7.9% of total)
ival-mult: 175.0ms (6.6% of total)
ival-sub: 148.0ms (5.6% of total)
const: 28.0ms (1.1% of total)
Bogosity

preprocess70.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
188×fma-define
147×fmm-def
44×cancel-sign-sub-inv
36×sub-neg
32×distribute-rgt-in
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)))

explain148.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
00-0-x
00-0-(*.f64 x y)
00-0-(exp.f64 x)
00-0-#s(literal 1 binary64)
00-0-y
00-0-(+.f64 #s(literal 1 binary64) (exp.f64 x))
00-0-(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
74.0ms150×2valid
31.0ms344×0valid
6.0ms18×1valid
Compiler

Compiled 69 to 26 computations (62.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-log: 34.0ms (44.5% of total)
backward-pass: 15.0ms (19.6% of total)
ival-exp: 11.0ms (14.4% of total)
ival-mult: 6.0ms (7.8% of total)
ival-add: 5.0ms (6.5% of total)
ival-sub: 5.0ms (6.5% of total)
const: 1.0ms (1.3% of total)

eval0.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

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

Compiled 9 to 6 computations (33.3% saved)

localize83.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01271
12171
23871
35671
47571
510971
616371
721371
828171
935671
1041071
1142571
Stop Event
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
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
Results
25.0ms66×5exit
17.0ms172×0valid
8.0ms18×2valid
Compiler

Compiled 20 to 7 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
<compiled-spec>: 14.0ms (33.2% of total)
ival-log: 9.0ms (21.4% of total)
backward-pass: 5.0ms (11.9% of total)
ival-sub: 4.0ms (9.5% of total)
ival-mult: 4.0ms (9.5% of total)
ival-exp: 3.0ms (7.1% of total)
ival-add: 2.0ms (4.7% of total)
const: 0.0ms (0% of total)

series61.0ms (0.5%)

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

18 calls:

TimeVariablePointExpression
30.0ms
x
@inf
(log (+ 1 (exp x)))
23.0ms
x
@-inf
(log (+ 1 (exp x)))
3.0ms
y
@0
(- (log (+ 1 (exp x))) (* x y))
0.0ms
x
@0
(log (+ 1 (exp x)))
0.0ms
x
@inf
(- (log (+ 1 (exp x))) (* x y))

rewrite392.0ms (3.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify164.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
948×fmm-def
371×unswap-sqr
310×distribute-lft-neg-in
288×distribute-rgt-neg-in
286×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069410249
1148610049
239769968
Stop Event
1×node limit
Counts
312 → 350
Calls
Call 1
Inputs
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))
(log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
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(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/3 binary64) x)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (cbrt.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (sqrt.f64 (exp.f64 x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (exp.f64 x) (sqrt.f64 (exp.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (sqrt.f64 (exp.f64 x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (log1p.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
Outputs
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))) y))))
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(log1p.f64 (exp.f64 x))
(*.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
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(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 x y)

eval44.0ms (0.4%)

Compiler

Compiled 6419 to 1088 computations (83.1% saved)

prune49.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3437350
Fresh000
Picked011
Done000
Total3438351
Accuracy
99.9%
Counts
351 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶83.1%
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y))
79.2%
(-.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.f64 x y))
✓99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶91.6%
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
78.4%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
▶83.1%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
▶48.9%
(*.f64 (neg.f64 x) y)
▶99.2%
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
Compiler

Compiled 163 to 118 computations (27.6% saved)

localize519.0ms (4.3%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6144
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y))
cost-diff0
(*.f64 x y)
✓cost-diff0
(*.f64 #s(literal 1/2 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-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 x)
✓cost-diff0
(*.f64 (neg.f64 x) y)
cost-diff0
(log1p.f64 (exp.f64 x))
✓cost-diff0
(/.f64 (log1p.f64 (exp.f64 x)) x)
✓cost-diff0
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
✓cost-diff128
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(log.f64 #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
✓accuracy100.0%
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y))
✓accuracy100.0%
(-.f64 #s(literal 1/2 binary64) y)
✓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) y)))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal 1/2 binary64) 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 (neg.f64 x) y)
✓accuracy100.0%
(neg.f64 x)
accuracy100.0%
(exp.f64 x)
✓accuracy99.9%
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
✓accuracy99.8%
(/.f64 (log1p.f64 (exp.f64 x)) x)
accuracy99.2%
(log1p.f64 (exp.f64 x))
Rules
1022×fma-define
987×fmm-def
590×associate-*r/
498×associate-*l/
394×times-frac
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
028361
157349
288349
3152349
4235346
5354340
6682340
71212340
82712340
94102340
104556340
114919340
125019340
135045340
146330340
156930340
167734340
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
x
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
y
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
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 #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 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 x y)
y
Outputs
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(-.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64)) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
x
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
y
(*.f64 (neg.f64 x) y)
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(neg.f64 x)
x
y
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(log1p.f64 #s(literal 1 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 1 binary64)
(*.f64 x y)
x
y
(+.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 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(*.f64 x y)
y
Results
131.0ms75×5exit
123.0ms172×0valid
12.0ms9×3valid
Compiler

Compiled 103 to 23 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-log: 56.0ms (40.4% of total)
<compiled-spec>: 21.0ms (15.1% of total)
backward-pass: 21.0ms (15.1% of total)
ival-mult: 13.0ms (9.4% of total)
ival-sub: 8.0ms (5.8% of total)
ival-exp: 7.0ms (5% of total)
ival-add: 7.0ms (5% of total)
ival-div: 3.0ms (2.2% of total)
ival-neg: 2.0ms (1.4% of total)
const: 1.0ms (0.7% of total)

series38.0ms (0.3%)

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

57 calls:

TimeVariablePointExpression
9.0ms
x
@inf
(/ (log (+ 1 (exp x))) x)
5.0ms
x
@-inf
(/ (log (+ 1 (exp x))) x)
3.0ms
y
@0
(* x (- (/ (log (+ 1 (exp x))) x) y))
3.0ms
x
@0
(- (log (+ 1 1)) (* x y))
1.0ms
y
@0
(- (log (+ 1 1)) (* x y))

rewrite379.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
784×log1p-expm1-u
209×expm1-log1p-u
206×add-cube-cbrt
205×add-exp-log
204×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028265
1449245
26935245
Stop Event
1×node limit
Counts
14 → 454
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (exp.f64 x)) x)
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(neg.f64 x)
(*.f64 (neg.f64 x) y)
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(log1p.f64 #s(literal 1 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)))
(log.f64 #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) y)
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (exp.f64 x)) x))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 x)))
(pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (log1p.f64 (exp.f64 x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) x))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log1p.f64 (exp.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 (log1p.f64 (exp.f64 x)) x)) (*.f64 x y))
(+.f64 (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) x) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(pow.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))) #s(literal 3 binary64))
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(+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) (/.f64 (log1p.f64 (exp.f64 x)) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) (sqrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y)))
(pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(exp.f64 (log.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 1 binary64)))
(fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (neg.f64 y))
(fma.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (neg.f64 y))

simplify399.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
666×associate-*l*
590×fma-define
575×associate-*r*
307×times-frac
288×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087421892
1198220616
Stop Event
1×node limit
Counts
652 → 629
Calls
Call 1
Inputs
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.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))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #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 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)))))
#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)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))))
(log.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1/2 binary64) y))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 1/2 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) y) (log.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (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) y)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 1/2 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) y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1/2 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) y)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x #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 #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 x #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 #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) (+.f64 (pow.f64 (*.f64 x #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 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #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 #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #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 #s(literal 1/2 binary64)) #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 #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x #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 #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(log.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y))
(+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) (/.f64 (log1p.f64 (exp.f64 x)) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) (sqrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y)))
(pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(exp.f64 (log.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 1 binary64)))
(fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (neg.f64 y))
(fma.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (neg.f64 y))
Outputs
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (log1p.f64 #s(literal 1 binary64))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) x)
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(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y)))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)))
(pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 1 binary64))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 3 binary64))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(pow.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 2 binary64))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(log.f64 (exp.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) #s(literal 3 binary64)))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(exp.f64 (log.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) x) (neg.f64 y))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (neg.f64 y))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(fma.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (neg.f64 y))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)

eval103.0ms (0.9%)

Compiler

Compiled 12305 to 2617 computations (78.7% saved)

prune103.0ms (0.9%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New8099818
Fresh022
Picked235
Done101
Total81214826
Accuracy
99.9%
Counts
826 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.2%
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
✓83.1%
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y))
65.9%
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (expm1.f64 (log1p.f64 (*.f64 x y))))
79.2%
(-.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.f64 x y))
✓91.6%
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
▶78.4%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
51.2%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 y #s(literal 1/2 binary64))))))))
52.3%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
✓48.9%
(*.f64 (neg.f64 x) y)
▶91.6%
(*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
33.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)))
▶2.3%
(*.f64 x y)
▶52.6%
(log1p.f64 (exp.f64 x))
▶51.5%
(log1p.f64 #s(literal 1 binary64))
Compiler

Compiled 272 to 211 computations (22.4% saved)

localize549.0ms (4.6%)

Algorithm
1×egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 x)
cost-diff0
(log1p.f64 (exp.f64 x))
✓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-diff0
(log1p.f64 #s(literal 1 binary64))
cost-diff0
(*.f64 x y)
✓cost-diff-6208
(*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
cost-diff0
(log1p.f64 #s(literal 1 binary64))
✓cost-diff0
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
✓cost-diff0
(-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)
accuracy100.0%
(exp.f64 x)
accuracy99.2%
(log1p.f64 (exp.f64 x))
✓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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
✓accuracy100.0%
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))
accuracy100.0%
(log1p.f64 #s(literal 1 binary64))
accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)
accuracy100.0%
(log1p.f64 #s(literal 1 binary64))
✓accuracy99.9%
(*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
✓accuracy99.8%
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
Rules
2651×fmm-def
432×distribute-rgt-in
393×unsub-neg
390×distribute-lft-in
353×div-sub
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
025279
145259
280259
3165259
4301256
5518250
6912250
71773250
83984250
95261250
105960250
116464250
126683250
136768250
147426250
157674250
167776250
177814250
187858250
197858250
207858250
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
x
(-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(log1p.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
y
(*.f64 x y)
x
y
(log1p.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
(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
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
Outputs
(*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(-.f64 (*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 x y))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
x
(-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(log1p.f64 #s(literal 1 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 1 binary64)
y
(*.f64 x y)
x
y
(log1p.f64 #s(literal 1 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 1 binary64)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)) (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 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)))
x
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y))
(+.f64 #s(literal 1/2 binary64) (*.f64 #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
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
Results
77.0ms84×5exit
36.0ms172×0valid
Compiler

Compiled 83 to 20 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
backward-pass: 15.0ms (22.2% of total)
<compiled-spec>: 15.0ms (22.2% of total)
ival-log: 12.0ms (17.8% of total)
ival-mult: 9.0ms (13.3% of total)
ival-add: 7.0ms (10.4% of total)
ival-div: 3.0ms (4.4% of total)
ival-sub: 3.0ms (4.4% of total)
ival-exp: 2.0ms (3% of total)
const: 1.0ms (1.5% of total)

series48.0ms (0.4%)

Counts
8 → 124
Calls
Call 1
Inputs
#<alt (/.f64 (log1p.f64 #s(literal 1 binary64)) x)>
#<alt (*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))>
#<alt (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)>
#<alt (*.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 #s(literal 1/8 binary64) x)) y)))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)>
Outputs
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)>
#<alt (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)>
#<alt (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)>
#<alt (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)>
#<alt (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))))>
#<alt (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 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (+.f64 (*.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 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.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 y x)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.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))) 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 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) 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 (*.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 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 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 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)))))>
#<alt (-.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.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 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))))>
Calls

36 calls:

TimeVariablePointExpression
31.0ms
x
@0
(/ (log (+ 1 1)) x)
4.0ms
x
@inf
(/ (log (+ 1 1)) x)
1.0ms
x
@0
(* x (- (+ 1/2 (* 1/8 x)) y))
1.0ms
x
@inf
(* x (- (+ 1/2 (* 1/8 x)) y))
1.0ms
x
@-inf
(* x (- (+ 1/2 (* 1/8 x)) y))

rewrite169.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1049×log1p-expm1-u
1049×expm1-log1p-u
133×add-cube-cbrt
131×add-exp-log
131×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022187
1292171
24378171
Stop Event
1×node limit
Counts
8 → 225
Calls
Call 1
Inputs
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
(-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)
(*.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 #s(literal 1/8 binary64) x)) y)))
(log.f64 #s(literal 2 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(*.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) x))
(*.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (log.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) x))
(*.f64 (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (cbrt.f64 x)))
(pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)))
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(exp.f64 (log.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)))
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(pow.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 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 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 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 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(fma.f64 #s(literal 1 binary64) (*.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 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 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 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (*.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 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (log.f64 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 #s(literal 2 binary64))))
(log1p.f64 #s(literal 1 binary64))
(exp.f64 (log.f64 (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/8 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (+.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))
(+.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (neg.f64 y))
(+.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (sqrt.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (neg.f64 y)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (neg.f64 y)))
(pow.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.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)) y))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(exp.f64 (log.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (neg.f64 y))
(fma.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))) (neg.f64 y))
(fma.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))) (neg.f64 y))

simplify178.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
494×distribute-lft-neg-in
464×distribute-rgt-neg-in
273×associate-*r*
261×sub-neg
255×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057011943
1130511413
2507911392
Stop Event
1×node limit
Counts
349 → 349
Calls
Call 1
Inputs
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(*.f64 #s(literal -1 binary64) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(*.f64 #s(literal -1 binary64) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
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(expm1.f64 (log1p.f64 (log.f64 #s(literal 2 binary64))))
(log1p.f64 #s(literal 1 binary64))
(exp.f64 (log.f64 (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/8 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (+.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))
(+.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (neg.f64 y))
(+.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (sqrt.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (neg.f64 y)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (neg.f64 y)))
(pow.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.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)) y))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(exp.f64 (log.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (neg.f64 y))
(fma.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))) (neg.f64 y))
(fma.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))) (neg.f64 y))
Outputs
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(log.f64 #s(literal 2 binary64))
(log1p.f64 #s(literal 1 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(+.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(+.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(+.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(+.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(+.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(+.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(log.f64 #s(literal 2 binary64))
(log1p.f64 #s(literal 1 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (log1p.f64 #s(literal 1 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (log1p.f64 #s(literal 1 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (log1p.f64 #s(literal 1 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (log1p.f64 #s(literal 1 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (log1p.f64 #s(literal 1 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (log1p.f64 #s(literal 1 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(/.f64 (+.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (neg.f64 y))) x)
(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(/.f64 (+.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (neg.f64 y))) x)
(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(/.f64 (+.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (neg.f64 y))) x)
(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) x)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y)) #s(literal -1 binary64)))
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(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))
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(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
(log.f64 (exp.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(-.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)) y))))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
(exp.f64 (log.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (neg.f64 y))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
(fma.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))) (neg.f64 y))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
(fma.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))) (neg.f64 y))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)

eval73.0ms (0.6%)

Compiler

Compiled 7796 to 1704 computations (78.1% saved)

prune73.0ms (0.6%)

Pruning

16 alts after pruning (9 fresh and 7 done)

PrunedKeptTotal
New5474551
Fresh156
Picked145
Done033
Total54916565
Accuracy
99.9%
Counts
565 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.2%
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
✓83.1%
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y))
▶65.9%
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (expm1.f64 (log1p.f64 (*.f64 x y))))
✓91.6%
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
▶56.6%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
51.2%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 y #s(literal 1/2 binary64))))))))
▶52.3%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
✓48.9%
(*.f64 (neg.f64 x) y)
✓91.6%
(*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
▶91.5%
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
▶33.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)))
✓2.3%
(*.f64 x y)
51.1%
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
56.6%
(log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
✓52.6%
(log1p.f64 (exp.f64 x))
✓51.5%
(log1p.f64 #s(literal 1 binary64))
Compiler

Compiled 272 to 215 computations (21% saved)

localize367.0ms (3.1%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(log.f64 #s(literal 2 binary64))
✓cost-diff6656
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (expm1.f64 (log1p.f64 (*.f64 x y))))
✓cost-diff12800
(expm1.f64 (log1p.f64 (*.f64 x y)))
✓cost-diff-6272
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
✓cost-diff-6272
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))
✓cost-diff0
(*.f64 x #s(literal 1/8 binary64))
cost-diff0
(log.f64 #s(literal 2 binary64))
✓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-diff64
(*.f64 #s(literal -1 binary64) y)
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))
✓cost-diff128
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)))
✓cost-diff128
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y)
✓cost-diff256
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
accuracy100.0%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
✓accuracy100.0%
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (expm1.f64 (log1p.f64 (*.f64 x y))))
✓accuracy98.6%
(expm1.f64 (log1p.f64 (*.f64 x y)))
✓accuracy95.4%
(log1p.f64 (*.f64 x y))
✓accuracy100.0%
(*.f64 x #s(literal 1/8 binary64))
accuracy100.0%
(log.f64 #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))
✓accuracy100.0%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 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)) (*.f64 x #s(literal 1/2 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))
✓accuracy100.0%
(*.f64 #s(literal -1 binary64) y)
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)))
✓accuracy100.0%
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y)
accuracy100.0%
(log.f64 #s(literal 2 binary64))
✓accuracy99.9%
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)))
Rules
637×fmm-def
570×sub-neg
503×unsub-neg
309×+-commutative
298×div-sub
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033456
176402
2142396
3281364
4611360
51724360
63866360
75508360
87318360
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
x
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
y
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 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)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (expm1.f64 (log1p.f64 (*.f64 x y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (*.f64 x y))
(*.f64 x y)
y
Outputs
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
x
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)) (neg.f64 y))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
y
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 1/2 binary64) (neg.f64 y))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
#s(literal -1 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)
(+.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 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 x #s(literal 1/8 binary64)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (expm1.f64 (log1p.f64 (*.f64 x y))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (expm1.f64 (log1p.f64 (*.f64 x y))))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (expm1.f64 (log1p.f64 (*.f64 x y))))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (+.f64 (*.f64 x y) #s(literal 0 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 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(expm1.f64 (log1p.f64 (*.f64 x y)))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(*.f64 x y)
(log1p.f64 (*.f64 x y))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
y
Results
96.0ms103×1valid
63.0ms46×5exit
33.0ms57×0valid
14.0ms50×0invalid
Compiler

Compiled 139 to 28 computations (79.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
<compiled-spec>: 37.0ms (24.9% of total)
ival-mult: 30.0ms (20.2% of total)
ival-log: 22.0ms (14.8% of total)
backward-pass: 21.0ms (14.1% of total)
ival-add: 12.0ms (8.1% of total)
ival-exp: 10.0ms (6.7% of total)
ival-sub: 9.0ms (6.1% of total)
ival-div: 4.0ms (2.7% of total)
const: 2.0ms (1.3% of total)

series19.0ms (0.2%)

Counts
16 → 225
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))>
#<alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))>
#<alt (*.f64 x #s(literal 1/8 binary64))>
#<alt (log1p.f64 (*.f64 x y))>
#<alt (expm1.f64 (log1p.f64 (*.f64 x y)))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (expm1.f64 (log1p.f64 (*.f64 x y))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))>
Outputs
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.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) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.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) x))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 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 (*.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))))>
Calls

66 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* x (+ 1/2 (* -1 y)))
1.0ms
x
@inf
(log (+ 1 (* x y)))
1.0ms
y
@inf
(log (+ 1 (* x y)))
1.0ms
y
@-inf
(log (+ 1 (* x y)))
1.0ms
x
@-inf
(log (+ 1 (* x y)))

rewrite242.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
465×log1p-expm1-u
226×expm1-log1p-u
220×add-cube-cbrt
218×add-exp-log
218×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033308
1534267
27543267
Stop Event
1×node limit
Counts
16 → 457
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)))
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal -1 binary64) y)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))
(*.f64 x #s(literal 1/8 binary64))
(log1p.f64 (*.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (expm1.f64 (log1p.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x (log.f64 #s(literal 2 binary64))))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 x y))
(+.f64 (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) x) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))
(/.f64 (*.f64 x (pow.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 2 binary64)) x) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(pow.f64 (*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))) #s(literal 1 binary64)))
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(+.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x))
(+.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) (fma.f64 y #s(literal 1 binary64) y))
(+.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) y))
(+.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(*.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))
(*.f64 (pow.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))) (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) (pow.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))
(/.f64 (pow.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(pow.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(exp.f64 (log.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64)) y)
(fma.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x) y)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)
(fma.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x)) y)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 y x (*.f64 x y)))
(+.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1 binary64))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 y (-.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 #s(literal 1/4 binary64) (*.f64 y (-.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 y #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x) (pow.f64 (exp.f64 x) y)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x y))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 y)
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
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(pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(-.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 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.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 2 binary64))))
(*.f64 (cbrt.f64 (pow.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) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 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) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 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) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 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) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 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) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 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 #s(literal 1 binary64) (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 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 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 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))

simplify522.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
755×fma-define
537×associate-*r*
449×associate-*l*
246×distribute-rgt-in
221×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0110020631
1258919587
Stop Event
1×node limit
Counts
682 → 724
Calls
Call 1
Inputs
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(*.f64 #s(literal -1 binary64) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(*.f64 #s(literal -1 binary64) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))
(*.f64 #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 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 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
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(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 #s(literal 1 binary64) (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 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 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 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))
Outputs
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 (neg.f64 x) (+.f64 y (neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(*.f64 (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 (neg.f64 x) (+.f64 y (neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(*.f64 (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 (neg.f64 x) (+.f64 y (neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(*.f64 (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x)) (neg.f64 x))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 (neg.f64 y) (+.f64 x (/.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) y)))
(*.f64 (-.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 (neg.f64 y) (+.f64 x (/.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) y)))
(*.f64 (-.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 (neg.f64 y) (+.f64 x (/.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) y)))
(*.f64 (-.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y)) (neg.f64 y))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) x)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))
(*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))
(*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))
(*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) (neg.f64 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 (+.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 (+.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 #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 x y) #s(literal -1/2 binary64))))
(*.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 x y) #s(literal -1/2 binary64))))
(*.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 x y) #s(literal -1/2 binary64))))
(*.f64 y (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) x)))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 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) 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) 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) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 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 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 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 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))))
(log.f64 #s(literal 2 binary64))
(+.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 #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 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 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 x (+.f64 (/.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 x (+.f64 (/.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 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(log.f64 #s(literal 2 binary64))
(+.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 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(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 #s(literal 1/8 binary64) x))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #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 1/2 binary64) x)))
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(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64) (*.f64 x #s(literal -1/16 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 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 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64))) (fma.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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/16 binary64))))
(/.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 (-.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 x #s(literal -1/8 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/64 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 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 (+.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64)))) (+.f64 #s(literal -1/4 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64) (neg.f64 (*.f64 x #s(literal 1/16 binary64)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (neg.f64 (-.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64) (*.f64 x #s(literal -1/16 binary64))))))
(/.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 (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 x #s(literal -1/8 binary64)))))
(/.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)))
(/.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)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) (fma.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))
(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 3 binary64))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 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))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(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)))))
(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)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 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))))
(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))))
(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 binary64) (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 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 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 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))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))

eval159.0ms (1.3%)

Compiler

Compiled 13616 to 2608 computations (80.8% saved)

prune253.0ms (2.1%)

Pruning

23 alts after pruning (13 fresh and 10 done)

PrunedKeptTotal
New8619870
Fresh044
Picked145
Done167
Total86323886
Accuracy
99.9%
Counts
886 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.2%
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
65.5%
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x y))) #s(literal 3 binary64))))
✓65.9%
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (expm1.f64 (log1p.f64 (*.f64 x y))))
65.6%
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x y))))))
33.0%
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
✓91.6%
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓56.6%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
51.2%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 y #s(literal 1/2 binary64))))))))
✓52.3%
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
32.8%
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
32.9%
(*.f64 (neg.f64 y) (+.f64 x (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
✓48.9%
(*.f64 (neg.f64 x) y)
✓91.6%
(*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
✓91.5%
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
33.0%
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
3.0%
(*.f64 x (+.f64 (+.f64 #s(literal 3/2 binary64) y) #s(literal -1 binary64)))
3.0%
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
✓2.3%
(*.f64 x y)
3.5%
(*.f64 x #s(literal 1/2 binary64))
51.1%
(log1p.f64 (+.f64 x #s(literal 1 binary64)))
56.6%
(log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
✓52.6%
(log1p.f64 (exp.f64 x))
✓51.5%
(log1p.f64 #s(literal 1 binary64))
Compiler

Compiled 498 to 276 computations (44.6% saved)

regimes30.0ms (0.3%)

Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 (+.f64 #s(literal 3/2 binary64) y) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (+.f64 x (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
(log1p.f64 #s(literal 1 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 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
(-.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 y #s(literal 1/2 binary64))))))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (expm1.f64 (log1p.f64 (*.f64 x y))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x y))))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x y))) #s(literal 3 binary64))))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

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

Compiled 17 to 12 computations (29.4% saved)

regimes362.0ms (3%)

Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 (+.f64 #s(literal 3/2 binary64) y) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (+.f64 x (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
(log1p.f64 #s(literal 1 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 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
(-.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.f64 x y))
(log1p.f64 (exp.f64 x))
Outputs
(*.f64 (neg.f64 x) y)
(-.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.f64 x y))
Calls

2 calls:

7.0ms
y
7.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
91.6%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
21 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 (+.f64 #s(literal 3/2 binary64) y) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (+.f64 x (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
(log1p.f64 #s(literal 1 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 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
Outputs
(*.f64 (neg.f64 x) y)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
19 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 (+.f64 #s(literal 3/2 binary64) y) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (+.f64 x (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
(log1p.f64 #s(literal 1 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 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal 2 binary64))) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
Outputs
(*.f64 (neg.f64 x) y)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
15 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 (+.f64 #s(literal 3/2 binary64) y) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (+.f64 x (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
(log1p.f64 #s(literal 1 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 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
Outputs
(*.f64 (neg.f64 x) y)
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
13 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 (+.f64 #s(literal 3/2 binary64) y) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (+.f64 x (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
(log1p.f64 #s(literal 1 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 (neg.f64 x) y)
(log1p.f64 #s(literal 1 binary64))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
Calls

2 calls:

5.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
73.0%3y
86.9%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 (+.f64 #s(literal 3/2 binary64) y) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (+.f64 x (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
Outputs
(*.f64 (neg.f64 x) y)
Calls

2 calls:

4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
48.9%1y
48.9%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -1.1b remaining (-1.8%)

Threshold costs -1.1b (-1.8%)

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

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
3.5%1x
3.5%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch34.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
-2.211152112019135e+40
-1.4609623233406167e+29
Results
19.0ms72×1valid
6.0ms88×0valid
Compiler

Compiled 256 to 182 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log: 11.0ms (57.6% 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)

bsearch34.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
32.0ms
-2.211152112019135e+40
-1.4609623233406167e+29
Results
20.0ms78×1valid
6.0ms82×0valid
Compiler

Compiled 236 to 182 computations (22.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log: 11.0ms (58.9% of total)
ival-exp: 2.0ms (10.7% of total)
ival-mult: 2.0ms (10.7% of total)
ival-add: 1.0ms (5.4% of total)
ival-sub: 1.0ms (5.4% of total)
backward-pass: 1.0ms (5.4% of total)
const: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-8.879723547065039
-0.08816132203556738
Results
9.0ms112×0valid
Compiler

Compiled 156 to 117 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 2.0ms (35.3% of total)
ival-sub: 1.0ms (17.6% of total)
ival-add: 1.0ms (17.6% of total)
ival-log: 1.0ms (17.6% of total)
ival-mult: 1.0ms (17.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-8.879723547065039
-0.08816132203556738
Results
9.0ms112×0valid
Compiler

Compiled 142 to 110 computations (22.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 2.0ms (32.8% of total)
ival-sub: 1.0ms (16.4% of total)
ival-exp: 1.0ms (16.4% of total)
ival-log: 1.0ms (16.4% of total)
ival-mult: 1.0ms (16.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
-2.211152112019135e+40
-1.4609623233406167e+29
Results
21.0ms74×1valid
6.0ms86×0valid
Compiler

Compiled 176 to 132 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 10.0ms (50% of total)
ival-exp: 3.0ms (15% of total)
ival-mult: 2.0ms (10% of total)
ival-add: 1.0ms (5% of total)
ival-sub: 1.0ms (5% of total)
backward-pass: 1.0ms (5% of total)
const: 0.0ms (0% of total)

bsearch46.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
3.847548022058841e-65
2.2346374426377375e-62
15.0ms
-9.085008622642744e-54
-1.7051016476529127e-58
Results
34.0ms256×0valid
Compiler

Compiled 232 to 188 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-exp: 5.0ms (33.3% of total)
ival-log: 5.0ms (33.3% of total)
ival-add: 2.0ms (13.3% of total)
ival-mult: 2.0ms (13.3% of total)
ival-sub: 1.0ms (6.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×+-commutative
10×sub-neg
10×*-commutative
10×cancel-sign-sub-inv
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057463
193463
2113463
3118463
4120463
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -147999999999999996469000011776 binary64)) (*.f64 (neg.f64 x) y) (-.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.f64 x y)))
(if (<=.f64 x #s(literal -147999999999999996469000011776 binary64)) (*.f64 (neg.f64 x) y) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) (*.f64 (neg.f64 x) y) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y)))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) (*.f64 (neg.f64 x) y) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -147999999999999996469000011776 binary64)) (*.f64 (neg.f64 x) y) (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y)))
(if (<=.f64 x #s(literal -5693940736102215/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (*.f64 (neg.f64 x) y) (if (<=.f64 x #s(literal 1186868914682491/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (log1p.f64 #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))))
(*.f64 (neg.f64 x) y)
(*.f64 x #s(literal 1/2 binary64))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -147999999999999996469000011776 binary64)) (*.f64 (neg.f64 x) y) (-.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.f64 x y)))
(if (<=.f64 x #s(literal -147999999999999996469000011776 binary64)) (*.f64 y (neg.f64 x)) (-.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 x y)))
(if (<=.f64 x #s(literal -147999999999999996469000011776 binary64)) (*.f64 x (neg.f64 y)) (-.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 x y)))
(if (<=.f64 x #s(literal -147999999999999996469000011776 binary64)) (*.f64 (neg.f64 x) y) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))))
(if (<=.f64 x #s(literal -147999999999999996469000011776 binary64)) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))))
(if (<=.f64 x #s(literal -147999999999999996469000011776 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 -3039929748475085/2251799813685248 binary64)) (*.f64 (neg.f64 x) y) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y)))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) (*.f64 y (neg.f64 x)) (-.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 x y)))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) (*.f64 x (neg.f64 y)) (-.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 x y)))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) (*.f64 (neg.f64 x) y) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 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 -147999999999999996469000011776 binary64)) (*.f64 (neg.f64 x) y) (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y)))
(if (<=.f64 x #s(literal -147999999999999996469000011776 binary64)) (*.f64 y (neg.f64 x)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y)))
(if (<=.f64 x #s(literal -147999999999999996469000011776 binary64)) (*.f64 x (neg.f64 y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y)))
(if (<=.f64 x #s(literal -5693940736102215/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (*.f64 (neg.f64 x) y) (if (<=.f64 x #s(literal 1186868914682491/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (log1p.f64 #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))))
(if (<=.f64 x #s(literal -5693940736102215/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal 1186868914682491/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (log1p.f64 #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))))
(if (<=.f64 x #s(literal -5693940736102215/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal 1186868914682491/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (log1p.f64 #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))

soundness1.5s (12.3%)

Rules
948×fmm-def
755×fma-define
666×associate-*l*
590×fma-define
575×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0110020631
1258919587
033308
1534267
27543267
030234
173226
2129210
3282210
4434210
5622210
6763210
7877210
8905210
9907210
087421892
1198220616
069410249
1148610049
239769968
Stop Event
1×fuel
1×node limit
1×node limit
1×saturated
1×node limit
1×node limit
Compiler

Compiled 258 to 123 computations (52.3% saved)

preprocess204.0ms (1.7%)

Compiler

Compiled 332 to 146 computations (56% saved)

end0.0ms (0%)

Profiling

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