2log (problem 3.3.6)

Time bar (total: 13.8s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3.2%96.8%0%0%0%0
100%3.2%0%96.8%0%0%0%1
Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival->: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)

sample1.9s (13.5%)

Results
1.3s6116×1valid
242.0ms2140×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-log: 569.0ms (49.2% of total)
ival-sub: 188.0ms (16.3% of total)
backward-pass: 162.0ms (14% of total)
ival-add: 105.0ms (9.1% of total)
ival-<: 54.0ms (4.7% of total)
ival->: 47.0ms (4.1% of total)
const: 20.0ms (1.7% of total)
ival-and: 11.0ms (1% of total)
Bogosity

preprocess57.0ms (0.4%)

Algorithm
egg-herbie
Rules
84×fma-define
66×fma-neg
33×sub-neg
22×unsub-neg
20×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
133104
263100
3109100
4175100
5268100
6346100
7405100
8457100
9492100
10518100
11520100
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64))) (log.f64 (neg.f64 N)))
(neg.f64 (-.f64 (log.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64))) (log.f64 (neg.f64 N))))
Outputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (neg.f64 N))) (log.f64 (neg.f64 N)))
(-.f64 (log1p.f64 (neg.f64 N)) (log.f64 (neg.f64 N)))
(neg.f64 (-.f64 (log.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64))) (log.f64 (neg.f64 N))))
(neg.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (neg.f64 N))) (log.f64 (neg.f64 N))))
(neg.f64 (-.f64 (log1p.f64 (neg.f64 N)) (log.f64 (neg.f64 N))))
(-.f64 (log.f64 (neg.f64 N)) (log1p.f64 (neg.f64 N)))

explain157.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2462(197.84935149258462)2(9.471649398998293)(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
00-0-(log.f64 (+.f64 N #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(+.f64 N #s(literal 1 binary64))
00-0-(log.f64 N)
00-0-N
Results
97.0ms372×1valid
13.0ms140×0valid
Compiler

Compiled 48 to 32 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-log: 41.0ms (51.7% of total)
ival-add: 17.0ms (21.5% of total)
backward-pass: 14.0ms (17.7% of total)
ival-sub: 5.0ms (6.3% of total)
const: 2.0ms (2.5% of total)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
25.8%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize79.0ms (0.6%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
25.8%
(-.f64 (log1p.f64 N) (log.f64 N))
Results
68.0ms186×1valid
4.0ms70×0valid
Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log1p: 8.0ms (39.7% of total)
ival-log: 6.0ms (29.8% of total)
backward-pass: 3.0ms (14.9% of total)
ival-sub: 2.0ms (9.9% of total)
const: 0.0ms (0% of total)

series3.0ms (0%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (-.f64 (log1p.f64 N) (log.f64 N))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (log.f64 N))>
#<alt (-.f64 N (log.f64 N))>
#<alt (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))) (log.f64 N))>
#<alt (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))) (log.f64 N))>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))>
Calls

3 calls:

TimeVariablePointExpression
1.0ms
N
@-inf
(- (log (+ 1 N)) (log N))
1.0ms
N
@inf
(- (log (+ 1 N)) (log N))
0.0ms
N
@0
(- (log (+ 1 N)) (log N))

rewrite191.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
446×log1p-expm1-u
446×expm1-log1p-u
420×add-exp-log
401×add-log-exp
394×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
19221
2120121
Stop Event
node limit
Counts
1 → 95
Calls
Call 1
Inputs
(-.f64 (log1p.f64 N) (log.f64 N))
Outputs
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 #s(literal -1 binary64) (log.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 1 binary64))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 2 binary64)))
(fma.f64 (log1p.f64 N) #s(literal 1 binary64) (neg.f64 (log.f64 N)))
(fma.f64 (log1p.f64 N) #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 1 binary64) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(fma.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(fma.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 #s(literal -1 binary64) (log.f64 N) (log1p.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 N)) (log1p.f64 N))

simplify105.0ms (0.8%)

Algorithm
egg-herbie
Rules
563×fma-define
378×div-sub
368×associate-*r*
329×associate-*l*
298×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02503381
15833281
215083271
360013267
Stop Event
node limit
Counts
107 → 134
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (log.f64 N))
(-.f64 N (log.f64 N))
(-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))) (log.f64 N))
(-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))) (log.f64 N))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)
(/.f64 #s(literal 1 binary64) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 #s(literal -1 binary64) (log.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 1 binary64))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 2 binary64)))
(fma.f64 (log1p.f64 N) #s(literal 1 binary64) (neg.f64 (log.f64 N)))
(fma.f64 (log1p.f64 N) #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 1 binary64) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(fma.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(fma.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 #s(literal -1 binary64) (log.f64 N) (log1p.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 N)) (log1p.f64 N))
Outputs
(*.f64 #s(literal -1 binary64) (log.f64 N))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))) (log.f64 N))
(-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1/2 binary64)))) (log.f64 N))
(fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 (log.f64 N)))
(-.f64 (*.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1 binary64))) (log.f64 N))
(-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))) (log.f64 N))
(-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64))))) (log.f64 N))
(fma.f64 N (fma.f64 N (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (log.f64 N)))
(-.f64 (*.f64 N (fma.f64 N (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (log.f64 N))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))))) N)
(/.f64 #s(literal 1 binary64) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 N))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (neg.f64 N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 #s(literal -1 binary64) (log.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 N)) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 1 binary64))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (E.f64)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 3 binary64)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
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(-.f64 (log1p.f64 N) (log.f64 N))
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(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
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(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 #s(literal -1 binary64) (log.f64 N) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64) (log.f64 N)))
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(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))

eval23.0ms (0.2%)

Compiler

Compiled 1983 to 786 computations (60.4% saved)

prune36.0ms (0.3%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New11222134
Fresh000
Picked011
Done000
Total11223135
Accuracy
99.4%
Counts
135 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.3%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
26.9%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
25.8%
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
25.7%
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64))
25.8%
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
95.9%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N)
94.1%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) N)) N)
90.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
95.9%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
94.2%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
25.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
82.9%
(/.f64 #s(literal 1 binary64) N)
25.8%
(-.f64 (log1p.f64 N) (log.f64 N))
26.7%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
25.8%
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
24.9%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
25.8%
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 8 binary64))))
27.8%
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
28.7%
(log1p.f64 (-.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)))
28.6%
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
25.7%
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 3 binary64)))
25.8%
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
25.8%
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)))
Compiler

Compiled 558 to 384 computations (31.2% saved)

localize667.0ms (4.8%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.4%
(/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
99.2%
(pow.f64 (log.f64 N) #s(literal 2 binary64))
99.1%
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
26.4%
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
100.0%
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
95.0%
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
25.8%
(-.f64 (log1p.f64 N) (log.f64 N))
100.0%
(/.f64 (+.f64 N #s(literal 1 binary64)) N)
99.8%
(log1p.f64 (-.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)))
28.6%
(-.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64))
99.9%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N)
99.9%
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)
99.5%
(/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
99.4%
(/.f64 #s(literal 1/3 binary64) N)
Results
409.0ms188×1valid
158.0ms68×0valid
Compiler

Compiled 188 to 108 computations (42.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 389.0ms
ival-div: 126.0ms (32.4% of total)
backward-pass: 80.0ms (20.6% of total)
ival-pow: 79.0ms (20.3% of total)
ival-sub: 39.0ms (10% of total)
ival-add: 28.0ms (7.2% of total)
ival-log: 13.0ms (3.3% of total)
ival-log1p: 12.0ms (3.1% of total)
const: 8.0ms (2.1% of total)
ival-e: 5.0ms (1.3% of total)

series93.0ms (0.7%)

Counts
13 → 128
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1/3 binary64) N)>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N)>
#<alt (-.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64))>
#<alt (log1p.f64 (-.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)))>
#<alt (/.f64 (+.f64 N #s(literal 1 binary64)) N)>
#<alt (pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))>
#<alt (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))>
#<alt (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))>
#<alt (pow.f64 (log1p.f64 N) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 N) #s(literal 2 binary64))>
#<alt (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))>
Outputs
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1/2 binary64) N)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)>
#<alt (/.f64 #s(literal -1/2 binary64) N)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N))>
#<alt (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 N))>
#<alt (+.f64 N (*.f64 #s(literal -1 binary64) (log.f64 N)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) N) N)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) N) N)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) N) N)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))>
#<alt (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 N (*.f64 (log.f64 (E.f64)) (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64))))) (log.f64 N))) (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64))))>
#<alt (+.f64 (*.f64 N (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 (E.f64)) (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64)))) (log.f64 N))) (*.f64 N (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (E.f64)) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64))))))) (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64))))>
#<alt (+.f64 (*.f64 N (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 (E.f64)) (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64)))) (log.f64 N))) (*.f64 N (+.f64 (*.f64 N (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (log.f64 N))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (log.f64 (E.f64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))))))) (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64))))) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (E.f64)) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64)))))))) (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64))))>
#<alt (pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 (E.f64)) (pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) N)) (pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 1 binary64) N))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 (E.f64)) (pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) N)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 #s(literal 5/24 binary64) (log.f64 (E.f64)))) (pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (pow.f64 N #s(literal 2 binary64))) (pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 1 binary64) N)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 (E.f64)) (pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) N)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (log.f64 (E.f64))) (+.f64 (*.f64 #s(literal -5/48 binary64) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/48 binary64) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))))) (pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (pow.f64 N #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 #s(literal 5/24 binary64) (log.f64 (E.f64)))) (pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (pow.f64 N #s(literal 2 binary64))) (pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 1 binary64) N))))))>
#<alt (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))>
#<alt (+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (log.f64 (E.f64))) N)))>
#<alt (+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (*.f64 #s(literal 5/24 binary64) (log.f64 (E.f64))))) N)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (log.f64 (E.f64))))) N)))>
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#<alt (*.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))))) (log.f64 (/.f64 #s(literal 1 binary64) N))))))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (-.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) N))))))) (pow.f64 N #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (*.f64 N (log.f64 (/.f64 #s(literal 1 binary64) N))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (*.f64 (pow.f64 N #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))))) (*.f64 (pow.f64 N #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1/2 binary64) (*.f64 N (log.f64 (/.f64 #s(literal 1 binary64) N)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 N (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 N (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64)))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64)))))) N)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64))))) N)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 N (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64)))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64))))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64)))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64))))))) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64)))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64)))))) N)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64))))) N)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))))))>
Calls

39 calls:

TimeVariablePointExpression
28.0ms
N
@0
(pow (log N) 2)
19.0ms
N
@-inf
(pow (log N) 2)
6.0ms
N
@inf
(pow (log N) 2)
4.0ms
N
@-inf
(/ (+ (log (+ 1 N)) (log N)) (- (pow (log (+ 1 N)) 2) (pow (log N) 2)))
4.0ms
N
@0
(/ (- (+ 1 (/ (+ -1/2 (/ 1/3 N)) N)) (/ 1/4 (pow N 3))) N)

rewrite139.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
283×log1p-expm1-u
283×expm1-log1p-u
263×add-exp-log
262×add-log-exp
262×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035327
1612311
Stop Event
node limit
Counts
13 → 390
Calls
Call 1
Inputs
(/.f64 #s(literal 1/3 binary64) N)
(/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N)
(-.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64))
(log1p.f64 (-.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)))
(/.f64 (+.f64 N #s(literal 1 binary64)) N)
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/3 binary64) N))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) N)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) N)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) N)) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) N)))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 N)))
(pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) N)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/3 binary64))
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(*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (log1p.f64 N)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(*.f64 (log.f64 N) (log.f64 N))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)))
(log.f64 (pow.f64 N (log.f64 N)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 2 binary64))
(neg.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 1 binary64)))

simplify240.0ms (1.7%)

Algorithm
egg-herbie
Rules
546×fma-define
334×distribute-rgt-in
333×associate-*r*
324×distribute-lft-in
269×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0122127453
1323625677
Stop Event
node limit
Counts
518 → 673
Calls
Call 1
Inputs
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) N)
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)
(/.f64 #s(literal -1/2 binary64) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)
(/.f64 #s(literal 1 binary64) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(*.f64 #s(literal -1 binary64) (log.f64 N))
(+.f64 N (*.f64 #s(literal -1 binary64) (log.f64 N)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) N)
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(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64))))))
(+.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64))))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64))))))
(+.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (log1p.f64 N)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(*.f64 (log.f64 N) (log.f64 N))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)))
(log.f64 (pow.f64 N (log.f64 N)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 2 binary64))
(neg.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal 2 binary64)))
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(*.f64 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(/.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64)) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 2 binary64))
(neg.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))

eval267.0ms (1.9%)

Compiler

Compiled 20257 to 12932 computations (36.2% saved)

prune173.0ms (1.3%)

Pruning

31 alts after pruning (28 fresh and 3 done)

PrunedKeptTotal
New78621807
Fresh10717
Picked325
Done011
Total79931830
Accuracy
99.7%
Counts
830 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N) (*.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -3 binary64))))) N) #s(literal 3 binary64)) #s(literal 1/3 binary64))
91.2%
(pow.f64 (E.f64) (+.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (pow.f64 N #s(literal 2 binary64))) (log.f64 N)) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 3 binary64))))))
26.4%
(pow.f64 (E.f64) (log.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))
91.2%
(pow.f64 (E.f64) (log.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N)))
91.2%
(pow.f64 (E.f64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)))
95.2%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -3 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N))) (sqrt.f64 N)) (sqrt.f64 N))
95.9%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N)
94.1%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) N)) N)
95.4%
(/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
90.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
94.2%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
95.9%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
25.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
95.9%
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -3 binary64))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))))
96.3%
(/.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))))) (log.f64 (/.f64 #s(literal 1 binary64) N))))))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (-.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) N))))))) (pow.f64 N #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (*.f64 N (log.f64 (/.f64 #s(literal 1 binary64) N))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (*.f64 (pow.f64 N #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))))) (*.f64 (pow.f64 N #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1/2 binary64) (*.f64 N (log.f64 (/.f64 #s(literal 1 binary64) N))))))))))
96.3%
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (neg.f64 (log.f64 N)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 (log.f64 N))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal -1 binary64)) (log.f64 N)))))) (log.f64 N))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 N))) (log.f64 N))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal -1 binary64))) (log.f64 N)))))) (pow.f64 N #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (*.f64 N (neg.f64 (log.f64 N)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal -1 binary64)) (pow.f64 N #s(literal 2 binary64))) (neg.f64 (log.f64 N))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (*.f64 (pow.f64 N #s(literal 2 binary64)) (neg.f64 (log.f64 N))))) (/.f64 (/.f64 #s(literal 1/2 binary64) N) (neg.f64 (log.f64 N))))))))))
82.9%
(/.f64 #s(literal 1 binary64) N)
25.8%
(-.f64 (log1p.f64 N) (log.f64 N))
26.2%
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)))))
24.9%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
27.8%
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
29.5%
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
30.7%
(log1p.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
28.6%
(log1p.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal -1 binary64))) #s(literal 3 binary64)))
28.7%
(log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)))))
28.7%
(log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N))))
28.6%
(log1p.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
28.8%
(log1p.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal -1 binary64)))))
28.7%
(log1p.f64 (exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal -1 binary64)))))
28.6%
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
25.8%
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
Compiler

Compiled 1738 to 1295 computations (25.5% saved)

localize4.6s (33.5%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.6%
(pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64))
99.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64))))
99.5%
(pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64))
29.8%
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64)))
99.9%
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
99.8%
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
99.5%
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
94.9%
(pow.f64 (E.f64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)))
100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))))
99.9%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) N)) N)
99.8%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) N))
99.4%
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))
100.0%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
99.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
99.2%
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 (log.f64 N))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal -1 binary64)) (log.f64 N)))))) (log.f64 N))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 N))) (log.f64 N))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal -1 binary64))) (log.f64 N))))))
99.1%
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 N))) (log.f64 N))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal -1 binary64))) (log.f64 N)))))
99.1%
(/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 N))) (log.f64 N))
98.1%
(fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal -1 binary64)) (log.f64 N))))
Results
3.0s177×1valid
573.0ms79×0valid
Compiler

Compiled 2042 to 1257 computations (38.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.3s
ival-div: 798.0ms (24.3% of total)
backward-pass: 647.0ms (19.7% of total)
ival-mult: 541.0ms (16.5% of total)
ival-fma: 350.0ms (10.7% of total)
ival-sub: 310.0ms (9.5% of total)
ival-pow: 280.0ms (8.5% of total)
ival-add: 216.0ms (6.6% of total)
const: 92.0ms (2.8% of total)
ival-log: 25.0ms (0.8% of total)
ival-log1p: 9.0ms (0.3% of total)
ival-neg: 6.0ms (0.2% of total)
ival-e: 5.0ms (0.2% of total)

series110.0ms (0.8%)

Counts
18 → 200
Calls
Call 1
Inputs
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal -1 binary64)) (log.f64 N))))>
#<alt (/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 N))) (log.f64 N))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 N))) (log.f64 N))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal -1 binary64))) (log.f64 N)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 (log.f64 N))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal -1 binary64)) (log.f64 N)))))) (log.f64 N))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 N))) (log.f64 N))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal -1 binary64))) (log.f64 N))))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) N))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) N)) N)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))))>
#<alt (pow.f64 (E.f64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)))>
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)>
#<alt (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))>
#<alt (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)>
#<alt (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64)))>
#<alt (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64))))>
#<alt (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64))>
Outputs
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N))))) (log.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal 1 binary64)) (log.f64 N))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N))))) (log.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal 1 binary64)) (log.f64 N))))>
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#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 3 binary64) (*.f64 N (+.f64 #s(literal 3 binary64) N))))) (pow.f64 N #s(literal 3 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 3 binary64) (pow.f64 N #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 3 binary64) (pow.f64 N #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) N)) N)) #s(literal 3 binary64)) N)))>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) N))) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) N))) (pow.f64 N #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))>
Calls

54 calls:

TimeVariablePointExpression
35.0ms
N
@-inf
(+ (* 1/2 (/ (* (- 1 (log N)) (- (/ 1/4 (neg (log N))) (+ (* 1/2 (* (- 1 (log N)) (/ (+ (* 1/2 (/ -1 (log N))) (* 1/2 (/ (- 1 (log N)) (log N)))) (neg (log N))))) (* 1/2 (/ (+ (* 2/3 (log N)) -1) (log N)))))) (log N))) (+ (* 1/2 (/ (+ 11/12 (* -1/2 (log N))) (log N))) (+ (* 1/6 (/ -1 (log N))) (* -1/2 (/ (* (+ (* 1/2 (/ -1 (log N))) (* 1/2 (/ (- 1 (log N)) (log N)))) (+ (* 2/3 (log N)) -1)) (log N))))))
9.0ms
N
@inf
(+ (* 1/2 (* (- 1 (log N)) (/ (+ (* 1/2 (/ -1 (log N))) (* 1/2 (/ (- 1 (log N)) (log N)))) (neg (log N))))) (* 1/2 (/ (+ (* 2/3 (log N)) -1) (log N))))
5.0ms
N
@-inf
(+ (* 1/2 (* (- 1 (log N)) (/ (+ (* 1/2 (/ -1 (log N))) (* 1/2 (/ (- 1 (log N)) (log N)))) (neg (log N))))) (* 1/2 (/ (+ (* 2/3 (log N)) -1) (log N))))
5.0ms
N
@-inf
(/ (- 1 (pow (/ (+ N 1) N) 3)) (- (+ -1 (/ (- -1 N) N)) (pow (/ (+ N 1) N) 2)))
4.0ms
N
@0
(+ (* 1/2 (* (- 1 (log N)) (/ (+ (* 1/2 (/ -1 (log N))) (* 1/2 (/ (- 1 (log N)) (log N)))) (neg (log N))))) (* 1/2 (/ (+ (* 2/3 (log N)) -1) (log N))))

rewrite226.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
708×log1p-expm1-u
708×expm1-log1p-u
677×pow1
234×unpow-prod-down
221×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0761151
115001084
Stop Event
node limit
Counts
18 → 352
Calls
Call 1
Inputs
(fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal -1 binary64)) (log.f64 N))))
(/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 N))) (log.f64 N))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 N))) (log.f64 N))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal -1 binary64))) (log.f64 N)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 (log.f64 N))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal -1 binary64)) (log.f64 N)))))) (log.f64 N))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 N))) (log.f64 N))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal -1 binary64))) (log.f64 N))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) N)) N)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))))
(pow.f64 (E.f64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64)))
(pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1 binary64)))) (neg.f64 (log.f64 N))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))) #s(literal 2 binary64))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N)))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (log.f64 N) #s(literal -1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal -1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N)))
(*.f64 (fma.f64 (log.f64 N) #s(literal -1/2 binary64) #s(literal 11/12 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (log.f64 N) #s(literal -1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 (log.f64 N) #s(literal -1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N))))
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(exp.f64 (+.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))))
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(pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))) #s(literal 3 binary64))
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(pow.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64)))) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))))))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) #s(literal 1 binary64)))

simplify328.0ms (2.4%)

Algorithm
egg-herbie
Rules
356×fma-define
351×associate-*r*
310×associate-*l*
285×*-commutative
274×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108241517
1256034899
Stop Event
node limit
Counts
552 → 602
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N))))) (log.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal 1 binary64)) (log.f64 N))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N))))) (log.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal 1 binary64)) (log.f64 N))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N))))) (log.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal 1 binary64)) (log.f64 N))))
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(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (log.f64 (/.f64 #s(literal 1 binary64) N)))))
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(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64)))) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) #s(literal 1 binary64)))
Outputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N))))) (log.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal 1 binary64)) (log.f64 N))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (/.f64 #s(literal 1/2 binary64) (log.f64 N)))) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 N)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (log.f64 N)))) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N))))) (log.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal 1 binary64)) (log.f64 N))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (/.f64 #s(literal 1/2 binary64) (log.f64 N)))) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 N)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (log.f64 N)))) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N))))) (log.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal 1 binary64)) (log.f64 N))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (/.f64 #s(literal 1/2 binary64) (log.f64 N)))) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 N)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (log.f64 N)))) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N))))) (log.f64 N))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal 1 binary64)) (log.f64 N))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (/.f64 #s(literal 1/2 binary64) (log.f64 N)))) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 N)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (log.f64 N)))) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (log.f64 (/.f64 #s(literal 1 binary64) N)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (/.f64 #s(literal 1/2 binary64) (log.f64 N)))) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 N)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (log.f64 N)))) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (log.f64 (/.f64 #s(literal 1 binary64) N)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (/.f64 #s(literal 1/2 binary64) (log.f64 N)))) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 N)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (log.f64 N)))) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (log.f64 (/.f64 #s(literal 1 binary64) N)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (/.f64 #s(literal 1/2 binary64) (log.f64 N)))) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 N)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (log.f64 N)))) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (log.f64 (/.f64 #s(literal 1 binary64) N)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))) (/.f64 #s(literal 1/2 binary64) (log.f64 N)))) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (log.f64 N))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 N)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (log.f64 N)))) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)))))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 2 binary64)) #s(literal 3 binary64))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))
(exp.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))
(pow.f64 (/.f64 (exp.f64 (log1p.f64 N)) N) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))
(pow.f64 (/.f64 (exp.f64 (log1p.f64 N)) N) #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))
(pow.f64 (/.f64 (exp.f64 (log1p.f64 N)) N) #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))
(pow.f64 (/.f64 (exp.f64 (log1p.f64 N)) N) #s(literal 2 binary64))

eval398.0ms (2.9%)

Compiler

Compiled 36313 to 24394 computations (32.8% saved)

prune113.0ms (0.8%)

Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New58913602
Fresh111223
Picked325
Done123
Total60429633
Accuracy
99.9%
Counts
633 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N) (*.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -3 binary64))))) N) #s(literal 3 binary64)) #s(literal 1/3 binary64))
91.2%
(pow.f64 (E.f64) (+.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (pow.f64 N #s(literal 2 binary64))) (log.f64 N)) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 3 binary64))))))
91.2%
(pow.f64 (E.f64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)))
91.2%
(pow.f64 (E.f64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)))) N)))
94.1%
(/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64)))) (pow.f64 N #s(literal 2 binary64))) N)
95.4%
(/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
90.7%
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64)))
94.2%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
90.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
90.8%
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) N)
95.9%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
95.9%
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
96.3%
(/.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))))) (log.f64 (/.f64 #s(literal 1 binary64) N))))))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (-.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) N))))))) (pow.f64 N #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (*.f64 N (log.f64 (/.f64 #s(literal 1 binary64) N))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (*.f64 (pow.f64 N #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))))) (*.f64 (pow.f64 N #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1/2 binary64) (*.f64 N (log.f64 (/.f64 #s(literal 1 binary64) N))))))))))
82.9%
(/.f64 #s(literal 1 binary64) N)
90.9%
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
25.8%
(-.f64 (log1p.f64 N) (log.f64 N))
90.9%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))
95.8%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (/.f64 #s(literal 1 binary64) N))
27.8%
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
29.5%
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
30.7%
(log1p.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
99.1%
(log1p.f64 (/.f64 (/.f64 (-.f64 (*.f64 N (-.f64 (*.f64 #s(literal -3 binary64) N) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)))))
99.4%
(log1p.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 3 binary64))) (neg.f64 N)) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)))))
99.3%
(log1p.f64 (/.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -3 binary64)) N)) N) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)))))
28.7%
(log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N)))))
28.7%
(log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N))))
28.6%
(log1p.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
28.6%
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
25.8%
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
Compiler

Compiled 1323 to 1066 computations (19.4% saved)

localize1.5s (10.7%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N))
99.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
99.5%
(pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64))
29.8%
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64)))
100.0%
(*.f64 N (-.f64 N #s(literal 1/2 binary64)))
99.9%
(+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))
99.6%
(*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64)))))
99.5%
(/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
99.9%
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
99.8%
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
99.5%
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
100.0%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
99.8%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))
99.8%
(log1p.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 3 binary64))) (neg.f64 N)) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)))))
99.6%
(pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64))
99.6%
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 3 binary64))) (neg.f64 N)) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64))))
99.6%
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
Results
904.0ms177×1valid
148.0ms79×0valid
Compiler

Compiled 464 to 336 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 906.0ms
ival-div: 268.0ms (29.6% of total)
backward-pass: 227.0ms (25.1% of total)
ival-add: 143.0ms (15.8% of total)
ival-pow: 104.0ms (11.5% of total)
ival-sub: 72.0ms (7.9% of total)
ival-mult: 57.0ms (6.3% of total)
const: 25.0ms (2.8% of total)
ival-log1p: 7.0ms (0.8% of total)
ival-neg: 2.0ms (0.2% of total)

series22.0ms (0.2%)

Counts
11 → 112
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 3 binary64))) (neg.f64 N)) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64))))>
#<alt (log1p.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 3 binary64))) (neg.f64 N)) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)))))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))>
#<alt (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64)))))>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))>
#<alt (*.f64 N (-.f64 N #s(literal 1/2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N))))>
#<alt (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 N))>
#<alt (+.f64 N (*.f64 #s(literal -1 binary64) (log.f64 N)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))>
#<alt (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))>
#<alt (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))>
#<alt (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))>
#<alt (*.f64 #s(literal 1/3 binary64) N)>
#<alt (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)))>
#<alt (pow.f64 N #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))>
#<alt (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))>
#<alt (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))>
#<alt (pow.f64 N #s(literal 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64))))>
#<alt #s(literal 1/3 binary64)>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N))))>
#<alt (*.f64 #s(literal -1/2 binary64) N)>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) N))) (pow.f64 N #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) N))) (pow.f64 N #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))>
Calls

33 calls:

TimeVariablePointExpression
6.0ms
N
@inf
(+ 1/3 (* N (- N 1/2)))
1.0ms
N
@0
(/ (/ (+ (/ 3 N) (+ (/ 1 (pow N 2)) 3)) (neg N)) (- (+ -1 (/ (- -1 N) N)) (pow (/ (+ N 1) N) 2)))
1.0ms
N
@inf
(/ (/ (+ (/ 3 N) (+ (/ 1 (pow N 2)) 3)) (neg N)) (- (+ -1 (/ (- -1 N) N)) (pow (/ (+ N 1) N) 2)))
1.0ms
N
@-inf
(/ (/ (+ (/ 3 N) (+ (/ 1 (pow N 2)) 3)) (neg N)) (- (+ -1 (/ (- -1 N) N)) (pow (/ (+ N 1) N) 2)))
0.0ms
N
@-inf
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))

rewrite147.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
507×log1p-expm1-u
507×expm1-log1p-u
487×pow1
486×add-exp-log
485×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058553
11195532
Stop Event
node limit
Counts
11 → 203
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 3 binary64))) (neg.f64 N)) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64))))
(log1p.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 3 binary64))) (neg.f64 N)) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))
(*.f64 N (-.f64 N #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N))
(*.f64 (cbrt.f64 (pow.f64 N #s(literal -4 binary64))) (cbrt.f64 (pow.f64 N #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 N #s(literal -2 binary64))) (sqrt.f64 (pow.f64 N #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 N) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 N) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 N) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 N #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (pow.f64 N #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 N #s(literal -2 binary64))
(pow.f64 (pow.f64 N #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 N #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 N #s(literal -6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 N #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 N #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(log.f64 (exp.f64 (pow.f64 N #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 N #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 N #s(literal -6 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 N #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 N #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 N)))
(exp.f64 (*.f64 (log.f64 N) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 N)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (pow.f64 N #s(literal -2 binary64))) #s(literal 3 binary64)) (neg.f64 N)) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (pow.f64 N #s(literal -2 binary64))) #s(literal 3 binary64)) (neg.f64 N)) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (pow.f64 N #s(literal -2 binary64))) #s(literal 3 binary64)) (neg.f64 N)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (+.f64 #s(literal 1 binary64) N)) N)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N)) N)
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)))

simplify225.0ms (1.6%)

Algorithm
egg-herbie
Rules
666×fma-define
461×associate-*r/
452×times-frac
207×exp-prod
182×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053713696
1112012920
2337612426
Stop Event
node limit
Counts
315 → 333
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(*.f64 #s(literal -1 binary64) (log.f64 N))
(+.f64 N (*.f64 #s(literal -1 binary64) (log.f64 N)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)
(/.f64 #s(literal 1 binary64) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))
(/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 #s(literal 1 binary64) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)
(/.f64 #s(literal 1 binary64) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)
(/.f64 #s(literal 1 binary64) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))
(*.f64 #s(literal 1/3 binary64) N)
(*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)))
(pow.f64 N #s(literal 3 binary64))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
(pow.f64 N #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64))))
#s(literal 1/3 binary64)
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N))))
(*.f64 #s(literal -1/2 binary64) N)
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) N))) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 2 binary64) N))) (pow.f64 N #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N))
(*.f64 (cbrt.f64 (pow.f64 N #s(literal -4 binary64))) (cbrt.f64 (pow.f64 N #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 N #s(literal -2 binary64))) (sqrt.f64 (pow.f64 N #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 N) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 N) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 N) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 N #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (pow.f64 N #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 N #s(literal -2 binary64))
(pow.f64 (pow.f64 N #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 N #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 N #s(literal -6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 N #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 N #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
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(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64)))) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (+.f64 #s(literal 1 binary64) N)) N)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N)) N)
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) N)
(*.f64 #s(literal -1 binary64) (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 #s(literal -1 binary64) (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))))
(fma.f64 #s(literal -1 binary64) (log.f64 N) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1/2 binary64)))))
(fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 (log.f64 N)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -1 binary64) (log.f64 N) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64))))))
(fma.f64 N (fma.f64 N (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (log.f64 N)))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) (/.f64 #s(literal -1/2 binary64) N))) N)
(/.f64 #s(literal 1 binary64) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal -2 binary64)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (fma.f64 N (+.f64 (*.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) (/.f64 #s(literal -1/2 binary64) N))) N)
(/.f64 #s(literal 1 binary64) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 N))
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(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
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(cbrt.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))) #s(literal 3 binary64)))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 #s(literal 2 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 #s(literal 2 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 #s(literal 2 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 #s(literal 2 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 #s(literal 2 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (+.f64 #s(literal 1 binary64) N)) N)
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N)) N)
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 2 binary64)))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 2 binary64)))
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))
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(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (/.f64 (exp.f64 (log1p.f64 N)) N) #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (/.f64 (exp.f64 (log1p.f64 N)) N) #s(literal 2 binary64))

eval362.0ms (2.6%)

Compiler

Compiled 13898 to 10613 computations (23.6% saved)

prune184.0ms (1.3%)

Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New55710567
Fresh14620
Picked325
Done224
Total57620596
Accuracy
100.0%
Counts
596 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
99.0%
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (pow.f64 N #s(literal -2 binary64))) #s(literal 3 binary64)) (neg.f64 N)) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))) #s(literal 2 binary64))
94.1%
(/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64)))) (pow.f64 N #s(literal 2 binary64))) N)
90.7%
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64)))
94.2%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
90.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
90.8%
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) N)
95.9%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
94.2%
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N))))
95.9%
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
95.8%
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64))))))
82.9%
(/.f64 #s(literal 1 binary64) N)
90.9%
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
95.8%
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
90.9%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))
99.1%
(log1p.f64 (/.f64 (/.f64 (-.f64 (*.f64 N (-.f64 (*.f64 #s(literal -3 binary64) N) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N)))))
98.5%
(log1p.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 3 binary64))) (neg.f64 N)) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (exp.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))))
99.4%
(log1p.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (neg.f64 N)) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)))))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
95.3%
(log1p.f64 (exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (pow.f64 N #s(literal -2 binary64))) #s(literal 3 binary64)) (neg.f64 N)) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))))
Compiler

Compiled 1851 to 1311 computations (29.2% saved)

regimes115.0ms (0.8%)

Counts
68 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64))))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64)))
(log1p.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(log1p.f64 (-.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64)))) (pow.f64 N #s(literal 2 binary64))) N)
(/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N)
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -3 binary64))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(log1p.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
(log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N))))
(pow.f64 (E.f64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)))) N)))
(log1p.f64 (/.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -3 binary64)) N)) N) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)))))
(log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N)))))
(log1p.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (neg.f64 N)) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)))))
(log1p.f64 (/.f64 (/.f64 (-.f64 (*.f64 N (-.f64 (*.f64 #s(literal -3 binary64) N) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N)))))
(log1p.f64 (exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal -1 binary64)))))
(log1p.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal -1 binary64)))))
(log1p.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal -1 binary64))) #s(literal 3 binary64)))
(pow.f64 (E.f64) (log.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N)))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N) (*.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -3 binary64))))) N) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)))))
(log1p.f64 (/.f64 (/.f64 (-.f64 (*.f64 N (-.f64 (*.f64 #s(literal -3 binary64) N) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)))))
(log1p.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 3 binary64))) (neg.f64 N)) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)))
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -3 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N))) (sqrt.f64 N)) (sqrt.f64 N))
(pow.f64 (E.f64) (+.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (pow.f64 N #s(literal 2 binary64))) (log.f64 N)) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
(log1p.f64 (exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (pow.f64 N #s(literal -2 binary64))) #s(literal 3 binary64)) (neg.f64 N)) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))))
(log1p.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 3 binary64))) (neg.f64 N)) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (exp.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (pow.f64 N #s(literal -2 binary64))) #s(literal 3 binary64)) (neg.f64 N)) (-.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(pow.f64 (E.f64) (log.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))))) (log.f64 (/.f64 #s(literal 1 binary64) N))))))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (-.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) N))))))) (pow.f64 N #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (*.f64 N (log.f64 (/.f64 #s(literal 1 binary64) N))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (*.f64 (pow.f64 N #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))))) (*.f64 (pow.f64 N #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1/2 binary64) (*.f64 N (log.f64 (/.f64 #s(literal 1 binary64) N))))))))))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (neg.f64 (log.f64 N)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (-.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 (log.f64 N))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (neg.f64 (log.f64 N)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal -1 binary64)) (log.f64 N)))))) (log.f64 N))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 N))) (log.f64 N))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal -1 binary64))) (log.f64 N)))))) (pow.f64 N #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (*.f64 N (neg.f64 (log.f64 N)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) #s(literal -1 binary64)) (pow.f64 N #s(literal 2 binary64))) (neg.f64 (log.f64 N))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (*.f64 (pow.f64 N #s(literal 2 binary64)) (neg.f64 (log.f64 N))))) (/.f64 (/.f64 #s(literal 1/2 binary64) N) (neg.f64 (log.f64 N))))))))))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
Calls

2 calls:

87.0ms
N
13.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.8%1N
99.8%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes22.0ms (0.2%)

Counts
14 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64))))))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
Calls

1 calls:

21.0ms
N
Results
AccuracySegmentsBranch
95.9%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts
12 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
Calls

1 calls:

5.0ms
N
Results
AccuracySegmentsBranch
95.9%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
9 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N))))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N))))
Calls

1 calls:

4.0ms
N
Results
AccuracySegmentsBranch
94.2%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes72.0ms (0.5%)

Counts
8 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
Calls

1 calls:

72.0ms
N
Results
AccuracySegmentsBranch
94.2%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) N)
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
Calls

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
90.9%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
Outputs
(/.f64 #s(literal 1 binary64) N)
Calls

1 calls:

1.0ms
N
Results
AccuracySegmentsBranch
82.9%1N
Compiler

Compiled 2 to 1 computations (50% saved)

simplify5.0ms (0%)

Algorithm
egg-herbie
Rules
10×+-commutative
sub-neg
1-exp
*-commutative
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035251
148251
256251
362251
467251
569251
Stop Event
saturated
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) N)
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) N)

soundness1.2s (8.7%)

Rules
708×log1p-expm1-u
708×expm1-log1p-u
677×pow1
563×fma-define
546×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02503381
15833281
215083271
360013267
0122127453
1323625677
035327
1612311
0921
19221
2120121
0761151
115001084
0108241517
1256034899
017128
133104
263100
3109100
4175100
5268100
6346100
7405100
8457100
9492100
10518100
11520100
Stop Event
fuel
saturated
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1569 to 1187 computations (24.3% saved)

preprocess53.0ms (0.4%)

Compiler

Compiled 168 to 126 computations (25% saved)

end0.0ms (0%)

Profiling

Loading profile data...