ln(1 + x)

Time bar (total: 5.4s)

analyze2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
33.3%25%50%0%0%25%0%3
66.7%50%25%0%0%25%0%4
83.3%62.5%12.5%0%0%25%0%5
91.7%68.7%6.2%0%0%25%0%6
95.8%71.8%3.1%0%0%25%0%7
97.9%73.4%1.6%0%0%25%0%8
99%74.2%0.8%0%0%25%0%9
99.5%74.6%0.4%0%0%25%0%10
99.7%74.8%0.2%0%0%25%0%11
99.9%74.9%0.1%0%0%25%0%12
Compiler

Compiled 6 to 6 computations (0% saved)

sample2.4s (43.4%)

Memory
0.7MiB live, 1 819.8MiB allocated
Samples
1.2s4 045×1valid
435.0ms1 312×2valid
183.0ms2 899×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-log: 981.0ms (85.3% of total)
ival-add: 97.0ms (8.4% of total)
adjust: 56.0ms (4.9% of total)
...in/eval/compile.rkt:76:19: 6.0ms (0.5% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess43.0ms (0.8%)

Memory
-4.8MiB live, 118.5MiB allocated
Algorithm
egg-herbie
Rules
10×sub-neg
fma-define
+-commutative
associate-+l-
associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
12844
23744
34644
46044
57444
69144
79544
Stop Event
saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x))))
Outputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(log1p.f64 (neg.f64 x))
(neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x))))
(neg.f64 (log1p.f64 (neg.f64 x)))

explain131.0ms (2.4%)

Memory
10.9MiB live, 205.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1580-0-(log.f64 (+.f64 #s(literal 1 binary64) x))
00-0-(+.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 #s(literal 1 binary64) x))sensitivity1580
Confusion
Predicted +Predicted -
+1580
-098
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+15800
-0098
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
098
1158
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
53.0ms78×2valid
34.0ms228×1valid
9.0ms206×0valid
Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-log: 72.0ms (87.9% of total)
ival-add: 5.0ms (6.1% of total)
adjust: 3.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 3 to 2 computations (33.3% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log1p.f64 x)
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify6.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 x)
Rules
1-exp
log1p-undefine
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612
11012
21612
Stop Event
saturated
Calls
Call 1
Inputs
(log1p.f64 x)
x
Outputs
(log1p.f64 x)
x

localize10.0ms (0.2%)

Memory
14.3MiB live, 14.3MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log1p.f64 x)
Samples
7.0ms256×0valid
Compiler

Compiled 5 to 4 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-log1p: 2.0ms (77.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Counts
1 → 12
Calls
Call 1
Inputs
#<alt (log1p.f64 x)>
Outputs
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.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) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))))>
Calls

3 calls:

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

rewrite344.0ms (6.3%)

Memory
-14.9MiB live, 260.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
870×log1p-expm1-u
870×expm1-log1p-u
856×fma-define
404×fmm-def
179×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1448
24258
346298
Stop Event
node limit
Counts
1 → 56
Calls
Call 1
Inputs
(log1p.f64 x)
Outputs
(+.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (log.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (log1p.f64 x) #s(literal 1 binary64))
(*.f64 (log1p.f64 x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (log1p.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log1p.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 5/2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 5 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) (+.f64 (log1p.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 x) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log1p.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 x)))) (sqrt.f64 (log.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(fabs.f64 (log1p.f64 x))
(log.f64 (+.f64 x #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (log.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (log.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64))) (cbrt.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)))) (cbrt.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (log.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))

simplify73.0ms (1.3%)

Memory
28.6MiB live, 65.4MiB allocated
Algorithm
egg-herbie
Rules
465×fmm-def
322×associate-*r*
282×associate-+l-
280×associate-*l*
278×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02051742
14291670
29621639
336291579
Stop Event
node limit
Counts
68 → 119
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.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) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))))
(+.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (log.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (log1p.f64 x) #s(literal 1 binary64))
(*.f64 (log1p.f64 x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (log1p.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log1p.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 5/2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 5 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) (+.f64 (log1p.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 x) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log1p.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 x)))) (sqrt.f64 (log.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(fabs.f64 (log1p.f64 x))
(log.f64 (+.f64 x #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (log.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (log.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64))) (cbrt.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)))) (cbrt.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (log.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
Outputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal -1/2 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.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) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal -1 binary64)) x))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(log1p.f64 x)
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (log.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(-.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(log1p.f64 x)
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 (neg.f64 x)))
(*.f64 (log1p.f64 x) #s(literal 1 binary64))
(log1p.f64 x)
(*.f64 (log1p.f64 x) (log.f64 (E.f64)))
(log1p.f64 x)
(*.f64 #s(literal 1 binary64) (log1p.f64 x))
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)))
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64))))
(log1p.f64 x)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 5 binary64)))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64))))
(log1p.f64 x)
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (log1p.f64 x))))
(log1p.f64 x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log1p.f64 x))
(log1p.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 5/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 5/2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 5/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)))
(log1p.f64 x)
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 5 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 5 binary64))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 5 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(log1p.f64 x)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(log1p.f64 x)
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) (+.f64 (log1p.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 x) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 x)) (+.f64 (log1p.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 x)) (+.f64 #s(literal 2 binary64) (log1p.f64 x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 x)) (+.f64 #s(literal 2 binary64) (log1p.f64 x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 x)) (+.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64)) (+.f64 (log1p.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 x)) (+.f64 #s(literal 2 binary64) (log1p.f64 x)))
(*.f64 (+.f64 #s(literal 2 binary64) (log1p.f64 x)) (/.f64 (log1p.f64 x) (+.f64 #s(literal 2 binary64) (log1p.f64 x))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (log1p.f64 x)))) (+.f64 #s(literal 2 binary64) (log1p.f64 x)))
(pow.f64 (log1p.f64 x) #s(literal 1 binary64))
(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 3 binary64))
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 2 binary64))
(log1p.f64 x)
(pow.f64 (E.f64) (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 x)))) (sqrt.f64 (log.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(log1p.f64 x)
(fabs.f64 (log1p.f64 x))
(log1p.f64 x)
(log.f64 (+.f64 x #s(literal 1 binary64)))
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 3 binary64)))
(log1p.f64 x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 x))) #s(literal 1/3 binary64)))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) #s(literal 2 binary64)))
(log1p.f64 x)
(fma.f64 #s(literal 1 binary64) (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (log.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(log1p.f64 x)
(fma.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(log1p.f64 x)
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (log.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64))) (cbrt.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64)))) (cbrt.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(log1p.f64 x)
(fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (log.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (log1p.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(log1p.f64 x)

eval15.0ms (0.3%)

Memory
-6.5MiB live, 30.1MiB allocated
Compiler

Compiled 1 371 to 339 computations (75.3% saved)

prune15.0ms (0.3%)

Memory
0.2MiB live, 38.5MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1154119
Fresh000
Picked011
Done000
Total1155120
Accuracy
100.0%
Counts
120 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
63.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
61.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
100.0%
(log1p.f64 x)
62.4%
x
Compiler

Compiled 41 to 30 computations (26.8% saved)

simplify247.0ms (4.5%)

Memory
5.6MiB live, 51.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff-12544
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))
cost-diff-6272
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))
cost-diff-6272
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x)))
cost-diff0
(*.f64 #s(literal -1/4 binary64) x)
cost-diff-12544
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
cost-diff-6272
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
cost-diff-6272
(*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) x)
cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
cost-diff-6272
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
cost-diff0
(*.f64 x #s(literal -1/2 binary64))
Rules
2 409×fmm-def
813×fma-define
405×distribute-lft-in
365×distribute-rgt-in
283×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025389
169341
2133341
3298341
4673341
51258341
61549341
71868341
82390341
93815341
106143341
116676341
126692341
136692341
146790341
156831341
166831341
Stop Event
node limit
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
x
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
x
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
x
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))
(-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))
#s(literal 1/3 binary64)
(*.f64 #s(literal -1/4 binary64) x)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
Outputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal -1/2 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))
(fma.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal -1/2 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 #s(literal -1/4 binary64) x)
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)

localize129.0ms (2.4%)

Memory
-0.6MiB live, 115.0MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))
accuracy100.0%
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))
accuracy99.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
accuracy99.7%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x)))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))
accuracy100.0%
(*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))
accuracy99.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
accuracy99.5%
(*.f64 #s(literal 1/3 binary64) x)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
Samples
38.0ms255×0valid
1.0ms5exit
Compiler

Compiled 128 to 23 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 15.0ms (56.8% of total)
ival-add: 5.0ms (18.9% of total)
...in/eval/compile.rkt:77:19: 4.0ms (15.1% of total)
ival-sub: 2.0ms (7.6% of total)
adjust: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.4%)

Memory
-9.4MiB live, 30.6MiB allocated
Counts
13 → 113
Calls
Call 1
Inputs
#<alt (*.f64 x #s(literal -1/2 binary64))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal -1/4 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x)))>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))>
#<alt (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))>
Outputs
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal -1/2 binary64)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt #s(literal 1/3 binary64)>
#<alt (*.f64 #s(literal -1/4 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) x)) #s(literal 1/4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/3 binary64)) x)) #s(literal 1/4 binary64)))>
Calls

39 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(* 1/3 x)
1.0ms
x
@-inf
(* x (+ 1/3 (* -1/4 x)))
1.0ms
x
@0
(* 1/3 x)
1.0ms
x
@inf
(* x (+ 1 (* x -1/2)))
0.0ms
x
@inf
(* x -1/2)

rewrite211.0ms (3.9%)

Memory
1.6MiB live, 115.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 106×log1p-expm1-u
199×associate-*r*
192×expm1-log1p-u
187×add-exp-log
187×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025295
1421259
26241259
Stop Event
node limit
Counts
13 → 324
Calls
Call 1
Inputs
(*.f64 x #s(literal -1/2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1/4 binary64) x)
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
Outputs
(-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 x (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(+.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 x (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))

simplify204.0ms (3.7%)

Memory
0.1MiB live, 267.9MiB allocated
Algorithm
egg-herbie
Rules
690×fmm-def
452×times-frac
350×associate-*r*
331×associate-*l*
288×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075213840
1167713100
2537213078
Stop Event
node limit
Counts
437 → 522
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/3 binary64) x)
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x
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#s(literal 1/3 binary64)
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#s(literal 1 binary64)
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x
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(+.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 x (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))
(*.f64 x (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))
(*.f64 x (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))
(*.f64 x (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
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x
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(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)

eval164.0ms (3%)

Memory
-0.0MiB live, 114.2MiB allocated
Compiler

Compiled 9 009 to 2 101 computations (76.7% saved)

prune59.0ms (1.1%)

Memory
-0.5MiB live, 120.3MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New5211522
Fresh000
Picked044
Done011
Total5216527
Accuracy
100.0%
Counts
527 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
63.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
61.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
61.6%
(*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
100.0%
(log1p.f64 x)
62.4%
x
Compiler

Compiled 51 to 37 computations (27.5% saved)

simplify76.0ms (1.4%)

Memory
4.4MiB live, 41.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-6144
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
cost-diff-6144
(*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
Rules
971×div-sub
603×times-frac
536×cube-prod
412×fmm-def
403×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01191
12491
23873
37465
49065
518665
6205765
7279965
8364565
9495065
10796765
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
x
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
Outputs
(*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
x
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)

localize22.0ms (0.4%)

Memory
33.4MiB live, 33.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
accuracy99.8%
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
Samples
13.0ms255×0valid
0.0ms5exit
Compiler

Compiled 29 to 9 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (43.3% of total)
ival-div: 2.0ms (28.9% of total)
ival-sub: 1.0ms (14.4% of total)
adjust: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
-33.5MiB live, 4.4MiB allocated
Counts
4 → 27
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x)>
#<alt #s(literal -1/2 binary64)>
#<alt #s(literal -1/2 binary64)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(* x (* x (- (/ 1 x) 1/2)))
0.0ms
x
@-inf
(* x (- (/ 1 x) 1/2))
0.0ms
x
@inf
(* x (* x (- (/ 1 x) 1/2)))
0.0ms
x
@0
(* x (* x (- (/ 1 x) 1/2)))
0.0ms
x
@0
(/ 1 x)

rewrite95.0ms (1.7%)

Memory
39.1MiB live, 76.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
597×log1p-expm1-u
597×expm1-log1p-u
596×unpow-prod-down
499×pow1
316×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01185
113482
2166767
Stop Event
node limit
Counts
4 → 150
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal -1/2 binary64))))
(+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (pow.f64 x #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 x (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (+.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 #s(literal -1/2 binary64) x))

simplify312.0ms (5.7%)

Memory
-37.2MiB live, 98.6MiB allocated
Algorithm
egg-herbie
Rules
738×fma-define
444×distribute-lft-in
410×times-frac
403×distribute-rgt-in
198×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03474294971554
17164294971052
219004294970826
Stop Event
node limit
Counts
177 → 196
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x)
#s(literal -1/2 binary64)
#s(literal -1/2 binary64)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
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(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 #s(literal -1/2 binary64) x))
Outputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal -1/2 binary64)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))
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eval26.0ms (0.5%)

Memory
17.0MiB live, 53.0MiB allocated
Compiler

Compiled 2 604 to 718 computations (72.4% saved)

prune122.0ms (2.2%)

Memory
-24.7MiB live, 53.2MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1951196
Fresh000
Picked011
Done055
Total1957202
Accuracy
100.0%
Counts
202 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
63.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
61.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
62.2%
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
61.6%
(*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
100.0%
(log1p.f64 x)
62.4%
x
Compiler

Compiled 59 to 42 computations (28.8% saved)

simplify302.0ms (5.6%)

Memory
4.9MiB live, 41.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff256
(*.f64 x (/.f64 #s(literal 1 binary64) x))
cost-diff384
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
Rules
1 489×cube-div
1 364×cube-prod
1 063×swap-sqr
635×pow-sqr
505×unpow3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0932
12220
22620
36420
451220
5159920
6231120
7341420
8387520
9418220
10451420
11486420
12501620
13678020
14715820
15727120
16728220
17749820
18780320
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
x
(*.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 x #s(literal 1 binary64))
x
x
(*.f64 x #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize17.0ms (0.3%)

Memory
29.3MiB live, 29.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
accuracy99.8%
(*.f64 x (/.f64 #s(literal 1 binary64) x))
Samples
11.0ms256×0valid
Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (55% of total)
ival-div: 2.0ms (36.7% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (/.f64 #s(literal 1 binary64) x))>
Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(* x (* x (/ 1 x)))
0.0ms
x
@0
(* x (* x (/ 1 x)))
0.0ms
x
@inf
(* x (* x (/ 1 x)))
0.0ms
x
@0
(* x (/ 1 x))
0.0ms
x
@inf
(* x (/ 1 x))

rewrite61.0ms (1.1%)

Memory
-25.9MiB live, 12.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
329×associate-*r*
289×associate-*l*
271×times-frac
247×unpow-prod-down
238×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098
11118
27158
Stop Event
node limit
Counts
2 → 60
Calls
Call 1
Inputs
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) x))
Outputs
#s(literal -6 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -5/2 binary64)
#s(literal -2 binary64)
#s(literal -3/2 binary64)
#s(literal -1 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/4 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal -6 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -5/2 binary64)
#s(literal -2 binary64)
#s(literal -3/2 binary64)
#s(literal -1 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/4 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)

simplify8.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034120
139120
Stop Event
saturated
Counts
84 → 31
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal -6 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -5/2 binary64)
#s(literal -2 binary64)
#s(literal -3/2 binary64)
#s(literal -1 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/4 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal -6 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -5/2 binary64)
#s(literal -2 binary64)
#s(literal -3/2 binary64)
#s(literal -1 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/4 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal -6 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -5/2 binary64)
#s(literal -2 binary64)
#s(literal -3/2 binary64)
#s(literal -1 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/4 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal -6 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -5/2 binary64)
#s(literal -2 binary64)
#s(literal -3/2 binary64)
#s(literal -1 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/4 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)

eval10.0ms (0.2%)

Memory
21.2MiB live, 21.2MiB allocated
Compiler

Compiled 590 to 243 computations (58.8% saved)

prune28.0ms (0.5%)

Memory
-21.2MiB live, 33.2MiB allocated
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New78381
Fresh000
Picked101
Done066
Total79988
Accuracy
100.0%
Counts
88 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
63.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
61.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
61.6%
(*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
100.0%
(log1p.f64 x)
62.4%
x
8.0%
#s(literal 9 binary64)
7.8%
#s(literal 3 binary64)
7.6%
#s(literal 1/2 binary64)
Compiler

Compiled 117 to 75 computations (35.9% saved)

regimes28.0ms (0.5%)

Memory
-21.3MiB live, 17.2MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
x
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))
Outputs
(log1p.f64 x)
Calls

3 calls:

20.0ms
(log.f64 (+.f64 #s(literal 1 binary64) x))
4.0ms
x
3.0ms
(+.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(log.f64 (+.f64 #s(literal 1 binary64) x))
100.0%1(+.f64 #s(literal 1 binary64) x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
x
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
#s(literal 9 binary64)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
67.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
x
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
#s(literal 9 binary64)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
67.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
x
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
#s(literal 9 binary64)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
67.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Memory
-31.8MiB live, 7.1MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
x
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
Outputs
x
#s(literal 9 binary64)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
66.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
Outputs
#s(literal 9 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
8.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 3 binary64)
Outputs
#s(literal 3 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
7.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory
3.2MiB live, 3.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
Outputs
#s(literal 1/2 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
7.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch8.0ms (0.2%)

Memory
16.9MiB live, 16.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
0.7546958417866132
15.764856177452447
Samples
4.0ms112×0valid
Compiler

Compiled 148 to 120 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (55.9% of total)
ival-log: 1.0ms (55.9% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.2%)

Memory
-24.1MiB live, 14.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
0.7546958417866132
15.764856177452447
Samples
5.0ms112×0valid
Compiler

Compiled 120 to 99 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 2.0ms (62.8% of total)
ival-log: 1.0ms (31.4% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
0.7546958417866132
15.764856177452447
Samples
4.0ms112×0valid
Compiler

Compiled 92 to 78 computations (15.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (54.3% of total)
ival-log: 1.0ms (54.3% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
0.7546958417866132
15.764856177452447
Samples
4.0ms112×0valid
Compiler

Compiled 50 to 43 computations (14% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (55.1% of total)
ival-log: 1.0ms (55.1% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Memory
-33.1MiB live, 8.2MiB allocated
Algorithm
egg-herbie
Rules
10×*-commutative
+-commutative
sub-neg
1-exp
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043187
164187
269187
371187
472187
Stop Event
saturated
Calls
Call 1
Inputs
(log1p.f64 x)
(if (<=.f64 x #s(literal 3512807709348987/2251799813685248 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))) #s(literal 9 binary64))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) #s(literal 9 binary64))
(if (<=.f64 x #s(literal 4165829655317709/2251799813685248 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 9 binary64))
(if (<=.f64 x #s(literal 9 binary64)) x #s(literal 9 binary64))
#s(literal 9 binary64)
#s(literal 3 binary64)
#s(literal 1/2 binary64)
Outputs
(log1p.f64 x)
(if (<=.f64 x #s(literal 3512807709348987/2251799813685248 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))) #s(literal 9 binary64))
(if (<=.f64 x #s(literal 3512807709348987/2251799813685248 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1/2 binary64))))) #s(literal 9 binary64))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) #s(literal 9 binary64))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))) #s(literal 9 binary64))
(if (<=.f64 x #s(literal 4165829655317709/2251799813685248 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 9 binary64))
(if (<=.f64 x #s(literal 9 binary64)) x #s(literal 9 binary64))
#s(literal 9 binary64)
#s(literal 3 binary64)
#s(literal 1/2 binary64)

soundness170.0ms (3.1%)

Memory
37.1MiB live, 145.8MiB allocated
Rules
465×fmm-def
329×associate-*r*
322×associate-*r*
289×associate-*l*
282×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02051742
14291670
29621639
336291579
098
11118
27158
01344
12844
23744
34644
46044
57444
69144
79544
Stop Event
fuel
saturated
node limit
node limit
Compiler

Compiled 82 to 49 computations (40.2% saved)

preprocess63.0ms (1.2%)

Memory
6.1MiB live, 123.5MiB allocated
Compiler

Compiled 170 to 96 computations (43.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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