Rust f64::asinh

Time bar (total: 8.1s)

analyze0.0ms (0%)

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 3 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-asinh: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample801.0ms (10%)

Results
674.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-asinh: 89.0ms (88.5% of total)
const: 8.0ms (8% of total)
backward-pass: 3.0ms (3% of total)
Bogosity

preprocess21.0ms (0.3%)

Algorithm
egg-herbie
Rules
16×sum3-define
12×sub-neg
+-lowering-+.f64
+-lowering-+.f32
fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
1119
2159
3189
4309
5379
6469
7529
0911
1159
2169
3179
0179
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
Outputs
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
Call 2
Inputs
(asinh x)
(asinh (neg x))
(neg (asinh (neg x)))
Outputs
(asinh x)
(asinh (neg x))
(neg (asinh (neg x)))

explain262.0ms (3.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1210-0-(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
640-0-(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-x
00-0-(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
00-0-(*.f64 x x)
00-0-(+.f64 (*.f64 x x) #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-#s(literal 1 binary64)
Results
106.0ms132×2valid
38.0ms276×0valid
37.0ms104×1valid
Compiler

Compiled 115 to 29 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-log: 47.0ms (39.5% of total)
ival-add: 29.0ms (24.4% of total)
backward-pass: 10.0ms (8.4% of total)
ival-mult: 9.0ms (7.6% of total)
ival-copysign: 8.0ms (6.7% of total)
ival-sqrt: 7.0ms (5.9% of total)
ival-fabs: 6.0ms (5% of total)
const: 1.0ms (0.8% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
56.5%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
Compiler

Compiled 10 to 7 computations (30% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fabs.f64 x)
cost-diff0
(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
cost-diff0
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
cost-diff0
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
Rules
+-lowering-+.f64
+-lowering-+.f32
+-commutative
hypot-1-def
sqrt-lowering-sqrt.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
11629
21729
01729
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x)
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(fabs x)
x
(sqrt (+ (* 1 1) (* x x)))
1
Outputs
(copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(fabs x)
(fabs.f64 x)
x
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)

localize181.0ms (2.2%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
accuracy99.9%
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
Results
145.0ms120×5exit
21.0ms136×0valid
Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-copysign: 29.0ms (25.7% of total)
backward-pass: 29.0ms (25.7% of total)
ival-log: 21.0ms (18.6% of total)
compiled-spec: 15.0ms (13.3% of total)
ival-fabs: 5.0ms (4.4% of total)
ival-add: 5.0ms (4.4% of total)
ival-mult: 5.0ms (4.4% of total)
ival-sqrt: 3.0ms (2.7% of total)
const: 1.0ms (0.9% of total)

series4.0ms (0%)

Counts
4 → 48
Calls
Call 1
Inputs
#<alt (copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x)>
#<alt (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))>
#<alt (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))>
#<alt (fabs x)>
Outputs
#<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 (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

12 calls:

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

rewrite163.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1948×sum5-define
676×sum4-define
468×sum3-define
202×fma-define
182×fnmadd-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01024
12224
23424
35424
411724
523024
666124
7213424
8219024
9223224
10227624
0245124
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
4 → 18
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x)
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
(fabs x)
Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x))
(fma.f64 (fabs.f64 x) #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (fabs.f64 x))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fabs.f64 x))
(fma.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64)) (fabs.f64 x))
(*.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fabs.f64 x)
(fabs.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 (fabs.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))

simplify362.0ms (4.5%)

Algorithm
egg-herbie
Rules
3784×*-lowering-*.f32
3784×*-lowering-*.f64
2044×sum4-define
1748×sum3-define
1744×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0147576
1447477
21535465
35702465
08709465
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(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)))))
(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
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(+ (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)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))
(+ (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)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 45 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 x (*.f64 x #s(literal 1/720 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 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f64 (/.f64 (fabs.f64 x) x) (+.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.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))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x))))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) 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 (+.f64 (*.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/6 binary64) x)) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x)) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))))
x
(* x (+ 1 (/ (fabs x) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x 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)

eval8.0ms (0.1%)

Compiler

Compiled 861 to 203 computations (76.4% saved)

prune17.0ms (0.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New511566
Fresh000
Picked011
Done000
Total511667
Accuracy
100.0%
Counts
67 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.2%
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)
49.6%
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)
10.3%
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
63.0%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
27.0%
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
26.2%
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
9.0%
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
7.2%
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))))) x)
4.1%
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) x)
56.5%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
9.9%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) x)
20.0%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
25.9%
(copysign.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x)
28.8%
(copysign.f64 (log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x)
29.9%
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
9.8%
(copysign.f64 (log.f64 x) x)
Compiler

Compiled 478 to 311 computations (34.9% saved)

simplify20.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
cost-diff0
(+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))
cost-diff0
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) x)
cost-diff128
(log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))))
cost-diff0
(fabs.f64 x)
cost-diff0
(+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
cost-diff0
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) x)
cost-diff128
(log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
cost-diff0
(/.f64 (fabs.f64 x) x)
cost-diff0
(log.f64 x)
cost-diff0
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
cost-diff0
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
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
268×fma-define
216×fma-lowering-fma.f32
216×fma-lowering-fma.f64
144×sum3-define
112×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027173
155163
2120155
3288155
4421155
5456155
0456155
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(copysign (log (+ 1 (fabs x))) x)
(log (+ 1 (fabs x)))
(fabs x)
x
(copysign (log x) x)
(log x)
x
(copysign (+ (log x) (/ (fabs x) x)) x)
(+ (log x) (/ (fabs x) x))
(log x)
x
(/ (fabs x) x)
(fabs x)
(copysign (log (+ (fabs x) (+ 1 (* (* x x) 1/2)))) x)
(log (+ (fabs x) (+ 1 (* (* x x) 1/2))))
(+ (fabs x) (+ 1 (* (* x x) 1/2)))
(fabs x)
x
(+ 1 (* (* x x) 1/2))
1
(* (* x x) 1/2)
(* x x)
1/2
(copysign (log (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8)))))) x)
(log (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8))))))
(+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8)))))
(+ (fabs x) 1)
(fabs x)
x
1
(* x (* x (+ 1/2 (* (* x x) -1/8))))
(* x (+ 1/2 (* (* x x) -1/8)))
(+ 1/2 (* (* x x) -1/8))
1/2
(* (* x x) -1/8)
(* x x)
-1/8
Outputs
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(fabs x)
(fabs.f64 x)
x
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(log x)
(log.f64 x)
x
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(+ (log x) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(log x)
(log.f64 x)
x
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(fabs x)
(fabs.f64 x)
(copysign (log (+ (fabs x) (+ 1 (* (* x x) 1/2)))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x)
(log (+ (fabs x) (+ 1 (* (* x x) 1/2))))
(log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(+ (fabs x) (+ 1 (* (* x x) 1/2)))
(+.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(fabs x)
(fabs.f64 x)
x
(+ 1 (* (* x x) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(* (* x x) 1/2)
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* x x)
(*.f64 x x)
1/2
#s(literal 1/2 binary64)
(copysign (log (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8)))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) x)
(log (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8))))))
(log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))
(+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8)))))
(+.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))
(+ (fabs x) 1)
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(fabs x)
(fabs.f64 x)
x
1
#s(literal 1 binary64)
(* x (* x (+ 1/2 (* (* x x) -1/8))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* x (+ 1/2 (* (* x x) -1/8)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(+ 1/2 (* (* x x) -1/8))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))
1/2
#s(literal 1/2 binary64)
(* (* x x) -1/8)
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(* x x)
(*.f64 x x)
-1/8
#s(literal -1/8 binary64)

localize287.0ms (3.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
accuracy100.0%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))
accuracy78.6%
(log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))))
accuracy100.0%
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(fabs.f64 x)
accuracy78.6%
(log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
accuracy100.0%
(/.f64 (fabs.f64 x) x)
accuracy100.0%
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
accuracy100.0%
(log.f64 x)
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)
Results
119.0ms35×2valid
101.0ms197×0invalid
23.0ms23×1valid
0.0ms0valid
Compiler

Compiled 196 to 27 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-log: 34.0ms (25.1% of total)
ival-add: 29.0ms (21.4% of total)
ival-mult: 28.0ms (20.7% of total)
compiled-spec: 17.0ms (12.6% of total)
ival-copysign: 13.0ms (9.6% of total)
backward-pass: 8.0ms (5.9% of total)
ival-div: 3.0ms (2.2% of total)
ival-fabs: 3.0ms (2.2% of total)
const: 1.0ms (0.7% of total)

series172.0ms (2.1%)

Counts
19 → 228
Calls
Call 1
Inputs
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (fabs x)>
#<alt (copysign (log x) x)>
#<alt (log x)>
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)>
#<alt (+ (log x) (/ (fabs x) x))>
#<alt (/ (fabs x) x)>
#<alt (log (+ (fabs x) (+ 1 (* (* x x) 1/2))))>
#<alt (copysign (log (+ (fabs x) (+ 1 (* (* x x) 1/2)))) x)>
#<alt (+ (fabs x) (+ 1 (* (* x x) 1/2)))>
#<alt (log (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8))))))>
#<alt (copysign (log (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8)))))) x)>
#<alt (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8)))))>
#<alt (+ (fabs x) 1)>
#<alt (* x x)>
#<alt (* (* x x) 1/2)>
#<alt (* x (* x (+ 1/2 (* (* x x) -1/8))))>
#<alt (* x (+ 1/2 (* (* x x) -1/8)))>
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 (copysign (+ (log x) (/ (fabs x) x)) x)>
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)>
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)>
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)>
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)>
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)>
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)>
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)>
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)>
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)>
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)>
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (+ (fabs x) (* x (log x))) x)>
#<alt (/ (+ (fabs x) (* x (log x))) x)>
#<alt (/ (+ (fabs x) (* x (log x))) x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (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))) (/ (fabs x) x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs 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) (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 (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 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log -1/8) (* -4 (log (/ 1 x))))>
#<alt (- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/8) (* -4 (log (/ -1 x))))>
#<alt (- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) 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 (* -1/8 (pow x 2))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))>
#<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 (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 (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* x (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* x (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* -1/8 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* -1/8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/8 (* 1/2 (/ 1 (pow x 2))))))>
Calls

57 calls:

TimeVariablePointExpression
65.0ms
x
@0
(log (+ 1 (fabs x)))
34.0ms
x
@-inf
(log x)
24.0ms
x
@inf
(log (+ 1 (fabs x)))
16.0ms
x
@-inf
(log (+ 1 (fabs x)))
14.0ms
x
@0
(log x)

rewrite256.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
2056×fma-lowering-fma.f32
2056×fma-lowering-fma.f64
1788×fmsub-define
1634×fnmsub-define
1468×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027137
165129
2169121
3489121
41259121
55537121
08084121
Stop Event
iter limit
node limit
Counts
19 → 571
Calls
Call 1
Inputs
(copysign (log (+ 1 (fabs x))) x)
(log (+ 1 (fabs x)))
(fabs x)
(copysign (log x) x)
(log x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(+ (log x) (/ (fabs x) x))
(/ (fabs x) x)
(log (+ (fabs x) (+ 1 (* (* x x) 1/2))))
(copysign (log (+ (fabs x) (+ 1 (* (* x x) 1/2)))) x)
(+ (fabs x) (+ 1 (* (* x x) 1/2)))
(log (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8))))))
(copysign (log (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8)))))) x)
(+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8)))))
(+ (fabs x) 1)
(* x x)
(* (* x x) 1/2)
(* x (* x (+ 1/2 (* (* x x) -1/8))))
(* x (+ 1/2 (* (* x x) -1/8)))
Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+.f64 (log1p.f64 (fabs.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(+.f64 (fabs.f64 x) #s(literal 0 binary64))
(+.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (fabs.f64 x)))
(+.f64 #s(literal 0 binary64) (fabs.f64 x))
(exp.f64 (log.f64 (fabs.f64 x)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(fabs.f64 x)
(fabs.f64 (-.f64 #s(literal 0 binary64) x))
(-.f64 (fabs.f64 x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) (fabs.f64 x))
(fma.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 (fabs.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(pow.f64 (fabs.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (fabs.f64 x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(copysign.f64 (log.f64 x) x)
(log.f64 x)
(+.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (log.f64 (exp.f64 (log.f64 #s(literal -1 binary64)))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (log.f64 x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (log.f64 x) #s(literal 0 binary64))
(fma.f64 (log.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)))
(*.f64 #s(literal 1 binary64) (log.f64 x))
(*.f64 (log.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64))
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))
(+.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 (fabs.f64 x) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x))))
(+.f64 (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)))
(-.f64 (/.f64 (fabs.f64 x) x) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(-.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))))
(-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x))))
(-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (/.f64 (fabs.f64 x) x)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (fabs.f64 x) x)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x))))
(-.f64 (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (/.f64 (fabs.f64 x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x) (log.f64 x))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (fabs.f64 x) x))) (log.f64 x))
(fma.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(fma.f64 (log.f64 x) #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(fma.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64) (log.f64 x))
(fma.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) x) (log.f64 x))
(fma.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (log.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x) (log.f64 x))
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(/.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) x)
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))) #s(literal -1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 0 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/8 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/8 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) x)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (*.f64 x #s(literal 1/8 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) x)
(*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) x)

simplify261.0ms (3.2%)

Algorithm
egg-herbie
Rules
4058×*-lowering-*.f32
4058×*-lowering-*.f64
2392×+-lowering-+.f64
2392×+-lowering-+.f32
1468×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01832068
15331819
218301781
363691778
081921778
Stop Event
iter limit
node limit
Counts
228 → 228
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))))
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(/ (fabs x) x)
(/ (+ (fabs x) (* x (log x))) x)
(/ (+ (fabs x) (* x (log x))) x)
(/ (+ (fabs x) (* x (log x))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs 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) (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)))))
(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 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log -1/8) (* -4 (log (/ 1 x))))
(- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))
(+ (log -1/8) (* -4 (log (/ -1 x))))
(- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) 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 (* -1/8 (pow x 2))))))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))
(+ 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))
(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)
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 (pow x 2))))
(* x (+ 1/2 (* -1/8 (pow x 2))))
(* x (+ 1/2 (* -1/8 (pow x 2))))
(* -1/8 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* -1/8 (pow x 3))
(* -1 (* (pow x 3) (- 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/8 (* 1/2 (/ 1 (pow x 2))))))
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)) (log.f64 (/.f64 #s(literal -1 binary64) 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))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign (+ (log x) (/ (fabs x) x)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(/ (+ (fabs x) (* x (log x))) x)
(/.f64 (+.f64 (fabs.f64 x) (*.f64 x (log.f64 x))) x)
(/ (+ (fabs x) (* x (log x))) x)
(/.f64 (+.f64 (fabs.f64 x) (*.f64 x (log.f64 x))) x)
(/ (+ (fabs x) (* x (log x))) x)
(/.f64 (+.f64 (fabs.f64 x) (*.f64 x (log.f64 x))) 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))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 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 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fabs.f64 x) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fabs.f64 x) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fabs.f64 x) x))
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(/ (fabs x) x)
(/.f64 (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)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (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)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))))))
(+ (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)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))))))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (fabs.f64 x) #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))))))
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(pow x 2)
(*.f64 x x)
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* -1/8 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* -1/8 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/8 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* x (+ 1/2 (* -1/8 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* x (+ 1/2 (* -1/8 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* -1/8 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(* -1/8 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))
(* -1 (* (pow x 3) (- 1/8 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(* -1 (* (pow x 3) (- 1/8 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(* -1 (* (pow x 3) (- 1/8 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))

eval141.0ms (1.8%)

Compiler

Compiled 16959 to 3020 computations (82.2% saved)

prune129.0ms (1.6%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New9924996
Fresh2810
Picked145
Done011
Total995171012
Accuracy
100.0%
Counts
1012 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.8%
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
10.3%
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
62.9%
(copysign.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
47.6%
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x)
53.4%
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
63.0%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
27.0%
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
26.2%
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
9.0%
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
7.2%
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))))) x)
4.1%
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) x)
56.5%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
20.0%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
25.9%
(copysign.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x)
28.8%
(copysign.f64 (log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x)
29.9%
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
9.8%
(copysign.f64 (log.f64 x) x)
Compiler

Compiled 395 to 264 computations (33.2% saved)

simplify115.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
cost-diff0
(log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
cost-diff0
(copysign.f64 (log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x)
cost-diff384
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
cost-diff0
(-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)
cost-diff0
(log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x))
cost-diff0
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
cost-diff256
(*.f64 x (/.f64 (fabs.f64 x) x))
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-diff128
(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(literal 0 binary64) x)
cost-diff0
(log.f64 (-.f64 #s(literal 0 binary64) x))
cost-diff0
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
cost-diff0
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
cost-diff0
(log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
cost-diff0
(copysign.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
Rules
1624×sum5-define
1594×*-lowering-*.f32
1594×*-lowering-*.f64
1346×fmsub-define
1334×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028150
160150
2112150
3212126
4533126
51036126
64295126
08230126
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(copysign (log (+ 1 (/ 1 (/ 1 (fabs x))))) x)
(log (+ 1 (/ 1 (/ 1 (fabs x)))))
(/ 1 (/ 1 (fabs x)))
1
(/ 1 (fabs x))
(fabs x)
x
(copysign (log (- 0 x)) x)
(log (- 0 x))
(- 0 x)
0
x
(copysign (log (+ (fabs x) 1)) x)
(log (+ (fabs x) 1))
(+ (fabs x) 1)
(fabs x)
x
1
(copysign (log (- (* x (/ (fabs x) x)) x)) x)
(log (- (* x (/ (fabs x) x)) x))
(- (* x (/ (fabs x) x)) x)
(* x (/ (fabs x) x))
x
(/ (fabs x) x)
(fabs x)
(copysign (log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))))) x)
(log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x)))))
(* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))))
x
(+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x)))
(+ 1 (/ (fabs x) x))
1
(/ (fabs x) x)
(fabs x)
(/ 1/2 (* x x))
1/2
(* x x)
Outputs
(copysign (log (+ 1 (/ 1 (/ 1 (fabs x))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log (+ 1 (/ 1 (/ 1 (fabs x)))))
(log1p.f64 (fabs.f64 x))
(/ 1 (/ 1 (fabs x)))
(fabs.f64 x)
1
#s(literal 1 binary64)
(/ 1 (fabs x))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(fabs x)
(fabs.f64 x)
x
(copysign (log (- 0 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(log (- 0 x))
(log.f64 (-.f64 #s(literal 0 binary64) x))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(copysign (log (+ (fabs x) 1)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log (+ (fabs x) 1))
(log1p.f64 (fabs.f64 x))
(+ (fabs x) 1)
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(fabs x)
(fabs.f64 x)
x
1
#s(literal 1 binary64)
(copysign (log (- (* x (/ (fabs x) x)) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(log (- (* x (/ (fabs x) x)) x))
(log.f64 (-.f64 (fabs.f64 x) x))
(- (* x (/ (fabs x) x)) x)
(-.f64 (fabs.f64 x) x)
(* x (/ (fabs x) x))
(fabs.f64 x)
x
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(fabs x)
(fabs.f64 x)
(copysign (log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))))) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x)
(log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x)))))
(log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))))
(* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
x
(+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))))
(+ 1 (/ (fabs x) x))
(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
1
#s(literal 1 binary64)
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(fabs x)
(fabs.f64 x)
(/ 1/2 (* x x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(* x x)
(*.f64 x x)

localize175.0ms (2.2%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)
accuracy100.0%
(*.f64 x (/.f64 (fabs.f64 x) x))
accuracy100.0%
(log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x))
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 (-.f64 #s(literal 0 binary64) x)) x)
accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
accuracy100.0%
(log.f64 (-.f64 #s(literal 0 binary64) x))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
accuracy100.0%
(log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
accuracy100.0%
(fabs.f64 x)
Results
134.0ms256×0invalid
Compiler

Compiled 189 to 28 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-log: 45.0ms (49.5% of total)
ival-copysign: 11.0ms (12.1% of total)
compiled-spec: 9.0ms (9.9% of total)
ival-div: 7.0ms (7.7% of total)
ival-add: 7.0ms (7.7% of total)
ival-mult: 5.0ms (5.5% of total)
ival-sub: 3.0ms (3.3% of total)
ival-fabs: 2.0ms (2.2% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series28.0ms (0.4%)

Counts
20 → 240
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (fabs x)))>
#<alt (copysign (log (+ 1 (/ 1 (/ 1 (fabs x))))) x)>
#<alt (log (+ 1 (/ 1 (/ 1 (fabs x)))))>
#<alt (/ 1 (fabs x))>
#<alt (copysign (log (- 0 x)) x)>
#<alt (log (- 0 x))>
#<alt (- 0 x)>
#<alt (log (+ (fabs x) 1))>
#<alt (copysign (log (+ (fabs x) 1)) x)>
#<alt (+ (fabs x) 1)>
#<alt (fabs x)>
#<alt (* x (/ (fabs x) x))>
#<alt (copysign (log (- (* x (/ (fabs x) x)) x)) x)>
#<alt (log (- (* x (/ (fabs x) x)) x))>
#<alt (- (* x (/ (fabs x) x)) x)>
#<alt (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))))>
#<alt (copysign (log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))))) x)>
#<alt (log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x)))))>
#<alt (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x)))>
#<alt (* x x)>
Outputs
#<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 (+ 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 (/ 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 (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log 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 (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -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 (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 (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 (/ 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 (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)>
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) 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 (pow x 2))>
#<alt (/ (+ 1/2 (* x (fabs x))) (pow x 2))>
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) (pow x 2))>
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (/ (fabs x) x))>
#<alt (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))>
#<alt (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))>
#<alt 1>
#<alt (+ 1 (/ (fabs x) x))>
#<alt (+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 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)>
Calls

60 calls:

TimeVariablePointExpression
13.0ms
x
@0
(log (- 0 x))
8.0ms
x
@inf
(log (- 0 x))
0.0ms
x
@0
(log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x)))))
0.0ms
x
@inf
(/ 1 (fabs x))
0.0ms
x
@-inf
(log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x)))))

rewrite187.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
2196×/-lowering-/.f32
2196×/-lowering-/.f64
1842×*-lowering-*.f32
1842×*-lowering-*.f64
1210×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028116
193116
236492
3260692
0844792
Stop Event
iter limit
node limit
Counts
20 → 478
Calls
Call 1
Inputs
(/ 1 (/ 1 (fabs x)))
(copysign (log (+ 1 (/ 1 (/ 1 (fabs x))))) x)
(log (+ 1 (/ 1 (/ 1 (fabs x)))))
(/ 1 (fabs x))
(copysign (log (- 0 x)) x)
(log (- 0 x))
(- 0 x)
(log (+ (fabs x) 1))
(copysign (log (+ (fabs x) 1)) x)
(+ (fabs x) 1)
(fabs x)
(* x (/ (fabs x) x))
(copysign (log (- (* x (/ (fabs x) x)) x)) x)
(log (- (* x (/ (fabs x) x)) x))
(- (* x (/ (fabs x) x)) x)
(* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))))
(copysign (log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))))) x)
(log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x)))))
(+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x)))
(* x x)
Outputs
(+.f64 (fabs.f64 x) #s(literal 0 binary64))
(+.f64 (fabs.f64 x) (*.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)))
(+.f64 (fabs.f64 x) (*.f64 (/.f64 (fabs.f64 x) x) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (fabs.f64 x))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) (fabs.f64 x))
(+.f64 (*.f64 (/.f64 (fabs.f64 x) x) #s(literal 0 binary64)) (fabs.f64 x))
(exp.f64 (log.f64 (fabs.f64 x)))
(fabs.f64 x)
(fabs.f64 (-.f64 #s(literal 0 binary64) x))
(-.f64 (fabs.f64 x) (/.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 x))) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 x)))) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) #s(literal 0 binary64))
(fma.f64 x (/.f64 (fabs.f64 x) x) #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 x) x) x #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal -1 binary64) x)))
(/.f64 x (/.f64 x (fabs.f64 x)))
(/.f64 (fabs.f64 x) #s(literal 1 binary64))
(/.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fabs.f64 x))))
(/.f64 (*.f64 x (fabs.f64 x)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(pow.f64 (fabs.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (fabs.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 x (/.f64 (fabs.f64 x) x))
(*.f64 (fabs.f64 x) #s(literal 1 binary64))
(*.f64 (/.f64 (fabs.f64 x) x) x)
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (fabs.f64 x)))
(*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)))))
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+.f64 (log1p.f64 (fabs.f64 x)) #s(literal 0 binary64))
(log1p.f64 (fabs.f64 x))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x)))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(/.f64 x (*.f64 x (fabs.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 x (fabs.f64 x)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)))))
(/.f64 (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(pow.f64 (fabs.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (fabs.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fabs.f64 x))))
(*.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fabs.f64 x))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fabs.f64 x))) x)
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)))))
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(log.f64 (-.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))
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(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))

simplify322.0ms (4%)

Algorithm
egg-herbie
Rules
3008×fma-lowering-fma.f32
3008×fma-lowering-fma.f64
2948×*-lowering-*.f32
2948×*-lowering-*.f64
1832×sum5-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02051529
15731398
218061355
360771353
084121353
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(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 (+ 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)))
(/ 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))
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(+ (log -1) (log x))
(+ (log -1) (log x))
(+ (log -1) (log x))
(+ (log -1) (log 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))))
(* -1 (log (/ -1 x)))
(* -1 (log (/ -1 x)))
(* -1 (log (/ -1 x)))
(* -1 (log (/ -1 x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -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))
(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)
(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))
(+ (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 (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 (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) 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 (pow x 2))
(/ (+ 1/2 (* x (fabs x))) (pow x 2))
(/ (+ 1/2 (* x (+ x (fabs x)))) (pow x 2))
(/ (+ 1/2 (* x (+ x (fabs x)))) (pow x 2))
1
(+ 1 (/ (fabs x) x))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))
1
(+ 1 (/ (fabs x) x))
(+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))
(+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 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)
Outputs
(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 (+ 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))
(/ 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))
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign (log (* -1 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (log x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) 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 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(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)
(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 (log.f64 (fabs.f64 x)) (-.f64 (+.f64 (*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x (fabs.f64 x))))) #s(literal -1/2 binary64)) (/.f64 x (fabs.f64 x))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 x) (/.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 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 x) (-.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 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 x) (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 (*.f64 (fabs.f64 x) #s(literal -1/3 binary64)) x))))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) x))) x)))
(-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) x)) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/3 (/ (pow (fabs x) 3) x))) x))) x)))
(-.f64 (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x (fabs.f64 x))) x) #s(literal 1/3 binary64))) x)) (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) 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)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ (fabs x) x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(* x (- (/ (fabs x) x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(* x (- (/ (fabs x) x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* x (fabs x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (fabs.f64 x))) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x (fabs.f64 x)))) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x (fabs.f64 x)))) x)
x
(* x (+ 1 (/ (fabs x) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)))
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x)
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x 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)) (* 2 (* x (fabs x)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 x (*.f64 (fabs.f64 x) #s(literal 2 binary64))) (log.f64 x)))
(+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))) (* 2 (fabs x))))))
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.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)) (* x (+ (* 1/6 (* x (+ (* -24 (fabs x)) (* 16 (pow (fabs x) 3))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))
(+.f64 (*.f64 x (+.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (fabs.f64 x) (+.f64 #s(literal -24 binary64) (*.f64 (*.f64 x x) #s(literal 16 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))))))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.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)))
(+.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(+ (* -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))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (fabs.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x))) (+.f64 (log.f64 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 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) 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))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 (*.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ (+ 1/2 (* x (fabs x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (fabs.f64 x))) x) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x (fabs.f64 x)))) (*.f64 x x))
(/ (+ 1/2 (* x (+ x (fabs x)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x (fabs.f64 x)))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (/ (fabs x) x))
(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))
(+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))
(+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (/ (fabs x) x))
(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x))
(+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval183.0ms (2.3%)

Compiler

Compiled 12292 to 2669 computations (78.3% saved)

prune137.0ms (1.7%)

Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New9334937
Fresh167
Picked325
Done145
Total93816954
Accuracy
100.0%
Counts
954 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.8%
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
62.9%
(copysign.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
47.6%
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x)
53.4%
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
63.0%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
28.6%
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
28.7%
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)
27.0%
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
26.2%
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
7.2%
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))))) x)
4.1%
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) x)
56.5%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
20.0%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
25.9%
(copysign.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x)
9.0%
(copysign.f64 (log.f64 (neg.f64 x)) x)
9.8%
(copysign.f64 (log.f64 x) x)
Compiler

Compiled 335 to 225 computations (32.8% saved)

simplify203.0ms (2.5%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fabs.f64 x)
cost-diff0
(+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
cost-diff0
(log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))
cost-diff0
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x)
cost-diff0
(+.f64 x (fabs.f64 x))
cost-diff0
(-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
cost-diff0
(log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x)))
cost-diff0
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)
cost-diff0
(fabs.f64 x)
cost-diff0
(/.f64 (fabs.f64 x) x)
cost-diff0
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
cost-diff-64
(neg.f64 x)
cost-diff0
(log.f64 (neg.f64 x))
cost-diff0
(copysign.f64 (log.f64 (neg.f64 x)) x)
cost-diff0
(fabs.f64 x)
cost-diff0
(+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
cost-diff0
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
Rules
2694×sum3-define
2174×fnmadd-define
1714×fma-lowering-fma.f32
1714×fma-lowering-fma.f64
1646×fmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030165
164156
2138151
3317151
4651151
51674151
63380151
74640151
87847151
08001151
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(copysign (log (+ 1 (+ (fabs x) (* x (* x 1/2))))) x)
(log (+ 1 (+ (fabs x) (* x (* x 1/2)))))
(+ (fabs x) (* x (* x 1/2)))
(fabs x)
x
(* x (* x 1/2))
(* x 1/2)
1/2
(copysign (log (neg x)) x)
(log (neg x))
(neg x)
x
(copysign (/ (fabs x) x) x)
(/ (fabs x) x)
(fabs x)
x
(copysign (log (- (+ x (fabs x)) (/ -1/2 x))) x)
(log (- (+ x (fabs x)) (/ -1/2 x)))
(- (+ x (fabs x)) (/ -1/2 x))
(+ x (fabs x))
x
(fabs x)
(/ -1/2 x)
-1/2
(copysign (log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8)))))) x)
(log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8))))))
(+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8))))
(fabs x)
x
(* (* x x) (- 1/2 (* (* x x) 1/8)))
(* x x)
(- 1/2 (* (* x x) 1/8))
1/2
(* (* x x) 1/8)
1/8
Outputs
(copysign (log (+ 1 (+ (fabs x) (* x (* x 1/2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
(log (+ 1 (+ (fabs x) (* x (* x 1/2)))))
(log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+ (fabs x) (* x (* x 1/2)))
(+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fabs x)
(fabs.f64 x)
x
(* x (* x 1/2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(copysign (log (neg x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(log (neg x))
(log.f64 (-.f64 #s(literal 0 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(copysign (/ (fabs x) x) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(/ (fabs x) x)
(/.f64 (fabs.f64 x) x)
(fabs x)
(fabs.f64 x)
x
(copysign (log (- (+ x (fabs x)) (/ -1/2 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
(log (- (+ x (fabs x)) (/ -1/2 x)))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
(- (+ x (fabs x)) (/ -1/2 x))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(+ x (fabs x))
(+.f64 x (fabs.f64 x))
x
(fabs x)
(fabs.f64 x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
(copysign (log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8)))))) x)
(copysign.f64 (log1p.f64 (-.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x)
(log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8))))))
(log1p.f64 (-.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))
(+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8))))
(-.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(fabs x)
(fabs.f64 x)
x
(* (* x x) (- 1/2 (* (* x x) 1/8)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* x x)
(*.f64 x x)
(- 1/2 (* (* x x) 1/8))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))
1/2
#s(literal 1/2 binary64)
(* (* x x) 1/8)
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
1/8
#s(literal 1/8 binary64)

localize146.0ms (1.8%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
accuracy100.0%
(+.f64 x (fabs.f64 x))
accuracy100.0%
(log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x)))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
accuracy100.0%
(/.f64 (fabs.f64 x) x)
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(copysign.f64 (log.f64 (neg.f64 x)) x)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(log.f64 (neg.f64 x))
accuracy100.0%
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
accuracy100.0%
(fabs.f64 x)
Results
107.0ms256×0invalid
Compiler

Compiled 182 to 28 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-copysign: 12.0ms (19.4% of total)
compiled-spec: 12.0ms (19.4% of total)
ival-log: 11.0ms (17.8% of total)
ival-mult: 10.0ms (16.2% of total)
ival-add: 7.0ms (11.3% of total)
ival-div: 4.0ms (6.5% of total)
ival-sub: 3.0ms (4.9% of total)
ival-fabs: 2.0ms (3.2% of total)
const: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
20 → 240
Calls
Call 1
Inputs
#<alt (copysign (log (+ 1 (+ (fabs x) (* x (* x 1/2))))) x)>
#<alt (log (+ 1 (+ (fabs x) (* x (* x 1/2)))))>
#<alt (+ (fabs x) (* x (* x 1/2)))>
#<alt (fabs x)>
#<alt (copysign (log (neg x)) x)>
#<alt (log (neg x))>
#<alt (neg x)>
#<alt (copysign (/ (fabs x) x) x)>
#<alt (/ (fabs x) x)>
#<alt (copysign (log (- (+ x (fabs x)) (/ -1/2 x))) x)>
#<alt (log (- (+ x (fabs x)) (/ -1/2 x)))>
#<alt (- (+ x (fabs x)) (/ -1/2 x))>
#<alt (+ x (fabs x))>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8)))))) x)>
#<alt (log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8))))))>
#<alt (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8))))>
#<alt (* x 1/2)>
#<alt (* x (* x 1/2))>
#<alt (* x x)>
#<alt (* (* x x) 1/8)>
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 (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 (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (neg x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (copysign (log (* -1 x)) x)>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log 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 (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (copysign (/ (fabs x) x) x)>
#<alt (copysign (/ (fabs x) x) x)>
#<alt (copysign (/ (fabs x) x) x)>
#<alt (copysign (/ (fabs x) x) x)>
#<alt (copysign (/ (fabs x) x) x)>
#<alt (copysign (/ (fabs x) x) x)>
#<alt (copysign (/ (fabs x) x) x)>
#<alt (copysign (/ (fabs x) x) x)>
#<alt (copysign (/ (fabs x) x) x)>
#<alt (copysign (/ (fabs x) x) x)>
#<alt (copysign (/ (fabs x) x) x)>
#<alt (copysign (/ (fabs x) x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (fabs x) x)>
#<alt (/ (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 (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 (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)>
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) 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 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log -1/8) (* -4 (log (/ 1 x))))>
#<alt (- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/8) (* -4 (log (/ -1 x))))>
#<alt (- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))>
#<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 (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (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 2)>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
Calls

60 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(* x 1/2)
0.0ms
x
@inf
(* (* x x) 1/8)
0.0ms
x
@0
(log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8))))))
0.0ms
x
@inf
(log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8))))))
0.0ms
x
@0
(* x 1/2)

rewrite206.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1620×sum3-define
1576×sum4-define
1360×*-lowering-*.f32
1360×*-lowering-*.f64
1284×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030132
178123
2223120
3701120
42483120
08547120
Stop Event
iter limit
node limit
Counts
20 → 393
Calls
Call 1
Inputs
(copysign (log (+ 1 (+ (fabs x) (* x (* x 1/2))))) x)
(log (+ 1 (+ (fabs x) (* x (* x 1/2)))))
(+ (fabs x) (* x (* x 1/2)))
(fabs x)
(copysign (log (neg x)) x)
(log (neg x))
(neg x)
(copysign (/ (fabs x) x) x)
(/ (fabs x) x)
(copysign (log (- (+ x (fabs x)) (/ -1/2 x))) x)
(log (- (+ x (fabs x)) (/ -1/2 x)))
(- (+ x (fabs x)) (/ -1/2 x))
(+ x (fabs x))
(copysign (log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8)))))) x)
(log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8))))))
(+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8))))
(* x 1/2)
(* x (* x 1/2))
(* x x)
(* (* x x) 1/8)
Outputs
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)
(log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(log1p.f64 (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fabs.f64 x))
(+.f64 (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(-.f64 (fabs.f64 x) (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (*.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 (fabs.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64) (fabs.f64 x))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (fabs.f64 x))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (fabs.f64 x))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x) (fabs.f64 x))
(fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1 binary64) (fabs.f64 x))
(neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(neg.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (fabs.f64 x))))
(/.f64 (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))
(*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (fabs.f64 x))))
(+.f64 (fabs.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fabs.f64 x))
(+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))
(exp.f64 (log.f64 (fabs.f64 x)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(fabs.f64 x)
(fabs.f64 (-.f64 #s(literal 0 binary64) x))
(-.f64 (fabs.f64 x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) (fabs.f64 x))
(fma.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 (fabs.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(pow.f64 (fabs.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (fabs.f64 x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(log.f64 (-.f64 #s(literal 0 binary64) x))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (log.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) x)
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 x)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 x #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(+.f64 (/.f64 (fabs.f64 x) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal 0 binary64)) (/.f64 (fabs.f64 x) x))
(exp.f64 (log.f64 (/.f64 (fabs.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fabs.f64 x) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (/.f64 (fabs.f64 x) x))) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 (fabs.f64 x) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (fabs.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x)))))
(/.f64 x (/.f64 x (/.f64 (fabs.f64 x) x)))
(/.f64 (fabs.f64 x) x)
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x))))
(/.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) #s(literal -1 binary64))
(/.f64 (*.f64 x (fabs.f64 x)) (*.f64 x x))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (fabs.f64 x) x))) x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (fabs.f64 x) x)))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x (fabs.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x (fabs.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (fabs.f64 x) x))))
(*.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) #s(literal -1 binary64))
(*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (fabs.f64 x) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x)
(log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 x (fabs.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 x (fabs.f64 x)) #s(literal 1 binary64)))
(+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
(+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x))
(+.f64 (*.f64 (+.f64 x (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (+.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 x)))
(-.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 x (fabs.f64 x))))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) (fabs.f64 x)))
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(*.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)))
(-.f64 (*.f64 x x) #s(literal 0 binary64))
(-.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x))))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/8 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))
(neg.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/8 binary64))))
(/.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/8 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal -1/8 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -1/8 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/8 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -1/8 binary64))
(*.f64 (*.f64 x #s(literal 1/8 binary64)) x)
(*.f64 #s(literal -1/8 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 (*.f64 x #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) x))

simplify312.0ms (3.9%)

Algorithm
egg-herbie
Rules
3272×+-lowering-+.f64
3272×+-lowering-+.f32
3184×*-lowering-*.f32
3184×*-lowering-*.f64
1444×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02802202
18271933
228181907
379761899
084111899
Stop Event
iter limit
node limit
Counts
240 → 240
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))))
(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 (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (neg x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(copysign (log (* -1 x)) x)
(+ (log -1) (log x))
(+ (log -1) (log x))
(+ (log -1) (log x))
(+ (log -1) (log 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))))
(* -1 (log (/ -1 x)))
(* -1 (log (/ -1 x)))
(* -1 (log (/ -1 x)))
(* -1 (log (/ -1 x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(copysign (/ (fabs x) x) x)
(copysign (/ (fabs x) x) x)
(copysign (/ (fabs x) x) x)
(copysign (/ (fabs x) x) x)
(copysign (/ (fabs x) x) x)
(copysign (/ (fabs x) x) x)
(copysign (/ (fabs x) x) x)
(copysign (/ (fabs x) x) x)
(copysign (/ (fabs x) x) x)
(copysign (/ (fabs x) x) x)
(copysign (/ (fabs x) x) x)
(copysign (/ (fabs x) x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (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)))
(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)))
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) 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 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log -1/8) (* -4 (log (/ 1 x))))
(- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))
(+ (log -1/8) (* -4 (log (/ -1 x))))
(- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))
(fabs x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(* 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)
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (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 2)
(pow x 2)
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
Outputs
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
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(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x (fabs.f64 x)))) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x (fabs.f64 x)))) x)
x
(* x (+ 1 (/ (fabs x) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) 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)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))
(* x (+ 1 (/ (fabs x) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))
(* x (+ 1 (/ (fabs x) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))))) x)
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f64 (log1p.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f64 (log1p.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f64 (log1p.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f64 (log1p.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f64 (log1p.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f64 (log1p.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f64 (log1p.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) x)
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)
(copysign.f64 (log1p.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (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)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (*.f64 x x) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (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 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (*.f64 x x) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (+.f64 (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
(+ (log -1/8) (* -4 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) (/.f64 #s(literal -4 binary64) (*.f64 x x))))
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 (fabs.f64 x) #s(literal -192 binary64)) #s(literal -384 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))))
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 (fabs.f64 x) #s(literal -192 binary64)) #s(literal -384 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 (fabs.f64 x) #s(literal -23040 binary64)) #s(literal -38400 binary64)) (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 x x))))))
(+ (log -1/8) (* -4 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -4 binary64)))
(- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 #s(literal -4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -4 binary64)) (+.f64 (+.f64 (log.f64 #s(literal -1/8 binary64)) (/.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 (fabs.f64 x) #s(literal -192 binary64)) #s(literal -384 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 x x))))
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -4 binary64)) (+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 (fabs.f64 x) #s(literal -192 binary64)) #s(literal -384 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 (fabs.f64 x) #s(literal -23040 binary64)) #s(literal -38400 binary64)) (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 x x))))))
(fabs x)
(fabs.f64 x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))))
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))))
(* -1/8 (pow x 4))
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64)))))
(* -1/8 (pow x 4))
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 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))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(* 1/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(* 1/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(* 1/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(* 1/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(* 1/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(* 1/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(* 1/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(* 1/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(* 1/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(* 1/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(* 1/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))

eval132.0ms (1.6%)

Compiler

Compiled 11254 to 2187 computations (80.6% saved)

prune114.0ms (1.4%)

Pruning

23 alts after pruning (12 fresh and 11 done)

PrunedKeptTotal
New7857792
Fresh055
Picked055
Done066
Total78523808
Accuracy
100.0%
Counts
808 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.8%
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
5.4%
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x)
10.2%
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x)
9.8%
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
5.4%
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x)
9.8%
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x)
5.4%
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
62.9%
(copysign.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
47.6%
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x)
53.4%
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
9.2%
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
63.0%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
28.6%
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
28.7%
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)
27.0%
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
26.2%
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
7.2%
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))))) x)
4.1%
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) x)
56.5%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
20.0%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
25.9%
(copysign.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x)
9.0%
(copysign.f64 (log.f64 (neg.f64 x)) x)
9.8%
(copysign.f64 (log.f64 x) x)
Compiler

Compiled 681 to 342 computations (49.8% saved)

regimes49.0ms (0.6%)

Counts
32 → 3
Calls
Call 1
Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x)
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x)
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x)
(copysign.f64 (log1p.f64 (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 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) x)
(copysign.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)
Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
Calls

2 calls:

9.0ms
x
8.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
100.0%3x
100.0%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)

regimes10.0ms (0.1%)

Counts
28 → 3
Calls
Call 1
Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x)
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x)
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x)
(copysign.f64 (log1p.f64 (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 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) x)
(copysign.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))))) x)
Outputs
(copysign.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts
26 → 3
Calls
Call 1
Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x)
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x)
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x)
(copysign.f64 (log1p.f64 (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 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) x)
Outputs
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts
24 → 3
Calls
Call 1
Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x)
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x)
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x)
(copysign.f64 (log1p.f64 (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 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
Outputs
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts
23 → 3
Calls
Call 1
Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x)
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x)
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x)
(copysign.f64 (log1p.f64 (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 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x)
Outputs
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
20 → 3
Calls
Call 1
Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x)
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x)
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x)
(copysign.f64 (log1p.f64 (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 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.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 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
19 → 3
Calls
Call 1
Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x)
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x)
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x)
(copysign.f64 (log1p.f64 (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 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x)
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) 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 #s(literal 1/2 binary64) x)) x)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
98.4%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x)
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x)
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x)
(copysign.f64 (log1p.f64 (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 #s(literal 1/2 binary64) x)) x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
81.8%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
12 → 2
Calls
Call 1
Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (/.f64 (fabs.f64 x) x) x)
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x)
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x)
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x)
Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
37.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
3 → 2
Calls
Call 1
Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x)
Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 x) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
18.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(copysign.f64 (log.f64 x) x)
Outputs
(copysign.f64 (log.f64 x) x)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
9.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.02184916458824937
0.0ms
-1.2917287843724665
-2.2907836242220248e-5
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch40.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
0.02185090304393414
116.60067571442227
19.0ms
-1.6821384908898747
-2.2907836244408677e-5
Results
26.0ms272×0valid
Compiler

Compiled 669 to 450 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-log: 5.0ms (27.8% of total)
ival-mult: 4.0ms (22.3% of total)
ival-add: 3.0ms (16.7% of total)
ival-copysign: 2.0ms (11.1% of total)
ival-fabs: 2.0ms (11.1% of total)
ival-sqrt: 2.0ms (11.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch202.0ms (2.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
53.0ms
0.02185090304393414
116.60067571442227
146.0ms
-1.6821384908898747
-2.2907836244408677e-5
Results
189.0ms272×0valid
Compiler

Compiled 615 to 414 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 180.0ms
ival-fabs: 127.0ms (70.5% of total)
ival-sqrt: 40.0ms (22.2% of total)
ival-mult: 4.0ms (2.2% of total)
ival-add: 3.0ms (1.7% of total)
ival-log: 3.0ms (1.7% of total)
ival-copysign: 2.0ms (1.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
0.02185090304393414
116.60067571442227
22.0ms
-1.6821384908898747
-2.2907836244408677e-5
Results
25.0ms272×0valid
Compiler

Compiled 513 to 363 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-add: 3.0ms (18.3% of total)
ival-log: 3.0ms (18.3% of total)
ival-fabs: 3.0ms (18.3% of total)
ival-copysign: 2.0ms (12.2% of total)
ival-mult: 2.0ms (12.2% of total)
ival-sqrt: 2.0ms (12.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.02185090304393414
116.60067571442227
22.0ms
-1.6821384908898747
-2.2907836244408677e-5
Results
27.0ms272×0valid
Compiler

Compiled 423 to 291 computations (31.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-add: 6.0ms (33% of total)
ival-log: 3.0ms (16.5% of total)
ival-sqrt: 3.0ms (16.5% of total)
ival-copysign: 2.0ms (11% of total)
ival-fabs: 2.0ms (11% of total)
ival-mult: 2.0ms (11% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch58.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.02185090304393414
116.60067571442227
39.0ms
-1.6821384908898747
-2.2907836244408677e-5
Results
44.0ms272×0valid
Compiler

Compiled 321 to 223 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-log: 15.0ms (55.7% of total)
ival-add: 3.0ms (11.1% of total)
ival-copysign: 2.0ms (7.4% of total)
ival-fabs: 2.0ms (7.4% of total)
ival-mult: 2.0ms (7.4% of total)
ival-sqrt: 2.0ms (7.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch80.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.02185090304393414
116.60067571442227
61.0ms
-1.6821384908898747
-2.2907836244408677e-5
Results
67.0ms272×0valid
Compiler

Compiled 281 to 199 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-add: 47.0ms (79.8% of total)
ival-log: 3.0ms (5.1% of total)
ival-copysign: 2.0ms (3.4% of total)
ival-fabs: 2.0ms (3.4% of total)
ival-mult: 2.0ms (3.4% of total)
ival-sqrt: 2.0ms (3.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch61.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
59.0ms
0.02185090304393414
116.60067571442227
Results
11.0ms128×0valid
Compiler

Compiled 137 to 100 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-copysign: 1.0ms (15% of total)
ival-add: 1.0ms (15% of total)
ival-log: 1.0ms (15% of total)
ival-fabs: 1.0ms (15% of total)
ival-mult: 1.0ms (15% of total)
ival-sqrt: 1.0ms (15% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch155.0ms (1.9%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
148.0ms
-2.5377104834959714e-303
3.428563534563612e-303
Results
142.0ms160×2valid
Compiler

Compiled 167 to 122 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-sqrt: 67.0ms (52.9% of total)
ival-log: 37.0ms (29.2% of total)
backward-pass: 6.0ms (4.7% of total)
ival-copysign: 5.0ms (3.9% of total)
ival-add: 5.0ms (3.9% of total)
ival-mult: 4.0ms (3.2% of total)
ival-fabs: 3.0ms (2.4% of total)
const: 0.0ms (0% of total)

bsearch92.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
88.0ms
-2.5377104834959714e-303
3.428563534563612e-303
Results
79.0ms160×2valid
Compiler

Compiled 147 to 102 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-log: 35.0ms (54.8% of total)
backward-pass: 6.0ms (9.4% of total)
ival-copysign: 5.0ms (7.8% of total)
ival-add: 5.0ms (7.8% of total)
ival-sqrt: 4.0ms (6.3% of total)
ival-mult: 4.0ms (6.3% of total)
ival-fabs: 3.0ms (4.7% of total)
const: 0.0ms (0% of total)

simplify49.0ms (0.6%)

Algorithm
egg-herbie
Rules
264×distribute-lft-neg-in_binary64
164×neg-mul-1_binary64
150×distribute-neg-in_binary64
146×neg-sub0_binary64
134×unsub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
092354
1132354
2176354
3214352
4267351
5343351
6460351
7615351
8767351
9874351
10934351
11969351
12978351
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 -1 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 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 0 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)))
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)))
(if (<=.f64 x #s(literal -3/2 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (log.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 -1 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 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 0 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)))
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)))
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)))) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)))) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)))
(if (<=.f64 x #s(literal -3/2 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log.f64 x) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (log.f64 x) x)

soundness1.6s (19.4%)

Rules
3784×*-lowering-*.f32
3784×*-lowering-*.f64
3008×fma-lowering-fma.f32
3008×fma-lowering-fma.f64
2948×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02051529
15731398
218061355
360771353
084121353
027137
165129
2169121
3489121
41259121
55537121
08084121
0911
1159
2169
3179
0179
028116
193116
236492
3260692
0844792
0147576
1447477
21535465
35702465
08709465
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1119 to 605 computations (45.9% saved)

preprocess185.0ms (2.3%)

Compiler

Compiled 792 to 218 computations (72.5% saved)

end0.0ms (0%)

Profiling

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