Rust f64::asinh

Time bar (total: 9.0s)

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 4 to 4 computations (0% saved)

sample475.0ms (5.3%)

Memory
19.4MiB live, 797.2MiB allocated
Samples
309.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-asinh: 83.0ms (90.8% of total)
ival-true: 5.0ms (5.5% of total)
ival-assert: 3.0ms (3.3% of total)
Bogosity

preprocess15.0ms (0.2%)

Memory
-3.5MiB live, 34.4MiB allocated
Algorithm
egg-herbie
Rules
12×sub-neg
lower-+.f32
+-commutative
lift-+.f64
lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1107
2147
3177
4217
5287
6357
0912
01612
12012
02011
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)

explain311.0ms (3.5%)

Memory
0.8MiB live, 412.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1320-0-(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
550-0-(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(fabs.f64 x)
00-0-(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
00-0-(*.f64 x x)
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))sensitivity1320
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))oflow-rescue550
(*.f64 x x)overflow55
(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow55
Confusion
Predicted +Predicted -
+1870
-069
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18700
-0069
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
069
1187
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
110.0ms112×2valid
61.0ms142×1valid
24.0ms258×0valid
Compiler

Compiled 128 to 40 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 174.0ms
ival-log: 112.0ms (64.3% of total)
ival-copysign: 20.0ms (11.5% of total)
ival-hypot: 20.0ms (11.5% of total)
adjust: 8.0ms (4.6% of total)
ival-add: 7.0ms (4% of total)
ival-mult: 4.0ms (2.3% of total)
ival-fabs: 3.0ms (1.7% of total)
ival-true: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.8%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Memory
11.3MiB live, 11.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
cost-diff0
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
cost-diff128
(+.f64 (*.f64 x x) #s(literal 1 binary64))
Rules
lower-+.f32
lift-+.f64
lower-+.f64
+-commutative
lift-sqrt.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0949
01649
12049
02044
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(fabs.f64 x)
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fabs.f64 x)
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

localize74.0ms (0.8%)

Memory
-1.7MiB live, 153.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy80.0%
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy52.6%
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Samples
27.0ms56×2valid
17.0ms71×1valid
16.0ms129×0valid
Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-log: 20.0ms (41.3% of total)
ival-hypot: 10.0ms (20.7% of total)
ival-add: 7.0ms (14.5% of total)
ival-copysign: 4.0ms (8.3% of total)
adjust: 3.0ms (6.2% of total)
ival-fabs: 3.0ms (6.2% of total)
ival-mult: 2.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 x x) #s(literal 1 binary64))>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)>
#<alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))>
#<alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))>
#<alt (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))>
#<alt (fabs.f64 x)>
Outputs
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
1.0ms
x
@inf
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
0.0ms
x
@inf
(+ (fabs x) (sqrt (+ (* x x) 1)))
0.0ms
x
@-inf
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
0.0ms
x
@inf
(+ (* x x) 1)

rewrite447.0ms (5%)

Memory
-19.9MiB live, 501.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 872×lower-fma.f64
5 872×lower-fma.f32
3 070×lower-*.f32
3 068×lower-*.f64
2 316×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0944
01644
15144
232444
3341944
0835239
Stop Event
iter limit
node limit
iter limit
Counts
6 → 279
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(fabs.f64 x)
Outputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (log1p.f64 (*.f64 x x)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 x x))) #s(literal -1 binary64)))
(hypot.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(hypot.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(hypot.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(hypot.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(hypot.f64 (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(hypot.f64 (*.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fabs.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (neg.f64 x))) #s(literal 1 binary64))
(neg.f64 (fma.f64 x (neg.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(*.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (fma.f64 x (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))))) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))) (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 x x (fma.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x #s(literal -1 binary64))))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (log.f64 (fabs.f64 x)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(fabs.f64 x)
(fabs.f64 (neg.f64 x))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(pow.f64 (fabs.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))

simplify658.0ms (7.3%)

Memory
1.0MiB live, 919.3MiB allocated
Algorithm
egg-herbie
Rules
24 610×lower-fma.f64
24 610×lower-fma.f32
4 994×lower-*.f64
4 994×lower-*.f32
4 040×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169782
1490754
21511741
35413691
08421635
Stop Event
iter limit
node limit
Counts
72 → 70
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 45 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 30 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (log.f64 x) (fma.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (/.f64 (fabs.f64 x) x))))
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (fma.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f64 x (fabs.f64 x))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(+.f64 (fma.f64 x (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) (fabs.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 x (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(+.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)

eval89.0ms (1%)

Memory
-28.3MiB live, 104.5MiB allocated
Compiler

Compiled 10 251 to 1 598 computations (84.4% saved)

prune45.0ms (0.5%)

Memory
32.1MiB live, 109.8MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New33712349
Fresh000
Picked101
Done000
Total33812350
Accuracy
100.0%
Counts
350 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
53.5%
(copysign.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) x)
31.8%
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
65.8%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
26.8%
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
25.6%
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
31.8%
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
9.9%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)
25.9%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
19.0%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
26.4%
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
8.9%
(copysign.f64 (log.f64 x) x)
Compiler

Compiled 304 to 190 computations (37.5% saved)

simplify40.0ms (0.4%)

Memory
-31.9MiB live, 49.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (fabs.f64 x) x)
cost-diff0
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))
cost-diff0
(log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x)))
cost-diff0
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
cost-diff0
(fabs.f64 x)
cost-diff0
(+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff0
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)
cost-diff192
(log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff0
(fabs.f64 x)
cost-diff0
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
cost-diff0
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
cost-diff192
(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
cost-diff0
(log.f64 x)
cost-diff0
(copysign.f64 (log.f64 x) x)
cost-diff0
(fabs.f64 x)
cost-diff0
(log1p.f64 (fabs.f64 x))
cost-diff0
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
Rules
712×lower-fma.f32
710×lower-fma.f64
280×lower-*.f32
278×lower-*.f64
208×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022122
042118
157118
276118
3101118
4156118
5282118
6446118
7663118
8776118
9835118
10851118
0851114
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
x
(copysign.f64 (log.f64 x) x)
(log.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(fabs.f64 x)
x
#s(literal 1 binary64)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)
(log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fabs.f64 x)
x
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
(log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
x
(copysign.f64 (log.f64 x) x)
(log.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(log1p.f64 (fabs.f64 x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(fabs.f64 x)
x
#s(literal 1 binary64)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(fabs.f64 x)
x
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
(log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)

localize114.0ms (1.3%)

Memory
35.8MiB live, 149.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (fabs.f64 x) x)
accuracy100.0%
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))
accuracy100.0%
(log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x)))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
accuracy100.0%
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
accuracy100.0%
(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(copysign.f64 (log.f64 x) x)
accuracy100.0%
(log.f64 x)
accuracy100.0%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
accuracy100.0%
(log1p.f64 (fabs.f64 x))
accuracy100.0%
(fabs.f64 x)
Samples
72.0ms256×0invalid
Compiler

Compiled 132 to 23 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 26.0ms (45% of total)
ival-log: 8.0ms (13.9% of total)
ival-copysign: 7.0ms (12.1% of total)
ival-add: 5.0ms (8.7% of total)
ival-log1p: 5.0ms (8.7% of total)
ival-div: 4.0ms (6.9% of total)
ival-fabs: 2.0ms (3.5% of total)
ival-sub: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series160.0ms (1.8%)

Memory
8.4MiB live, 238.6MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (copysign.f64 (log1p.f64 (fabs.f64 x)) x)>
#<alt (log1p.f64 (fabs.f64 x))>
#<alt (fabs.f64 x)>
#<alt (copysign.f64 (log.f64 x) x)>
#<alt (log.f64 x)>
#<alt (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)>
#<alt (+.f64 (fabs.f64 x) #s(literal 1 binary64))>
#<alt (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)>
#<alt (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)>
#<alt (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x)))>
#<alt (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))>
#<alt (-.f64 (fabs.f64 x) x)>
#<alt (*.f64 x #s(literal 1/2 binary64))>
Outputs
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -2 (* x (fabs x))) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2)))))))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -16 (pow (fabs x) 3)) (* 24 (fabs x))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)>
#<alt (/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)>
#<alt (* -1 x)>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* -1 x))>
#<alt (+ (fabs x) (* -1 x))>
#<alt (+ (fabs x) (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
Calls

48 calls:

TimeVariablePointExpression
48.0ms
x
@0
(log x)
32.0ms
x
@-inf
(log (+ 1 (fabs x)))
32.0ms
x
@0
(log (+ 1 (fabs x)))
20.0ms
x
@inf
(log (+ 1 (fabs x)))
14.0ms
x
@-inf
(log x)

rewrite355.0ms (3.9%)

Memory
-6.6MiB live, 654.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 584×lower-/.f32
4 582×lower-/.f64
4 400×lower-fma.f32
4 398×lower-fma.f64
4 184×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02298
04294
112694
2105394
0840690
Stop Event
iter limit
node limit
iter limit
Counts
16 → 359
Calls
Call 1
Inputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
(copysign.f64 (log.f64 x) x)
(log.f64 x)
(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)
(+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
(log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (fabs.f64 x) x)
(*.f64 x #s(literal 1/2 binary64))
Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal -1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 (fabs.f64 x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (*.f64 x x))) (fma.f64 (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (*.f64 x x))) (fma.f64 (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64))) (log.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64))) (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (fabs.f64 x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 (*.f64 x x))) (fma.f64 (log1p.f64 (neg.f64 (fabs.f64 x))) (log1p.f64 (neg.f64 (fabs.f64 x))) (*.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 (fabs.f64 x)))))))
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
(fabs.f64 (neg.f64 x))
(fabs.f64 (neg.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 x))))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(*.f64 (fabs.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))
(copysign.f64 (log.f64 x) x)
(log.f64 x)
(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (fabs.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (fabs.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x (fabs.f64 x))) (/.f64 (*.f64 x x) (+.f64 x (fabs.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x (fabs.f64 x))) (/.f64 (*.f64 x x) (+.f64 x (fabs.f64 x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x (fabs.f64 x))) (/.f64 (*.f64 x x) (+.f64 x (fabs.f64 x)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) x)) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (fabs.f64 x)) (*.f64 x x))))
(*.f64 (fma.f64 x x (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (fabs.f64 x))))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)

simplify464.0ms (5.1%)

Memory
11.4MiB live, 620.1MiB allocated
Algorithm
egg-herbie
Rules
13 416×lower-fma.f64
13 416×lower-fma.f32
5 006×lower-*.f64
5 006×lower-*.f32
4 040×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01981669
15221616
215321520
347951507
081141322
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -2 (* x (fabs x))) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2)))))))))
(+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -16 (pow (fabs x) 3)) (* 24 (fabs x))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(/ -1/2 x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)
(/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(fabs x)
(+ (fabs x) (* -1 x))
(+ (fabs x) (* -1 x))
(+ (fabs x) (* -1 x))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
Outputs
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) #s(literal 1/24 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))) (log.f64 #s(literal 1/2 binary64)))
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(fma.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))) (fma.f64 (fma.f64 (fabs.f64 x) #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))) (log.f64 #s(literal 1/2 binary64))))
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(+ (log 1/2) (* -2 (log (/ -1 x))))
(fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (log.f64 #s(literal 1/2 binary64)))
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(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (log.f64 (neg.f64 x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (log.f64 (neg.f64 x)))) (fma.f64 (fma.f64 (fabs.f64 x) #s(literal 8/3 binary64) #s(literal 8/3 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x)))))
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1 binary64))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1 binary64))
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) x)
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (+ (* -2 (* x (fabs x))) (* -1 (log x))))
(fma.f64 x (*.f64 (fabs.f64 x) #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2)))))))))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (fabs.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal -1/2 binary64))) (log.f64 x))
(+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -16 (pow (fabs x) 3)) (* 24 (fabs x))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) (fma.f64 (*.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal -16 binary64)) #s(literal 24 binary64))) (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (*.f64 (fabs.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal -1/2 binary64))) (log.f64 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))
(+.f64 (log.f64 x) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (fabs.f64 x) x)))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (log.f64 x)) (/.f64 (fabs.f64 x) x)))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))))
(fma.f64 (*.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (log.f64 x)) (/.f64 (fabs.f64 x) x))))
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* x (fabs x)) 1/2) x)
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 x)
(neg.f64 x)
(* x (- (/ (fabs x) x) 1))
(-.f64 (fabs.f64 x) x)
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(fabs x)
(fabs.f64 x)
(+ (fabs x) (* -1 x))
(-.f64 (fabs.f64 x) x)
(+ (fabs x) (* -1 x))
(-.f64 (fabs.f64 x) x)
(+ (fabs x) (* -1 x))
(-.f64 (fabs.f64 x) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ (fabs x) x) 1))
(-.f64 (fabs.f64 x) x)
(* x (- (/ (fabs x) x) 1))
(-.f64 (fabs.f64 x) x)
(* x (- (/ (fabs x) x) 1))
(-.f64 (fabs.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))

eval90.0ms (1%)

Memory
-17.6MiB live, 196.5MiB allocated
Compiler

Compiled 13 680 to 1 820 computations (86.7% saved)

prune52.0ms (0.6%)

Memory
16.8MiB live, 136.6MiB allocated
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New6071608
Fresh167
Picked055
Done000
Total60812620
Accuracy
100.0%
Counts
620 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(copysign.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) x)
31.8%
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
57.1%
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
65.8%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
26.8%
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
25.6%
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
31.8%
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
9.9%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)
25.9%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
19.0%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
26.4%
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
8.9%
(copysign.f64 (log.f64 x) x)
Compiler

Compiled 250 to 154 computations (38.4% saved)

simplify51.0ms (0.6%)

Memory
-23.1MiB live, 55.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
cost-diff0
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
cost-diff0
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
cost-diff0
(fabs.f64 x)
cost-diff0
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
cost-diff0
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
cost-diff0
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
cost-diff0
(fabs.f64 x)
cost-diff0
(-.f64 (fabs.f64 x) x)
cost-diff0
(log.f64 (-.f64 (fabs.f64 x) x))
cost-diff0
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
cost-diff0
(fabs.f64 x)
cost-diff0
(+.f64 x (fabs.f64 x))
cost-diff0
(log.f64 (+.f64 x (fabs.f64 x)))
cost-diff0
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
cost-diff0
(log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
cost-diff0
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
Rules
864×lower-fma.f32
860×lower-fma.f64
344×lower-*.f32
342×lower-*.f64
264×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024151
048151
166151
284151
393151
4102151
5157151
6186151
7255151
8458151
9658151
10896151
11961151
12986151
131003151
141009151
01009151
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fabs.f64 x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(log.f64 (+.f64 x (fabs.f64 x)))
(+.f64 x (fabs.f64 x))
x
(fabs.f64 x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(log.f64 (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(fabs.f64 x)
x
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fabs.f64 x)
Outputs
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fabs.f64 x))) x)
(log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
(log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fabs.f64 x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fabs.f64 x))
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fabs.f64 x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(log.f64 (+.f64 x (fabs.f64 x)))
(+.f64 x (fabs.f64 x))
x
(fabs.f64 x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(log.f64 (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(fabs.f64 x)
x
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fabs.f64 x)

localize132.0ms (1.5%)

Memory
1.0MiB live, 157.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
accuracy100.0%
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy100.0%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
accuracy100.0%
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
accuracy100.0%
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
accuracy100.0%
(-.f64 (fabs.f64 x) x)
accuracy100.0%
(log.f64 (-.f64 (fabs.f64 x) x))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
accuracy100.0%
(+.f64 x (fabs.f64 x))
accuracy100.0%
(log.f64 (+.f64 x (fabs.f64 x)))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
accuracy100.0%
(fabs.f64 x)
Samples
60.0ms256×0invalid
Compiler

Compiled 165 to 28 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-copysign: 9.0ms (20.9% of total)
ival-log: 9.0ms (20.9% of total)
ival-add: 8.0ms (18.6% of total)
ival-mult: 5.0ms (11.6% of total)
ival-hypot: 4.0ms (9.3% of total)
ival-div: 2.0ms (4.6% of total)
ival-log1p: 2.0ms (4.6% of total)
ival-fabs: 1.0ms (2.3% of total)
ival-sub: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)>
#<alt (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)>
#<alt (log.f64 (+.f64 x (fabs.f64 x)))>
#<alt (+.f64 x (fabs.f64 x))>
#<alt (fabs.f64 x)>
#<alt (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)>
#<alt (log.f64 (-.f64 (fabs.f64 x) x))>
#<alt (-.f64 (fabs.f64 x) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)>
#<alt (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))>
#<alt (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)>
#<alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))>
#<alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))>
#<alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))>
#<alt (+.f64 x (/.f64 #s(literal 1/2 binary64) x))>
Outputs
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (log (fabs x))>
#<alt (+ (log (fabs x)) (/ x (fabs x)))>
#<alt (+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))>
#<alt (+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/3 (/ (pow (fabs x) 3) x))) x))) x))))>
#<alt (fabs x)>
#<alt (+ x (fabs x))>
#<alt (+ x (fabs x))>
#<alt (+ x (fabs x))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (log (fabs x))>
#<alt (+ (log (fabs x)) (* -1 (/ x (fabs x))))>
#<alt (+ (log (fabs x)) (* x (- (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))>
#<alt (+ (log (fabs x)) (* x (- (* x (- (* -1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* -1/2 (/ (pow (fabs x) 2) (pow x 2))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (* -1/3 (/ (pow (fabs x) 3) (pow x 3)))))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/3 (/ (pow (fabs x) 3) x))) x))) x)))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* -1 x))>
#<alt (+ (fabs x) (* -1 x))>
#<alt (+ (fabs x) (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)>
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)>
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)>
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* 2 (* x (fabs x)))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))) (* 2 (fabs x))))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -24 (fabs x)) (* 16 (pow (fabs x) 3))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* x (fabs x))) x)>
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) x)>
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) x)>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
Calls

57 calls:

TimeVariablePointExpression
0.0ms
x
@0
(log (+ (fabs x) (+ x (/ 1/2 x))))
0.0ms
x
@0
(log (+ x (fabs x)))
0.0ms
x
@0
(log (- (fabs x) x))
0.0ms
x
@-inf
(log (+ x (fabs x)))
0.0ms
x
@inf
(log (+ x (fabs x)))

rewrite551.0ms (6.1%)

Memory
5.1MiB live, 562.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 032×lower-fma.f32
7 028×lower-fma.f64
4 352×lower-/.f32
4 350×lower-/.f64
3 932×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024128
048128
1159128
21290128
08549128
Stop Event
iter limit
node limit
iter limit
Counts
19 → 447
Calls
Call 1
Inputs
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
(*.f64 x #s(literal 1/2 binary64))
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(log.f64 (+.f64 x (fabs.f64 x)))
(+.f64 x (fabs.f64 x))
(fabs.f64 x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(log.f64 (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
Outputs
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(log.f64 (+.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)))
(+.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) (log.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) (log1p.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))))
(-.f64 (log.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x))))))
(-.f64 (log.f64 (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) #s(literal 1 binary64))) (log.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x x))) (log.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) (fma.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)))) (*.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) (log1p.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) (fma.f64 (log1p.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) (log1p.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) (*.f64 (log1p.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) (log1p.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))))))
(log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (fabs.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fabs.f64 x))
(+.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (-.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fabs.f64 x))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (fabs.f64 x))
(fma.f64 (fabs.f64 x) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (fabs.f64 x))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (fabs.f64 x))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))
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(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal 2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (*.f64 x x) (/.f64 x (*.f64 x #s(literal 2 binary64))))) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) x) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (*.f64 x x) (/.f64 x (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (*.f64 x x) (/.f64 x (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 x x))))
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (*.f64 x x) (/.f64 x (*.f64 x #s(literal 2 binary64)))))))
(*.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 x x)))))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) x)))

simplify592.0ms (6.6%)

Memory
27.5MiB live, 896.8MiB allocated
Algorithm
egg-herbie
Rules
14 564×lower-fma.f64
14 564×lower-fma.f32
5 380×lower-+.f64
5 380×lower-+.f32
4 906×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03872608
110592493
231822395
083842227
Stop Event
iter limit
node limit
Counts
228 → 220
Calls
Call 1
Inputs
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(fabs x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(log (fabs x))
(+ (log (fabs x)) (/ x (fabs x)))
(+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))
(+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/3 (/ (pow (fabs x) 3) x))) x))) x))))
(fabs x)
(+ x (fabs x))
(+ x (fabs x))
(+ x (fabs x))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (/ (fabs x) x)))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(log (fabs x))
(+ (log (fabs x)) (* -1 (/ x (fabs x))))
(+ (log (fabs x)) (* x (- (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))
(+ (log (fabs x)) (* x (- (* x (- (* -1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* -1/2 (/ (pow (fabs x) 2) (pow x 2))))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (* -1/3 (/ (pow (fabs x) 3) (pow x 3)))))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/3 (/ (pow (fabs x) 3) x))) x))) x)))
(fabs x)
(+ (fabs x) (* -1 x))
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(+ (fabs x) (* -1 x))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (+ (* -1 (log x)) (* 2 (* x (fabs x)))))
(+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))) (* 2 (fabs x))))))
(+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -24 (fabs x)) (* 16 (pow (fabs x) 3))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))
(/ 1/2 x)
(/ (+ 1/2 (* x (fabs x))) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(/ 1/2 x)
(/ (+ 1/2 (pow x 2)) x)
(/ (+ 1/2 (pow x 2)) x)
(/ (+ 1/2 (pow x 2)) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
Outputs
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))) (log.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))) (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (pow.f64 x #s(literal 6 binary64))) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 x x) (*.f64 x x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 x x) (*.f64 x x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (pow.f64 x #s(literal 6 binary64))) (log.f64 #s(literal 1/2 binary64))))
(fabs x)
(fabs.f64 x)
(+ (fabs x) (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
(+ (fabs x) (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
(+ (fabs x) (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (*.f64 x x))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (*.f64 x x))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (*.f64 x x))))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (*.f64 x x))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (*.f64 x x))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (*.f64 x x))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(log (fabs x))
(log.f64 (fabs.f64 x))
(+ (log (fabs x)) (/ x (fabs x)))
(+.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x)))
(+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))
(+.f64 (log.f64 (fabs.f64 x)) (+.f64 (/.f64 x (fabs.f64 x)) #s(literal -1/2 binary64)))
(+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))
(+.f64 (log.f64 (fabs.f64 x)) (+.f64 (/.f64 x (fabs.f64 x)) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (fabs.f64 x) (*.f64 x x))) #s(literal -1/2 binary64))))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 (fabs.f64 x) x) #s(literal -1/2 binary64)))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))
(+.f64 (log.f64 x) (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+.f64 (/.f64 (fabs.f64 x) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (fabs.f64 x) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/3 (/ (pow (fabs x) 3) x))) x))) x))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) x))) x)) x))
(fabs x)
(fabs.f64 x)
(+ x (fabs x))
(+.f64 x (fabs.f64 x))
(+ x (fabs x))
(+.f64 x (fabs.f64 x))
(+ x (fabs x))
(+.f64 x (fabs.f64 x))
x
(* x (+ 1 (/ (fabs x) x)))
(fma.f64 x (/.f64 (fabs.f64 x) x) x)
(* x (+ 1 (/ (fabs x) x)))
(fma.f64 x (/.f64 (fabs.f64 x) x) x)
(* x (+ 1 (/ (fabs x) x)))
(fma.f64 x (/.f64 (fabs.f64 x) x) x)
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(fma.f64 x (/.f64 (fabs.f64 x) x) x)
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(fma.f64 x (/.f64 (fabs.f64 x) x) x)
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(fma.f64 x (/.f64 (fabs.f64 x) x) x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(copysign (log (- (fabs x) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(log (fabs x))
(log.f64 (fabs.f64 x))
(+ (log (fabs x)) (* -1 (/ x (fabs x))))
(-.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x)))
(+ (log (fabs x)) (* x (- (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))
(+.f64 (log.f64 (fabs.f64 x)) (-.f64 #s(literal -1/2 binary64) (/.f64 x (fabs.f64 x))))
(+ (log (fabs x)) (* x (- (* x (- (* -1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))
(+.f64 (fma.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (*.f64 (fabs.f64 x) (*.f64 x x))) #s(literal -1/2 binary64)) (-.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (/.f64 (fabs.f64 x) x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* -1/2 (/ (pow (fabs x) 2) (pow x 2))))))
(+.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 x) x)))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (* -1/3 (/ (pow (fabs x) 3) (pow x 3)))))))
(+.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (-.f64 (fma.f64 (/.f64 (fabs.f64 x) x) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fabs.f64 x) x)))
(* -1 (log (/ -1 x)))
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(/.f64 (fma.f64 x x #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f64 (fma.f64 x x #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f64 (fma.f64 x x #s(literal 1/2 binary64)) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 x (*.f64 x x)) #s(literal 1/2 binary64) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 x (*.f64 x x)) #s(literal 1/2 binary64) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 x (*.f64 x x)) #s(literal 1/2 binary64) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 x (*.f64 x x)) #s(literal 1/2 binary64) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 x (*.f64 x x)) #s(literal 1/2 binary64) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 x (*.f64 x x)) #s(literal 1/2 binary64) x)

eval104.0ms (1.2%)

Memory
-13.4MiB live, 235.7MiB allocated
Compiler

Compiled 17 001 to 2 469 computations (85.5% saved)

prune106.0ms (1.2%)

Memory
-18.6MiB live, 182.1MiB allocated
Pruning

14 alts after pruning (4 fresh and 10 done)

PrunedKeptTotal
New7354739
Fresh202
Picked055
Done055
Total73714751
Accuracy
100.0%
Counts
751 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
31.8%
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
57.1%
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
30.7%
(copysign.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))) x)
65.8%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
25.0%
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
26.8%
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
25.6%
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
31.8%
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
9.9%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)
25.9%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
19.0%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
26.4%
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
8.9%
(copysign.f64 (log.f64 x) x)
Compiler

Compiled 177 to 107 computations (39.5% saved)

simplify272.0ms (3%)

Memory
-15.6MiB live, 433.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
cost-diff192
(fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
cost-diff1024
(fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
cost-diff0
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
cost-diff256
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
cost-diff576
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
cost-diff0
(log1p.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))))
cost-diff0
(copysign.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))) x)
cost-diff128
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))
cost-diff448
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
cost-diff0
(log.f64 (/.f64 #s(literal 1/2 binary64) x))
cost-diff0
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
Rules
7 612×lower-fma.f32
7 602×lower-fma.f64
2 952×lower-*.f32
2 944×lower-*.f64
2 358×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035336
069333
1122315
2259305
3641299
41348299
52094299
63621299
75400299
08095289
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(log.f64 (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(copysign.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))) x)
(log1p.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/4 binary64)
(neg.f64 (*.f64 x x))
(-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fabs.f64 x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
#s(literal 1 binary64)
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fabs.f64 x)
x
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
(fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(*.f64 x x)
x
(fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
#s(literal -1/8 binary64)
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
#s(literal 1 binary64)
(fabs.f64 x)
(fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
#s(literal 1/2 binary64)
(log1p.f64 (fabs.f64 x))
Outputs
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(log.f64 (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(copysign.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))) x)
(copysign.f64 (log1p.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/4 binary64))) x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fabs.f64 x)))) x)
(log1p.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))))
(log1p.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/4 binary64))) x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fabs.f64 x))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/4 binary64))) x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fabs.f64 x)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x x)
x
#s(literal 1/4 binary64)
(neg.f64 (*.f64 x x))
(-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fabs.f64 x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(fabs.f64 x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
#s(literal 1 binary64)
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fabs.f64 x)
x
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (+.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) x)
(fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (+.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(*.f64 x x)
x
(fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
#s(literal -1/8 binary64)
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(fabs.f64 x)
(fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 x (+.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(log1p.f64 (fabs.f64 x))

localize238.0ms (2.6%)

Memory
31.5MiB live, 180.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy100.0%
(fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
accuracy89.5%
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy89.4%
(fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
accuracy100.0%
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
accuracy89.5%
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy76.6%
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
accuracy99.9%
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy91.0%
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x)))
accuracy89.0%
(log1p.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))))
accuracy72.1%
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))
accuracy100.0%
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(log.f64 (/.f64 #s(literal 1/2 binary64) x))
Samples
68.0ms30×2valid
38.0ms129×0invalid
31.0ms64×0valid
19.0ms33×1valid
Compiler

Compiled 368 to 40 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-mult: 24.0ms (25.6% of total)
ival-log: 15.0ms (16% of total)
ival-div: 12.0ms (12.8% of total)
ival-add: 10.0ms (10.7% of total)
ival-copysign: 9.0ms (9.6% of total)
ival-hypot: 7.0ms (7.5% of total)
adjust: 6.0ms (6.4% of total)
ival-log1p: 5.0ms (5.3% of total)
ival-neg: 3.0ms (3.2% of total)
ival-sub: 2.0ms (2.1% of total)
ival-fabs: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series115.0ms (1.3%)

Memory
9.1MiB live, 81.0MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#<alt (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (log.f64 (/.f64 #s(literal 1/2 binary64) x))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x)))>
#<alt (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))>
#<alt (copysign.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))) x)>
#<alt (log1p.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))))>
#<alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))>
#<alt (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))>
#<alt (copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))>
#<alt (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))>
#<alt (copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)>
#<alt (*.f64 x x)>
#<alt (*.f64 (*.f64 x x) (*.f64 x x))>
#<alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))>
#<alt (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))>
#<alt (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))>
#<alt (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>
Outputs
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (copysign (log (/ 1/2 x)) x)>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (* 1/4 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (* 1/4 (pow x 2)) 1))>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (- 1/4 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (- 1/4 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (- 1/4 (/ 1 (pow x 2))))>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (- 1/4 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (- 1/4 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (- 1/4 (/ 1 (pow x 2))))>
#<alt (/ (pow x 2) (fabs x))>
#<alt (* (pow x 2) (+ (* (pow x 2) (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x))))) (/ 1 (fabs x))))>
#<alt (* (pow x 2) (+ (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/2 (/ (* (pow x 2) (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x))))) (fabs x)))) (* 1/4 (/ 1 (fabs x))))) (/ 1 (fabs x))))>
#<alt (* (pow x 2) (+ (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow (fabs x) 2))) (* (pow x 2) (- (* 1/4 (/ (* (pow x 2) (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x))))) (pow (fabs x) 2))) (* -1/2 (/ (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x)))) (fabs x)))))) (* 1/4 (/ 1 (fabs x))))) (/ 1 (fabs x))))>
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#<alt (* (pow x 2) (- (+ 1/2 (* -2 (/ (* (fabs x) (+ 2 (* -1 (fabs x)))) (pow x 4)))) (+ (* -1 (/ (fabs x) (pow x 2))) (* 2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -4 (/ (* (pow (fabs x) 2) (+ 2 (* -1 (fabs x)))) (pow x 6)))) (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* 2 (/ (* (fabs x) (+ 2 (* -1 (fabs x)))) (pow x 4))) (* 2 (/ 1 (pow x 2)))))))>
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#<alt (* (pow x 2) (- (+ 1/2 (* -2 (/ (* (fabs x) (+ 2 (* -1 (fabs x)))) (pow x 4)))) (+ (* -1 (/ (fabs x) (pow x 2))) (* 2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -4 (/ (* (pow (fabs x) 2) (+ 2 (* -1 (fabs x)))) (pow x 6)))) (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* 2 (/ (* (fabs x) (+ 2 (* -1 (fabs x)))) (pow x 4))) (* 2 (/ 1 (pow x 2)))))))>
#<alt (copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)>
#<alt (copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)>
#<alt (copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)>
#<alt (copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)>
#<alt (copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)>
#<alt (copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)>
#<alt (copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)>
#<alt (copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)>
#<alt (copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)>
#<alt (copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)>
#<alt (copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)>
#<alt (copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)>
#<alt (/ (pow x 2) (fabs x))>
#<alt (* (pow x 2) (+ (* 1/24 (* (pow x 2) (- (* 24 (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x))))) (* 12 (/ 1 (pow (fabs x) 2)))))) (/ 1 (fabs x))))>
#<alt (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -720 (/ (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x)))) (fabs x))) (+ (* 240 (/ 1 (pow (fabs x) 3))) (* 720 (- (* 1/4 (/ 1 (pow (fabs x) 3))) (* 1/8 (/ 1 (pow (fabs x) 2))))))))) (* 1/24 (- (* 24 (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x))))) (* 12 (/ 1 (pow (fabs x) 2))))))) (/ 1 (fabs x))))>
#<alt (* (pow x 2) (+ (* (pow x 2) (+ (* 1/24 (- (* 24 (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x))))) (* 12 (/ 1 (pow (fabs x) 2))))) (* (pow x 2) (+ (* 1/40320 (* (pow x 2) (- (+ (* -40320 (/ (- (* 1/4 (/ 1 (pow (fabs x) 3))) (* 1/8 (/ 1 (pow (fabs x) 2)))) (fabs x))) (+ (* -20160 (pow (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x)))) 2)) (+ (* 40320 (- (* 1/8 (/ 1 (pow (fabs x) 4))) (* 1/16 (/ 1 (pow (fabs x) 3))))) (* 40320 (/ (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x)))) (pow (fabs x) 2)))))) (* 10080 (/ 1 (pow (fabs x) 4)))))) (* 1/720 (+ (* -720 (/ (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x)))) (fabs x))) (+ (* 240 (/ 1 (pow (fabs x) 3))) (* 720 (- (* 1/4 (/ 1 (pow (fabs x) 3))) (* 1/8 (/ 1 (pow (fabs x) 2)))))))))))) (/ 1 (fabs x))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* -2 (/ (+ 1 (* -1 (fabs x))) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (+ 1 (* -1 (fabs x))) (pow x 2))) (* 1/24 (/ (+ (* -48 (pow (+ 1 (* -1 (fabs x))) 2)) (* 48 (- (* -4 (fabs x)) (* -2 (pow (fabs x) 2))))) (pow x 4))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (+ 1 (* -1 (fabs x))) (pow x 2))) (+ (* 1/720 (/ (+ (* -1920 (pow (+ 1 (* -1 (fabs x))) 3)) (+ (* 1440 (- (* -8 (pow (fabs x) 2)) (* -4 (pow (fabs x) 3)))) (* 2880 (* (+ 1 (* -1 (fabs x))) (- (* -4 (fabs x)) (* -2 (pow (fabs x) 2))))))) (pow x 6))) (* 1/24 (/ (+ (* -48 (pow (+ 1 (* -1 (fabs x))) 2)) (* 48 (- (* -4 (fabs x)) (* -2 (pow (fabs x) 2))))) (pow x 4)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* -2 (/ (+ 1 (* -1 (fabs x))) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (+ 1 (* -1 (fabs x))) (pow x 2))) (* 1/24 (/ (+ (* -48 (pow (+ 1 (* -1 (fabs x))) 2)) (* 48 (- (* -4 (fabs x)) (* -2 (pow (fabs x) 2))))) (pow x 4))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (+ 1 (* -1 (fabs x))) (pow x 2))) (+ (* 1/720 (/ (+ (* -1920 (pow (+ 1 (* -1 (fabs x))) 3)) (+ (* 1440 (- (* -8 (pow (fabs x) 2)) (* -4 (pow (fabs x) 3)))) (* 2880 (* (+ 1 (* -1 (fabs x))) (- (* -4 (fabs x)) (* -2 (pow (fabs x) 2))))))) (pow x 6))) (* 1/24 (/ (+ (* -48 (pow (+ 1 (* -1 (fabs x))) 2)) (* 48 (- (* -4 (fabs x)) (* -2 (pow (fabs x) 2))))) (pow x 4)))))))>
#<alt (log (/ 1 (+ 1 (fabs x))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* -1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* 1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* (pow x 2) (+ (* 1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (log (/ 1 x))>
#<alt (+ (log (/ 1 x)) (* -1 (/ (fabs x) x)))>
#<alt (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2)))))>
#<alt (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (log (/ -1 x))>
#<alt (+ (log (/ -1 x)) (/ (fabs x) x))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))>
#<alt (- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))>
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#<alt (- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (- (/ (fabs x) x) (log (/ 1 x)))>
#<alt (- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x))))>
#<alt (- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (/ (fabs x) x)) (log (/ -1 x)))>
#<alt (- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (/ 1 (+ 1 (fabs x)))>
#<alt (+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))>
#<alt (/ 1 x)>
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#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ (fabs x) x)) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1/8 (/ (* (pow x 4) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))>
#<alt (* (pow x 4) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* (pow x 4) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))>
#<alt (* (pow x 4) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))>
#<alt (* -1/8 (/ (* (pow x 4) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))>
#<alt (* (pow x 4) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* (pow x 4) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))>
#<alt (* (pow x 4) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2)) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2)) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2)) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2)) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1/8 (/ (* (pow x 2) (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1/8 (/ (* (pow x 2) (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1/8 (/ (* (pow x 2) (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1/8 (/ (* (pow x 2) (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1/8 (/ (* (pow x 2) (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1/8 (/ (* (pow x 2) (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1/8 (/ (* (pow x 2) (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1/8 (/ (* (pow x 2) (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (+ (* -1/8 (/ (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))>
#<alt (+ (* -1/8 (/ (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))>
#<alt (+ (* -1/8 (/ (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))>
#<alt (* -1/8 (/ (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))>
#<alt (* (pow x 2) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* (pow x 2) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* (pow x 2) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* -1/8 (/ (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))>
#<alt (* (pow x 2) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* (pow x 2) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (* (pow x 2) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ (pow x 2) (+ 1 (fabs x)))>
#<alt (/ -1/8 (+ 1 (fabs x)))>
#<alt (/ -1/8 (+ 1 (fabs x)))>
#<alt (/ -1/8 (+ 1 (fabs x)))>
#<alt (/ -1/8 (+ 1 (fabs x)))>
#<alt (/ -1/8 (+ 1 (fabs x)))>
#<alt (/ -1/8 (+ 1 (fabs x)))>
#<alt (/ -1/8 (+ 1 (fabs x)))>
#<alt (/ -1/8 (+ 1 (fabs x)))>
#<alt (/ -1/8 (+ 1 (fabs x)))>
#<alt (/ -1/8 (+ 1 (fabs x)))>
#<alt (/ -1/8 (+ 1 (fabs x)))>
#<alt (/ -1/8 (+ 1 (fabs x)))>
Calls

63 calls:

TimeVariablePointExpression
34.0ms
x
@inf
(log (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))))
29.0ms
x
@inf
(log (/ 1/2 x))
13.0ms
x
@-inf
(log (/ 1/2 x))
12.0ms
x
@0
(log (/ 1/2 x))
2.0ms
x
@0
(log (+ 1 (/ (+ (* (* (* x x) (* x x)) 1/4) (neg (* x x))) (- (* x (* x 1/2)) (fabs x)))))

rewrite449.0ms (5%)

Memory
-9.8MiB live, 592.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 148×lower-fma.f32
5 138×lower-fma.f64
4 884×lower-/.f32
4 872×lower-/.f64
4 080×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035279
069266
1269218
22349218
08236215
Stop Event
iter limit
node limit
iter limit
Counts
21 → 666
Calls
Call 1
Inputs
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(log.f64 (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))
(copysign.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))) x)
(log1p.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
(*.f64 x x)
(*.f64 (*.f64 x x) (*.f64 x x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
Outputs
(copysign.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) x)
(log.f64 (/.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (*.f64 x #s(literal 2 binary64)))))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(neg.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(neg.f64 (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 (neg.f64 (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) (neg.f64 (*.f64 x x)))
(+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) (*.f64 x x))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x))))
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(*.f64 (/.f64 (fabs.f64 x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))))
(*.f64 (/.f64 (fabs.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -8 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -8 binary64)))))
(/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (neg.f64 (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))
(pow.f64 (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -8 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal -1/8 binary64))
(*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))

simplify711.0ms (7.9%)

Memory
15.7MiB live, 577.1MiB allocated
Algorithm
egg-herbie
Rules
10 588×lower-fma.f64
10 588×lower-fma.f32
6 304×lower-*.f64
6 304×lower-*.f32
2 908×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05134847
115804615
253464543
082314190
Stop Event
iter limit
node limit
Counts
252 → 250
Calls
Call 1
Inputs
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(* 1/4 (pow x 4))
(* (pow x 4) (- 1/4 (/ 1 (pow x 2))))
(* (pow x 4) (- 1/4 (/ 1 (pow x 2))))
(* (pow x 4) (- 1/4 (/ 1 (pow x 2))))
(* 1/4 (pow x 4))
(* (pow x 4) (- 1/4 (/ 1 (pow x 2))))
(* (pow x 4) (- 1/4 (/ 1 (pow x 2))))
(* (pow x 4) (- 1/4 (/ 1 (pow x 2))))
(/ (pow x 2) (fabs x))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x))))) (/ 1 (fabs x))))
(* (pow x 2) (+ (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/2 (/ (* (pow x 2) (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x))))) (fabs x)))) (* 1/4 (/ 1 (fabs x))))) (/ 1 (fabs x))))
(* (pow x 2) (+ (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow (fabs x) 2))) (* (pow x 2) (- (* 1/4 (/ (* (pow x 2) (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x))))) (pow (fabs x) 2))) (* -1/2 (/ (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x)))) (fabs x)))))) (* 1/4 (/ 1 (fabs x))))) (/ 1 (fabs x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 2 (* -1 (fabs x))) (pow x 2)))))
(* (pow x 2) (- (+ 1/2 (* -2 (/ (* (fabs x) (+ 2 (* -1 (fabs x)))) (pow x 4)))) (+ (* -1 (/ (fabs x) (pow x 2))) (* 2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ 1/2 (* -4 (/ (* (pow (fabs x) 2) (+ 2 (* -1 (fabs x)))) (pow x 6)))) (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* 2 (/ (* (fabs x) (+ 2 (* -1 (fabs x)))) (pow x 4))) (* 2 (/ 1 (pow x 2)))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 2 (* -1 (fabs x))) (pow x 2)))))
(* (pow x 2) (- (+ 1/2 (* -2 (/ (* (fabs x) (+ 2 (* -1 (fabs x)))) (pow x 4)))) (+ (* -1 (/ (fabs x) (pow x 2))) (* 2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ 1/2 (* -4 (/ (* (pow (fabs x) 2) (+ 2 (* -1 (fabs x)))) (pow x 6)))) (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* 2 (/ (* (fabs x) (+ 2 (* -1 (fabs x)))) (pow x 4))) (* 2 (/ 1 (pow x 2)))))))
(copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)
(copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)
(copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)
(copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)
(copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)
(copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)
(copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)
(copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)
(copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)
(copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)
(copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)
(copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)
(/ (pow x 2) (fabs x))
(* (pow x 2) (+ (* 1/24 (* (pow x 2) (- (* 24 (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x))))) (* 12 (/ 1 (pow (fabs x) 2)))))) (/ 1 (fabs x))))
(* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -720 (/ (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x)))) (fabs x))) (+ (* 240 (/ 1 (pow (fabs x) 3))) (* 720 (- (* 1/4 (/ 1 (pow (fabs x) 3))) (* 1/8 (/ 1 (pow (fabs x) 2))))))))) (* 1/24 (- (* 24 (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x))))) (* 12 (/ 1 (pow (fabs x) 2))))))) (/ 1 (fabs x))))
(* (pow x 2) (+ (* (pow x 2) (+ (* 1/24 (- (* 24 (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x))))) (* 12 (/ 1 (pow (fabs x) 2))))) (* (pow x 2) (+ (* 1/40320 (* (pow x 2) (- (+ (* -40320 (/ (- (* 1/4 (/ 1 (pow (fabs x) 3))) (* 1/8 (/ 1 (pow (fabs x) 2)))) (fabs x))) (+ (* -20160 (pow (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x)))) 2)) (+ (* 40320 (- (* 1/8 (/ 1 (pow (fabs x) 4))) (* 1/16 (/ 1 (pow (fabs x) 3))))) (* 40320 (/ (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x)))) (pow (fabs x) 2)))))) (* 10080 (/ 1 (pow (fabs x) 4)))))) (* 1/720 (+ (* -720 (/ (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x)))) (fabs x))) (+ (* 240 (/ 1 (pow (fabs x) 3))) (* 720 (- (* 1/4 (/ 1 (pow (fabs x) 3))) (* 1/8 (/ 1 (pow (fabs x) 2)))))))))))) (/ 1 (fabs x))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* -2 (/ (+ 1 (* -1 (fabs x))) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (+ 1 (* -1 (fabs x))) (pow x 2))) (* 1/24 (/ (+ (* -48 (pow (+ 1 (* -1 (fabs x))) 2)) (* 48 (- (* -4 (fabs x)) (* -2 (pow (fabs x) 2))))) (pow x 4))))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (+ 1 (* -1 (fabs x))) (pow x 2))) (+ (* 1/720 (/ (+ (* -1920 (pow (+ 1 (* -1 (fabs x))) 3)) (+ (* 1440 (- (* -8 (pow (fabs x) 2)) (* -4 (pow (fabs x) 3)))) (* 2880 (* (+ 1 (* -1 (fabs x))) (- (* -4 (fabs x)) (* -2 (pow (fabs x) 2))))))) (pow x 6))) (* 1/24 (/ (+ (* -48 (pow (+ 1 (* -1 (fabs x))) 2)) (* 48 (- (* -4 (fabs x)) (* -2 (pow (fabs x) 2))))) (pow x 4)))))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* -2 (/ (+ 1 (* -1 (fabs x))) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (+ 1 (* -1 (fabs x))) (pow x 2))) (* 1/24 (/ (+ (* -48 (pow (+ 1 (* -1 (fabs x))) 2)) (* 48 (- (* -4 (fabs x)) (* -2 (pow (fabs x) 2))))) (pow x 4))))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (+ 1 (* -1 (fabs x))) (pow x 2))) (+ (* 1/720 (/ (+ (* -1920 (pow (+ 1 (* -1 (fabs x))) 3)) (+ (* 1440 (- (* -8 (pow (fabs x) 2)) (* -4 (pow (fabs x) 3)))) (* 2880 (* (+ 1 (* -1 (fabs x))) (- (* -4 (fabs x)) (* -2 (pow (fabs x) 2))))))) (pow x 6))) (* 1/24 (/ (+ (* -48 (pow (+ 1 (* -1 (fabs x))) 2)) (* 48 (- (* -4 (fabs x)) (* -2 (pow (fabs x) 2))))) (pow x 4)))))))
(log (/ 1 (+ 1 (fabs x))))
(+ (log (/ 1 (+ 1 (fabs x)))) (* -1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* 1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* (pow x 2) (+ (* 1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(log (/ 1 x))
(+ (log (/ 1 x)) (* -1 (/ (fabs x) x)))
(+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2)))))
(+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))
(log (/ -1 x))
(+ (log (/ -1 x)) (/ (fabs x) x))
(+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 (log (/ 1 (+ 1 (fabs x)))))
(- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))
(- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(* -1 (log (/ 1 x)))
(- (/ (fabs x) x) (log (/ 1 x)))
(- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x))))
(- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))
(* -1 (log (/ -1 x)))
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(/ 1 (+ 1 (fabs x)))
(+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ (fabs x) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1/8 (/ (* (pow x 4) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))
(* (pow x 4) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 4) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(* (pow x 4) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(* -1/8 (/ (* (pow x 4) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))
(* (pow x 4) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 4) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(* (pow x 4) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))
(* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))
(* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))
(* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))
(* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))
(* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))
(* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))
(* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))
(* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))
(* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))
(* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))
(* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x)))))
(copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2)) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2)) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2)) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2)) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)
(copysign (+ (log (+ 1 (fabs x))) (+ (* -1/8 (/ (* (pow x 2) (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)
(copysign (+ (log (+ 1 (fabs x))) (+ (* -1/8 (/ (* (pow x 2) (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)
(copysign (+ (log (+ 1 (fabs x))) (+ (* -1/8 (/ (* (pow x 2) (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)
(copysign (+ (log (+ 1 (fabs x))) (+ (* -1/8 (/ (* (pow x 2) (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)
(copysign (+ (log (+ 1 (fabs x))) (+ (* -1/8 (/ (* (pow x 2) (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)
(copysign (+ (log (+ 1 (fabs x))) (+ (* -1/8 (/ (* (pow x 2) (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)
(copysign (+ (log (+ 1 (fabs x))) (+ (* -1/8 (/ (* (pow x 2) (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)
(copysign (+ (log (+ 1 (fabs x))) (+ (* -1/8 (/ (* (pow x 2) (+ (/ (pow x 2) (+ 1 (fabs x))) (pow x 2))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(/ 1/2 (+ 1 (fabs x)))
(+ (* -1/8 (/ (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(+ (* -1/8 (/ (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(+ (* -1/8 (/ (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(* -1/8 (/ (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))
(* (pow x 2) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 2) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 2) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* -1/8 (/ (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))
(* (pow x 2) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 2) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 2) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/ -1/8 (+ 1 (fabs x)))
(/ -1/8 (+ 1 (fabs x)))
(/ -1/8 (+ 1 (fabs x)))
(/ -1/8 (+ 1 (fabs x)))
(/ -1/8 (+ 1 (fabs x)))
(/ -1/8 (+ 1 (fabs x)))
(/ -1/8 (+ 1 (fabs x)))
(/ -1/8 (+ 1 (fabs x)))
(/ -1/8 (+ 1 (fabs x)))
(/ -1/8 (+ 1 (fabs x)))
(/ -1/8 (+ 1 (fabs x)))
(/ -1/8 (+ 1 (fabs x)))
Outputs
(copysign (log (/ 1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(+ (log 1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+ (log 1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+ (log 1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+ (log 1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+ (log 1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+ (log 1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+ (log 1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+ (log 1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+ (log -1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(* 1/4 (pow x 4))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/4 (/ 1 (pow x 2))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/4 (/ 1 (pow x 2))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/4 (/ 1 (pow x 2))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* 1/4 (pow x 4))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/4 (/ 1 (pow x 2))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/4 (/ 1 (pow x 2))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/4 (/ 1 (pow x 2))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ (pow x 2) (fabs x))
(/.f64 (*.f64 x x) (fabs.f64 x))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x))))) (/ 1 (fabs x))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(* (pow x 2) (+ (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/2 (/ (* (pow x 2) (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x))))) (fabs x)))) (* 1/4 (/ 1 (fabs x))))) (/ 1 (fabs x))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/4 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(* (pow x 2) (+ (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow (fabs x) 2))) (* (pow x 2) (- (* 1/4 (/ (* (pow x 2) (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x))))) (pow (fabs x) 2))) (* -1/2 (/ (- (* 1/2 (/ 1 (pow (fabs x) 2))) (* 1/4 (/ 1 (fabs x)))) (fabs x)))))) (* 1/4 (/ 1 (fabs x))))) (/ 1 (fabs x))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (fabs.f64 x))) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 2 (* -1 (fabs x))) (pow x 2)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (+ 1/2 (* -2 (/ (* (fabs x) (+ 2 (* -1 (fabs x)))) (pow x 4)))) (+ (* -1 (/ (fabs x) (pow x 2))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -2 binary64) (fabs.f64 x)) (/.f64 (-.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(* (pow x 2) (- (+ 1/2 (* -4 (/ (* (pow (fabs x) 2) (+ 2 (* -1 (fabs x)))) (pow x 6)))) (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* 2 (/ (* (fabs x) (+ 2 (* -1 (fabs x)))) (pow x 4))) (* 2 (/ 1 (pow x 2)))))))
(*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 2 binary64) (fabs.f64 x)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (/.f64 (-.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 x x)))))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 2 (* -1 (fabs x))) (pow x 2)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (+ 1/2 (* -2 (/ (* (fabs x) (+ 2 (* -1 (fabs x)))) (pow x 4)))) (+ (* -1 (/ (fabs x) (pow x 2))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -2 binary64) (fabs.f64 x)) (/.f64 (-.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(* (pow x 2) (- (+ 1/2 (* -4 (/ (* (pow (fabs x) 2) (+ 2 (* -1 (fabs x)))) (pow x 6)))) (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* 2 (/ (* (fabs x) (+ 2 (* -1 (fabs x)))) (pow x 4))) (* 2 (/ 1 (pow x 2)))))))
(*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 2 binary64) (fabs.f64 x)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (/.f64 (-.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 x x)))))
(copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)
(copysign.f64 (log1p.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fabs.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fabs.f64 x))))) x)
(copysign (log (- (+ 1 (* 1/4 (/ (pow x 4) (- (* 1/2 (pow x 2)) (fabs x))))) (/ (pow x 2) (- (* 1/2 (pow x 2)) (fabs x))))) x)
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(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(+ (* -1/8 (/ (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(+ (* -1/8 (/ (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(* -1/8 (/ (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))
(*.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(* (pow x 2) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(* (pow x 2) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(* (pow x 2) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(* -1/8 (/ (* (pow x 2) (+ 1 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))
(*.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(* (pow x 2) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(* (pow x 2) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(* (pow x 2) (+ (* -1/8 (/ (+ 1 (/ 1 (+ 1 (fabs x)))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ (pow x 2) (+ 1 (fabs x)))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ -1/8 (+ 1 (fabs x)))
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ -1/8 (+ 1 (fabs x)))
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ -1/8 (+ 1 (fabs x)))
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ -1/8 (+ 1 (fabs x)))
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ -1/8 (+ 1 (fabs x)))
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ -1/8 (+ 1 (fabs x)))
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ -1/8 (+ 1 (fabs x)))
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ -1/8 (+ 1 (fabs x)))
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ -1/8 (+ 1 (fabs x)))
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ -1/8 (+ 1 (fabs x)))
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ -1/8 (+ 1 (fabs x)))
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ -1/8 (+ 1 (fabs x)))
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))

eval359.0ms (4%)

Memory
8.7MiB live, 325.3MiB allocated
Compiler

Compiled 38 212 to 4 258 computations (88.9% saved)

prune130.0ms (1.4%)

Memory
-4.3MiB live, 389.9MiB allocated
Pruning

15 alts after pruning (4 fresh and 11 done)

PrunedKeptTotal
New1 09241 096
Fresh000
Picked224
Done1910
Total1 095151 110
Accuracy
100.0%
Counts
1 110 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(copysign.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x (+.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) x)
30.0%
(copysign.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) x)
26.6%
(copysign.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (fabs.f64 x))) #s(literal 24 binary64) (/.f64 #s(literal -12 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
31.8%
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
57.1%
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
30.7%
(copysign.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))) x)
65.8%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
25.0%
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
26.8%
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
25.6%
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
31.8%
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
9.9%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)
25.9%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
26.4%
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
8.9%
(copysign.f64 (log.f64 x) x)
Compiler

Compiled 544 to 244 computations (55.1% saved)

regimes15.0ms (0.2%)

Memory
3.1MiB live, 41.4MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
(copysign.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) x)
(copysign.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (fabs.f64 x))) #s(literal 24 binary64) (/.f64 #s(literal -12 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
(copysign.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))) x)
(copysign.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))) x)
(copysign.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x (+.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 x x (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) x)
Outputs
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
(copysign.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x (+.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
Calls

2 calls:

7.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
7.0ms
x
Results
AccuracySegmentsBranch
99.7%3x
99.7%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory
-2.9MiB live, 38.3MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
(copysign.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) x)
(copysign.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (fabs.f64 x))) #s(literal 24 binary64) (/.f64 #s(literal -12 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
(copysign.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))) x)
(copysign.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 x)))) x)
Outputs
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
Calls

2 calls:

7.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
6.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
99.5%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-14.7MiB live, 24.7MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
(copysign.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) x)
(copysign.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (fabs.f64 x))) #s(literal 24 binary64) (/.f64 #s(literal -12 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
Outputs
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
Calls

2 calls:

4.0ms
x
4.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
99.4%3x
99.4%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
21.0MiB live, 21.0MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
(copysign.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) x)
(copysign.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (fabs.f64 x))) #s(literal 24 binary64) (/.f64 #s(literal -12 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)
Outputs
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
Calls

2 calls:

4.0ms
x
3.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
99.2%3x
99.2%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
-19.3MiB live, 19.3MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
(copysign.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) x)
(copysign.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (fabs.f64 x))) #s(literal 24 binary64) (/.f64 #s(literal -12 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
Outputs
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
Calls

2 calls:

4.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
3.0ms
x
Results
AccuracySegmentsBranch
98.4%3x
98.4%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(copysign.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) x)
(copysign.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (fabs.f64 x))) #s(literal 24 binary64) (/.f64 #s(literal -12 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
Calls

2 calls:

3.0ms
x
2.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
81.9%2x
81.9%2(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
-27.2MiB live, 12.6MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(copysign.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) x)
(copysign.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (fabs.f64 x))) #s(literal 24 binary64) (/.f64 #s(literal -12 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
Calls

2 calls:

2.0ms
x
2.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
65.8%1x
65.8%1(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(copysign.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) x)
(copysign.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (fabs.f64 x))) #s(literal 24 binary64) (/.f64 #s(literal -12 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign.f64 (log.f64 x) x)
Outputs
(copysign.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) x)
(copysign.f64 (log.f64 x) x)
Calls

2 calls:

2.0ms
x
2.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
36.3%2x
36.3%2(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0%)

Memory
11.1MiB live, 11.1MiB allocated
Accuracy

Total -2.2b remaining (-5%)

Threshold costs -2.2b (-5%)

Counts
2 → 1
Calls
Call 1
Inputs
(copysign.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) x)
(copysign.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (fabs.f64 x))) #s(literal 24 binary64) (/.f64 #s(literal -12 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
Outputs
(copysign.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) x)
Calls

2 calls:

2.0ms
x
1.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
30.0%1x
30.0%1(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6189808917883785e-8
3.919283910416606
0.0ms
-9.107787252505206
-0.0008715798623689895
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6189808917883785e-8
3.919283910416606
0.0ms
-9.107787252505206
-0.0008715798623689895
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6189808917883785e-8
3.919283910416606
0.0ms
-9.107787252505206
-0.0008715798623689895
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6189808917883785e-8
3.919283910416606
0.0ms
-9.107787252505206
-0.0008715798623689895
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6189808917883785e-8
3.919283910416606
0.0ms
-9.107787252505206
-0.0008715798623689895
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6189808917883785e-8
3.919283910416606
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6189808917883785e-8
3.919283910416606
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify18.0ms (0.2%)

Memory
-32.4MiB live, 27.3MiB allocated
Algorithm
egg-herbie
Rules
20×+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060374
175374
279374
381374
482374
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x (+.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x))
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) x)
Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x (+.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x))
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) x)

soundness1.6s (17.7%)

Memory
13.5MiB live, 1 036.6MiB allocated
Rules
24 610×lower-fma.f64
24 610×lower-fma.f32
14 564×lower-fma.f64
14 564×lower-fma.f32
10 588×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024128
048128
1159128
21290128
08549128
02298
04294
112694
2105394
0840690
035279
069266
1269218
22349218
08236215
05134847
115804615
253464543
082314190
0944
01644
15144
232444
3341944
0835239
0169782
1490754
21511741
35413691
08421635
03872608
110592493
231822395
083842227
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 614 to 215 computations (65% saved)

preprocess111.0ms (1.2%)

Memory
2.7MiB live, 196.3MiB allocated
Compiler

Compiled 818 to 158 computations (80.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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