Rust f32::asinh

Time bar (total: 8.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.6%0.4%0%0%0%0
100%99.6%0%0.4%0%0%0%1
Compiler

Compiled 4 to 4 computations (0% saved)

sample769.0ms (8.7%)

Memory
-21.0MiB live, 787.3MiB allocated
Samples
641.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 222.0ms
ival-asinh: 213.0ms (95.8% of total)
ival-true: 6.0ms (2.7% of total)
ival-assert: 3.0ms (1.3% of total)
Bogosity

explain218.0ms (2.5%)

Memory
-10.5MiB live, 229.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1292(-0.0035976991057395935)0-(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
550-0-(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
00-0-#s(literal 1 binary32)
00-0-(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
00-0-(*.f32 x x)
00-0-(+.f32 (*.f32 x x) #s(literal 1 binary32))
00-0-(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
00-0-x
00-0-(fabs.f32 x)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))sensitivity1302
sqrt.f32(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue550
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow55
(*.f32 x x)overflow55
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue10
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))overflow1
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow55
(*.f32 x x)overflow55
Confusion
Predicted +Predicted -
+1830
-271
Precision
0.9891891891891892
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18300
-2269
Precision?
0.9786096256684492
Recall?
1.0
Freqs
test
numberfreq
071
1184
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
64.0ms200×1valid
42.0ms312×0valid
Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-copysign: 21.0ms (23% of total)
ival-mult: 19.0ms (20.8% of total)
ival-hypot: 19.0ms (20.8% of total)
ival-add: 13.0ms (14.2% of total)
ival-log: 12.0ms (13.1% of total)
adjust: 4.0ms (4.4% of total)
ival-fabs: 3.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess12.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Algorithm
egg-herbie
Rules
12×sub-neg
lower-+.f64
+-commutative
lift-+.f32
lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1107
2147
3177
4217
5287
6357
0912
01612
12012
02011
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 12 to 9 computations (25% saved)

simplify4.0ms (0%)

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

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
cost-diff64
(+.f32 (*.f32 x x) #s(literal 1 binary32))
Rules
lower-+.f64
lift-+.f32
lower-+.f32
+-commutative
lower-sqrt.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0949
01649
12049
02044
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(fabs.f32 x)
x
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(fma.f32 x x #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)

localize77.0ms (0.9%)

Memory
-5.2MiB live, 30.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(fabs.f32 x)
accuracy0.03515625
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy5.813414089258283
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
accuracy12.971287941248058
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
Samples
54.0ms100×1valid
14.0ms156×0valid
Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-log: 6.0ms (24.6% of total)
ival-hypot: 6.0ms (24.6% of total)
ival-copysign: 3.0ms (12.3% of total)
ival-add: 3.0ms (12.3% of total)
adjust: 2.0ms (8.2% of total)
ival-fabs: 2.0ms (8.2% of total)
ival-mult: 2.0ms (8.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation:binary32>) () ())
#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation:binary32>) () ())
#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation:binary32>) () ())
#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation:binary32>) () ())
#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation:binary32>) () ())
#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation:binary32>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation:binary32>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation:binary32>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation:binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation:binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation:binary32>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation:binary32>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation:binary32>) () ())) ())
#s(alt (+ 1 (fabs x)) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation:binary32>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation:binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation:binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation:binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation:binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation:binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation:binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation:binary32>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation:binary32>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) (taylor inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation:binary32>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) (taylor inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation:binary32>) () ())) ())
#s(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)))) (taylor inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation:binary32>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (* x (+ 1 (/ (fabs x) x))) (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation:binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation:binary32>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation:binary32>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation:binary32>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation:binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation:binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation:binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation:binary32>) () ())) ())
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation:binary32>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) (taylor -inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation:binary32>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) (taylor -inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation:binary32>) () ())) ())
#s(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))) (taylor -inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation:binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) (taylor -inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) (taylor -inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation:binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation:binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation:binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation:binary32>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())) ())
Calls

3 calls:

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

simplify348.0ms (3.9%)

Memory
-30.0MiB live, 255.3MiB allocated
Algorithm
egg-herbie
Rules
24 610×lower-fma.f64
24 610×lower-fma.f32
4 994×lower-*.f64
4 994×lower-*.f32
4 040×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169782
1490754
21513741
35415691
08408635
Stop Event
iter limit
node limit
Counts
72 → 70
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(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 (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))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -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))))
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)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -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 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
Outputs
1
#s(literal 1 binary32)
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) #s(literal 45 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))) #s(literal 1/720 binary32)) (*.f32 x x))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))))
(+ 1 (fabs x))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(fma.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f32 (fabs.f32 x) x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f32 x (/.f32 #s(literal -1/2 binary32) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) x (/.f32 #s(literal 1/2 binary32) x)))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) 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)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) x) (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (fabs.f32 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f32 (-.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (neg.f32 x) (/.f32 #s(literal -1/2 binary32) x)))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)

rewrite235.0ms (2.6%)

Memory
22.0MiB live, 139.0MiB allocated
Rules
5 872×lower-fma.f64
5 872×lower-fma.f32
3 070×lower-*.f64
3 068×lower-*.f32
2 316×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0944
01644
15144
232444
3341944
0835239
Stop Event
iter limit
node limit
iter limit
Counts
6 → 273
Calls
Call 1
Inputs
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(fabs.f32 x)
Outputs
(*.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))))))
(*.f32 (exp.f32 (log1p.f32 (pow.f32 x #s(literal 6 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (neg.f32 x) x (pow.f32 x #s(literal 4 binary32)))))))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (+.f32 (hypot.f32 (*.f32 x x) x) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (pow.f32 x #s(literal 8 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 2 binary32)))) (hypot.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) x))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 12 binary32)))) (-.f32 (hypot.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 x #s(literal 6 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (hypot.f32 (*.f32 x x) x) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) x))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/4 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))
(*.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))
(sqrt.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (exp.f32 (log1p.f32 (pow.f32 x #s(literal 4 binary32)))) (exp.f32 (log1p.f32 (*.f32 (neg.f32 x) x))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log1p.f32 (*.f32 (neg.f32 x) x))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) (exp.f32 (log.f32 (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))))
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (exp.f32 (log1p.f32 (pow.f32 x #s(literal 6 binary32)))) (exp.f32 (log1p.f32 (fma.f32 (neg.f32 x) x (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))) (-.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -2 binary32))) (+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 12 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -3 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -2 binary32)) (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))
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(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 9/2 binary32)) (pow.f32 x #s(literal 9 binary32))) (*.f32 (-.f32 (+.f32 (hypot.f32 x x) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (-.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 (hypot.f32 (*.f32 x x) x) #s(literal 3/2 binary32)))))
(/.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (-.f32 (+.f32 (hypot.f32 x x) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (-.f32 (+.f32 (hypot.f32 x x) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(-.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(-.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)))) (+.f32 (+.f32 (hypot.f32 x x) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (fabs.f32 x))
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32)) (fabs.f32 x))
(fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (fabs.f32 x))
(fma.f32 (neg.f32 x) (/.f32 (neg.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (fabs.f32 x) (/.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 x (/.f32 x (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(pow.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal -1 binary32))
(+.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(exp.f32 (*.f32 (neg.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (-.f32 (+.f32 (hypot.f32 x x) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))
(neg.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (-.f32 (+.f32 (hypot.f32 x x) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (exp.f32 (log.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (pow.f32 x #s(literal 6 binary32))))) (exp.f32 (log.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (sqrt.f32 (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log1p.f32 (*.f32 x x)))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 4 binary32)) #s(literal 1/8 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(exp.f32 (-.f32 (log1p.f32 (*.f32 x x)) (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(exp.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (log1p.f32 (*.f32 x x))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (*.f32 x x))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(pow.f32 (fabs.f32 x) #s(literal 1 binary32))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(fabs.f32 (neg.f32 x))
(fabs.f32 x)
(exp.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (fabs.f32 x)))

eval162.0ms (1.8%)

Memory
-21.0MiB live, 53.8MiB allocated
Compiler

Compiled 8 079 to 1 618 computations (80% saved)

prune98.0ms (1.1%)

Memory
-3.4MiB live, 36.5MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New32518343
Fresh000
Picked101
Done000
Total32618344
Accuracy
99.8%
Counts
344 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.3%
(copysign.f32 (-.f32 (log.f32 (-.f32 (*.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (pow.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 2 binary32)))) x)
13.1%
(copysign.f32 (+.f32 (log.f32 (-.f32 (+.f32 (hypot.f32 x x) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (log.f32 (/.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (+.f32 (hypot.f32 x x) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))) x)
39.5%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) x)
18.6%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
39.6%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
38.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
21.3%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
27.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
26.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
31.5%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
13.3%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
28.3%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
27.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
57.2%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))) x)
58.2%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
14.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) x)
69.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
12.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Compiler

Compiled 602 to 362 computations (39.9% saved)

simplify19.0ms (0.2%)

Memory
15.4MiB live, 15.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) x)
cost-diff128
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32))))
cost-diff288
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))
cost-diff352
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32))
cost-diff0
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))
cost-diff0
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))
cost-diff0
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))))
cost-diff0
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
cost-diff0
(fabs.f32 x)
cost-diff0
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
cost-diff0
(log.f32 x)
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
cost-diff0
(fabs.f32 x)
cost-diff0
(log1p.f32 (fabs.f32 x))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
Rules
712×lower-fma.f64
702×lower-fma.f32
352×lower-*.f64
350×lower-*.f32
154×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037336
066328
192325
2128321
3215321
4423321
5555321
6588321
7589321
0589321
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))
#s(literal 1/2 binary32)
(*.f32 x x)
#s(literal 1 binary32)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32))
#s(literal -1/8 binary32)
(*.f32 x x)
x
#s(literal 1/2 binary32)
(fabs.f32 x)
#s(literal 1 binary32)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) x)
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32))))
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
#s(literal 1 binary32)
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
x
(fabs.f32 x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32))) (fabs.f32 x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32))) (fabs.f32 x))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32))
#s(literal 1/2 binary32)
(*.f32 x x)
#s(literal 1 binary32)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32))
#s(literal -1/8 binary32)
(*.f32 x x)
x
#s(literal 1/2 binary32)
(fabs.f32 x)
#s(literal 1 binary32)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))
(neg.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
#s(literal 1 binary32)
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
x
(fabs.f32 x)

localize134.0ms (1.5%)

Memory
4.1MiB live, 50.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
accuracy0.04296875
(/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
accuracy2.9862456399151225
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
accuracy5.8209975364945015
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))
accuracy0.0234375
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32))
accuracy0.09522910676776768
(fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32))
accuracy5.915135137523212
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))))
accuracy7.148415951437472
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))
accuracy0
(fabs.f32 x)
accuracy0.015625
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))
accuracy5.915135137523212
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))))
accuracy6.199016243769893
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))
accuracy0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
accuracy0
(log.f32 x)
accuracy11.461354210856525
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
accuracy0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
accuracy0
(log1p.f32 (fabs.f32 x))
accuracy0
(fabs.f32 x)
accuracy4.527325282710093
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
Samples
76.0ms136×0invalid
17.0ms42×1valid
16.0ms78×0valid
Compiler

Compiled 279 to 29 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-copysign: 52.0ms (55% of total)
ival-log: 10.0ms (10.6% of total)
ival-add: 9.0ms (9.5% of total)
ival-mult: 7.0ms (7.4% of total)
ival-hypot: 5.0ms (5.3% of total)
ival-div: 4.0ms (4.2% of total)
adjust: 2.0ms (2.1% of total)
ival-fabs: 2.0ms (2.1% of total)
ival-log1p: 2.0ms (2.1% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series186.0ms (2.1%)

Memory
-11.9MiB live, 60.1MiB allocated
Counts
24 → 288
Calls
Call 1
Inputs
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation:binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation:binary32>) () ())
#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation:binary32>) () ())
#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) #<representation:binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) #<representation:binary32>) () ())
#s(alt (log.f32 x) (patch (log.f32 x) #<representation:binary32>) () ())
#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x) #<representation:binary32>) () ())
#s(alt (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) #<representation:binary32>) () ())
#s(alt (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))) #<representation:binary32>) () ())
#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x) #<representation:binary32>) () ())
#s(alt (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) #<representation:binary32>) () ())
#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))) #<representation:binary32>) () ())
#s(alt (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)) #<representation:binary32>) () ())
#s(alt (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)) (patch (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)) #<representation:binary32>) () ())
#s(alt (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32))) (patch (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32))) #<representation:binary32>) () ())
#s(alt (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) (patch (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) #<representation:binary32>) () ())
#s(alt (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) x) (patch (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) x) #<representation:binary32>) () ())
#s(alt #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))) (patch #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))) #<representation:binary32>) () ())
#s(alt (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) #<representation:binary32>) () ())
#s(alt (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) #<representation:binary32>) () ())
#s(alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #<representation:binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #<representation:binary32>) () ())
#s(alt (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation:binary32>) () ())
Outputs
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation:binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation:binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation:binary32>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation:binary32>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation:binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation:binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation:binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation:binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation:binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) #<representation:binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) #<representation:binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) #<representation:binary32>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) #<representation:binary32>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) #<representation:binary32>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f32 x) (patch (log.f32 x) #<representation:binary32>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f32 x) (patch (log.f32 x) #<representation:binary32>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f32 x) (patch (log.f32 x) #<representation:binary32>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f32 x) (patch (log.f32 x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x) #<representation:binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) #<representation:binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) #<representation:binary32>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) #<representation:binary32>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) #<representation:binary32>) () ())) ())
#s(alt (+ 1 (fabs x)) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x) #<representation:binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
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#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #<representation:binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #<representation:binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #<representation:binary32>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #<representation:binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ (fabs x) x)) x)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #<representation:binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #<representation:binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #<representation:binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation:binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) (taylor -inf x) (#s(alt (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation:binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation:binary32>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
79.0ms
x
@0
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fabs x)) 1) (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1) (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1)) (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (copysign (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) x) (sqrt (+ (* x x) 1)) (+ (* -1/8 (* x x)) 1/2) (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (sqrt (+ (* x x) 1)) (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (sqrt (+ (* x x) 1)) (fabs x)))
46.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fabs x)) 1) (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1) (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1)) (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (copysign (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) x) (sqrt (+ (* x x) 1)) (+ (* -1/8 (* x x)) 1/2) (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (sqrt (+ (* x x) 1)) (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (sqrt (+ (* x x) 1)) (fabs x)))
23.0ms
x
@inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fabs x)) 1) (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1) (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1)) (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (copysign (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) x) (sqrt (+ (* x x) 1)) (+ (* -1/8 (* x x)) 1/2) (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (sqrt (+ (* x x) 1)) (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (sqrt (+ (* x x) 1)) (fabs x)))

simplify476.0ms (5.4%)

Memory
9.7MiB live, 291.2MiB allocated
Algorithm
egg-herbie
Rules
15 836×lower-fma.f64
15 836×lower-fma.f32
5 192×lower-+.f64
5 192×lower-+.f32
4 252×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03734761
111494505
238024254
082053929
Stop Event
iter limit
node limit
Counts
288 → 283
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)
(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)))))))
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(log (+ 1 (fabs x)))
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(log (+ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs 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)))
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(+ (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)))))))
(log x)
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(log 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)))
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(+ 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))))))
(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 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
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(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(+ 1 (+ (* -1/8 (* (pow x 2) (pow (fabs x) 2))) (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(+ 1 (+ (* -1/8 (* (pow x 2) (pow (fabs x) 2))) (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(+ 1 (+ (* -1/8 (* (pow x 2) (pow (fabs x) 2))) (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(/ 1 (+ 1 (fabs x)))
(+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
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1
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x
(* x (+ 1 (/ (fabs x) x)))
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(+ (* -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))))
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)))))
(* -1/8 (* (pow x 2) (pow (fabs x) 2)))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x)
(log (/ 1 x))
(+ (log (/ 1 x)) (* -1 (/ (fabs x) x)))
(+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2)))))
(+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))
(* -1 (log (/ 1 x)))
(- (/ (fabs x) x) (log (/ 1 x)))
(- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x))))
(- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* -1/8 (* (pow x 2) (fabs x)))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x)
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)))))
(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)
(* -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)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs 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)
(* -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)))
(+ (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 (+ (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)
(* -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 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)))))
(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)
(* -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 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1/8 (* (pow x 2) (pow (fabs x) 2)))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ (fabs x) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))
(log (/ -1 x))
(+ (log (/ -1 x)) (/ (fabs x) x))
(+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 (log (/ -1 x)))
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* -1/8 (* (pow x 2) (fabs x)))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ (fabs x) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))
(* -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)))))
Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 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)))))))
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(* -1 (log (/ 1 (+ 1 (fabs x)))))
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1
#s(literal 1 binary32)
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1/2
#s(literal 1/2 binary32)
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1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
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(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
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(*.f32 (neg.f32 x) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* -1/8 (pow x 2))
(*.f32 #s(literal -1/8 binary32) (*.f32 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) x) x)
(* -1/8 (* (pow x 2) (fabs x)))
(*.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1/8 binary32))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(fma.f32 (*.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32))) (*.f32 x x) #s(literal 1 binary32))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(fma.f32 (*.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32))) (*.f32 x x) #s(literal 1 binary32))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(fma.f32 (*.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32))) (*.f32 x x) #s(literal 1 binary32))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(*.f32 (neg.f32 x) (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(*.f32 (neg.f32 x) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(* -1 (/ (+ 1 (/ (fabs x) x)) x))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 (fma.f32 x x #s(literal -1/2 binary32)) x) (fabs.f32 x)) x) #s(literal 1 binary32)) (neg.f32 x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (fabs.f32 x) x) (-.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 x x))) (fma.f32 x x #s(literal -1/2 binary32))) (neg.f32 x)) (fabs.f32 x)) x) #s(literal -1 binary32)) x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fma.f32 (/.f32 (-.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) x) x (neg.f32 x))

rewrite224.0ms (2.5%)

Memory
-6.1MiB live, 382.2MiB allocated
Rules
4 876×lower-fma.f64
4 866×lower-fma.f32
4 752×lower-*.f64
4 750×lower-*.f32
4 474×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037303
066295
1211288
21410288
08317288
Stop Event
iter limit
node limit
iter limit
Counts
24 → 565
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32))
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32))))
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) x)
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))
(fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (*.f32 x x))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (neg.f32 (*.f32 x x))) (log1p.f32 (neg.f32 (*.f32 x x))) (fma.f32 (log1p.f32 (neg.f32 (fabs.f32 x))) (log1p.f32 (neg.f32 (fabs.f32 x))) (*.f32 (log1p.f32 (neg.f32 (*.f32 x x))) (log1p.f32 (neg.f32 (fabs.f32 x)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (fma.f32 (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))) (*.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x)))))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))))
(-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))))
(-.f32 (log1p.f32 (neg.f32 (*.f32 x x))) (log1p.f32 (neg.f32 (fabs.f32 x))))
(-.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(-.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (neg.f32 (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(+.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(log1p.f32 (fabs.f32 x))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(fabs.f32 (neg.f32 (neg.f32 (neg.f32 x))))
(fabs.f32 (neg.f32 (neg.f32 x)))
(fabs.f32 (neg.f32 x))
(fabs.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x))) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x)))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))))) #s(literal 3 binary32))) (fma.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(literal 2 binary32)))) (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(literal 2 binary32)))) (fma.f32 (log.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))))) (log.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))))) (*.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(literal 2 binary32)))) (log.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 (hypot.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x)))) #s(literal 3 binary32))) (fma.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (log.f32 (-.f32 (hypot.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x)))) (log.f32 (-.f32 (hypot.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x)))) (*.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (-.f32 (hypot.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x))))))))
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(literal 2 binary32)) (*.f32 x x))) (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x))))
(-.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (-.f32 (hypot.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x))))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(literal 2 binary32)))) (log.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))))))
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(literal 2 binary32)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x))))))
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (-.f32 (hypot.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x)))))
(+.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))))))
(+.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (hypot.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x))))))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x)))))
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(/.f32 (*.f32 (+.f32 (pow.f32 (fabs.f32 x) #s(literal 9 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 9/2 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))
(/.f32 (*.f32 (+.f32 (pow.f32 (fabs.f32 x) #s(literal 9 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 9/2 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (*.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 9/2 binary32)) (pow.f32 (fabs.f32 x) #s(literal 9 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) (*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))
(/.f32 (*.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 9/2 binary32)) (pow.f32 (fabs.f32 x) #s(literal 9 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) (*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (*.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (*.f32 x x))) (*.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (*.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (*.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (*.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(-.f32 (/.f32 (*.f32 x x) (*.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(-.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (/.f32 (*.f32 x x) (*.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))
(-.f32 (/.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (/.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(-.f32 (/.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)) (/.f32 (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(-.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(-.f32 #s(literal 0 binary32) (/.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #s(literal -1 binary32)))
(fma.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (fabs.f32 x))
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fabs.f32 x))
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) (fabs.f32 x))
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)) (fabs.f32 x))
(fma.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))) (fabs.f32 x))
(fma.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))) (fabs.f32 x))
(fma.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))) #s(literal 1/2 binary32)) (fabs.f32 x))
(fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32) (fabs.f32 x))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal -1 binary32))
(pow.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #s(literal 1 binary32))
(+.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) (fabs.f32 x))
(+.f32 (*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(+.f32 (fabs.f32 x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)))
(+.f32 (fabs.f32 x) (*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(exp.f32 (*.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))

eval176.0ms (2%)

Memory
19.5MiB live, 260.2MiB allocated
Compiler

Compiled 24 723 to 4 024 computations (83.7% saved)

prune76.0ms (0.9%)

Memory
-25.1MiB live, 101.7MiB allocated
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New9186924
Fresh21113
Picked325
Done000
Total92319942
Accuracy
99.8%
Counts
942 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.3%
(copysign.f32 (-.f32 (log.f32 (-.f32 (*.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (pow.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 2 binary32)))) x)
13.1%
(copysign.f32 (+.f32 (log.f32 (-.f32 (+.f32 (hypot.f32 x x) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (log.f32 (/.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (+.f32 (hypot.f32 x x) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))) x)
39.4%
(copysign.f32 (neg.f32 (+.f32 (log.f32 (pow.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #s(literal -1/2 binary32))))) x)
18.6%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
39.5%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
14.4%
(copysign.f32 (neg.f32 #s(approx (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fabs.f32 x) x)))) x)
39.6%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
38.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
27.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
26.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
31.5%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
21.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
28.3%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
27.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
58.2%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
57.2%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
57.2%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))) x)
69.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
12.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Compiler

Compiled 675 to 389 computations (42.4% saved)

simplify471.0ms (5.3%)

Memory
7.7MiB live, 203.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))) x)
cost-diff448
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))
cost-diff3232
(+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
cost-diff0
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
cost-diff128
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))
cost-diff288
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
cost-diff0
(fabs.f32 x)
cost-diff0
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
cost-diff0
(+.f32 (fabs.f32 x) x)
cost-diff0
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))
cost-diff0
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)))
cost-diff0
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
cost-diff0
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
cost-diff0
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
cost-diff0
#s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))))
cost-diff0
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
Rules
6 632×lower-fma.f64
6 624×lower-fma.f32
2 064×lower-*.f64
2 060×lower-*.f32
972×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055486
093477
1140469
2224469
3294465
4417465
5576465
6863465
71107465
81698465
92017465
102772465
113834465
124420459
134761459
144834459
154849459
164855459
175084456
186223456
196546456
206561456
216561456
226591450
236607450
246631450
256637450
266721450
276817450
286849450
296849450
306849450
06849447
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
#s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
#s(literal 1/2 binary32)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
#s(literal 1 binary32)
(fabs.f32 x)
x
(log1p.f32 (fabs.f32 x))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))
(+.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(-.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
#s(literal 1 binary32)
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
x
(fabs.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))
(*.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
x
(/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(fabs.f32 x)
#s(literal 1 binary32)
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
(+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))
#s(literal -1/8 binary32)
(pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(log1p.f32 (fabs.f32 x))
Outputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(fma.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal -1 binary32) (fabs.f32 x)))
#s(literal 1/2 binary32)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
#s(literal 1 binary32)
(fabs.f32 x)
x
(log1p.f32 (fabs.f32 x))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))
(+.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(-.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(neg.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
x
(fabs.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))
(-.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(*.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
x
(/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
(fabs.f32 x)
#s(literal 1 binary32)
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/8 binary32)) (-.f32 #s(literal -1 binary32) (fabs.f32 x))) (pow.f32 x #s(literal 4 binary32)) (log1p.f32 (fabs.f32 x)))
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
(+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(/.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/8 binary32)) (-.f32 #s(literal -1 binary32) (fabs.f32 x)))
(/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal -1/8 binary32) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 2 binary32)))
#s(literal -1/8 binary32)
(pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(log1p.f32 (fabs.f32 x))

localize225.0ms (2.5%)

Memory
-2.8MiB live, 279.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09603500976844202
(pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))
accuracy0.2536942204818079
(/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))
accuracy0.7928907670063395
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))
accuracy14.678213300735935
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))))
accuracy0.03515625
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
accuracy0.15471695949435182
(/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
accuracy5.813414089258283
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
accuracy6.400502222985651
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
accuracy0.01953125
(-.f32 x (/.f32 #s(literal -1/2 binary32) x))
accuracy0.03515625
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
accuracy6.6370567164974625
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
accuracy16.564937891525517
#s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
accuracy0
(+.f32 (fabs.f32 x) x)
accuracy0
(fabs.f32 x)
accuracy6.6370567164974625
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)))
accuracy16.367149609306033
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))
accuracy0.03125
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
accuracy0.078125
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
accuracy0.12728500976844204
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
accuracy13.356243899192242
#s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))))
Samples
86.0ms58×1exit
53.0ms156×0valid
30.0ms42×1valid
Compiler

Compiled 387 to 46 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 149.0ms
ival-mult: 69.0ms (46.4% of total)
ival-add: 15.0ms (10.1% of total)
ival-log: 14.0ms (9.4% of total)
ival-div: 13.0ms (8.7% of total)
adjust: 8.0ms (5.4% of total)
ival-hypot: 6.0ms (4% of total)
ival-copysign: 6.0ms (4% of total)
ival-pow: 4.0ms (2.7% of total)
ival-fabs: 3.0ms (2% of total)
ival-pow2: 3.0ms (2% of total)
ival-log1p: 2.0ms (1.3% of total)
ival-neg: 2.0ms (1.3% of total)
ival-sub: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory
7.3MiB live, 83.3MiB allocated
Counts
28 → 336
Calls
Call 1
Inputs
#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x) #<representation:binary32>) () ())
#s(alt #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) (patch #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) #<representation:binary32>) () ())
#s(alt (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))) (patch (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))) #<representation:binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) (patch (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) #<representation:binary32>) () ())
#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x) #<representation:binary32>) () ())
#s(alt (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) #<representation:binary32>) () ())
#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)) #<representation:binary32>) () ())
#s(alt (+.f32 (fabs.f32 x) x) (patch (+.f32 (fabs.f32 x) x) #<representation:binary32>) () ())
#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x) #<representation:binary32>) () ())
#s(alt (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) (patch (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) #<representation:binary32>) () ())
#s(alt (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))) (patch (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))) #<representation:binary32>) () ())
#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())
#s(alt (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (patch (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) #<representation:binary32>) () ())
#s(alt (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) (patch (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) #<representation:binary32>) () ())
#s(alt (copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x) (patch (copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x) #<representation:binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #<representation:binary32>) () ())
#s(alt (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (patch (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) #<representation:binary32>) () ())
#s(alt (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))) (patch (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))) #<representation:binary32>) () ())
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))) x) #<representation:binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))) #<representation:binary32>) () ())
#s(alt (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (patch (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #<representation:binary32>) () ())
#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #<representation:binary32>) () ())
#s(alt (-.f32 x (/.f32 #s(literal -1/2 binary32) x)) (patch (-.f32 x (/.f32 #s(literal -1/2 binary32) x)) #<representation:binary32>) () ())
#s(alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #<representation:binary32>) () ())
#s(alt (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation:binary32>) () ())
#s(alt (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))) (patch (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))) #<representation:binary32>) () ())
#s(alt (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (patch (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) #<representation:binary32>) () ())
#s(alt (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #<representation:binary32>) () ())
Outputs
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x) #<representation:binary32>) () ())) ())
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#s(alt (* -1 (* (pow x 4) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (taylor -inf x) (#s(alt (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))) (patch (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))) #<representation:binary32>) () ())) ())
#s(alt (* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ (log (+ 1 (fabs x))) (pow x 4)))) (taylor -inf x) (#s(alt (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))) (patch (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))) #<representation:binary32>) () ())) ())
#s(alt (* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ (log (+ 1 (fabs x))) (pow x 4)))) (taylor -inf x) (#s(alt (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))) (patch (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))) #<representation:binary32>) () ())) ())
#s(alt (* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ (log (+ 1 (fabs x))) (pow x 4)))) (taylor -inf x) (#s(alt (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))) (patch (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))) #<representation:binary32>) () ())) ())
#s(alt (/ -1/8 (pow (+ 1 (fabs x)) 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (patch (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) #<representation:binary32>) () ())) ())
#s(alt (/ -1/8 (pow (+ 1 (fabs x)) 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (patch (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) #<representation:binary32>) () ())) ())
#s(alt (/ -1/8 (pow (+ 1 (fabs x)) 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (patch (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) #<representation:binary32>) () ())) ())
#s(alt (/ -1/8 (pow (+ 1 (fabs x)) 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (patch (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) #<representation:binary32>) () ())) ())
#s(alt (pow (+ 1 (fabs x)) 2) (taylor -inf x) (#s(alt (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #<representation:binary32>) () ())) ())
#s(alt (pow (+ 1 (fabs x)) 2) (taylor -inf x) (#s(alt (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #<representation:binary32>) () ())) ())
#s(alt (pow (+ 1 (fabs x)) 2) (taylor -inf x) (#s(alt (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #<representation:binary32>) () ())) ())
#s(alt (pow (+ 1 (fabs x)) 2) (taylor -inf x) (#s(alt (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #<representation:binary32>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((copysign (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) x) (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ 1 (fabs x))) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (log (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x)))) (neg (log (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))))) (copysign (neg (log (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))))) x) (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (/ 1/2 (+ 1 (fabs x))) (sqrt (+ (* x x) 1)) (- x (/ -1/2 x)) (sqrt (+ (* x x) 1)) (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (/ -1/8 (pow (+ (fabs x) 1) 2)) (pow (+ (fabs x) 1) 2))
8.0ms
x
@0
((copysign (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) x) (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ 1 (fabs x))) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (log (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x)))) (neg (log (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))))) (copysign (neg (log (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))))) x) (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (/ 1/2 (+ 1 (fabs x))) (sqrt (+ (* x x) 1)) (- x (/ -1/2 x)) (sqrt (+ (* x x) 1)) (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (/ -1/8 (pow (+ (fabs x) 1) 2)) (pow (+ (fabs x) 1) 2))
7.0ms
x
@inf
((copysign (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) x) (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ 1 (fabs x))) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (log (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x)))) (neg (log (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))))) (copysign (neg (log (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))))) x) (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (/ 1/2 (+ 1 (fabs x))) (sqrt (+ (* x x) 1)) (- x (/ -1/2 x)) (sqrt (+ (* x x) 1)) (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (/ -1/8 (pow (+ (fabs x) 1) 2)) (pow (+ (fabs x) 1) 2))

simplify229.0ms (2.6%)

Memory
9.8MiB live, 355.9MiB allocated
Algorithm
egg-herbie
Rules
18 408×lower-fma.f64
18 408×lower-fma.f32
5 244×lower-+.f64
5 244×lower-+.f32
4 732×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03825678
111955260
240265033
082524678
Stop Event
iter limit
node limit
Counts
336 → 327
Calls
Call 1
Inputs
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(* -1 (log (/ 1 (+ 1 (fabs x)))))
(- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))
(- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs 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 (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))))))
(fabs x)
(+ x (fabs x))
(+ x (fabs x))
(+ x (fabs 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 (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))))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(log (/ 1 (+ 1 (fabs x))))
(+ (log (/ 1 (+ 1 (fabs x)))) (* -1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* 1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* (pow x 2) (+ (* 1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 (+ 1 (fabs x)))))
(- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))
(- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(/ 1 (+ 1 (fabs x)))
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(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(log (+ 1 (fabs x)))
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(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)))
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(+ (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)))))))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(/ 1/2 x)
(/ (+ 1/2 (pow x 2)) x)
(/ (+ 1/2 (pow x 2)) x)
(/ (+ 1/2 (pow x 2)) x)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
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(+ (log (+ 1 (fabs x))) (* -1 (* (pow x 4) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))))
(+ (log (+ 1 (fabs x))) (* -1 (* (pow x 4) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
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(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs 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)
(* -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))))
x
(* x (+ 1 (/ (fabs x) x)))
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x
(* x (+ 1 (/ (fabs x) x)))
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(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)
(* -1 (log (/ 1 x)))
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(+ (* -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))))
x
(* x (+ 1 (/ (fabs x) x)))
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(fabs x)
(fabs x)
(fabs x)
(fabs x)
(log (/ 1 x))
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(- (/ (fabs x) x) (log (/ 1 x)))
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(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(/ 1 x)
(/ (+ 1 (* -1 (/ (fabs x) x))) x)
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(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x)
(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
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(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* -1 (* (pow x 4) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))))
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(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)
(* -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))))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
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 (* (pow x 4) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))))
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ (log (+ 1 (fabs x))) (pow x 4))))
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ (log (+ 1 (fabs x))) (pow x 4))))
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ (log (+ 1 (fabs x))) (pow x 4))))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(* -1 (log (/ -1 x)))
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs 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)
(* -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 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)))))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -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 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)
(log (/ -1 x))
(+ (log (/ -1 x)) (/ (fabs x) x))
(+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 (log (/ -1 x)))
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ (fabs x) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))
(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* -1 (* (pow x 4) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))))
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(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)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1 (* (pow x 4) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))))
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ (log (+ 1 (fabs x))) (pow x 4))))
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ (log (+ 1 (fabs x))) (pow x 4))))
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ (log (+ 1 (fabs x))) (pow x 4))))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
Outputs
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(* -1 (log (/ 1 (+ 1 (fabs x)))))
(log1p.f32 (fabs.f32 x))
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(*.f32 (neg.f32 x) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(*.f32 (neg.f32 x) (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(*.f32 (neg.f32 x) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x (neg.f32 x))
(* -1 (* (pow x 4) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))))
(*.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ (log (+ 1 (fabs x))) (pow x 4))))
(*.f32 (-.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ (log (+ 1 (fabs x))) (pow x 4))))
(*.f32 (-.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ (log (+ 1 (fabs x))) (pow x 4))))
(*.f32 (-.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))
(pow (+ 1 (fabs x)) 2)
(pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))
(pow (+ 1 (fabs x)) 2)
(pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))
(pow (+ 1 (fabs x)) 2)
(pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))
(pow (+ 1 (fabs x)) 2)
(pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))

rewrite280.0ms (3.2%)

Memory
6.9MiB live, 369.2MiB allocated
Rules
4 906×lower-fma.f64
4 898×lower-fma.f32
4 342×lower-/.f64
4 330×lower-/.f32
3 446×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055425
093416
1338408
22750403
08130403
Stop Event
iter limit
node limit
iter limit
Counts
28 → 811
Calls
Call 1
Inputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
#s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))
(+.f32 (fabs.f32 x) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(fabs.f32 x)
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
(/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
#s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(-.f32 x (/.f32 #s(literal -1/2 binary32) x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))
(/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))
(pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))
(*.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x)))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -3 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (hypot.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) (*.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))))) (neg.f32 (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -3 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (-.f32 (hypot.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) (*.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -3 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) (*.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x)))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -3 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)))) (neg.f32 (-.f32 (hypot.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) (*.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))))))
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32))) (-.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))))
(/.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -3 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) (*.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))))))
(/.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -3 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (-.f32 (hypot.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) (*.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) (-.f32 (*.f32 (pow.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (hypot.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) (*.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x)))) (fma.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -3 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) (-.f32 (*.f32 (pow.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))))
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(-.f32 (/.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)))) (/.f32 (*.f32 (pow.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)))))
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(exp.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (log1p.f32 (fabs.f32 x))))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (fabs.f32 x))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)))
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eval173.0ms (2%)

Memory
29.5MiB live, 333.3MiB allocated
Compiler

Compiled 40 391 to 5 213 computations (87.1% saved)

prune65.0ms (0.7%)

Memory
3.3MiB live, 172.9MiB allocated
Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New1 28551 290
Fresh01212
Picked145
Done022
Total1 286231 309
Accuracy
99.8%
Counts
1 309 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.3%
(copysign.f32 (-.f32 (log.f32 (-.f32 (*.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (pow.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 2 binary32)))) x)
13.1%
(copysign.f32 (+.f32 (log.f32 (-.f32 (+.f32 (hypot.f32 x x) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (log.f32 (/.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (+.f32 (hypot.f32 x x) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))) x)
39.4%
(copysign.f32 (neg.f32 (+.f32 (log.f32 (pow.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #s(literal -1/2 binary32))))) x)
18.6%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
39.5%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
14.4%
(copysign.f32 (neg.f32 #s(approx (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fabs.f32 x) x)))) x)
39.6%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
38.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
27.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
26.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
31.5%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
21.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
28.3%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
27.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
58.2%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
34.4%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (/.f32 (-.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32))))) x)
13.2%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
57.2%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
32.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (-.f32 (*.f32 (pow.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 x #s(literal 8 binary32))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (log1p.f32 (fabs.f32 x)))) (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)))) x)
57.2%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x)
69.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
12.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
18.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) x)
Compiler

Compiled 941 to 523 computations (44.4% saved)

simplify271.0ms (3.1%)

Memory
5.2MiB live, 315.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) x)
cost-diff64
(-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))))
cost-diff3072
(+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))
cost-diff3808
(*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))
cost-diff0
(neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
cost-diff0
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
cost-diff352
(/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
cost-diff448
(fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
cost-diff0
(fabs.f32 x)
cost-diff0
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
cost-diff0
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
cost-diff0
#s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))
cost-diff0
#s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)))
cost-diff0
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
cost-diff0
(fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
cost-diff0
(*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x)))))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x)
Rules
19 544×lower-fma.f64
19 534×lower-fma.f32
3 948×lower-*.f64
3 934×lower-*.f32
3 742×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088942
0144940
1239932
2404887
3740868
41637860
53641828
08284814
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x)))))
(fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))
(*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x))
(fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(fabs.f32 x)
x
#s(literal 1 binary32)
#s(literal -2 binary32)
#s(literal -1/8 binary32)
(/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 x x)
(fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x)))
(*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
#s(literal 1/2 binary32)
(log1p.f32 (fabs.f32 x))
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
#s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)))
#s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
#s(literal 1/2 binary32)
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(fabs.f32 x)
x
#s(literal 1 binary32)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
x
#s(literal 1 binary32)
(fabs.f32 x)
(fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))
(*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))
(-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x))))
(/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32)))
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
x
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
(/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))
#s(literal 1/2 binary32)
(*.f32 x (fma.f32 (fabs.f32 x) x x))
(fma.f32 (fabs.f32 x) x x)
(+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
#s(literal 1/8 binary32)
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))
(pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))
#s(literal 2 binary32)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal -2 binary32))) #s(literal -1/8 binary32) (fma.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal -1/8 binary32) x) x #s(literal 1/2 binary32))) x (log1p.f32 (fabs.f32 x))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal -2 binary32))) #s(literal -1/8 binary32) (fma.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal -1/8 binary32) x) x #s(literal 1/2 binary32))) x (log1p.f32 (fabs.f32 x)))))
(fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))
(fma.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal -2 binary32))) #s(literal -1/8 binary32) (fma.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal -1/8 binary32) x) x #s(literal 1/2 binary32))) x (log1p.f32 (fabs.f32 x))))
(*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x))
(*.f32 (*.f32 #s(literal -1/8 binary32) x) (fma.f32 (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal -2 binary32)) x (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
(fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(fma.f32 #s(literal -1/8 binary32) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))
(pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal -2 binary32))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
(fabs.f32 x)
x
#s(literal 1 binary32)
#s(literal -2 binary32)
#s(literal -1/8 binary32)
(/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(*.f32 x x)
(fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (log1p.f32 (fabs.f32 x)))
(*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x)
(/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal 1/2 binary32)
(log1p.f32 (fabs.f32 x))
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x))) x)
#s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x)))
#s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))
#s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x)
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x)
(/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal 1/2 binary32)
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
(fabs.f32 x)
x
#s(literal 1 binary32)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
x
#s(literal 1 binary32)
(fabs.f32 x)
(fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) (log1p.f32 (fabs.f32 x))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) (log1p.f32 (fabs.f32 x)))))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) (log1p.f32 (fabs.f32 x))))
(*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))
(fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) (log1p.f32 (fabs.f32 x)))
(-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (fabs.f32 x)))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 (fabs.f32 x) x x) x)) (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32)))))
(+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 (fabs.f32 x) x x) x)) (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32)))
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
x
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
(/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))
(/.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 (fabs.f32 x) x x) x))
#s(literal 1/2 binary32)
(*.f32 x (fma.f32 (fabs.f32 x) x x))
(*.f32 (fma.f32 (fabs.f32 x) x x) x)
(fma.f32 (fabs.f32 x) x x)
(+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (fabs.f32 x))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 #s(literal 1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal 1/8 binary32)
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
#s(literal 1 binary32)
(/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1/8 binary32) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 2 binary32)))
(pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 2 binary32))
#s(literal 2 binary32)

localize557.0ms (6.3%)

Memory
9.3MiB live, 441.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2536942204818079
(/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))
accuracy0.872723573859785
(/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32)))
accuracy12.95397204722946
(*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))
accuracy14.678213300735935
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))
accuracy5.813414089258283
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
accuracy12.095984647840757
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
accuracy12.734733447736245
(log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
accuracy13.158677466180944
(fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy0.01953125
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
accuracy0.03515625
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
accuracy12.971287941248058
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
accuracy23.153846106708357
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
accuracy0.078125
(/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
accuracy0.12728500976844204
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
accuracy13.356243899192242
#s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)))
accuracy16.39599241353796
#s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))
accuracy0.078125
(/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
accuracy0.13708881837909415
(pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))
accuracy5.99545520550209
(*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x))
accuracy14.678213300735935
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x)))))
Samples
418.0ms185×1valid
34.0ms71×0valid
Compiler

Compiled 655 to 74 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 417.0ms
ival-mult: 177.0ms (42.4% of total)
ival-add: 98.0ms (23.5% of total)
ival-div: 36.0ms (8.6% of total)
adjust: 28.0ms (6.7% of total)
ival-log: 23.0ms (5.5% of total)
ival-copysign: 16.0ms (3.8% of total)
ival-pow: 10.0ms (2.4% of total)
ival-hypot: 9.0ms (2.2% of total)
ival-sub: 7.0ms (1.7% of total)
ival-neg: 4.0ms (1% of total)
ival-log1p: 3.0ms (0.7% of total)
ival-pow2: 3.0ms (0.7% of total)
ival-fabs: 2.0ms (0.5% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series96.0ms (1.1%)

Memory
-2.7MiB live, 77.7MiB allocated
Counts
32 → 384
Calls
Call 1
Inputs
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x) #<representation:binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) #<representation:binary32>) () ())
#s(alt (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (patch (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) #<representation:binary32>) () ())
#s(alt (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (patch (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) #<representation:binary32>) () ())
#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x) #<representation:binary32>) () ())
#s(alt #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) (patch #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) #<representation:binary32>) () ())
#s(alt #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)) (patch #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)) #<representation:binary32>) () ())
#s(alt (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x) (patch (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x) #<representation:binary32>) () ())
#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) #<representation:binary32>) () ())
#s(alt (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) (patch (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) #<representation:binary32>) () ())
#s(alt (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) (patch (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) #<representation:binary32>) () ())
#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation:binary32>) () ())
#s(alt (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation:binary32>) () ())
#s(alt (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (patch (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #<representation:binary32>) () ())
#s(alt (copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x) (patch (copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x) #<representation:binary32>) () ())
#s(alt (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) #<representation:binary32>) () ())
#s(alt (*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))) (patch (*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))) #<representation:binary32>) () ())
#s(alt (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))) (patch (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))) #<representation:binary32>) () ())
#s(alt (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (patch (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) #<representation:binary32>) () ())
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) x) #<representation:binary32>) () ())
#s(alt (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) (patch (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #<representation:binary32>) () ())
#s(alt (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (patch (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #<representation:binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (patch (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #<representation:binary32>) () ())
#s(alt (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (patch (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #<representation:binary32>) () ())
#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation:binary32>) () ())
#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation:binary32>) () ())
#s(alt (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #<representation:binary32>) () ())
#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation:binary32>) () ())
#s(alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #<representation:binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) #<representation:binary32>) () ())
#s(alt (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (patch (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) #<representation:binary32>) () ())
#s(alt (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (patch (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) #<representation:binary32>) () ())
Outputs
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x) #<representation:binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) #<representation:binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) #<representation:binary32>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) #<representation:binary32>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) #<representation:binary32>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (patch (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) #<representation:binary32>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (patch (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) #<representation:binary32>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (patch (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) #<representation:binary32>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (patch (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) #<representation:binary32>) () ())) ())
#s(alt (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (taylor 0 x) (#s(alt (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (patch (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (taylor 0 x) (#s(alt (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (patch (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (taylor 0 x) (#s(alt (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (patch (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (taylor 0 x) (#s(alt (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (patch (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) #<representation:binary32>) () ())) ())
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x) #<representation:binary32>) () ())) ())
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x) #<representation:binary32>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
32.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (pow (+ (fabs x) 1) -2) -1/8) (/ -1/8 (+ (fabs x) 1))) (* x x)) (+ (* (pow (+ (fabs x) 1) -2) -1/8) (/ -1/8 (+ (fabs x) 1))) (copysign (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) x) (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (+ (* x x) (- 1 (* x x))) (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))) (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))))) x) (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))))) (* (- (+ (/ (log (+ 1 (fabs x))) (pow x 4)) (/ 1/2 (* x (+ (* (fabs x) x) x)))) (+ (/ 1/8 (+ (fabs x) 1)) (/ 1/8 (pow (+ (fabs x) 1) 2)))) (pow x 4)) (+ (/ 1/8 (+ (fabs x) 1)) (/ 1/8 (pow (+ (fabs x) 1) 2))) (- (+ (/ (log (+ 1 (fabs x))) (pow x 4)) (/ 1/2 (* x (+ (* (fabs x) x) x)))) (+ (/ 1/8 (+ (fabs x) 1)) (/ 1/8 (pow (+ (fabs x) 1) 2)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (pow (+ (fabs x) 1) -2) (/ -1/8 (+ (fabs x) 1)) (* (/ 1/2 (+ (fabs x) 1)) x) (/ 1/2 (+ (fabs x) 1)) (sqrt (+ (* x x) 1)) (- (/ -1/2 x) x) (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x))))) (- (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1)) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (/ (log (+ 1 (fabs x))) (pow x 4)) (/ 1/8 (pow (+ (fabs x) 1) 2)))
32.0ms
x
@0
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12.0ms
x
@inf
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simplify285.0ms (3.2%)

Memory
23.3MiB live, 366.9MiB allocated
Algorithm
egg-herbie
Rules
18 864×lower-fma.f64
18 864×lower-fma.f32
5 170×lower-+.f64
5 170×lower-+.f32
5 036×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04175585
113405386
245355283
084714940
Stop Event
iter limit
node limit
Counts
384 → 379
Calls
Call 1
Inputs
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(+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))
x
(* x (+ 1 (* -1 (/ (fabs x) x))))
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x)))
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 (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 (fabs x))) (pow x 4))
(/ (log (+ 1 (fabs x))) (pow x 4))
(/ (log (+ 1 (fabs x))) (pow x 4))
(/ (log (+ 1 (fabs x))) (pow x 4))
(/ 1/8 (pow (+ 1 (fabs x)) 2))
(/ 1/8 (pow (+ 1 (fabs x)) 2))
(/ 1/8 (pow (+ 1 (fabs x)) 2))
(/ 1/8 (pow (+ 1 (fabs x)) 2))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -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 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))))
(* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))))
(* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))))
(* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))))
(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(* -1 (log (/ -1 x)))
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* 1/2 (/ (pow x 2) (+ 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 (fabs 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)
(* -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 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)
1
1
1
1
(* -1 x)
(* -1 (* x (+ 1 (/ (fabs x) x))))
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x)))))
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(log (/ -1 x))
(- (* -1 (/ (fabs x) x)) (* -1 (log (/ -1 x))))
(- (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x))))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x))))
(* -1 (* (pow x 4) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))))
(* (pow x 4) (- (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (* (pow x 2) (- (* -1 (fabs x)) 1))))))
(* (pow x 4) (- (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ (log (+ 1 (fabs x))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (* -1 (fabs x)) 1)))))
(* (pow x 4) (- (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ (log (+ 1 (fabs x))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (* -1 (fabs x)) 1)))))
(+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))
(+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))
(+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))
(+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))
(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (* (pow x 2) (- (* -1 (fabs x)) 1)))))))
(- (/ (log (+ 1 (fabs x))) (pow x 4)) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (/ 1/2 (* (pow x 2) (- (* -1 (fabs x)) 1))))))
(- (/ (log (+ 1 (fabs x))) (pow x 4)) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (/ 1/2 (* (pow x 2) (- (* -1 (fabs x)) 1))))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(/ 1 (pow (+ 1 (fabs x)) 2))
(/ 1 (pow (+ 1 (fabs x)) 2))
(/ 1 (pow (+ 1 (fabs x)) 2))
(/ 1 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (+ 1 (fabs x)))
(/ -1/8 (+ 1 (fabs x)))
(/ -1/8 (+ 1 (fabs x)))
(/ -1/8 (+ 1 (fabs x)))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -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 x)
(* -1 (* x (+ 1 (/ (fabs x) x))))
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1 (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)))
(/ (log (+ 1 (fabs x))) (pow x 4))
(/ (log (+ 1 (fabs x))) (pow x 4))
(/ (log (+ 1 (fabs x))) (pow x 4))
(/ (log (+ 1 (fabs x))) (pow x 4))
(/ 1/8 (pow (+ 1 (fabs x)) 2))
(/ 1/8 (pow (+ 1 (fabs x)) 2))
(/ 1/8 (pow (+ 1 (fabs x)) 2))
(/ 1/8 (pow (+ 1 (fabs x)) 2))
Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))))
(* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))))
(*.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (*.f32 x x))
(* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))))
(*.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (*.f32 x x))
(* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))))
(*.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (*.f32 x x))
(* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))))
(*.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (*.f32 x x))
(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))
(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))
(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))
(* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(* -1 (log (/ 1 (+ 1 (fabs x)))))
(log1p.f32 (fabs.f32 x))
(- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (fma.f32 (fma.f32 #s(literal 24 binary32) (fabs.f32 x) #s(literal 24 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (/.f32 #s(literal -3 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
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(fma.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) x (neg.f32 x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(*.f32 (neg.f32 x) (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(*.f32 (neg.f32 x) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal 1/2 binary32) (fabs.f32 x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) 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)))
(-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(/ (log (+ 1 (fabs x))) (pow x 4))
(/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32)))
(/ (log (+ 1 (fabs x))) (pow x 4))
(/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32)))
(/ (log (+ 1 (fabs x))) (pow x 4))
(/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32)))
(/ (log (+ 1 (fabs x))) (pow x 4))
(/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32)))
(/ 1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))
(/ 1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))
(/ 1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))
(/ 1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))

rewrite368.0ms (4.1%)

Memory
-32.7MiB live, 434.3MiB allocated
Rules
6 720×lower-fma.f64
6 708×lower-fma.f32
4 740×lower-*.f64
4 726×lower-*.f32
2 508×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088693
0144683
1585631
25621631
08703614
Stop Event
iter limit
node limit
iter limit
Counts
32 → 649
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x)))))
(*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x))
(fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
#s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)))
#s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(fabs.f32 x)
(fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))
(+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))
(-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) x)
(pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))
(/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32)))
(/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x (fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x (fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))))
(*.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x) x)
(*.f32 (*.f32 x x) (fma.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(*.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x))
(*.f32 x (*.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1/64 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)))) (*.f32 x x)) (fma.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(/.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -6 binary32)) #s(literal -1/512 binary32) (/.f32 #s(literal -1/512 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 x x)) (-.f32 (hypot.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))) (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1/64 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32)))))
(/.f32 (*.f32 (*.f32 x x) (-.f32 (pow.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1/64 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))))) (fma.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(/.f32 (*.f32 (*.f32 x x) (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -6 binary32)) #s(literal -1/512 binary32) (/.f32 #s(literal -1/512 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))) (-.f32 (hypot.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))) (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1/64 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32)))))
(fma.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))) (*.f32 x x) (*.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)))
(fma.f32 (*.f32 x x) (*.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))) (*.f32 (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))) (*.f32 x x)))
(+.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))) (*.f32 x x)) (*.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)))
(+.f32 (*.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)) (*.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))) (*.f32 x x)))
(+.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)))) (*.f32 (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(+.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)))))
(*.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1/64 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))
(*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -6 binary32)) #s(literal -1/512 binary32) (/.f32 #s(literal -1/512 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (hypot.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))) (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1/64 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))))
(*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/8 binary32) (fma.f32 #s(literal -1/8 binary32) (fabs.f32 x) #s(literal -1/8 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))))
(*.f32 #s(literal -1 binary32) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(*.f32 #s(literal -1/8 binary32) (+.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(*.f32 #s(literal -1/8 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))))
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(+.f32 (log.f32 (pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1/2 binary32))))
(+.f32 (neg.f32 (log1p.f32 (fma.f32 (neg.f32 x) x (*.f32 x x)))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (log.f32 #s(literal -1 binary32)))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(+.f32 (log.f32 (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(+.f32 #s(literal 0 binary32) (neg.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(+.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (neg.f32 (log1p.f32 (fma.f32 (neg.f32 x) x (*.f32 x x)))))
(+.f32 (neg.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal 0 binary32))
(neg.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(neg.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(*.f32 (-.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (fabs.f32 x))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 (neg.f32 x) #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (fabs.f32 x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (neg.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))))
(-.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(-.f32 (/.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(fma.f32 (pow.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)) (neg.f32 (fabs.f32 x)))
(fma.f32 (pow.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))) #s(literal 1/2 binary32)) (neg.f32 (fabs.f32 x)))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (neg.f32 (fabs.f32 x)))
(fma.f32 #s(literal -1 binary32) (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(pow.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1 binary32))
(+.f32 (neg.f32 (fabs.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (fabs.f32 x)))
(*.f32 (pow.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))
(exp.f32 (*.f32 (log1p.f32 (*.f32 x x)) #s(literal 1/2 binary32)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) (log1p.f32 (fabs.f32 x)) (/.f32 #s(literal 1/2 binary32) (hypot.f32 (pow.f32 x #s(literal 3/2 binary32)) x))) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (pow.f32 x #s(literal 4 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (pow.f32 (/.f32 (*.f32 x x) (log1p.f32 (fabs.f32 x))) #s(literal -1 binary32)))
(*.f32 (pow.f32 x #s(literal -4 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 (fabs.f32 x))) #s(literal -1 binary32)))
(*.f32 (pow.f32 x #s(literal -4 binary32)) (log1p.f32 (fabs.f32 x)))
(*.f32 (neg.f32 (log1p.f32 (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 x #s(literal 4 binary32)))))
(*.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal -4 binary32)))
(*.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal -4 binary32)) (log1p.f32 (fabs.f32 x))))
(/.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (*.f32 x x)) (*.f32 x x))
(/.f32 (neg.f32 (neg.f32 (log1p.f32 (fabs.f32 x)))) (neg.f32 (neg.f32 (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (*.f32 (log1p.f32 (fabs.f32 x)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))
(/.f32 (neg.f32 (log1p.f32 (fabs.f32 x))) (neg.f32 (pow.f32 x #s(literal 4 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (log1p.f32 (fabs.f32 x)))))
(/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (log1p.f32 (fabs.f32 x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) (log1p.f32 (fabs.f32 x))))
(pow.f32 (/.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (log1p.f32 (fabs.f32 x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (log1p.f32 (fabs.f32 x))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (log1p.f32 (fabs.f32 x)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (neg.f32 (log1p.f32 (fabs.f32 x))) (pow.f32 x #s(literal 4 binary32))))
(neg.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (neg.f32 (pow.f32 x #s(literal 4 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(*.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)))
(*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal 1/8 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 8 binary32))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 #s(literal 1/8 binary32) (neg.f32 (neg.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal -1/8 binary32) (neg.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 8 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 8 binary32)))
(pow.f32 (/.f32 (*.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 8 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 8 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 8 binary32))) #s(literal -1 binary32)))
(neg.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32))))

eval197.0ms (2.2%)

Memory
-32.3MiB live, 291.8MiB allocated
Compiler

Compiled 40 056 to 4 728 computations (88.2% saved)

prune98.0ms (1.1%)

Memory
11.7MiB live, 136.5MiB allocated
Pruning

30 alts after pruning (22 fresh and 8 done)

PrunedKeptTotal
New1 185131 198
Fresh3912
Picked325
Done066
Total1 191301 221
Accuracy
99.8%
Counts
1 221 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.3%
(copysign.f32 (-.f32 (log.f32 (-.f32 (*.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (pow.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 2 binary32)))) x)
13.1%
(copysign.f32 (+.f32 (log.f32 (-.f32 (+.f32 (hypot.f32 x x) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (log.f32 (/.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (+.f32 (hypot.f32 x x) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))) x)
39.4%
(copysign.f32 (neg.f32 (+.f32 (log.f32 (pow.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #s(literal -1/2 binary32))))) x)
39.5%
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
21.7%
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
11.3%
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
14.4%
(copysign.f32 (neg.f32 #s(approx (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fabs.f32 x) x)))) x)
52.7%
(copysign.f32 (neg.f32 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x))))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
39.6%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
38.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
27.6%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
26.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
31.5%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
21.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
28.3%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
27.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
58.2%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
12.9%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)
13.2%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) x)))) x)
12.9%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))))) x)
12.9%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)))) x)
12.8%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x))) x)
13.2%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
13.2%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) x))) x)
12.8%
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
57.2%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x)
69.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
12.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
17.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (+.f32 (/.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (*.f32 x x)) (*.f32 x x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) x)
20.0%
#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x))
Compiler

Compiled 1 398 to 607 computations (56.6% saved)

regimes37.0ms (0.4%)

Memory
-11.5MiB live, 27.1MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 #s(approx (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 (neg.f32 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x))))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))) x)
(copysign.f32 (-.f32 (log.f32 (-.f32 (*.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (*.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (pow.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 2 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (+.f32 (/.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (*.f32 x x)) (*.f32 x x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) x)
(copysign.f32 (neg.f32 (+.f32 (log.f32 (pow.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #s(literal -1/2 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (+ (* (pow x 4) (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))) (*.f32 (-.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fabs.f32 x) x x)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) x)
(copysign.f32 (+.f32 (log.f32 (-.f32 (+.f32 (hypot.f32 x x) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (log.f32 (/.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (+.f32 (hypot.f32 x x) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (/.f32 (-.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (-.f32 (*.f32 (pow.f32 (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 x #s(literal 8 binary32))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (log1p.f32 (fabs.f32 x)))) (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32)))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
Calls

2 calls:

25.0ms
x
10.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
99.0%3x
99.0%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes20.0ms (0.2%)

Memory
3.7MiB live, 39.5MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 #s(approx (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 (neg.f32 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x))))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 (neg.f32 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x))))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
Calls

2 calls:

11.0ms
x
8.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
98.4%3x
98.4%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes15.0ms (0.2%)

Memory
29.1MiB live, 29.2MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 #s(approx (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fabs.f32 x) x)))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
Calls

2 calls:

8.0ms
x
7.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
98.4%3x
98.4%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes25.0ms (0.3%)

Memory
-12.7MiB live, 23.8MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
Calls

2 calls:

17.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
7.0ms
x
Results
AccuracySegmentsBranch
95.2%3x
95.2%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes11.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
Outputs
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
Calls

2 calls:

5.0ms
x
5.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
94.7%3x
94.7%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes31.0ms (0.4%)

Memory
-27.3MiB live, 18.4MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
Outputs
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
Calls

2 calls:

25.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
5.0ms
x
Results
AccuracySegmentsBranch
94.4%3x
94.4%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes8.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
Calls

2 calls:

4.0ms
x
3.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
82.1%2x
82.1%2(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes10.0ms (0.1%)

Memory
-16.9MiB live, 18.9MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
Calls

2 calls:

6.0ms
x
3.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
69.9%1x
69.9%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes7.0ms (0.1%)

Memory
20.2MiB live, 20.2MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Outputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Calls

2 calls:

3.0ms
x
3.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
20.5%2x
20.5%2(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes8.0ms (0.1%)

Memory
-20.6MiB live, 18.0MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))))) x)
Outputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) x)))) x)
Calls

2 calls:

4.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
3.0ms
x
Results
AccuracySegmentsBranch
13.2%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
13.2%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes4.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) x))) x)
Outputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) x))) x)
Calls

2 calls:

2.0ms
x
2.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
13.2%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
13.2%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes4.0ms (0%)

Memory
10.8MiB live, 10.8MiB allocated
Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts
3 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)
Outputs
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
Calls

2 calls:

2.0ms
x
2.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
13.2%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
13.2%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.04124712944030762
1.3330094814300537
0.0ms
-2.038743019104004
-0.27099376916885376
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.04124712944030762
1.3330094814300537
0.0ms
-2.038743019104004
-0.27099376916885376
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.04124712944030762
1.3330094814300537
0.0ms
-2.038743019104004
-0.27099376916885376
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.04124712944030762
1.3330094814300537
0.0ms
-2.038743019104004
-0.27099376916885376
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.04124712944030762
1.3330094814300537
0.0ms
-2.038743019104004
-0.27099376916885376
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.04124712944030762
1.3330094814300537
0.0ms
-2.038743019104004
-0.27099376916885376
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.04124712944030762
1.3330094814300537
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.04125886410474777
1.7643784284591675
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify45.0ms (0.5%)

Memory
4.3MiB live, 42.2MiB allocated
Algorithm
egg-herbie
Rules
30×+-commutative-binary32-+.f32
28×*-commutative-binary32-*.f32
18×sub-neg-binary32-neg.f32-+.f32--.f32
10×neg-mul-1-binary32-*.f32-neg.f32
10×neg-sub0-binary32--.f32-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118825
1147825
2162825
3170825
4174825
5175825
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (neg.f32 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x))))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(if (<=.f32 x #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
Outputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x)) (*.f32 x x) (fma.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))))) x) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (neg.f32 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x))))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (neg.f32 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x))))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(if (<=.f32 x #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))
(if (<=.f32 x #s(literal 13421773/268435456 binary32)) (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (sqrt (+ (* x x) 1)) (fabs x))) 1))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)

soundness1.9s (21.5%)

Memory
20.3MiB live, 1 199.2MiB allocated
Rules
24 610×lower-fma.f64
24 610×lower-fma.f32
18 864×lower-fma.f64
18 864×lower-fma.f32
18 408×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055425
093416
1338408
22750403
08130403
03825678
111955260
240265033
082524678
04175585
113405386
245355283
084714940
088693
0144683
1585631
25621631
08703614
0169782
1490754
21513741
35415691
08408635
03734761
111494505
238024254
082053929
0944
01644
15144
232444
3341944
0835239
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 822 to 327 computations (60.2% saved)

preprocess162.0ms (1.8%)

Memory
12.9MiB live, 160.7MiB allocated
Compiler

Compiled 1 086 to 230 computations (78.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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