Hyperbolic arc-(co)secant

Time bar (total: 7.4s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (47.4% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample974.0ms (13.1%)

Results
706.0ms8256×0valid
1.0ms20×0invalid
Precisions
Click to see histograms. Total time spent on operations: 517.0ms
ival-div: 141.0ms (27.3% of total)
ival-log: 99.0ms (19.1% of total)
ival-sub: 77.0ms (14.9% of total)
ival-sqrt: 76.0ms (14.7% of total)
ival-mult: 62.0ms (12% of total)
ival-add: 44.0ms (8.5% of total)
const: 16.0ms (3.1% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess144.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
834×fma-define
504×fma-neg
455×associate-+r+
430×distribute-lft-out--
403×unsub-neg
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
023224
150208
284208
3170208
4305196
5512196
6789172
71360172
82100172
92974172
105680172
117159172
Stop Event
1×node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))
(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x)))))
Outputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) x))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) x))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x))))
(log.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(log.f64 (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) x))
(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x)))))
(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x)))))
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))))
(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))))
(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) x)))

explain158.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
00-0-x
00-0-(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
00-0-(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
00-0-(*.f64 x x)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 x x))
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Results
103.0ms512×0valid
Compiler

Compiled 122 to 70 computations (42.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-div: 24.0ms (31.8% of total)
ival-sqrt: 20.0ms (26.5% of total)
ival-sub: 14.0ms (18.5% of total)
ival-log: 6.0ms (7.9% of total)
ival-add: 5.0ms (6.6% of total)
ival-mult: 4.0ms (5.3% of total)
const: 3.0ms (4% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 38 to 28 computations (26.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize282.0ms (3.8%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff128
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
✓cost-diff128
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
✓accuracy99.6%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Rules
578×distribute-lft-out
553×unsub-neg
492×fma-neg
399×distribute-rgt-in
393×sub-neg
Iterations

Useful iterations: 14 (0.0ms)

IterNodesCost
014200
125200
232200
344200
461200
589200
6136200
7358200
8744200
91584200
102975200
114718200
125723194
136080194
146415182
156674182
166755182
176966182
187886182
Stop Event
1×node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
Results
57.0ms256×0valid
Compiler

Compiled 54 to 30 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-sqrt: 15.0ms (35.7% of total)
ival-div: 11.0ms (26.2% of total)
ival-sub: 7.0ms (16.6% of total)
ival-log: 3.0ms (7.1% of total)
ival-add: 3.0ms (7.1% of total)
ival-mult: 2.0ms (4.8% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
6 → 60
Calls
Call 1
Inputs
#<alt (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 x x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)>
Outputs
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/32 binary64))) #s(literal 1/4 binary64)))))>
#<alt (log.f64 (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x)))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) x)))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))) x)>
#<alt (sqrt.f64 #s(literal -1 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1 binary64)) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) x)) #s(literal 1 binary64)) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))>
#<alt (*.f64 x (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))) x)>
#<alt (sqrt.f64 #s(literal -1 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))))>
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@0
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
1.0ms
x
@inf
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
1.0ms
x
@-inf
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
1.0ms
x
@0
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
1.0ms
x
@-inf
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

rewrite303.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
1034×log1p-expm1-u
1034×expm1-log1p-u
404×fma-define
203×fma-neg
161×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014167
1205161
22952161
Stop Event
1×node limit
Counts
6 → 240
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
Outputs
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) (log.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))) #s(literal 1 binary64))
(-.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (log.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (+.f64 (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 x (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 x (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(-.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 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 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 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 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) #s(literal 1 binary64)))

simplify175.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
531×fma-neg
346×distribute-lft-neg-in
308×distribute-rgt-neg-in
236×sub-neg
228×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062412690
1141211825
2472411710
Stop Event
1×node limit
Counts
300 → 440
Calls
Call 1
Inputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/32 binary64))) #s(literal 1/4 binary64)))))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x)))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) x)))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))) x)
(sqrt.f64 #s(literal -1 binary64))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))
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(hypot.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 x (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(-.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 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 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 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 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) #s(literal 1 binary64)))
Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (log.f64 x)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -3/32 binary64) #s(literal -1/4 binary64))) (log.f64 x)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -3/32 binary64) #s(literal -1/4 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/32 binary64))) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -3/32 binary64)) #s(literal -1/4 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/96 binary64) #s(literal -3/32 binary64)) #s(literal -1/4 binary64))) (log.f64 x)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/96 binary64) #s(literal -3/32 binary64)) #s(literal -1/4 binary64))))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
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(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)

eval130.0ms (1.8%)

Compiler

Compiled 8860 to 7138 computations (19.4% saved)

prune69.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4364440
Fresh000
Picked011
Done000
Total4365441
Accuracy
100.0%
Counts
441 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.7%
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
▶99.6%
(log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
▶99.1%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) x))
▶98.6%
(log.f64 (/.f64 #s(literal 2 binary64) x))
✓99.6%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Compiler

Compiled 51 to 41 computations (19.6% saved)

localize304.0ms (4.1%)

Algorithm
4×egg-herbie
Localize:

Found 26 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 x)
✓cost-diff0
(log.f64 #s(literal 2 binary64))
✓cost-diff0
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff6400
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
✓cost-diff6528
(log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
✓cost-diff-6272
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) x)
✓cost-diff-6272
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) x))
✓cost-diff0
(pow.f64 x #s(literal 2 binary64))
✓cost-diff0
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 #s(literal 2 binary64) x)
✓cost-diff0
(log.f64 (/.f64 #s(literal 2 binary64) x))
✓accuracy100.0%
(log.f64 x)
✓accuracy100.0%
(log.f64 #s(literal 2 binary64))
✓accuracy99.7%
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
✓accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
✓accuracy100.0%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓accuracy99.6%
(log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) x)
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓accuracy99.6%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) x))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
✓accuracy99.6%
(log.f64 (/.f64 #s(literal 2 binary64) x))
Rules
899×fma-define
872×sub-neg
381×associate--r+
364×associate--l-
336×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
013120
116108
223108
327108
017179
130179
252175
3115169
4195169
5403169
6813169
71545169
82252169
93328169
105406169
01036
11236
21736
32536
43436
55136
68936
712936
817936
921436
1024036
1124236
Stop Event
1×saturated
1×node limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 x)
x
Outputs
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 x)
x
Call 2
Inputs
(log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)
Outputs
(log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x) #s(literal 0 binary64)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)
Call 3
Inputs
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) x))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) x)
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal -1/2 binary64)
Outputs
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) x))
(log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal -1/2 binary64)
Call 4
Inputs
(log.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
Outputs
(log.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
Results
143.0ms256×0valid
Compiler

Compiled 115 to 90 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-pow: 29.0ms (26.8% of total)
ival-div: 15.0ms (13.8% of total)
ival-log: 14.0ms (12.9% of total)
ival-mult: 11.0ms (10.2% of total)
ival-add: 9.0ms (8.3% of total)
ival-sub: 8.0ms (7.4% of total)
ival-sqrt: 8.0ms (7.4% of total)
ival-fma: 6.0ms (5.5% of total)
const: 5.0ms (4.6% of total)
ival-log1p: 3.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

series141.0ms (1.9%)

Counts
14 → 124
Calls
Call 1
Inputs
#<alt (log.f64 (/.f64 #s(literal 2 binary64) x))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) x))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) x)>
#<alt (log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (log.f64 x)>
#<alt (pow.f64 x #s(literal 2 binary64))>
Outputs
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/32 binary64))) #s(literal 1/4 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/32 binary64))) #s(literal 1/4 binary64)))))>
#<alt (log.f64 (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x)))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) x)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))>
#<alt (*.f64 x (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x))) x)))))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x)>
#<alt (-.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1 binary64)) x))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) x)) #s(literal 1 binary64)) x))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))>
#<alt (*.f64 x (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))>
#<alt (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (-.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (-.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (-.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
Calls

39 calls:

TimeVariablePointExpression
28.0ms
x
@0
(log (/ 2 x))
26.0ms
x
@-inf
(- (log 2) (log x))
19.0ms
x
@-inf
(log (/ 2 x))
17.0ms
x
@0
(- (log 2) (log x))
13.0ms
x
@0
(log x)

rewrite356.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
1204×log1p-expm1-u
682×expm1-log1p-u
166×add-exp-log
164×pow1
163×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027301
1390285
25193285
Stop Event
1×node limit
Counts
14 → 376
Calls
Call 1
Inputs
(log.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) x)
(log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 #s(literal 2 binary64))
(log.f64 x)
(pow.f64 x #s(literal 2 binary64))
Outputs
(+.f64 (log1p.f64 #s(literal 1 binary64)) (neg.f64 (log.f64 x)))
(+.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64) (log.f64 x)))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 x)))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 #s(literal 1 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 x)))
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(-.f64 (/.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) x))))
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(*.f64 #s(literal 1 binary64) (log.f64 x))
(*.f64 (log.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 x)))
(log1p.f64 (-.f64 x #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))

simplify262.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
900×fma-neg
304×associate-*l*
300×associate-*r*
275×fma-define
237×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090515971
1197115134
2666115120
Stop Event
1×node limit
Counts
500 → 598
Calls
Call 1
Inputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/32 binary64))) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/32 binary64))) #s(literal 1/4 binary64)))))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x)))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) x)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x))) x)))))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x)
(-.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) x)) #s(literal 1 binary64)) x))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
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(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (sqrt.f64 (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log1p.f64 #s(literal 1 binary64)) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log1p.f64 #s(literal 1 binary64)) (neg.f64 (log.f64 x))))
(pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))))
(log1p.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 #s(literal 1 binary64)) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (neg.f64 (log.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 #s(literal 1 binary64)))
(*.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (sqrt.f64 (log1p.f64 #s(literal 1 binary64))))
(pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 #s(literal 1 binary64))))
(log1p.f64 #s(literal 1 binary64))
(exp.f64 (log.f64 (log1p.f64 #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (log.f64 (cbrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 x))
(*.f64 (log.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 x)))
(log1p.f64 (-.f64 x #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/32 binary64) #s(literal -1/4 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/32 binary64))) #s(literal 1/4 binary64)))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/192 binary64) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64)))
(-.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (log.f64 x)))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 x) (-.f64 (log.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64))) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (-.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
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(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (log.f64 (cbrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log.f64 x)))
(*.f64 #s(literal 1 binary64) (log.f64 x))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(*.f64 (log.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 3 binary64))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(sqrt.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(fabs.f64 (log.f64 x))
(cbrt.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(expm1.f64 (log1p.f64 (log.f64 x)))
(log1p.f64 (-.f64 x #s(literal 1 binary64)))
(log1p.f64 (+.f64 x #s(literal -1 binary64)))
(log1p.f64 (+.f64 #s(literal -1 binary64) x))
(exp.f64 (log.f64 (log.f64 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))

eval176.0ms (2.4%)

Compiler

Compiled 10422 to 8610 computations (17.4% saved)

prune105.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New6385643
Fresh000
Picked314
Done011
Total6417648
Accuracy
100.0%
Counts
648 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.0%
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
▶99.6%
(log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
▶98.6%
(log1p.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x))
▶99.1%
(log1p.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x))
▶99.1%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x))
✓98.6%
(log.f64 (/.f64 #s(literal 2 binary64) x))
✓99.6%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Compiler

Compiled 123 to 94 computations (23.6% saved)

localize718.0ms (9.7%)

Algorithm
5×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
✓cost-diff-6144
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x)
✓cost-diff-6016
(log1p.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x))
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) x)
✓cost-diff-6272
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x)
✓cost-diff-6272
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
✓cost-diff0
(-.f64 #s(literal 2 binary64) x)
✓cost-diff0
(/.f64 (-.f64 #s(literal 2 binary64) x) x)
✓cost-diff128
(log1p.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(log.f64 (*.f64 x #s(literal 1/2 binary64)))
✓cost-diff0
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff6400
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))
✓cost-diff6528
(log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) x)
✓accuracy100.0%
(*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x)
✓accuracy99.6%
(log1p.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
✓accuracy99.6%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x))
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) x)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 2 binary64) x) x)
✓accuracy99.6%
(log1p.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
✓accuracy100.0%
(log.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓accuracy100.0%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓accuracy99.6%
(log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
Rules
943×fma-neg
861×sub-neg
845×fma-define
786×fma-neg
645×distribute-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016196
131196
252192
3116186
4197186
5401186
6804186
71552186
82258186
93255186
105293186
01047
11547
21747
31947
42447
52847
63347
01057
11851
23451
34845
46545
512045
627745
774545
8171245
9339845
10486945
11551045
12591245
13602545
14613745
15633645
16657145
17679145
18708145
19753645
013135
117123
224123
325123
015153
130141
241141
362141
481141
5104141
6171139
7275131
8690125
92008125
104606125
116466125
127707125
Stop Event
1×node limit
1×saturated
1×node limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(log1p.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x)
(+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
#s(literal 2 binary64)
(*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
x
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
Outputs
(log1p.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x))
(log1p.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))) x))
(log1p.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) x))
(log.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))
(log1p.f64 (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) x)
(+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(-.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) x)))
(+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
x
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
Call 2
Inputs
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x)
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
Outputs
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x))
(log.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x x)
x
#s(literal -1/2 binary64)
Call 3
Inputs
(log1p.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x))
(/.f64 (-.f64 #s(literal 2 binary64) x) x)
(-.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
Outputs
(log1p.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x))
(log1p.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 0 binary64)))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 #s(literal 2 binary64) x) x)
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(-.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
Call 4
Inputs
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
Outputs
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
Call 5
Inputs
(log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal -1 binary64)
Outputs
(log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(log.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x) #s(literal 0 binary64)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal -1 binary64)
Results
212.0ms256×0valid
Compiler

Compiled 175 to 113 computations (35.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-log: 59.0ms (34.7% of total)
ival-mult: 31.0ms (18.2% of total)
ival-sub: 19.0ms (11.2% of total)
ival-div: 17.0ms (10% of total)
ival-add: 12.0ms (7.1% of total)
ival-log1p: 10.0ms (5.9% of total)
ival-sqrt: 9.0ms (5.3% of total)
ival-fma: 7.0ms (4.1% of total)
const: 6.0ms (3.5% of total)
ival-neg: 1.0ms (0.6% of total)
backward-pass: 0.0ms (0% of total)

series133.0ms (1.8%)

Counts
18 → 199
Calls
Call 1
Inputs
#<alt (log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))>
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))>
#<alt (log.f64 (*.f64 x #s(literal 1/2 binary64)))>
#<alt (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (log1p.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x))>
#<alt (/.f64 (-.f64 #s(literal 2 binary64) x) x)>
#<alt (-.f64 #s(literal 2 binary64) x)>
#<alt (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x))>
#<alt (*.f64 (*.f64 x x) #s(literal -1/2 binary64))>
#<alt (*.f64 x x)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))>
#<alt (log1p.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x))>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x)>
Outputs
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/32 binary64))) #s(literal 1/4 binary64)))))>
#<alt (log.f64 (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x)))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) x)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))>
#<alt (*.f64 x (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x))) x)))))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x)>
#<alt (-.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1 binary64)) x))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) x)) #s(literal 1 binary64)) x))) #s(literal 1 binary64))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #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 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/32 binary64))) #s(literal 1/4 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/32 binary64))) #s(literal 1/4 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
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#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)))))>
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#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
Calls

54 calls:

TimeVariablePointExpression
63.0ms
x
@0
(log (* x 1/2))
15.0ms
x
@-inf
(log (* x 1/2))
9.0ms
x
@inf
(log (+ 1 (/ (- 2 x) x)))
7.0ms
x
@-inf
(log (+ 1 (/ (- 2 x) x)))
7.0ms
x
@0
(log (+ 1 (/ (- 2 x) x)))

rewrite151.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
264×log1p-expm1-u
264×expm1-log1p-u
257×pow1
256×add-exp-log
256×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035418
1576387
Stop Event
1×node limit
Counts
18 → 545
Calls
Call 1
Inputs
(log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(log.f64 (*.f64 x #s(literal 1/2 binary64)))
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x #s(literal 1/2 binary64))
(log1p.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x))
(/.f64 (-.f64 #s(literal 2 binary64) x) x)
(-.f64 #s(literal 2 binary64) x)
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(log1p.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x)
(*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
(*.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))) (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))) (sqrt.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))))
(pow.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) (hypot.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
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(*.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cbrt.f64 x)))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64))) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))

simplify324.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
746×fma-neg
371×associate-*l*
351×associate-*r*
288×*-commutative
284×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0108723201
1245221390
2793921354
Stop Event
1×node limit
Counts
744 → 719
Calls
Call 1
Inputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/32 binary64))) #s(literal 1/4 binary64)))))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x)))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) x)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x))) x)))))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x)
(-.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) x)) #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.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 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
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(*.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cbrt.f64 x)))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64))) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -3/32 binary64) #s(literal -1/4 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/32 binary64))) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -3/32 binary64)) #s(literal -1/4 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/96 binary64) #s(literal -3/32 binary64)) #s(literal -1/4 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) x))
(-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) x)))
(log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) x))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) x))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(*.f64 x (-.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 x (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (neg.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x)))))
(*.f64 (neg.f64 x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) x))))
(*.f64 x (neg.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x))) x)))))
(*.f64 (neg.f64 x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) x))) x))))
(*.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) x)) x)) (neg.f64 x))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (-.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) x)
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(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64))) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)

eval249.0ms (3.4%)

Compiler

Compiled 13113 to 10743 computations (18.1% saved)

prune126.0ms (1.7%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New8222824
Fresh000
Picked055
Done022
Total8229831
Accuracy
100.0%
Counts
831 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.0%
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
✓99.6%
(log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
✓98.6%
(log1p.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x))
✓99.1%
(log1p.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x))
▶49.5%
(log1p.f64 (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64))))
▶0.6%
(log1p.f64 #s(literal -1 binary64))
✓99.1%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x))
✓98.6%
(log.f64 (/.f64 #s(literal 2 binary64) x))
✓99.6%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Compiler

Compiled 87 to 67 computations (23% saved)

localize248.0ms (3.3%)

Algorithm
2×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 2 binary64) x)
✓cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
✓cost-diff0
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
✓cost-diff0
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64))
✓cost-diff0
(log1p.f64 #s(literal -1 binary64))
✓accuracy100.0%
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
✓accuracy100.0%
(*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64)))
✓accuracy100.0%
(log1p.f64 (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64))))
✓accuracy100.0%
(log1p.f64 #s(literal -1 binary64))
Rules
882×fma-neg
690×div-sub
515×unsub-neg
399×fma-define
268×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
196
2136
015173
123173
236173
357173
479159
5102147
6135147
7194141
8375141
91251141
105247141
Stop Event
1×node limit
1×saturated
Calls
Call 1
Inputs
(log1p.f64 (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64))))
(*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64)))
x
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
Outputs
(log1p.f64 (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64))))
(log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))
(log1p.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (fma.f64 x #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(log.f64 (fma.f64 x #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))))
(log.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x)))
(*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
x
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
Call 2
Inputs
(log1p.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(log1p.f64 #s(literal -1 binary64))
(log.f64 #s(literal 0 binary64))
#s(literal -1 binary64)
Results
119.0ms256×0invalid
Compiler

Compiled 56 to 43 computations (23.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-log1p: 28.0ms (45.1% of total)
ival-div: 17.0ms (27.4% of total)
ival-add: 6.0ms (9.7% of total)
ival-sub: 4.0ms (6.4% of total)
ival-mult: 4.0ms (6.4% of total)
const: 2.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

Counts
6 → 60
Calls
Call 1
Inputs
#<alt (log1p.f64 #s(literal -1 binary64))>
#<alt (log1p.f64 (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64))))>
#<alt (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64)))>
#<alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))>
#<alt (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64))>
#<alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)>
Outputs
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/32 binary64))) #s(literal 1/4 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)))))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal -1/2 binary64)>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal -1/2 binary64)>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/2 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x))>
Calls

15 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(* x (- (/ (+ -1 (/ 2 x)) x) 1/2))
1.0ms
x
@-inf
(log (+ 1 (* x (- (/ (+ -1 (/ 2 x)) x) 1/2))))
1.0ms
x
@0
(log (+ 1 (* x (- (/ (+ -1 (/ 2 x)) x) 1/2))))
0.0ms
x
@inf
(log (+ 1 (* x (- (/ (+ -1 (/ 2 x)) x) 1/2))))
0.0ms
x
@-inf
(/ (+ -1 (/ 2 x)) x)

rewrite136.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1036×log1p-expm1-u
1036×expm1-log1p-u
332×prod-diff
205×fma-define
174×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016161
1207161
22792161
Stop Event
1×node limit
Counts
6 → 178
Calls
Call 1
Inputs
(log1p.f64 #s(literal -1 binary64))
(log1p.f64 (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64))))
(*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (log.f64 #s(literal 0 binary64)))) #s(literal 1 binary64))
(*.f64 (log.f64 #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64)))
(*.f64 (cbrt.f64 (log.f64 #s(literal 0 binary64))) (pow.f64 (cbrt.f64 (log.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 0 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 0 binary64))))
(*.f64 (sqrt.f64 (log.f64 #s(literal 0 binary64))) (sqrt.f64 (log.f64 #s(literal 0 binary64))))
(pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 #s(literal 0 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 #s(literal 0 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64)))
(log.f64 #s(literal 0 binary64))
(cbrt.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 #s(literal 0 binary64))))
(exp.f64 (log.f64 (log.f64 #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))) (sqrt.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))))
(pow.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) x) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) x) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) #s(literal -1/4 binary64)) x) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) x (*.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cbrt.f64 (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) #s(literal -1 binary64))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64))))
(pow.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) x) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) x) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (cbrt.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) x) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) x) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (cbrt.f64 x)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) x))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (cbrt.f64 x)))
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal 1 binary64)))

simplify228.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
371×cancel-sign-sub-inv
361×associate-*r/
300×associate-*l/
270×distribute-lft-neg-in
242×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04308883
19327419
231797246
Stop Event
1×node limit
Counts
238 → 288
Calls
Call 1
Inputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/32 binary64))) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
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(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal 1 binary64)))
Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (log.f64 x)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/32 binary64) #s(literal -1/4 binary64))) (log.f64 x)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/32 binary64) #s(literal -1/4 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/32 binary64))) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/192 binary64) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))) (log.f64 x)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/192 binary64) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64)))
(-.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 x) (-.f64 (log.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64))) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 x)) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -64/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (log.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (-.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -64/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(*.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)))))
(*.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)))))
(*.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))
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(/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 2 binary64)))

eval92.0ms (1.2%)

Compiler

Compiled 5333 to 4221 computations (20.9% saved)

prune141.0ms (1.9%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New3181319
Fresh000
Picked022
Done167
Total3199328
Accuracy
100.0%
Counts
328 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.0%
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
✓99.6%
(log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
✓98.6%
(log1p.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x))
✓99.1%
(log1p.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x))
✓49.5%
(log1p.f64 (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64))))
✓0.6%
(log1p.f64 #s(literal -1 binary64))
✓98.6%
(log.f64 (/.f64 #s(literal 2 binary64) x))
99.1%
(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64))))
✓99.6%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Compiler

Compiled 201 to 153 computations (23.9% saved)

regimes14.0ms (0.2%)

Counts
13 → 1
Calls
Call 1
Inputs
(log1p.f64 #s(literal -1 binary64))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x))
(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64))))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x))
(log1p.f64 (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/2 binary64))))
(log1p.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) x))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) x))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(log1p.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
Outputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Calls

3 calls:

5.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
4.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
4.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
99.6%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Compiler

Compiled 29 to 20 computations (31% saved)

regimes9.0ms (0.1%)

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

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
98.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(log1p.f64 #s(literal -1 binary64))
Outputs
(log1p.f64 #s(literal -1 binary64))
Calls

1 calls:

0.0ms
x
Results
AccuracySegmentsBranch
0.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×+-commutative
5×*-commutative
4×sub-neg
3×1-exp
3×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027117
143117
251117
356117
458117
Stop Event
1×saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64))))
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(log1p.f64 #s(literal -1 binary64))
Outputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64))))
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(log1p.f64 #s(literal -1 binary64))

soundness1.2s (16%)

Rules
1204×log1p-expm1-u
1036×log1p-expm1-u
1036×expm1-log1p-u
1034×log1p-expm1-u
1034×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090515971
1197115134
2666115120
027301
1390285
25193285
014167
1205161
22952161
016161
1207161
22792161
04308883
19327419
231797246
0108723201
1245221390
2793921354
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 726 to 561 computations (22.7% saved)

preprocess38.0ms (0.5%)

Compiler

Compiled 94 to 70 computations (25.5% saved)

end0.0ms (0%)

Profiling

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